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Standard XI, , I, , Maharashtra State Bureau of Textbook Production and, Curriculum Research, Pune, � 154.00

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The Coordination Committee formed by GR No. Abhyas - 2116/(Pra.Kra.43/16) SD - 4, Dated 25.4.2016 has given approval to prescribe this textbook in its meeting held on, 20.6.2019 and it has been decided to implement it from academic year 2019-20., , CHEMISTRY, Standard XI, , Download DIKSHA App on your smartphone. If, you scan the Q.R. Code on this page of your, textbook, you will be able to access full text. If you, scan the Q.R. Code provided, you will be able to, access audio-visual study material relevant to each, lesson, provided as teaching and learning aids., , 2019, , Maharashtra State Bureau of Textbook Production and, Curriculum Research, Pune.

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The Constitution of India, , Preamble, WE, THE PEOPLE OF INDIA, having, solemnly resolved to constitute India into a, SOVEREIGN, SOCIALIST, SECULAR, DEMOCRATIC REPUBLIC and to secure to, all its citizens:, JUSTICE, social, economic and political;, LIBERTY of thought, expression, belief, faith, and worship;, EQUALITY of status and    of opportunity;, and to promote among them all, FRATERNITY assuring the dignity of, the individual and the unity and integrity of the, Nation;, IN OUR CONSTITUENT ASSEMBLY this, twenty-sixth day of November, 1949, do HEREBY, ADOPT, ENACT AND GIVE TO OURSELVES, THIS CONSTITUTION.

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NATIONAL ANTHEM

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Preface, Dear Students,, , We welcome you all to std. XI. For the first time, you are being introduced to the, subject of chemistry discipline. You have already been acquainted with some of the, concepts of chemistry from standard five onwards, especially in the subject of general, science up to standard eight and science and technology for standard nine and ten., Chemistry is very broad subject that covers many aspects of our everyday experience., This textbook aims to create awareness and to understand certain essential aspects by the, national curriculum framework (NCF) which was formulated in 2005, followed by the, state curriculum framework (SCF) in 2010. Based on these two framework, reconstruction, of the curriculum and prepartion of a revised syllabus has been done and designed now., The subject chemistry is the study of substances, their properties, structures and, transformation. The world is full of chemical substances and we need chemicals for many, useful purposes. Our body is a huge chemical factory. Keeping this in mind, the textbook, is written in organized manner. You can learn a very basic principles, understand facts, and put them into practice by learning in the classroom and laboratory. The textbook, is presented in a simple language with relevant diagrams, graphs, tables, photographs., This will help you to understant various terminology, concepts with more clarity. All the, illustrations are in color form. The new syllabus focuses on the basic principles, concepts,, laws based on precise observations, their applications in everyday life and ability to, solve different types of problems. The general teaching - learing objectives of the revised, syllabus are further determined on the basis of the ‘Principle of constructivism’ i.e. self, learning., The curriculum and syllabus is designed to make the students to think independently., The student are encouraged to read, study more through the additional information given, in the colored boxes. Activities have been introduced in each chapter. These activities, will not only help to understand the content knowledge on your own efforts. QR code, have been introduced for gaining the additional information, abstracts of chapters and, practice questions/ activities., The efforts taken to prepare the text book will help the students think about more, than just the content of the chemical concepts. Teachers, parents as well as those aspiring, condidates preparing for the competitive examinations will also be benefited., We look forward to a positive response from the teachers and students., Our best wishes to all !, , Pune, Date : 20 June 2019, Bharatiya Saur : 30 Jyeshtha 1941, , (Dr. Sunil Magar), Director, Maharashtra State Bureau of, Textbook Production and, Curriculum Research, Pune 4

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- For Teachers -, , Dear Teachers,, We are happy to introduce the revised textbook, of chemistry for std. XI. This book is a sincere, attempt to follow the maxims of teaching as well, as develop a ‘constructivist’ approach to enhance, the quality of learning. The demand for more, activity based, experiential and innovative learning, opportunities is the need of the time. The present, curriculum has been restructured so as to bridge the, credibility gap that exists in the experience in the, outside world. Guidelines provided below will help, to enrich the teaching - lerning process and achieve, the desired learning outcomes., • To begin with, get familiar with the textbook, yourself., • The present book has been prepared for, construtivism and activity based learning., • Teachers must skillfully plan and organize the, activities provided in each chapter to develop, interest as well as to stimulate the thought, process among the students., • Always teach with proper planning., • Use teaching aids as required for the proper, understanding of the subject., • Do not finish the chapter in short., • Follow the order of the chapters strictly as, listed in the contents because the units are, introduced in a graded manner to facilitate, knowledge building., , Remember, , •, , •, , •, , •, •, , •, •, , Try this, , Can you recall?, , Front Page : The photograph depicts transmission, electron micrograph (TEM) of a few layer, Graphene (left). The electron diffraction pattern, (hexagonal arrangement of spots corresponds to, the hexagonal symmetry of the structure of, Graphene (Right)., Picture Credit : Prof. Dr. M. A. More,, Department of Physics, Savitribai Phule Pune, Universiy, Pune 411007., , Observe and Discuss, , Each unit is structured in a definite manner., It starts from the basic concepts of general, chemistry required for each branch of, chemistry. Application of this knowledge will, help students to understand further chapters in, each unit., Each chapter provides solved problems on, each and every concept and various laws. The, solved problems are put into boxes. Teachers, should expalin each step of the problem and, give them pratice., Ask the students about the related information,, backgroud about the chapter. You are provided,, for this with the different boxes like ‘Can You, Recall’, ‘Do you know?’, Encourage the students to collect related, information by providing them the websites., Teaching- learning interactions, processes and, participation of all students are necessary and, so is your active guidance., Do not use the content of the boxes titles ‘Do, you know’? for evaluation., Exercises include parameters such as corelation, critical thinking, analytical reasoning, etc. Evaluation pattern should be based on the, given paramerters. Equal weightage should, be assigned to all the topics. Use different, combinations of questions., , Can you tell?, , Use your brain power, Just think, , Do you know ?, , Find out, , Activity :, , Exercises, Internet my friend, , DISCLAIMER Note : All attempts have been made to contact copy right/s (©) but we have not heard from them. We will, be pleased to acknowledge the copy right holder (s) in our next edition if we learn from them.

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Competency Statements - Standard XI, Area/ Unit/, Lesson, , After studying the contents in Textbook students....., , •, •, •, •, •, General, chemistry, , •, •, •, •, •, •, •, •, •, •, •, , Inorganic, chemistry, , •, •, •, •, •, •, •, •, •, , Understand the SI unit of important fundamental scientific quantities., Explain various fundamental laws of chemical combination, which are, applied in day-to-day life., Relate basic concepts of number of moles and molecules., Differentiate between quantitative and qualitative analysis., Develop accuracy, precision, concentration ability in taking accurate, reading., Calculate empirical formula and molecular formula of compounds., Obtain information about different techniques to purify substance as, well as separation of miscible solids and liquids., Gain the information about various theories, principles, put up by, eminent Scientists leading to atomic stucture., Classify elements isotopes, isobars and isotones., Understand the duel nature of electron., Application of concept of quantum number in writing electronic, configuration of various elements., Inculcate social and scientific awareness by gaining knowledge of, oxidation-reduction concept., Evaluate oxidation number of elements and balance the redox reaction, by different methods., Categorize oxidizing and reducing agents with their applications., Classify elements based on electronic configuration., Understand co-relation between the various properties like atomic size,, valency, oxidation state, ionization enthalpy and electronegativity in a, group and in a period., Recognize isoelectronic species., Compare the trends in physical and chemical properties in group I and, group II. Understand the diagonal relationship., Gain the knowledge of hydrogen from periodic table., Develop interest in systematic study of elements present in Group 13,, Group 14 and group15., Learn anomalous behaviors of boron, carbon and nitrogen ., Draw the structures of some compounds of boron, carbon and nitrogen., Elaborate information about various theories to explain nature of, bonding in formation of molecules., Inculcate skill to draw Lewis structure of molecules., Assign the structures of various compounds with respect to geometry,, bond angle and types of bond.

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•, , Physical, chemistry, , •, •, •, •, •, •, •, •, •, •, •, , Organic, chemistry, , •, •, •, •, , Generate environmental awareness by compiling concepts of, adsorption phenomenon., Learn science behind the fact about colloids in day to day life., Interpret nature, difference and relation of equilibrium constant., Design the suitable conditions to get more yield of the desired product., Differentiate nuclear reactions with ordinary chemical reaction., Acquire knowledge of natural radioactivity and related terms like, nuclear transmutation, nuclear fission, nuclear fusion., Clarify the beneficial and harmful effects of radioactivity., State the applications of radioactive elements like carbon dating,, nuclear reactor, generation of electricity and medicinal uses., Develop mathematical skills in finding radioactive decay constant,, half life period and nuclear binding energy., Interpret the structure and functional group of organic compounds., IUPAC nomenclature of organic compounds., Understand the influence of electronic displacement and reactivity in, organic molecules., Draw the formulae of various isomers of organic compounds., Illustrate different methods of preparation and chemical properties of, hydrocarbons., Infer importance of hydrocarbon., Gain information of medicinal properties of some chemical, compounds and chemistry behind food quality and cleasing action., , CONTENTS, Sr. No, , Title, , Page No, , 1, , Some Basic Concepts of Chemistry, , 1 - 12, , 2, , Introduction to Analytical Chemistry, , 13 - 26, , 3, , Basic Analytical Techniques, , 27 - 34, , 4, , Structure of Atom, , 35 - 54, , 5, , Chemical Bonding, , 55 - 80, , 6, , Redox Reactions, , 81- 92, , 7, , Modern Periodic Table, , 93 - 109, , 8, , Elements of Group 1 and 2, , 110 - 122, , 9, , Elements of Group 13, 14 and 15, , 123 - 134, , 10, , States of Matter, , 135 - 159, , 11, , Adsorption and Colloids, , 160 - 173, , 12, , Chemical Equilibrium, , 174 - 189, , 13, , Nuclear Chemistry and Radioactivity, , 190 - 203, , 14, , Basic Principles of Organic Chemistry, , 204 - 232, , 15, , Hydrocarbons, , 233 - 260, , 16, , Chemistry in Everyday Life, , 261 - 270

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1. Some Basic Concepts of Chemistry, 1.1 Introduction : Chemistry is the study of, matter, its physical and chemical properties, and the physical and chemical changes it, undergoes under different conditions., , 1.2.1. Matter : You have learnt earlier that, matter occupies space and has mass. Matter, can be further classified into pure substances, and mixtures on the basis of chemical, composition., Matter, , pure substances, elements, metals, , mixtures, , compounds, , homogeneous, , heterogeneous, , nonmetals metalloids, , Chemistry is a central science. Its, knowledge is required in the studies of physics,, biological sciences, applied sciences, and earth, and space sciences. The scope of chemistry is, in every aspect of life, for example, the air we, breathe, the food we eat, the fluids we drink,, our clothing, transportation and fuel supplies,, and so on., Though it is an ancient science, due to, development and advancement in science, and technology, chemistry has developed as, modern science. Technological development, in sophisticated instruments expanded our, knowledge of chemistry which, now, has been, used in applied sciences such as medicine,, dentistry, engineering, agriculture and in daily, home use products., 1.2 Nature of Chemistry : Chemistry is, traditionally classified further into five, branches : organic, inorganic, physical, bio, and analytical. Organic chemistry is the study, of the properties and reactions of compounds, of carbon. Inorganic chemistry is the study of, all substances which are not organic. Physical, chemistry is the study of principles underlying, chemistry. It deals with the studies of properties, of matter. It is study of atoms, molecules, and, fundamental concepts related to electrons,, energies and dynamics therein. It provides, basic framework for all the other branches of, chemistry., , Let us understand first what are pure, substances and mixtures., 1.2.2 Pure substances versus mixtures :, Pure substances have a definite chemical, composition. They always have the same, properties regardless of their origin. Mixtures, have no definite chemical composition and, hence no definite properties., Examples of pure substances : Pure metal,, distilled water, etc., Examples of mixtures : Paint (mixture of oils,, pigment, additive), concrete (a mixture of, sand, cement, water), , Can you tell?, Which are mixtures and pure substances, from the following ?, i. sea water ii. gasoline iii. skin iv. a rusty, nail v. a page of the textbook. vi. diamond, Pure substances are further divided into, elements and compounds. Elements are, pure substances which can not be broken, down into simpler substances by ordinary, chemical changes. Elements are further, classified as metals, nonmetals and metalloids., , 1

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1. Metals :, i. have a lustre (a shiny appearance)., ii. conduct heat and electricity., iii. can be drawn into wire (are ductile)., iv. can be hammered into thin sheets (are, malleable)., Examples : gold, silver, copper, iron. Mercury, is a liquid metal at room temperature., 2. Non-metals :, i. have no lustre. (exception : diamond, iodine), ii. are poor conductors of heat and electricity., (exception : graphite), iii. can not be hammered into sheets or drawn, into wire, because they are brittle., Examples : Iodine, nitrogen, carbon, etc., 3.Metalloids : Some elements have properties, intermediate between metals and non-metals, and are called metalloids or semi-metals., Examples include arsenic, silicon and, germanium., Compounds are the pure substances, which can be broken down into simpler, substances by ordinary chemical changes., In a compound, two or three elements are, combined in a fixed proportion., Mixture contains two or more substances, in no fixed proportions and may be separated, by physical methods. Mixtures are further, divided into homogeneous and heterogeneous., Solutions are homogeneous mixtures, because, the molecules of constituent solute and solvent, are uniformly mixed throughout its bulk., In heterogeneous mixtures the molecules, of the constituents are not uniformly mixed, throughout the bulk. For example : Suspension, of an insoluble solid in a liquid., 1.2.3 States of matter : You are also aware, that matter exists in three different states, namely gas, liquid and solid. You are going to, learn about these states in unit 3 (chapter 10)., In solids, constituent atoms or molecules, (particles) are tightly held in perfect order and, therefore solids possess definite shape and, volume. Liquids contain particles close to, each other and they can move around within, the liquid. While in gases, the particles are far, , apart as compared to those in liquid and solid, state., Three states of matter are interconvertible, by changing the conditions of temperature and, pressure., Can you tell?, Classify the following as element and, compound., i. mercuric oxide ii. helium gas iii. water iv., table salt v. iodine vi. mercury vii. oxygen, viii. nitrogen, 1.3 Properties, measurement :, , of, , matter, , and, , their, , Fig : 1.1 Burning of magnesium wire, , Different kinds of matter have, characteristic properties, which can be, classified into two categories as physical, properties and chemical properties., Physical properties are those which can, be measured or observed without changing, the chemical composition of the substance., Colour, odour, melting point, boiling point,, density, etc. are physical properties. Chemical, properties are the properties where substances, undergo a chemical change and thereby, exhibit change in chemical composition. For, example, coal burns in air to produce carbon, dioxide or magnesium wire burns in air in the, presence of oxygen to form magnesium oxide., (Fig. 1.1), 1.3.1 Measurement of properties : Many, properties of matter are quantitative in nature., When you measure something, you are, comparing it with some standard. The standard, quantity is reproducible and unchanging., , 2

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Many properties of matter such as mass,, length, area, pressure, volume, time, etc., are quantitative in nature. Any quantitative, measurement is expressed by a number, followed by units in which it is measured., For example, length of class room can be, represented as 10 m. Here 10 is the number and, 'm' denotes metre-the unit in which the length, is measured., The standards are chosen orbitrarily, with some universally acceped criteria. ''The, arbitrarily decided and universally accepted, standards are called units.'', There are several systems in which units, are expressed such as CGS (centimetre for, length, gram for mass and second for time),, FPS (foot, pound, second) and MKS (metre,, kilogram, second) systems, etc., Base Physical Quantity, Length, Mass, Time, Electric current, Thermodynamic temperature, Amount of substance, Luminous intensity, , SI units :, In 1960, the general conference of weights, and measure, proposed revised metric system,, called International System of units, that is,, SI units., The metric system which originated in, France in late eighteenth century, was more, convenient as it was based on the decimal, system. Later, based on a common standard, system, the International System of Units (SI, units) was established., The SI system has seven base units as, listed in Table 1.1. These are fundamental, scientific quantities. Other units like speed,, volume, density, etc. can be derived from these, quantities., , Table 1.1 SI Fundamental units, Symbol for Quantity, Name of SI Unit, metre, l, kilogram, m, second, t, ampere, I, Kelvin, T, mole, n, candela, Iv, , 1.3.2 Physical properties, i. Mass and weight : We know that matter, has mass. So mass is an inherent property of, matter. It is the measure of the quantity of, matter a body contains. The mass of a body, does not vary as its position changes. On the, other hand, the weight of a body is result of the, mass and gravitational attraction. The weight, of a body varies because the gravitational, attraction of the earth for a body varies with, the distance from the centre of the earth., Hence, the mass of a body is more, fundamental property than its weight., The basic unit of mass in the SI system is, the kilogram as given in Table 1.1. However,, a fractional quantity 'gram' is used for, weighing small quantities of chemicals in the, laboratories. Therefore, in terms of grams it is, defined (1kg = 1000 g = 103 g ), , Symbol for SI Unit, m, kg, s, A, K, mol, cd, , ii. Length : In chemistry we come across, 'length' while expressing properties such as, the atomic radius, bond length, wavelenght of, electromagnetic radiation, and so on. These, quantities are very small therefore fractional, units of the SI unit of length are used for, example, nanometre (nm), picometre (pm)., Here 1nm = 10-9 m, 1 pm = 10-12 m., iii. Volume : It is the amount of space occupied, by a three dimensional object. It does not, depend on shape. For measurement of volume, of liquids and gases, a common unit, litre (L), which is not an SI unit is used., 1 L = 1 dm3 = 1000 mL = 1000 cm3, 1000 cm3 = 10 cm × 10 cm × 10 cm of volume, SI unit of volume is expressed as (metre)3, or m3., , 3

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Fahrenheit) and K (Kelvin). Here K is the SI, unit. Figure 1.4 shows the thermometers based, on these scales., Generally, the thermometer with celsius, scale are calibrated from 0 0C to 100 0C where, these two temperatures are respectively the, freezing point and the boiling point of water, at atmospheric pressure. These are represented, on fahrenheit scale as 320 F to 2120 F., , Volume : 1000 cm3 ;, 1000 mL;, 1dm3 ;, 1L., , Volume : 1 cm3, 1 mL, , 1 cm, , 1 cm, , 10 cm = 1dm, , Fig. 1.2 : Litre and SI unit of volume, , 100 –, , 373.15 –, 370, , Different kinds of glassware are used to, measure the volume of liquids and solutions., For example, graduated cylinder, burette,, pipette, etc. A volumetric flask is used to, prepare a known volume of a solution. Figure, 1.3 shows the types of apparatus used in, laboratory for measuring volume of liquids., , 80, , 350, , 70, , 340, , 60, , 330, , 50, , 320, , 40, , 310, , 30, , 300, , 20, , 290, , 10, , 280, 270, , 0–, , mL, 100, 90, 80, 70, 60, 50, 40, 30, 20, 10, , mL, 0, 1, 2, 3, 4, , Value, (stopcock), controls the, liquid flow, , 100-mL, graduated cylinder, , 0–, , 25-mL pipette, , Kelvin, , Calibration, mark indicates, 250-ml volume, , 32 –, , -20, -273.15 –, , Celsius, , – 210, – 200, – 190, – 180, – 200, – 160, – 150, – 140, – 130, – 120, – 100, – 90, – 80, – 70, – 60, – 50, – 40, – 30, – 20, – 10, –0, – 0 - 10, , -459.67 –, , Water boils, at sea level, , Body temperature, 98.6º F, 37º C, , Water freezes, at sea level, , Absolute Zero — all molecular, motion STOPS, , Fahernheit, , Fig 1.4 : Thermometers of different, temperature scale, , 44, 45, 46, 47, 48, 49, 50, , 50-mL burette, , 0, -10, , 260, 250, , Calibration, mark indicates, 25-ml volume, , 212 –, , 90, , 360, , 273.15 –, , 100, , The temperatures on two scales are related to, each other by the following relationship :, 9 0, 0, F=, ( C) + 32, 5, 250-mL, volumetric flask, , The Kelvin scale is related to Celsius scale as, follows :, K = 0C + 273.15, 1.4 Laws of Chemical Combination : The, elements combine with each other and form, compounds. This process is governed by five, basic laws discovered before the knowledge of, molecular formulae., 1.4.1 Law of conservation of mass : Antoine, Lavoisier (1743-1794) a, French scientist is often, referred to as the father, of modern chemistry., He carefully performed, many, combustion, experiments,, namely,, burning of phosphorus and mercury, both in, the presence of air. Both resulted in an increase, in weight. After several experiments he found, that the weight gained by the phosphorus was, , Fig. 1.3 : Volumetric glass apparatus, , iv. Density : Density of a substance is its, mass per unit volume. It is determined in, the laboratory by measuring both the mass, and the volume of a sample. The density is, calculated by dividing mass by volume. It is, the characteristic property of a substance., So SI unit of density can be obtained as follows:, SI unit of mass, SI unit of volume, kg, =, or kg m-3, m3, g, CGS units it is, or g mL-1 or g cm-3, mL, SI unit of density =, , v. Temperature : Temperature is a measure of, the hotness or coldness of an object. There are, three common scales to measure temperature,, namely 0C (degree Celsius), 0F (degree, , 4

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exactly the same as the weight lost by the air., He observed that,, Total mass of reactants, , = Total mass of products, When hydrogen gas burns and combines, with oxygen to yield water, the mass of the, water formed is equal to the mass of the, hydrogen and oxygen consumed. Thus, the, law of conservation of mass states that 'mass, can neither be created nor destroyed.', 1.4.2 Law of Definite Proportions :, French chemist, Joseph Proust performed, experiments on two samples of cupric, carbonate. One of the samples was natural in, origin and the other was a synthetic one. He, found that the composition of elements present, in it was same for both the samples as shown, below :, Cupric, Carbonate, Natural, sample, Synthetic, sample, , hydrogen peroxide., Hydrogen + Oxygen, Water, 2g, 16 g, 18 g, Hydrogen+ Oxygen, Hydrogen Peroxide, 2g, 32 g, 34 g, Here, it is found that, the two masses of, oxygen i.e. 16 g and 32 g which combine with, a fixed mass of hydrogen (2g) are in the ratio, of small whole numbers, i. e. 16:32 or 1:2., ii. Nitrogen and oxygen combine to form two, compounds, nitric oxide and nitrogen dioxide., Nitrogen + Oxygen, Nitric Oxide, 14 g, 16 g, 30 g, Nitrogen + Oxygen, Nitrogen Dioxide, 14 g, 32 g, 46 g, Here, you find that the two masses of oxygen, i.e. 16 g and 32 g when combine with a fixed, mass of Nitrogen (14 g) are in the ratio of, small whole numbers i.e. 16:32 or 1:2., (Similar examples such as CO and CO2, (1:2 ratio), SO2 and SO3 (2:3 ratio), can be, found.), 1.4.4 Gay Lussac Law of Gaseous Volume, : This law was put forth by Gay Lussac, in 1808. The law states that when gases, combine or are produced in a chemical, reaction they do so in a, simple ratio by volume,, provided all gases are at, same temperature and, pressure., Illustration : i. Under, the same conditions of, temperature and pressure,, 100 mL of hydrogen, combines with 50 mL of oxygen to give 100, mL of water vapour., Hydrogen (g) + Oxygen (g), Water(g), 100 mL, 50 mL, 100 mL, (2 vol), (1 vol) , (2 vol), Thus, the volumes of hydrogen gas and oxygen, gas which combine together i.e. 100 mL and, 50 mL producing two volumes of water vapour, which amounts to 100 mL bear a simple ratio, of 2:1:2, ii. Under the same condition of temperature, and pressure,, , % of, % of % of carbon, copper oxygen, 51.35, 38.91, 9.74, 51.35, , 38.91, , 9.74, , This led Joseph Proust to state the law of, definite proportion as follows :, 'A given compound always contains exactly, the same proportion of elements by weight.', Irrespective of the source, a given compound, always contains same elements in the same, proportion. The validity of this law has been, confirmed by various experiments. This law, is sometimes referred to as Law of definite, composition., 1.4.3 Law of multiple proportions :, This law was proposed by John Dalton in, 1803. It has been observed that two or more, elements may form more than one compound., Law of multiple proportions summarizes, many experiments on such compounds. When, two elements A and B form more than one, compounds, the masses of element B that, combine with a given mass of A are always, in the ratio of small whole numbers. For, example, i. Hydrogen combines with oxygen, to form two compounds, namely water and, , 5

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1 L of nitrogen gas combines with 3 L of, hydrogen gas to produce 2 L of ammonia gas., Nitrogen (g) + Hydrogen (g), Ammonia(g), 1L, 3L, 2L, (1 vol), (3 vol), (2 vol), Thus, the volume of nitrogen gas and hydrogen, gas which combine together i.e. 1 L and 3 L, and volume of ammonia gas produced i. e. 2 L, bear a simple ratio of 1:3:2., , Therefore, 2 molecules of hydrogen, gas combine with 1 molecule of oxygen to, give 2 molecules of water vapour. Avogadro, could explain the above result by considering, the molecules to be polyatomic. If hydrogen, and oxygen were considered as diatomic, as, recognized now, then the above results are, easily understandable., Remember, , Remember, , Avogadro made a distinction between atoms, and molecules, which is quite understandable, in the present time., , Gay Lussac's discovery of integer ratio in, volume relationship is actually the law of, definite proportion by gaseous volumes., Can you tell?, If 10 volumes of dihydrogen gas react, with 5 volumes of dioxygen gas, how, many volumes of water vapour would be, produced?, , 1 volume of, hydrogen, , 1 volume of, hydrogen, , 1 volume of, oxygen, , 2 volume of, water vapour, , Fig. 1.5 : two volume of hydrogen react with, one volume of oxygen to give two volumes of, water vapour, , 1.5 Avogadro Law : In, 1811, Avogadro proposed, that equal volumes of, all gases at the same, temperature and pressure, contain equal number of, molecules., If we consider the, reaction of hydrogen and oxygen to produce, water vapour., Hydrogen (g) + Oxygen (g), Water (g), 100 mL, 50 mL, 100 mL, (2 vol), (1 vol), (2 vol), (Gay Lussac Law), 2n molecules n molecules, 2n molecules, (Avogadro law), 2 molecules, 1 molecule, 2 molecules, We see that 2 volumes of hydrogen, combine with 1 volume of oxygen to give 2, volumes of water vapour, without leaving any, unreacted oxygen. According to Avogadro, law, if 1 volume contains n molecules, then, 2n molecules of hydrogen combine with n, molecules of oxygen to give 2n molecules of, water., , 1.6 Dalton's Atomic Theory : In 1808,, Dalton published ''A New System of chemical, philosophy'', in which he proposed the, following features, which later became famous, as Dalton's atomic theory., 1. Matter consists of tiny, indivisible particles, called atoms., 2. All the atoms of a given elements have, identical properties including mass. Atoms, of different elements differ in mass., 3. Compounds are formed when atoms of, different elements combine in a fixed ratio., 4. Chemical reactions involve only the, reorganization of atoms. Atoms are neither, created nor destroyed in a chemical reaction., Dalton's theory could explain all the laws of, chemical combination., Can you recall?, What is an atom and a moleule ?, What is the order of magnitude of mass of, one atom ? What are isotopes?, , 6

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1.7 Atomic and molecular masses : You, know about the terms atoms and molecules., Thus it is appropriate here to understand what, we mean by atomic and molecular masses., 1.7.1 Atomic Mass : Every element has a, characteristic atomic mass. Atomic mass is the, mass of an atom. It is actually very very small., For example, the mass of one hydrogen atom, is 1.6736 × 10-24 g. This is very small quantity, and not easy to measure., In the present system, mass of an atom, is determined relative to the mass of a carbon, - 12 atom as the standard and this has been, agreed upon in 1961 by IU PAC. In this system,, an atom of carbon-12 is assigned a mass of, exactly 12.00000 atomic mass unit (amu) and, all other atoms of other elements are given a, relative atomic mass, to that of carbon - 12., The atomic masses are expressed in amu., One amu is defined as a mass exactly equal, to one twelth of the mass of one carbon-12, atom. Later on the exact value of atomic mass, unit in grams was experimentally established., 1, 1 amu = 12 × mass of one C-12, 1, = 12 × 1.992648 × 10-23 g, , 1.7.2 Average Atomic Mass : Many naturally, occuring elements exist as mixture of more, than one isotope. Isotopes have different, atomic masses. The atomic mass of such an, element is the weighted average of atomic, masses of its isotopes (taking into account the, atomic masses of isotopes and their relative, abundance i.e. percent occurrance). This is, called average atomic mass of an element., For example, carbon has the following three, isotopes with relative abundances and atomic, masses as shown against each of them., Isotope, Atomic, Relative, mass (u) Abundance (%), 12, C, 12.00000, 98.892, 13, C, 13.00335, 1.108, 14, C, 14.00317, 2 × 10-10, From the above data, the average atomic, mass of carbon, = (12 u) (98.892/100) + (13.00335 u), (1.108/100) + (14.00317) (2 × 10-10/100), = 12.011 u, Similary, average atomic masses for other, elements can be calculated., Remember, , = 1.66056 × 10-24 g, Recently, amu has been replaced by, unified mass unit called dalton (symbol 'u' or, 'Da'), 'u' means unified mass., Problem 1.1 : Mass of an atom of oxygen in, gram is 26.56896 × 10-24 g. What is the atomic, mass of oxygen in u ?, Solution : Mass of an atom of oxygen in gram, is 26.56896 × 10-24 g, and, , •, , In the periodic table of elements, the, atomic masses mentioned for different, elements are actually their average, atomic masses., , •, , For practical purpose, the average, atomic mass is rounded off to the nearest, whole number when it differs from it by, a very small fraction., Element, , Isotopes, , Carbon, , 12, , C, 13C, 14C, , 12.011 u, , Rounded, off, atomic, mass, 12.0 u, , Nitrogen, Oxygen, Chlorine, Bromine, , 14, , N, 15N, 16, O, 17O, 18O, 35, Cl, 37Cl, 79, Br, 81Br, , 14.007 u, 15.999 u, 35.453 u, 79.904 u, , 14.0 u, 16.0 u, 35.5 u, 79.9 u, , 1.66056 × 10-24 g = 1 u, ∴ 26.56896 × 10-24 g = ?, =, , 26.56896 × 10-24 g, 1.66056 × 10-24 g/u, , = 16.0 u, , Similarly mass of an atom of hydrogen, = 1.0080 u, , 7, , Average, atomic, mass

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Problem 1.2 : Calculate the average atomic mass of neon using the following data :, Isotope, Atomic mass, 20, Ne, 19.9924 u, 21, Ne, 20.9940 u, 22, Ne, 21.9914 u, Solution : Average atomic mass of Neon (Ne), , Natural Abundance, 90.92%, 0.26 %, 8.82 %, , Atomic mass of 20Ne × % + Atomic mass of 21Ne × % + Atomic mass of 22Ne × %, =, 100, (19.9924u)(90.92) + (20.9940u)(0.26) + (21.9914u)(8.82), =, = 20.1707 u, 100, 1.7.3 Molecular Mass : Molecular mass of a, substance is the sum of average atomic masses, of all the atoms of elements which constitute, the molecule. Molecular mass of a substance, is the mass of one molecule of that substance, relative to the mass of one carbon-12 atom., It is obtained by multiplying average atomic, mass of each element by the number of its, atoms and adding them together., For example, the molecular mass of carbon, dioxide (CO2) is, = 1(average atomic mass of C), + 2 (average atomic mass of O), = 1 (12.0 u) + 2 (16.0 u) = 44.0 u, Some more examples of calculations of, molecular mass., i. H2O = 2 × 1 u + 16 u = 18 u, ii. C6H5Cl = (6 × 12 u) + (5 × 1 u) + (35.5 u), = 112.5 u, iii. H2SO4 =(2 × 1 u) + (32 u) +(4 × 16 u) = 98 u, , In sodium chloride crystal, one Na⊕ ion, is surrounded by six Cl ions, all at the same, distance from it and vice versa. Therefore,, NaCl is the formula used to represent, sodium chloride, though it is not a molecule., Similarly, a term 'formula mass' is used for, such ionic compounds, instead of molecular, mass. The formula mass of a substance is, the sum of atomic masses of the atoms, present in the formula., Problem 1.4 : Find the formula mass of, i. NaCl, ii. Cu (NO3)2, i. Formula mass of NaCl, = average atomic mass of Na, + average atomic mass of Cl, = 23.0 u + 35.5u = 58.5 u, ii. Formula mass of Cu(NO3)2, = average atomic mass of Cu + 2 × (average, atomic mass of nitrogen + average atomic, mass of three oxygen), = (63.5) + 2(14 + 3 x 16) = 187.5 u, , Problem 1.3 : Find the mass of 1 molecule, of oxygen (O2) in amu (u) and in grams., Solution : Molecular mass of O2 = 2 × 16 u, ∴mass of 1 molecule = 32 u, ∴mass of 1 molecule of O2, , = 32.0 × 1.66056 × 10-24 g, , = 53.1379 × 10-24 g, , Try this, Find the formula mass of CaSO4, If atomic mass of Ca = 40.1 u,, S =32.1 u and O = 16.0 u, , 1.7.4 Formula Mass, Some substances such as sodium chloride, do not contain discrete molecules as the, constituent units. In such compounds, cationic, (sodium) and anionic (chloride) entities are, arranged in a three dimensional structure., , 1.8 Mole concept and molar mass, Can you recall?, 1. One dozen means how many items ?, 2. One gross means how many items ?, , 8

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Mole : Expressing large count of objects is, made easy by using quantitative adjectives, such as dozen, gross. You know that even, a small amount of any substance contains, very large number of atoms or molecules. We, use a quantitative adjective 'mole' to express, the large number of submicroscopic entities, like atoms, ions, electrons, etc. present in a, substance., Definiton : One mole is the amount of a, substance that contains as many entities or, particles as there are atoms in exactly 12 g, (or 0.012 kg) of the carbon -12 isotope., Let us calculate the number of atoms in, 12.0000 g of Carbon-12 isotopes. Mass of, one carbon-12 atom (determined by mass, spectrometer) = 1.992648 × 10-23 g,, Mass of one mole carbon atom = 12 g, ∴Number of atoms in 12 g of carbon -12, =, , Molar Mass : The mass of one mole of a, substance (element/compound) in grams is, called its molar mass. The molar mass of, any element in grams is numerically equal to, atomic mass of that element in u., Element, H, C, O, , Atomic, mass (u), 1.0 u, 12.0 u, 16.0 u, , Molar mass, (g mol-1), 1.0 g mol-1, 12.0 g mol-1, 16.0 g mol-1, , Simillary molar mass of any substance,, existing as polyatomic molecule, in grams is, numerically equal to its molecular mass or, formula mass in u., Polyatomic, substance, O2, H 2O, NaCl, , 12g/mol, 1.992648 × 10-23 g/atom, , Molecular/, formula mass (u), 32.0 u, 18.0 u, 58.5 u, , Molar mass, (g mol-1), 32.0 g mol-1, 18.0 g mol-1, 58.5 g mol-1, , Molar mass of O atoms, = 6.022 × 1023atom/mol × 16 u/atom, × 1.66056 × 10-24 g/u = 16.0 g/mol, , = 6.0221367 × 1023 atom/mol, Thus one mole is the amount of a substance, that contains 6.0221367 × 1023 particles/, entities (such as atoms, molecules or ions)., Note that the name of the unit is mole and, the symbol for the unit is mol., , Problem 1.5 : Calculate the number of moles, and molecules of urea present in 5.6 g of urea., Solution : Mass of urea = 5.6 g, Molecular mass of urea, NH2CONH2, = 2 (average atomic mass of N) + 4 (average, atomic mass of H) + 1(average atomic mass of C), + 1(average atomic mass of O), = 2 × 14 u +1 × 12 u +4 ×1 u + 1 × 16 u, , = 60 u, ∴molar mass of urea = 60 g mol-1, Number of moles, , Remember, The number 6.0221367 × 1023 is known as, Avogadro's Constant 'NA' in the honour, of Amedo Avogadro., In SI system, mole (Symbol mol) was, introduced as seventh base quantity for the, amount of a substance., , =, , mass of urea in g, molar mass of urea in g mol-1, 5.6 g, =, = 0.0933 mol, 60 g mol-1, , Number of molecules = Number of moles ×, Avogadro's constant, Number of molecules of urea, = 0.0933 × 6.022 × 1023 molecules/mol, , = 0.5618 × 1023 molecules, , = 5.618 × 1022 molecules, Ans : Number of moles = 0.0933 mol, Number of molecules of urea, = 5.618 × 1022 molecules, , Example :, 1 mole of oxygen atoms = 6.0221367 × 1023, atoms of oxygen, 1 mole of water molecules = 6.0221367 × 1023, molecules of water, 1 mole of sodium chloride = 6.0221367 × 1023, formula units of NaCl, , 9

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Number of moles of a gas (n) =, , Problem 1.6 : Calculate the number of, atoms in each of the following, i. 52 moles of Argon (Ar), ii. 52 u of Helium (He), iii. 52 g of Helium (He), Solution :, i. 52 moles of Argon, 1 mole Argon atoms = 6.022 × 1023 atoms, of Ar, ∴52 moles of Ar, = 52 moles ×, , , , Volume of the gas at STP, Molar volume of gas, , Thus, Number of moles of a gas (n) =, , , Volume of the gas at STP, 22.4 dm3mol-1, , Number of molecules = number of moles ×, 6.022 × 1023 molecules mol-1, (Note : IUPAC has recently changed the, standard pressure to 1 bar. Under these new, STP conditions the molar volume of a gas is, 22.71 L mol-1), , 6.022 × 1023, atoms, 1mol, , = 313.144 × 1023 atoms of Argon, ii. 52 u of Helium, Atomic mass of He = mass of 1 atom of, He = 4.0u, ∴4.0 u = 1 He ∴52 u = ? 1atom, , = 52 u × 4.0 u = 13, atoms of He, iii. 52 g of He, Mass of 1 mole of He = 4.0 g, , Problem 1.7 : Calculate the number of, moles and molecules of ammonia (NH3), gas in a volume 67.2 dm3 of it measured, at STP., Solution :, Volume of NH3 at STP = 67.2 dm3, molar volume of a gas = 22.4 dm3 mol-1, , Number of moles of He, , Number of moles (n), , mass of He, mass of 1mole of He, 52 g, = 4.0 g mol-1 = 13 mol, , =, , =, , Volume of the gas at STP, Molar volume of gas, , 67.2 dm3, Number of moles of NH3 = 22.4 dm3 mol-1, , Number of atoms of He, = Number of moles × 6.022 × 1023, = 13 mol × 6.022 × 1023 atoms/mol, = 78.286 × 1023 atoms of He., , = 3.0 mol, Number of molecules = Number of moles ×, 6.022 × 1023 molecules mol-1, Number of molecules of NH3 = 3.0 mol ×, 6.022 × 1023 molecules mol-1, = 18.066 × 1023 molecules, , 1.9 Moles and gases : Many substances exist, as gases. If we want to find the number of moles, of gas, we can do this more conveniently by, measuring the volume rather than mass of the, gas. Chemists have deduced from Avogardro, law that ''One mole of any gas occupies a, volume of 22.4 dm3 at standard temperature, (00C) and pressure (1 atm) (STP). The, volume of 22.4 dm3 at STP is known as molar, volume of a gas., , Try this, Calculate the volume in dm3 occupied, by 60.0 g of ethane at STP., , 10

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Exercises, 1. Choose the most correct option., A. A sample of pure water, whatever the, source always contains, by, mass of oxygen and 11.1 % by mass of, hydrogen., a. 88.9 b. 18 c. 80, d. 16, B. Which of the following compounds can, NOT demonstrate the law of multiple, proportions ?, a. NO, NO2, b. CO, CO2, c. H2O, H2O2, d. Na2S, NaF, C. Which of the following temperature, will read the same value on celsius and, Fahrenheit scales., a. - 400 , b. + 400, 0, c. -80 , d. -200, D. SI unit of the quantity electric current is, a. Volt , b. Ampere, c. Candela, d. Newton, E. In the reaction N2 + 3H2, 2NH3,, the ratio by volume of N2, H2 and NH3, is 1 : 3 : 2 This illustrates the law of, a. definite proportion, b. reciprocal proportion, c. multiple proportion, d. gaseous volumes, F. Which of the following has maximum, number of molecules ?, a. 7 g N2 , b. 2 g H2, c. 8 g O2 , d. 20 g NO2, G. How many g of H2O are present in 0.25, mol of it ?, a. 4.5 , b. 18, c. 0.25 , d. 5.4, H. The number of molecules in 22.4 cm3 of, nitrogen gas at STP is, a. 6.022 x 1020, b. 6.022 x 1023, c. 22.4 x 1020, d. 22.4 x 1023, I. Which of the following has the largest, number of atoms ?, a. 1g Au (s), b. 1g Na (s), c. 1g Li (s), d. 1g Cl2 (g), , 11, , 2. Answer the following questions., A. State and explain Avogadro's law., B. Point out the difference between 12 g of, carbon and 12 u of carbon, C How many grams does an atom of, hydrogen weigh ?, D. Calculate the molecular mass of the, following in u., a. NH3 b. CH3COOH c. C2H5OH, E. How many particles are present in 1, mole of a substance ?, F. What is the SI unit of amount of a, substance ?, G. What is meant by molar volume of a, gas ?, H. State and explain the law of conservation, of mass., I. State the law of multiple proportions., 3. Give one example of each, A. homogeneous mixture, B. heterogeneous mixture, C. element , D. compound, 4. Solve problems :, A. What is the ratio of molecules in 1 mole, of NH3 and 1 mole of HNO3., (Ans. : 1:1), B. Calculate number of moles of hydrogen, in 0.448 litre of hydrogen gas at STP, (Ans. : 0.02 mol), C. The mass of an atom of hydrogen is, 1.008 u. What is the mass of 18 atoms, of hydrogen. (18.144 u), D. Calculate the number of atom in each, of the following (Given : Atomic mass, of, I = 127 u)., a. 254 u of iodine (I), b. 254 g of iodine (I), (Ans. : 2 atoms, 1.2044 x 1024 atoms), E. A student used a carbon pencil to write, his homework. The mass of this was, found to be 5 mg. With the help of this, calculate., a. The number of moles of carbon in his, homework writing., (Ans : 4.16 x 10-4)

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b. The number of carbon atoms in 12, mg of his homework writting, (Ans : 6.022 x 1020), F. Arjun purchased 250 g of glucose, (C6H12O6) for Rs 40. Find the cost of, glucose per mole., , (Ans : Rs 28.8), G. The natural isotopic abundance of 10B, is 19.60% and 11B is 80.40 %. The exact, isotopic masses are 10.13 and 11.009, respectively. Calculate the average, atomic mass of boron, (Ans. :10.81), H. Convert the following degree Celsius, temperature to degree Fahrenheit., a. 40 0C , b. 30 0C, (Ans. : A. 104 0F, B. 86 0F ), I. Calculate the number of moles and, molecules of acetic acid present in 22 g, of it., (Ans. : 0.3666 mol, 2.2076 x 1023, molecules ), J. 24 g of carbon reacts with some oxygen, to make 88 grams of carbon dioxide., Find out how much oxygen must have, been used., (Ans. : 64.0 ), K. Calculate number of atoms is each of, the following. (Average atomic mass :, N = 14 u, S = 32 u), a. 0.4 mole of nitrogen, b. 1.6 g of sulfur, (Ans. : A. 2.4088 x 1023 ,, B. 3.011 x 1022 atom ), L. 2.0 g of a metal burnt in oxygen gave, 3.2 g of its oxide. 1.42 g of the same, metal heated in steam gave 2.27 of its, oxide. Which law is verified by these, data ?, M. In two moles of acetaldehyde, (CH3CHO) calculate the following, a. Number of moles of carbon, b. Number of moles of hydrogen, c. Number of moles of oxygen, d. Number of molecules of acetaldehyde, (Ans. : A. 4 mol, B. 8 mol, C. 2 mol,, D. 12.044 x 1023 molecules ), , N. Calculate the number of moles of, magnesium oxide, MgO in i. 80 g and, ii. 10 g of the compound. (Average, atomic masses of Mg = 24 and O = 16), (Ans. i. 2 mol ii. 0.25 mol), O. What is volume of carbon dioxide, CO2, occupying by i. 5 moles and ii. 0.5 mole, of CO2 gas measured at STP., (Ans. i. 112 dm3 ii. 11.2dm3), P. Calculate the mass of potassium, chlorate required to liberate 6.72 dm3 of, oxygen at STP. Molar mass of KClO3 is, 122.5 g mol-1., (Ans. 24.5 g), Q. Calculate the number of atoms of, hydrogen present in 5.6 g of urea,, (NH2)2CO. Also calculate the number, of atoms of N, C and O., (Ans. : No. of atoms of H = 2.24 x 1023,, N =1.124 x 1023 and C = 0.562 x 1023, O, = 0.562 x 1023), R. Calculate the mass of sulfur dioxide, produced by burning 16 g of sulfur in, excess of oxygen in contact process., (Average atomic mass : S = 32 u,, O = 16 u), (Ans. 32 g), 5. Explain, A. The need of the term average atomic, mass., B. Molar mass., C. Mole concept., D. Formula mass with an example., E. Molar volume of gas., F. Types of matter (on the basis of chemical, composition)., , Activity :, Collect information of various scientists, and prepare charts of their contribution in, chemistry., , 12

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2. Introduction to analytical chemistry, 2.1 Intrduction : Analytical chemistry, facilitates, investigation, of, chemical, composition of substances. It uses the, instruments and methods to separate, identify, and quantify the matter under study. The, analysis thus provides chemical or physical, information about a sample. Analysis may, be qualitative or quantitative. Qualitative, analysis is concerned with the detection of the, presence or absence of elements in compounds, and mixture of compounds. Quantitative, analysis deals with the determination of the, relative proportions of elements in compounds, and mixture compounds., , 2.2 Analysis : Analysis is carried out on a, small sample of the material to be tested, and, not on the entire bulk. When the amount of, a solid or liquid sample is a few grams, the, analysis is called semi-microanalysis. It is, of two types : qualitative and quantitative., Classical qualitative analysis methods include, separations such as precipitation, extraction, and distillation. Identification may be based, on differences in colour, odour, melting, point, boiling point, and reactivity. Classical, quantitative methods consist of volumetric, analysis, gravimetric analysis, etc., 2.2.1 Chemical methods of qualitative, analysis : Chemical analysis of a sample is, carried out mainly in two stages : by the dry, method in which the sample under test is not, dissolved and by the wet method in which the, sample under test is first dissolved and then, analyzed to determine its composition. The dry, method is usually used as preliminary tests in, the qualititative analysis., The semi-micro qualitative analysis is, carried out using apparatus such as : test tubes,, beakers, evaporating dish, crucible, spot plate,, watch glass, wire guaze, water bath, burner,, blow pipe, pair of tongues, centrifuge, etc., The qualitative analysis of organic and, inorganic compounds involves different types, of tests. The majority of organic compounds, are composed of a relatively small number, of elements. The most important ones are :, carbon, hydrogen, oxygen, nitrogen, sulphur,, halogen, phosphorous. Elementary qualitative, analysis is concerned with the detection of the, presence of these elements. The identification, of an organic compound involves tests such as, detection of functional group, determinition, of melting/ boiling point, etc. The qualitative, analysis of simple inorganic compounds, involves detection and confirmation of cationic, , Remember, The branch of chemistry which deals, with the study of seperation, identification,, qualitative and quantitative determination, of the compositions of different substances,, is called analytical chemistry., Importance of analytical chemistry :, The course of analytical chemistry, extends the knowledge acquired by the, students in studying general, inorganic, and organic chemistry. Chemical analysis, is one of the most important methods of, monitoring the composition of raw materials,, intermediates and finished products, and also, the composition of air in streets and premises, of industrial plants. In agriculture, chemical, analysis is used to determine the compostion, of soils and fertilizers; in medicine, to, determine the composition of medicinal, preparations.Analytical, chemistry, has, applications in forensic science, engineering, and industry. Industrial process as a whole and, the production of new kinds of materials are, closely associated with analytical chemistry., Analytical chemistry consists of classical, wet, chemical methods and modern instumental, methods., , 13

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values as 6.022 x 1023 and 1.66 x 10-24 g. The, number 123.546 becomes 1.23546 x 102, in, scientific notation. Note that while writing it,, we have moved the decimal to the left by two, places and same is the exponent (2) of 10 in, the scientific notation. Similarly, 0.00015 can, be written as 1.5 x 10-4., , and anionic species (basic and acidic radical), in them., 2.2.2 Chemical methods of quantitative, analysis : Quantitative analysis of organic, compounds involves methods such as (i), determination of percentage constituent, element, (ii) concentrations of a known, compound in the given sample, etc., Quantitative analysis of simple inorganic, compounds involves methods based on (i), decomposition reaction (gravimetric analysis),, and (ii) the progress of reaction between two, solutions till its completion (titrametric or, volumetric analysis), etc. The quantitative, analytical methods involve measurement, of quantities such as mass and volume, by, means of some equipment/ apparatus such as, weighing machine, burette., 2.3 Mathematical operation and error, analysis : The accuracy of measurement is of, a great concern in analytical chemistry. Also, there can be intrinsic errors in the analytical, measurement. The numerical data, obtained, experimentally, are treated mathematically to, reach some quantitative conclusion. Therefore,, an anlytical chemist has to know how to report, the quantitative analytical data, indicating, the extent of the accuracy of measurement,, perform the mathematical operation and, properly express the quatitative error in the, result. In the following subsection we will, consider these aspects related to measurments, and calculation., 2.3.2 Scientific notation (exponential, notation) : A chemist has to deal with numbers, as large as 602,200,000,000, 000, 000, 000, 000, for the molecules of 2 g of hydrogen gas or as, small as 0.00000000000000000000000166g., that is, mass of a H atom. To avoid the writing, of so many zeros in mathematical operations,, scientific notations i.e. exponential notations, are used. Here, any number can be represented, into a form N x 10n where 'n' is an exponent, having positive or negative values and N can, vary 1 < N < 10. Thus, we can write the above, , Problem 2.1 : For adding 5.55 x 104 and, 6.95 x 103, first the exponent is made, equal. Thus, 5.55 x 104 + 0.695 x 104. Then these, numbers can be added as follows :, (5.55 + 0.695) x 104 = 6.245 x 104, Problem 2.2 : The subtraction of two, numbers can be done as shown below:, 3.5 x 10-2 - 5.8 x 10-3, = (3.5 x 10-2) - (0.58 x 10-2), = (3.5 - 0.58) x 10-2, = 2.92 x 10-2, Here the decimal has to be moved four, places to the right and (-4) is the exponent, in the scientific notation. Now let us perform, mathematical operations on numbers, expressed in scientific notation., Problem 2.3 : ( 5.6 x 105) x (6.9 x 108), = (5.6 x 6.9) (105+8), = (5.6 x 6.9) x 1013, = 38.64 x 1013, = 3.864 x 1014, Problem 2.4 : (9.8 x 10-2) x (2.5 x 10-6), = (9.8 x 2.5) (10-2 + (-6)), = (9.8 x 2.5) x (10-2-6), = 24.50 x 10-8, = 2.45 x 10-7, Addition and subtraction : To perform, addition operation, first the numbers are, written in such a way that they have the same, exponent. The coefficients are then added., (Problems 2.1 and 2.2), Multiplication : The rule for the multiplication, of exponential numbers can be well explained, from the solved problems 2.3 and 2.4., , 14

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2.3.2 Precision and accuracy of measurement, Aim of any measurement is to get the, actual value called true value or accepted, value of a quantity. Nearness of the measured, value to the true value is called the accuracy of, measurement. Larger the accuracy smaller the, error. Accuracy depends upon the sensitivity, or least count (the smallest quantity that can, be measured) of the measuring quuipment., consider, for example, a burette reading of, 10.2 mL. For all the three situations in the, Fig. 2.1 the reading would be noted as 10.2, mL It means that there is an uncertainty about, the digit appearing after the decimal point in, the reading 10.2 mL. This is because the least, count of the burette is 0.1 mL. The meaning, of the reading 10.2 mL is that the true value, of the reading lies between 10.1 mL and 10.3, mL. This is indicated by writing 10.2 ± 0.1, mL. Here, the burette reading has an error of ±, 0.1mL (Fig. 2.1)., Errors may be expressed as absolute or, relative error., Absolute error = Observed value - True value, Relative error is generally a more useful, quantity than absolute error. Relative error is, the ratio of an absolute error to the true value., It is expressed as a percentage., , Multiple readings of the same quantity, are noted to minimize the error. If the, readings match closely, they are said to, have high precision. High percision implies, reproducibility of the readings. High precision, is a prerequisite for high accuracy. Precision, is expressed in terms of deviation. An absolute, deviation is the modulus of the difference, between an observed value and the arithmetic, mean for the set of several measurements made, in the same way. It is a measure of absolute, error in the repeated observation., Absolute deviation = Observed value - Mean, Arithmetic mean of all the absolute, deviations is called the mean absolute, deviation in the measurements. The ratio of, mean absolute deviation to its arithmentic, means is called relative deviation., Relative deviation, = Mean absolute deviation x 100 %, Mean, Problem 2.5 : In laboratory experiment,, 10 g potassium chlorate sample on, decomposition gives following data ; The, sample contains 3.8 g of oxygen and the, actual mass of oxygen in the quantity of, potassium chlorate is 3.92 g. Calculate, absolute error and relative error., Solution : The observed is 3.8 g and, accepted value is 3.92 g, Absolute error = Observed value, - True value, = 3.8 - 3.92 = - 0.12 g, The negative sign indicates that your, experimental result is lower than the true, value., Absolute error, x 100%, The relative error =, True value, -0.12, =, x 100%, 3.92, , Absolute error, x 100 %, True value, There can be error in a measurement due, to a number of reasons including inefficiency, of the person doing measurement., Relative error =, , = -3.06 %, , Fig. 2.1 : Three possibilities of a burette, reading 10.2 mL, , 15

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2.3.4 Rules for deciding significant figures :, 1. All non zero digits are significant; e. g., 127.34 g contains five significant figures, which are 1, 2, 7, 3 and 4., 2. All zeros between two non zero digits are, significant e. g. 120.007 m contains six, significant figures., 3. Zeroes on the left of the first non zero digit, are not significant. Such a zero indicates the, position of the decimal point. For example,, 0.025 has two significant figures, 0.005 has, one significant figure., 4. Zeroes at the end of a number are significant, if they are on the right side of the decimal point., Terminal zeros are not significant if there is no, decimal point. (This is beacause the least count, of an instrument contains decimal point) For, example 0.400 g has three singnificant figures., The measurements here indicates that it is made, on a weighing machine having least count of, 0.001 g. Significant figures are also indicated, in scientific notation by means of decimal, point. For example, the measurment 400 g has, one significant figure. The measurement 4.0 ×, 102 g has two significant figures, wheras the, measurment 4.00 × 102 g has three significant, figures. The zeros after the decimal points in, these cases indicates that the least counts of, the weighing machines are 1 g, 0.1 g and 0.01, g, respectively., 5. In numbers written is scientific notation, all, digits are significant. For example, 2.035×102, has four significant figures, and 3.25 × 10-5 has, three significant figures., , Problem 2.6 : The three identical samples of, potassium chlorate are decomposed. The mass, of oxygen is determined to be 3.87 g, 3.95 g and, 3.89 g for the set. Calculate absolute deviation, and relative deviation., , Solution :, 3.87 + 3.95 + 3.89, = 3.90, mean =, 3, Average deviation of a set of, measurements, Sample Mass of oxygen Deviation, 1, 3.87g, 0.03g, 2, 3.95g, 0.05g, 3, 3.89g, 0.01g, Mean, 0.03, absolute, deviation, , Absolute deviation, = Observed value - Mean, ∴ Mean absolute deviation = ± 0.03 g., The relative deviation,, , = Mean absolute deviation x 100 %, Mean, 0.03, =, x 100% = 0.8%, 3.9, 2.3.3 Significant Figures : Uncertainty, in measured value leads to uncertainty in, calculated result. Uncertainty in a value, is indicated by mentioning the number of, significant figures in that value. Consider, the, column reading 10.2 ± 0.1 mL recorded on a, burette having the least count of 0.1 mL. Here, it is said that the last digit ‘2’ in the reading, is uncertain, its uncertainty is ±0.1 mL. On, the other hand, the figure ‘10’ is certain., The significant figures in a measurement, or result are the number of digits known, with certainty plus one uncertain digit. In a, scientific experiment a result is obtained by, doing calculation in which values of a number, of quantities measured with equipment of, different least counts are used., Following rules are to be followed during such, calculation., , Problem 2.7 : How many significant figures, are present in the following measurements ?, a. 4.065 m, b. 0.32 g, c. 57.98 cm3, d. 0.02 s, e. 4.0 x 10-4 km, f. 604.0820 kg , g. 307.100 x 10-5 cm, Ans. : a. 4, e. 2, , 16, , b. 2, f. 7, , c. 4, g. 6, , d. 1

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In general, a quantity measured with, an instrument of smaller least count will, have more significant figures and will be, more accurate than when measured with an, instrument of larger least count., 2.3.5 Calculations with significant figures :, When performing calculations with, measured quantities the rule is that the, accuracy of the final result is limited to the, accuracy of the least accurate measurement., In other words, the final result can not be, more accurate than the least accurate number, involved in the calculation., Rounding off : The final result of a calculation, often contains figures that are not significant., When this occurs the final result is rounded, off. The following rules are used to round off, a number to the required number of significant, figures :, If the digit following the last digit to, be kept is less than five, the last digit is left, unchanged., e.g. 46.32 rounded off to two significant, figures is 46., If the digit following the last digit to be, kept is five or more, the last digit to be kept is, increased by one. e.g. 52.87 rounded to three, significant figures is 52.9., , 2.4 Determination of molecular formula :, Molecular formula of a compound, is the formula which indicates the actual, number of atoms of the constituent elements, in a molecule. It can be obtained from the, experimentally determined values of percent, elemental composition and molar mass of that, compound., 2.4.1 Percent composition and empirical, formula : Compounds are formed by, chemical combination of different elements., Quantitative determination of the constituent, element by suitable methods provides the, percent elemental composition of a compound., If the percent total is not 100, the difference, is considered as percent oxygen. From the the, per cent composition, the ratio of the atoms, of the constituent elements in the molecule is, calculated. The simplest ratio of atoms of the, constituent elements in a molecule is called, the empirical formula of that compound., Molecular formula can be obtained from, the empirical formula if the molar mass is, known. The molar mass of the substance under, examination is determined by some convenient, method. The following example illustrates this, sequence., Problem 2.9 : A compound contains 4.07, % hydrogen, 24.27% carbon and 71.65 %, chlorine by mass. Its molar mass is 98.96, g. What is its empirical formula ? Atomic, masses of hydrogen, carbon and chlorine are, 1.008, 12.000 and 35.453 u, respectively, Solution :, Step I : Check whether the sum of all the, percentages is 100., 4.07 + 24.27 + 71.65 = 99.99 ≈100, Therefore no need to consider presence of, oxygen atom in the molecule., Step II : Conversion of mass percent to, grams. Since we are having mass percent, it, is convenient to use 100 g of the compound, as the starting material. Thus in the 100, g sample of the above compound, 4.07, g hydrogen 24.27 g carbon and 71.65 g, chlorine is present.......... Contd on next page, , Problem 2.8 : Round off each of the, following to the number of significant digits, indicated :, a. 1.223 to two digits b. 12.56 to three, digits c. 122.17 to four digits d. 231.5 to, three digits., Ans. : i. 1. 2; the third digit is less than 5, so, we drop it all the others to its right., ii. 12.6 ; the fourth digit is greater than 5, so, we drop it and add 1 to the third digit., iii. 122.2 ; the fifth digit is greater than 5, so, we do it and add 1 to the fourth digit., iv. 232; the fourth digit is 5, so we drop it, and add 1 to the third digit., , 17

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Step III : Convert into number/of moles of, each element. Divide the masses obtained, above by respective atomic masses of various, elements., 4.07 g, Moles of hydrogen =, = 4.04, 1.008 g, , Problem 2.10 : A compound with molar, mass 159 was found to contain 39.62, % copper and 20.13 % sulfur. Suggest, molecular formula for the compound, (Atomic masses: Cu = 63, S = 32 and O =, 16)., Solution :, % copper + % sulfur = 39.62 + 20.13, = 59.75, This is less than 100 % Hence compound, contains adequate oxygen so that the total, percentage of elements is 100%., Hence % of oxygen = 100 - 59.75 = 40.25%, , 24.27 g, = 2.0225, 12.01 g, 71.65 g, Moles of chlorine =, = 2.021, 35.453 g, Steps IV : Divide the mole values obtained, above by the smallest value among them., Since 2.021 is smallest value, division by it, gives a ratio of 2:1:1 for H:C:Cl., In case the ratio are not whole numbers, then, they may be converted into whole number by, multiplying by the suitable coefficient., Step V : Write empirical formula by, mentioning the numbers after writing the, symbols of respective elements. CH2Cl is, thus, the empirical formula of the above, compound., Step VI : Writing molecular formula, a. Determine empirical formula mass : Add, the atomic masses of various atoms present, in the empirical formula., For CH2Cl, empirical formula mass is, 12.01 + 2 x 1.008 + 35.453, = 49.48 g, b. Divide molar mass by empirical formula, mass, Molar mass, 98.96 g, =, ∴, Empirical formula mass, 49.48 g, Moles of carbons =, , % of Cu, Moles of Cu = Atomic mass of Cu, 39.62, =, = 0.629, 63, % of S, Moles of S =, Atomic mass of S, 20.13, =, = 0.629, 32, 40.25, % of O, Moles of O =, =, 16, Atomic mass of O, = 2.516, Hence the ratio of number of moles of, Cu:S:O is, 0.629, 0.629, 2.516, 0.629 = 1 0.629 = 1 and 0.629 = 4, Hence empirical formula is CuSO4, Empirical formula mass, = 63 + 32 +16 x 4 = 159, Molar mass = Empirical mass (Since Molar, mass = Molecular mass), ∴ Molecular formula = Empirical formula, = CuSO4, , ∴r = 2, c. multiply empirical formula by r obtained, above to get the molecular formula., Molecular formula = r x empirical formula, molecular formula is 2 x CH2Cl i.e. C2H4Cl2., , 2.5 Chemical reactions and stoichiometric calculations, Calculation based on a balanced chemical equations are known as stoichiometric calculations., Balanced chemical equation is symbolic representation of a chemical reaction. It supplies the, following information which is useful in solving problems based on chemical equations, i. It indicates the number of moles of the reactants involved in a chemical reaction and the, number of moles of the products formed., , 18

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ii., , It indicates the relative masses of the, reactants and products linked with a, chemical change, and, iii. it indicates the relationship between the, volume/s of the gaseous reactants and, products, at STP., 2.5.1 Stoichiometric problems, Generally problems based on stoichiometry, are of the following types :, a. Problems, based, on, mass-mass, relationship;, b. Problems based on mass-volume, relationship and, c. Problems based on volume-volume, relationship., Steps involved in problems based on, stoichiometric calculations :, 1. Write down the balanced chemical, equation representing the chemical, reaction., 2. Write the number of moles and the relative, masses or volumes of the reactants and, products below the respective formulae., 3. Relative masses or volumes should be, calculated from the respective formula, mass referring to the condition of STP., 4. Apply the unitary method to calculate, the unknown factor/s as required by the, problem., , Problem 2.12 : How much CaO will be, produced by decomposition of 5g CaCO3 ?, Solution : Calcium carbonate decomposes, according to the balanced equation,, ∆, CaO + CO2, CaCO3, 40 + 12 + 3 × 16, 40 + 16 12 + 2 × 16, = 100 parts, = 56 parts = 44 parts, So, 100 g of CaCO3 produces 56 g of CaO, ∴ 5 g of CaCO3 will produce, =, , Problem 2.13 : How many litres of oxygen, at STP are required to burn completely 2.2 g of, propane, C3H8 ?, Solution : The balanced chemical equation, for the combustion of propane is,, +, 5 O2, 3 CO2 + 4 H2O, C3H8, 3 × 12 + 8 × 1, 5 × 22.4 L , (44 g), , (112 L), , (Where 1 mol of ideal gas occupies 22.4 L of, volume), Thus 44 g of propane requires 112 litres of, oxygen for complete combustion, ∴ 2.2 g of propane will require, , 112, 44 × 2.2 = 5.6 litres of O2 at STP for complete, , combustion., , Problem 2.14 : A piece of zinc weighing, 0.635 g when treated with excess of dilute, H2SO4 liberated 200 cm3 of hydrogen at, STP. Calculate the percentage purity of the, zinc sample., Solution : The relevant balanced chemical, equation is,, Zn + H2SO4, ZnSO4 + H2, It indicates that 22.4 L of hydrogen at STP, = 65 g of Zn., (where Atomic mass of Zn = 65 u), ∴ 0.200 L of hydrogen at STP, 65g, × 0.200 L, = 0.58 g, =, 22.4 L, 0.58, ∴ percentage purity of Zn =, × 100, 0.635, = 91.33 %, , Problem 2.11 : Calculate the mass of, carbon dioxide and water formed on, complete combustion of 24 g of methane, gas. (Atomic masses, C = 12 u, H = 1 u, O, = 16 u), Solution : The balanced chemical equation, is,, CO2(g) + 2 H2O(g), CH4(g) + 2 O2(g), (12 + 4) 2 × (16 × 2) 12 + (16 × 2), = 16 g, = 64 g, = 44 g, , 56 g, × 5g = 2.8 g of CaCO3, 100 g, , 2 × (2 + 16), = 36 g, , Hence, 16 g of CH4 on complete combustion, will produce 44 g of CO2, 24, ∴ 24 g of CH4 = 16 × 44 = 66 g of CO2, Similarly, 16 g of CH4 will produce 36 g of, water., 24, 24 g of CH4 ≡ 16 × 36 = 54 g water., , 19

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2.6, , Limiting reagent, When a chemist carries out a reaction,, the reactants are not usually present in, exact stoichiometric amounts, that is, in the, proportions indicated by the balanced equation., Because the goal of a reaction is to produce, the maximum quantity of a useful compound, from the starting materials, frequently, a large, excess of one reactant is supplied to ensure, that the more expensive reactant is completely, converted into the desired product. The, reactant which is present in lesser amount gets, consumed after some time and subsequently,, no further reaction takes place, whatever be, the amount left of the other reactant present., Hence, the reactant which gets consumed,, limits the amount of product formed and is, therefore, called the limiting reagent., Consider the formation of nitrogen dioxide, (NO2) from nitric axide (NO) and oxygen, 2NO (g) + O2 (g), 2NO2 (g), Suppose initially we have 8 moles of NO, and 7 moles of O2. One way to determine which, of the two reactants in the limiting reagent is to, calculate the number of moles NO2 obtainable, from the given initial quantities of NO and O2., From the preceding definition, we see, that the limiting reagent will yield the smaller, amount of the product. Starting with 8 moles, of NO, we find the number of NO2 produced is, 2 mol NO2, = 8 mol NO2, 8 mol NO ×, 2 mol NO, and starting with 7 moles of O2, the, number of moles NO2 formed is, 2 mol NO2, = 14 mol NO2, 7 mol O2 ×, 1 mol O2, Because 8 moles NO result in a smaller, amount of NO2, NO must be the limiting, reagent, and O2 is the excess reagent, before, reaction has started., , treated with 1142 g of CO2. (a) Which of the, two reactants is the limiting reagent ? (b), Calculate the mass of (NH2)2CO formed. (c), How much excess reagent (in grams) is left, at the end of the reaction ?, Solution : (a) We carry out two separate, calculations. First : If 637.2 g of NH3 reacts, completely, calculate the number of moles, of (NH2)2CO, that could be produced, by the, following relation., mass of NH3, moles of NH3, moles of (NH4)2CO, moles of (NH2)2CO = 637.2 g NH3, 1 mol NH3, 1 mol (NH4)2CO, × 17.03 g NH ×, 2 mol NH3, 3, = 18.71 moles (NH2)2CO, Second : The relation from 1142 g of CO2:, mass of CO2, moles of CO2, moles of (NH2)2CO, The number of moles of (NH2)2CO that, could be produced if all the CO2 reacted :, moles of (NH2)2CO = 1142 g CO2, 1 mol CO2, 1 mol (NH2)2CO, ×, ×, 44.01 g CO2, 1 mol CO2, , = 25.95 mol (NH2)2CO, It follows, therefore, that NH3 must, be the limiting reagent because it produces, (a) smaller amount of (NH2)2CO) (b) The, molar mass of (NH2)2CO is 60.06 g. We use, this as a conversion factor to convert from, moles of (NH2)2CO to grams of (NH2)2CO., mass of (NH2)2CO = 18.71 mol (NH2)2CO, ×, ∴ , , 60.06 g (NH2)2CO, 1 mol, , = 1124 g (NH2)2CO, , (c) Starting with 18.71 moles of (NH2)2CO,, we can determine the mass of CO2 that, reacted using the mole ratio from the, balanced equation and the molar mass of, CO2, .............Contd. on next page, , Problem 2.15 : Urea [(NH2)2CO] is prepared, by reacting ammonia with carbon dioxide., 2NH3(g) + CO2(g), (NH2)2CO (aq), + H2O(l), In one process, 637.2 g of NH3 are, , 20

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The conversion steps are, moles of (NH2)2CO, grams of CO2, So that,, mass of CO2 reacted, = 18.71 mol (NH2)2 CO, , 2.7.2 Mole fraction, It is the ratio of number of moles of a, particular component of a solution to the total, number of moles of the solution. If a substance, ‘A’ dissolves in substance ‘B’ and their number, of moles are nA and nB , repsectively, then the, mole fraction of A and B are given as :, No. of moles of A, Mole fraction of A=, No. of moles of solution, , moles of CO2, , 1 mol CO2, 44.01 g CO2, × 1 mol (NH ) CO ×, 1 mol CO2, 2 2, = 823.4 g, The amount of CO2 remaining (in excess), is the difference between the initial amount, (1142 g) and the amount reacted (823.4 g):, mass of CO2 remaining = 1142 g - 823.4 g, = 318.6 g ≈ 319 g, , ∴ Mole fraction of A =, Mole fraction of B =, , nA + nB, , No. of moles of B, No. of moles of solution, , nB, , =, nA + nB, 2.7.3 Molarity, It is the most wideley used unit and is, denoted by M. It is defined as the number of, moles of the solute present in 1 litre of the, solution . Thus,, No. of moles of solute, Molarity (M) =, Volume of solution in litres, , 2.7 Concentration of solution : A majority, of reactions in the laboratory are carried, out in solutions. Therefore, it is important to, understand how the amount of substance is, expressed when it is present in the form of, a solution. The concerntration of a solution, or the amount of substance present in given, volume of a solution can be expressed in any, of the following ways :, 1. Mass percent or weight percent (w/w %), 2. Mole fraction, 3. Molarity (M), 4. Molality (m), 2.7.1 Mass percent : It is obtained by using, following relation:, Mass percent =, , nA, , Problem 2.17 : Calculate the molarity of, NaOH in the solution prepared by dissolving, its 4 g in enough water to form 250 mL of, the solution., Solution :, Since molarity (M) =, No. of moles of solute, Volume of solution in litres, , Mass of solute, × 100 %, Mass of solution, , ∴M=, , Problem 2.16 : A solution is prepared by, adding 2 g of a substance A to 18 g of water., Calculate the mass percent of the solute., , Mass of NaOH / Molar mass of NaOH, 0.250 L, , Solution : Mass percent of, Mass of A, × 100, A=, Mass of solution, 2g, =, × 100, 2 g of A + 18 g of water, , ∴M, , =, , ∴M, , =, , 4 g / 40 g, 0.250 L, 0.1 mol, , 0.250 L, ∴M, = 0.4 mol L-1 = 0.4 M, Note that molarity of a solution depends, upon temperature because volume of a, solution is temperature dependent., , 2g, = 20 g × 100 = 10 %, , 21

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2.7.4 Molality, It is defined as the number of moles of, solute present in 1 kg of solvent. It is denoted, by m., No. of moles of solute, Molality (m) =, Mass of solvent in kg, , points. In the above example it happens to be, straight line and the inference is that V ∝ T., , (a), , Note that molality of a solution does, not change with temperature since mass, remains unaffected with temperature. Often, in chemistry laboratory, a solution of desired, concentration is prepared by diluting a solution, of known higher concentration. The solution, of higher concentration is also known as stock, solution., , (b), , Problem 2.18 : The density of 3M solution, of NaCl is 1.25 g mL-1 Calculate molality, of the solution., Solution : Molarity = 3 mol L-1, Mass of NaCl in 1 L solution = 3 × 58.5, ∴, = 175.5 g, Mass of 1L solution = 1000 × 1.25 = 1250 g, ∴, ( density = 1.25 g mL-1), Mass of water in solution = 1250 - 175.5, ∴, = 1074.5 g, , (c), , (d), , No. of moles of solute, Molality =, Mass of solvent in kg, 3 mol, =, = 2.79 m, 1.0745 kg, , Fig. 2.2 : Drawing an average curve through, the points on graph, , 2.8 Use of graph in analysis : Analytical, chemistry also involves deducing some, relation, if any, between two or more properties, of matter under study. One of the classic, example in the relation between temperature, and volume of a given amount of gas. A set, of experimentally measured values of volume, and temperature of a definite mass of a gas, upon plotting on a graph paper appeared as in, the figure (Fig. 2.2 (a)). When the points are, directly connected, a zig zag pattern results, (Fig. 2.2 (b)). From this pattern no meaningful, result can be deduced. A zig zag pattern results, due to many types of errors that incur in many, measurements involved an experiment. Figure, 2.2 (c) shows a smooth curve which may be, called an average curve passing through these, , While fitting it to a smooth curve, care, is taken that the plotted points are evenly, distributed about it. Mathematically ‘even, distribution’ is understood as follows :, From each point draw a perpendicular, to the curve. The perpendicular represents, deviation of each point from the curve (Fig, 2.2 (d)). The positive deviations are shown, in red and negative deviations are shown in, blue. Take sum of all the red perpendiculars, and all the blue perpendiculars separately. If, the two sums are equal (or nearly equal) the, curve drawn shows the experimental points in, the best possible representation., , 22

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Exercises, 1. Choose correct option, A. The branch of chemistry which deals, with study of separation, identification,, and quantitaive determination of the, composition of different substances is, called as ............., a. Physical chemistry, b. Inorganic chemistry, c. Organic chemistry, d. Analytical chemistry, B. Which one of the following property of, matter is Not quantitative in nature ?, a. Mass , b. Length, c. Colour, d. Volume, C. SI unit of mass is ........, a. kg , b. mol, c. pound, d. m3, D. The number of significant figures in, 1.50 × 104 g is ..........., a. 2 , b. 3, c. 4 , d. 6, E. In Avogadro’s constant 6.022 × 1023, mol-1, the number of significant figures, is .........., a. 3 , b. 4, c. 5 , d. 6, F. By decomposition of 25 g of CaCO3,, the amount of CaO produced will be, ............, a. 2.8 g , b. 8.4 g, c. 14.0 g, d. 28.0 g, G. How many grams of water will be, produced by complete combustion of 12, g of methane gas, a. 16 b. 27 c. 36 , d. 56, H. Two elements A (At. mass 75) and B (At., mass 16) combine to give a compound, having 75.8 % of A. The formula of the, compound is, a. AB , b. A2B, c. AB2, d. A2B3, , I. The hydrocarbon contains 79.87 %, carbon and 20.13 % of hydrogen. What, is its empirical formula ?, a. CH , b. CH2, c. CH3 , d. C2H5, J. How many grams of oxygen will be, required to react completely with 27 g, of Al? (Atomic mass : Al = 27, O = 16), a. 8 , b. 16, c. 24 , d. 32, K. In CuSO4.5H2O the percentage of water, is ......, (Cu = 63.5, S = 32, O = 16, H = 1), a. 10 % , b. 36 %, c. 60 % , d. 72 %, L. When two properties of a system are, mathematically related to each other,, the relation can be deduced by, a. Working out mean deviation , b. Plotting a graph, c. Calculating relative error , d. all the above three, 2. Answer the following questions, A. Define : Least count, B. What do you mean by significant, figures? State the rules for deciding, significant figures., C. Distinguish between accuracy and, precision., D. Explain, the, terms, percentage, composition, empirical formula and, molecular formula., E. What is a limiting reagent ? Explain., F. What do you mean by SI units ? What is, the SI unit of mass ?, G. Explain the following terms, (a) Mole fraction, (b) Molarity, (c) Molality, H. Define : Stoichiometry, I. Why there is a need of rounding off, figures during calculation ?, J. Why does molarity of a solution depend, upon temperature ?, , 23

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M. Define Analytical chemistry. Why, is accurate measurement crucial in, science?, 3. Solve the following questions, A. How many significant figures are in, each of the following quantities ?, a. 45.26 ft, b. 0.109 in, c. 0.00025 kg, d. 2.3659 × 10-8 cm, 3, e. 52.0 cm, f. 0.00020 kg, 4, g. 8.50 × 10 mm h. 300.0 cg, B. Round off each of the following, quantities to two significant figures :, a. 25.55 mL, b. 0.00254 m, 5, c. 1.491 × 10 mg, d. 199 g, C. Round off each of the following, quantities to three significant figures :, a. 1.43 cm3, b. 458 × 102 cm, c. 643 cm2, d. 0.039 m, -3, e. 6.398 × 10 km, f. 0.0179 g, g. 79,000 m, h. 42,150, i. 649.85; , j. 23,642,000 mm, k. 0.0041962 kg, D. Express the following sum to appropriate, number of significant figures :, a. 2.3 × 103 mL + 4.22 × 104 mL + 9.04 ×, 103 mL + 8.71 × 105 mL;, b. 319.5 g - 20460 g - 0.0639 g - 45.642 g, - 4.173 g, , b. Sodium carbonate, decahydrate, (Na2CO3.10H2O), (Ans.: 286 g/mol), c. Mohr’s salt [FeSO4(NH4)2SO4.6H2O], (Ans.: 392 g/mol), (At. mass : Cu = 63.5; S = 32; O = 16;, H = 1; Na = 23; C = 12; Fe = 56; N = 14), E. Work out the percentage composition of, constituents elements in the following, compounds :, a. Lead phosphate [Pb3(PO4)2],, b. Potassium dichromate (K2Cr2O7),, c. Macrocosmic, salt, Sodium, ammonium hydrogen phosphate,, tetrahydrate (NaNH4HPO4.4H2O), (At. mass : Pb = 207; P = 31; O = 16;, K = 39; Cr = 52; Na = 23; N = 14), F. Find the percentage composition, of constituent green vitriol crystals, (FeSO4.7H2O). Also find out the mass, of iron and the water of crystallisation, in 4.54 kg of the crystals. (At. mass : Fe, = 56; S = 32; O = 16), (Ans.: mass of Fe = 0.915 kg,, mass of 7H2O = 2.058 kg), G. The red colour of blood is due to a, compound called “haemoglobin”. It, contains 0.335 % of iron. Four atoms, of iron are present in one molecule of, haemoglobin. What is its molecular, weight ?, (At. mass : Fe 55.84), (Ans.: 66674.6 g/mol), H. A, substance, on analysis, gave, the following percent composition:, Na = 43.4 %, C = 11.3 % and, O = 45.3 %. Calculate the empirical, formula. (At. mass Na = 23 u, C = 12, u, O = 16 u)., (Ans.: Na2CO3), I. Assuming the atomic weight of a metal, M to be 56, find the empirical formula, of its oxide containing 70.0% of M., (Ans.: M2O3), J. 1.00 g of a hydrated salt contains, 0.2014 g of iron, 0.1153 g of, sulfur, 0.2301 g of oxygen and, , 4. Solve the following problems, A. Express the following quantities in, exponential terms., a. 0.0003498, b. 235.4678, c. 70000.0 , d. 1569.00, B. Give the number of significant figures, in each of the following, a. 1.230 × 104 b. 0.002030, c. 1.23 × 104, d. 1.89 × 10-4, C. Express the quantities in above (B) with, or without exponents as the case may, be., D. Find out the molar masses of the, following compounds :, a. Copper sulphate crystal (CuSO4.5H2O), (Ans.: 249.5 g/mol), , 24

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0.4532 g of water of crystallisation., Find the empirical formula. (At. wt. : Fe, = 56; S = 32; O = 16), (Ans.: FeSO4), K. An organic compound containing, oxygen, carbon, hydrogen and nitrogen, contains 20 % carbon, 6.7 % hydrogen, and 46.67 % nitrogen. Its molecular, mass was found to be 60. Find the, molecular formula of the compound., (Ans.: CH4N2O), L. A compound on analysis gave the, following percentage composition by, mass : H = 9.09; O = 36.36; C = 54.55., Mol mass of compound is 88. Find its, molecular formula., M. Carbohydrates, are, compounds, containing only carbon, hydrogen and, oxygen. When heated in the absence, of air, these compounds decompose to, form carbon and water. If 310 g of a, carbohydrate leave a residue of 124 g, of carbon on heating in absence of air,, what is the empirical formula of the, carbohydrate ?, (Ans.: CH2O), N. Write each of the following in, exponential notation :, a. 3,672,199, b. 0.000098, c. 0.00461, d. 198.75, O. Write each of the following numbers in, ordinary decimal form :, a. 3.49 × 10-11, b. 3.75 × 10-1, c. 5.16 × 104, d. 43.71 × 10-4, -3, e. 0.011 × 10, f. 14.3 × 10-2, g. 0.00477 × 105 h. 5.00858585, P. Perform each of the following, calculations. Round off your answers to, two digits., 1, 33, a., ;, b., ;, 3.40 × 1024, 9.00 × 10-4, c., , d., , (4 × 10-3) (9.9 × 10-7), (789) (1.002 × 10-10) (0.3 × 102), , Q. Perform each of the following, calculations. Round off your answers to, three digits., a. (3.26 104) (1.54 106), b. (8.39 107) (4.53 109), c., , d., , 8.94 × 106, 4.35 × 104, (9.28 × 109) (9.9 × 10-7), (511) (2.98× 10-6), , R. Perform the following operations :, a. 3.971 × 107 + 1.98 × 104;, b. 1.05 × 10-4 - 9.7 × 10-5;, c. 4.11 × 10-3 + 8.1 10-4;, d. 2.12 × 106 - 3.5 × 105., S. A 1.000 mL sample of acetone, a, common solvent used as a paint, remover, was placed in a small bottle, whose mass was known to be 38.0015, g. The following values were obtained, when the acetone - filled bottle was, weighed : 38.7798 g, 38.7795 g and, 38.7801 g. How would you characterise, the precision and accuracy of these, measurements if the actual mass of the, acetone was 0.7791 g ?, (Ans.: ±0.07736% 0.1027%), T. Your laboratory partner was given, the task of measuring the length of, a box (approx 5 in) as accurately as, possible, using a metre stick graduated, in milimeters. He supplied you with the, following measurements:, 12.65 cm, 12.6 cm, 12.65 cm, 12.655 cm,, 126.55 mm, 12 cm., a. State which of the measurements you, would accept, giving the reason., (Ans.: 12.6 cm), b. Give your reason for rejecting each of, the others., , 1.4 × 109, ;, (2.77 × 103) (3.76 × 105), , 25

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U. What weight of calcium oxide will be, formed on heating 19.3 g of calcium, carbonate ?, (At. wt. : Ca = 40; C = 12; O = 16), , (Ans. : 10.8 g), , V. The hourly energy requirements of an, astronaut can be satisfied by the energy, released when 34 grams of sucrose are, “burnt” in his body. How many grams, of oxygen would be needed to be carried, in space capsule to meet his requirement, for one day ?, (Ans. : 916.21 g), , Activity :, Collect information about various apparatus/instruments used in chemistry laboratory, and make presentation of it in science exhibition., , Internet my friend, 1.Error in chemical analysis, https://chem.libretexts.org>...>chapters, 2. Collect information about Analytical chemistry., , 26

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3. Some Analytical Techniques, 3.1 Introduction, There has been a systematic development, in the techniques used for analysis of chemical, substances. In this chapter we are going to, look into basic analytical techniques, namely,, purification and separation techniques., Chemical substances occur in nature in impure, stage. Also, when synthesized in the laboratory, they are obtained in crude and impure form., Before investigating their composition and, properties it is essential to obtain them in, the pure form. Methods of purification and, separation of compounds depend on the, difference in their physical properties., 3.2 Purification of solids, A solid substance may contain two types of, impurities, those (i) which are soluble in the, same solvent as the main substance and (ii), which are not soluble in the same solvent as, the substance. The second type of impurity, can be separated easily using a suitable, solvent to dissolve the main compound when, the impurities remain undissolved and can be, separated by a simple process called filtration., This process is similar to separating tea leaves, from a decoction of tea, or sand from mixture, of sand and water. Filtration is carried out with, the help of a filter paper cone placed in a funnel, as shown in the Fig. 3.1. A circular piece of, filter paper is folded to form a cone and fitted, in the funnel. The funnel is fixed on a stand, and a beaker kept below it. The paper is made, moist, the solution to be filtered is poured on, the filter paper., Mixture of, water and, sand, , Filter, paper, , Filter, funnel, , The insoluble part remaining on the filter paper, is called residue and the liquid collected in the, beaker is called filtrate., Filtration under suction : When filtration is, carried out using a vacuum pump it is called, filtration under suction. It is a faster and more, efficient technique than simple filtration., The assembly for filtration under suction, consists of a thick wall conical flask with a, side arm. The flask is connected to a safety, bottle by rubber tube through the side arm. The, safety bottle is used to prevent sucking of the, filtrate into suction pump. A special porcelain, funnel called Buchner funnel is fitted on the, conical flask with the help of a rubber cork as, shown in Fig. 3.2., The Buchner funnel has a porous circular, bottom. A circular filter paper of correct size, is placed on the circular porous bottom of the, Buchner funnel and the funnel is placed on the, flask. It is moistened with a few drops of water, or solvent. Suction is created by starting the, pump and filtration is carried out. Crystals are, collected on the filter paper and filtrate in the, flask., , Residue, , Filtrate, , Fig. 3.1 : Separation of mixture of water and, sand by simple filtration, , Fig. 3.2 : Setup for filtration under suction, , 27

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Choice of the solvent : The solvent to be, used for crystallization must have following, properties :, 1. The compound to be crystallized should, be least or sparingly soluble in the solvent, at room temperature but highly soluble at, high temperature., 2. Solvent should not react chemically with, the compound to be purified., 3. Solvent should be volatile so that it can be, removed easily., Water, ethyl alcohol, methyl alcohol, acetone,, ether or their combinations are generally used, as solvent for crystallization. The choice is, done by trial and error method., Activity : Crystallization of common salt from, impure sample., Many times the common salt obtained from the, market may contain some siliceous matter and, other impurities. These can be removed and, larger crystals of pure NaCl can be obtained., Apparatus : Beaker, glass rod, funnel, filter, paper and stand, evaporating dish, etc., Materials : Impure market salt or a mixture of, salt and fine sand, etc., Procedure : Arrange apparatus as shown in, Fig. 3.3. Take some water in a beaker. Add salt, to the beaker and stir it with a glass rod. Add, more salt and stir till no more salt dissolves., Heat the solution. Filter the hot solution,, insoluble impurities will remain on the filter, paper. Collect the filtrate in an evaporating, dish and allow to cool. Crystals of pure salt, NaCl will separate leaving soluble impurities, in the mother liquor. Filter the solution and, collect the crystals on the filter paper and dry, them., , 3.2.1 Crystallization : When a crude solid is, made of mainly one substance and has some, impurities, it is purified by the process of, crystallization. It is done in four steps:, (i) Prepartion of saturated solution : A, saturated solution is a solution which cannot, dissolve addtional quantity of solute. A, saturated solution of the crude solid is prepared, by boiling it in a small but sufficient quantity, of a suitable solvent. On doing so the main, solute forms an almost saturated solution,, but the solution is not saturated with respect, to the soluble impurties, as they are in small, proportion., (ii) Hot filtration : The above solution is, quickly filtered while hot. Filtration under, suction allows rapaid filtration. Undissolved, impurities get removed in this process as, residue., (iii) Cooling of the filtrate : The hot filtrate, is allowed to cool. Solubility of a substance, decreases with lowering of temperature. As a, result, the filtrate becomes supersaturated with, respect to the main dissolved solute. The excess, quantity of the dissolved solute comes out of the, solution in the form of crystals. The dissolved, impurities, however, do not supersaturate, the solution, as their quantity is small. These, continue to stay in the solution in dissolved, state even on cooling. The separated crystals, are, therefore, free from soluble impurities as, well., (iv) Filtration : The crytals of the pure, substance are separated by filtration. The, filtrate obtained is called mother liquor. The, crystals so formed are free from soluble as well, as insoluble impurities., , Filter paper, , Fig. 3.3 : Process of crystallization, , 28

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3.3.1 Simple distillation :, Liquids which boil without decomposition, at atmospheric pressure are purified by the, process of simple distillation. In this process, the liquid is first converted into its vapour by, boiling and then the vapour is condensed back, into liquid by cooling, and the pure liquid, trickles down in the reciever., The apparatus used for simple distillation, is shown in Fig. 3.4. It consists of round bottom, flask fitted with a cork having a thermometer., The flask has a side arm through which it is, connected to a condenser. The condenser has, a jacket with two outlets through which water, is circulated. The liquid to be distilled is taken, in the round bottom flask fixed by clamp. The, flask is placed in a water bath or oil bath or, sometimes wire gauze is kept on a stand as, shown in Fig 3.4., The condenser is connected to receiver to, collect the purified liquid. Care is taken that, the bulb of the thermometer is just below the, side arm of the round bottom flask., The flask is heated. As the boiling point, of the liquid is reached it starts boiling and, the vapors rise to the neck of the flask and, pass through the side arm into the cooler, parts of the condenser, which is kept cool, by circulating water through its jacket. The, vapours condense and the liquid is collected, in the receiver., Activity : To separate the components of a, liquid mixture containing acetone (b. p. 560C), and water (b. p. 100 0C), Apparatus : Distillation flask with condenser,, two receivers, thermometer, etc., Chemicals : mixture of acetone and water., Principle : Acetone and water are two, miscible liquids having a wide difference, in their boiling points. Acetone boils at 56 0, C while boiling point of water is 100 0C., When the mixture of acetone and water is, heated and temperature of the mixture reaches, 56 0C acetone would distil off. When all, acetone distils out and when the temperature, rises to 100 0C water would to distil out., , Impure copper sulphate can be purified, by crystallization using water as solvent., Similarly, Benzoic acid can also be purified by, crystallization using water as solvent., 3.2.2 Fractional crystallization :, Two or more substances in a mixture, can be separated by fractional crystallisation, process. Fractional crystallisation is a process, wherein two or more soluble substances, having widely different solubilities in the same, solvent at room temperature are separated by, crystallization., Mixture of two solutes A and B are, dissolved in a suitable hot solvent to prepare, a saturated solution. The saturated solution, is filtered to remove dust particles and then, allowed to cool. As the solution cools, the, solute which is less soluble crystallizes out first., The crystals are filtered, washed with solvent, and dried. The mother liquor is concentrated, by evaporating the solvent. The second solute, crystallizes from the mother liquor. These, crystals are filtered to obtain the separated and, purified second component., 3.3 : Distillation : Distillation is an important, method used to separate. (i) Volatile liquids, from non-volatile impurities (ii) Liquids having, sufficient difference in their boiling point., , Fig. 3.4 : Simple distillation, , 29

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Procedure : Take the mixture of water and, acetone in the distillation flask and arrange, the apparatus. Heat the flask on a water bath, carefully. At 56 0C acetone will distil out,, collect it in reciever number 1. After all acetone, distilled, change the receiver. Discard a few, ml of the liquid. As the temperature reaches, 100 0C water will begin to distil. Collect this in, reciever number 2., 3.3.2 Fractional Distillation :, If in a mixture the difference in boiling, points of two liquids is not appreciable, they, cannot be separated from each other using the, simple distillation assembly., To separate such liquids, the process, called fractional distillation is employed in, which a special assembly is used (see Fig., 2.5(a)). In this assembly the distillation flask, is fitted with a fractionating column (Fig. 3.5, (b)). Hence, the vapours first pass through, the fractionating column. Vapours of more, volatile liquid with lower boiling point rise up, more than the vapours of liquid having higher, boiling point., , Suppose we have a mixture of two liquid, (A) and (B) having boiling points 363 K and, 373 K respectively. A is more volatile and B is, less volatile. As the mixture is heated, vapors, of (A) along with a little of (B) rise up and, come in contact with the large surface of the, fractionating column. Vapors of (B) condense, rapidly into the distillation flask. While, passing through the fractionating column, there is an exchange between the ascending, vapors and descending liquid. The vapors of B, are scrubbed off by the descending liquid, this, makes the vapors richer in (A). This process is, repeated each time the vapors and liquid come, in contact with the surface in the fractionating, column. Rising vapors become richer in (A), and escape through the fractionating column, and reach the condenser while the liquid in the, distillation flask is richer in B. The separated, components are further purified by repeating, the process. Mixtures of acetone (b.p. 329 K), and methyl alcohol (b.p. 337.7 K); acetone, and benzene (353 K) can be separated by, fractional distillation., , Fig. 3.5 (a) :Fractional distillation, , Fig 3.5 (b) : Fractionating Columns, , 30

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This process is used in petroleum industry, to separate different fractions of crude oil., 3.3.3 Distillation under Reduced Pressure :, Liquids having very high boiling point or, those which decompose on heating are purified, by carrying out distillation under reduced, pressure. In this method the liquid is made to, boil at a temperature which is below its normal, boiling point by reducing the pressure on, the surface of the liquid. Pressure is reduced, using a water pump or vacuum pump. In soap, industry glycerol is separated from soap by, using this technique., 3.4 Solvent Extraction : When an organic, substance is present in an aqueous solution, it, can be extracted from that solution by shaking it, with an organic solvent in which the substance, is more soluble. The organic liquid should be, immiscible with water and be able to form two, layers. In this process the solute distributes, itself between two immiscible liquids. From the, aqueous phase the solute gets extracted in the, organic phase. Extraction of compound takes, place based on the difference in solubility of, compound in two liquids (See Fig. 3.6). On, shaking for a few times with small volumes of, organic phase, most of the solute gets extracted, into the organic phase. The organic solvent is,, then, removed by distillation and the solute is, collected., The solvent extraction process is important, as it helps clean separations in a short time span., , If the solute is less soluble in organic phase, then a technique called continuous extraction, is used where the same amount of organic, solvent is used repeatedly for extraction. This, technique involves continuous distillation of, the solvent within the same assembly. Thus use, of large quantity of organic solvent is avoided., Internet my friend, Get more information about continuous, extraction/soxhlet extraction from, YouTube.Royal Scociety of chemistry, Soxhlet extraction., 3.5 Chromatographic techniques :, Chromatography is a technique used to, separate components of a mixture, and also, purify compounds. The name of the technique, comes from the Greek word Chroma meaning, Colour., In 1903, Tswett discovered this technique, for separating the coloured components, found in plants. The principle of separation, of substances in this technique is similar to, solvent extraction i. e. distribution of the, solutes in two phases. In chromatography we, use two phases for separation. (a) Stationary, phase and (b) Mobile phase. This technique, is based on the difference in rates at which, components in the mixture move through the, stationary phase under the influence of the, mobile phase. First the mixture of components, is loaded at one end of the stationary phase, and then the mobile phase, which is a pure, solvent or a mixture of solvents, is allowed to, move over the stationary phase. Depending on, the relative affinity of the components toward, the stationary phase and mobile phase they, remain on the surface of the stationary phase, or move along with the mobile phase, and, gradually get separated., The stationary phase can be a solid or, a liquid. Depending on the stationary, phase, chromatography is classified into, Adsorption Chromatography and Partition, Chromatography., , Fig. 3.6 : Solvent Extraction, , 31

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3.5.1 Adsorption Chromatography : This, type of Chromatography is based on the, principle of Differential Adsorption. Different, solutes are adsorbed to different extent on the, stationary phase. Adsorption Chromatography, is of the following two types., i. Column Chromatography : This type, involves the separation of components over, a column of stationary phase. The stationary, phase material can be Alumina, Silica gel., A slurry of the stationary phase material is, filled in a long glass tube provided with a, stopcock at the bottom and a glass wool plug, at the lower end. The mixture to be separated, is dissolved in a small amount of appropriate, solvent and is then loaded on top of the, adsorbent column. A suitable mobile phase, which could be a single solvent or a mixture, of solvents is then poured over the adsorbent, column. The mixture along with the mobile, phase slowly moves down the column. The, solutes get adsorbed on the stationary phase, and depending on the degree to which they are, adsorbed, the solutes get separated from each, other. The most strongly adsorbed component, is retained on the column and others move, down the column to various distances forming, bands as seen in Fig. 3.7. The component, which is less strongly adsorbed is desorbed, first and leaves the column first, while the, strongly adsorbed component is eluted later., , The solutions of these components are collected, separately. On evaporating the solvent the, solutes can be recovered., ii. Thin Layer Chromatography : A thin, layer (0.2 mm thick)of adsorbent silica gel or, alumina spread over a glass plate acts as the, stationary phase. The plate is called the TLC, plate or chromplate. The mixture of solutes, is applied on the Chromplate as a small spot, about 2 cm from one end of the plate as shown, in Fig. 3.8., The plate is then placed in a closed jar, containing the mobile phase such that the, spot is well above the mobile phase. As the, mobile phase rises up the components of, the mixture move along with it. They move, upto different distances depending upon their, degree of adsorption and thus get separated., If the components are colored they appear as, separated colored spots on the plate. If the, components are not colored but have property, of fluorescence they can be visualised under, UV light, or the plate can be kept in a chamber, containing a few iodine crystals. The Iodine, vapors are adsorbed by the components and, , Fig. 3.8 (a)Stages in Thin Layer, Chromatography, , FIG 3.7 Column Chromatography. Different, stages of separation., , Fig. 3.8 (b) Developed chromatogram., , 32

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the spots appear brown. Amino acids are, visualised by spraying the plate with a solution, of ninhydrin. This is known as spraying agent., 3.5.2 Partition Chromatography : In this, type of chromatography the stationary phase, and mobile phase both are liquids. Separation, of components takes place by continuous, differential partitioning of the components, between the stationary and mobile phases., For example, Paper Chromatography : In this, technique a special quality paper, Whatmann, paper number 1, is used. The water trapped in, the fibres of the paper acts as the stationary, phase. The solution of mixture is spotted on, the strip of the Chromatography paper at the, about 2 cm from one end of the paper using a, glass capillary. The paper is then suspended in, a chamber containing the mobile phase taking, care that the spot does not dip in the mobile, phase (Fig. 3.9)., The mobile phase rises up by capillary, action and flows over the spot. Partitioning of, the components takes place between stationary, phase (water) and the mobile phase., Different solutes are retained differently, on the paper depending on their selective, partitioning between the two phases. This, developed paper strip is the chromatogram., Similar to TLC (Thin layer chromatography), , the colored components are visible as colored, spots and the colourless components are, observed under UV light or using a spraying, agent., Retention factor (Rf) : Migration of the solute, relative to the solvent front gives an idea about, the relative retention of the solutes on the, stationary phase. This is termed as the Rf of, the solute., Rf =, , Distance travelled by the solute from the base line, Distance travelled by the solvent from the base line, , Fig. 3.10 : Retention factor, , Internet my friend, Column chromatography, https ://youtube/KqQITxvFDLB8, , Fig. 3.9 : Stages in Paper chromatography, , 33

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Exercises, F. What will happen if the upper outlet of, the condenser is connected to the tap, instead of the lower outlet?, G. Give names of two materials used as, stationary phase in chromatography., H. Which properties of solvents are useful, for solvent extraction?, I. Why should spotting of mixture be done, above the level of mobile phase ?, J. Define : a. Stationary phase b. Saturated, solution, K. What is the difference between simple, distillation and fractional distillation?, L. Define, a. Solvent extraction, b., Distillation., M. List the properties of solvents which, make them suitable for crystallization., N. Name the different types of, Chromatography and explain the, principles underlying them., O. Why do we see bands separating in, column chromatography?, P. How do you visualize colourless, compounds after separation in TLC and, Paper Chromatography?, Q. Compare, TLC, and, Paper, Chromatography techniques., 3. Label the diagram and explain the process, in your words., , 1. Choose the correct option, A. Which of the following methods can be, used to seperate two compounds with, different solubilities in the same solvent?, a. Fractional crystallization, b. Crystallization, c. Distillation, d. Solvent extraction, B. Which of the following techniques is, used for seperation of glycerol from soap, in soap industry ?, a. Distillation under reduced pressure, b. Fractional distillation, c. Filtration, d. Crystallization, C. Which technique is widely used in, industry to seperate components of, mixture and also to purify them ?, a. Steam distillation, b. Chromatography, c. Solvent extraction, d. Filtration, D. A mixture of acetone and benzene can be, seperated by the following method :, a. Simple distillation, b. Fractional distillation, c. Distillation under reduced pressure, d. Sublimation, E. Colourless components on chromatogram, can not be observed by the following :, a. Using UV light, b. Using iodine chamber, c. Using the spraying reagent, d. Using infrared light, 2. Answer the following, A. Which of the following techniques is, used for purification of solid organic, compounds?, a. Crystallisation b. Distillation, B. What do you understand by the terms, a. residue b. filtrate., C. Why is a condenser used in distillation, process?, D. Why is paper moistened before, filtration?, E. What is the stationary phase in Paper, Chromatography?, , Activity :, Use any one analytical technique in, labroratory and discuss it in groups., , 34

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4. Structure of Atom, 4.1 Subatomic particles : Dalton’s atomic, theory was able to explain the laws of, chemical combination successfully. However,, it failed to explain some properties of matter., For example, it could not explain why, substances like glass or ebonite when rubbed, with silk or fur, generate electricity. Discovery, of subatomic particles in late nineteenth and, early twentieth century set a blow to Dalton’s, atomic model of hard sphere. Three important, subatomic particles, namely, proton, electron, and neutron which are of concern to Chemistry, were discovered. Proton and neutron are, present in the atomic nucleus and together are, called nucleons. Electrons are present in the, extranuclear part of an atom.The properties of, electron, proton and neutron are summarised, in Table 4.1, , Can you recall?, • What is the smallest unit of matter ?, • What is the difference between, molecules of an element and those of, a compound ?, • Does an atom have any internal, structure or is it indivisible ?, • Which particle was identified by, J. J. Thomson in the cathode ray tube, experiment ?, • Which part of an atom was discovered, by Ernest Rutherford from the, experiment of scattering of α-particles, by gold foil ?, , Table 4.1 : Properties of subatomic particles, Name, , Symbol, , Absolute, charge/C, , Symbol, for, charge, , Relative, charge, , Mass/kg, , Mass/u, , Approxinate, mass/u, , Electron, , e-, , -1.6022×10-19, , -1, , -e, , 9.10938×10-31, , 0.00054, , 0u, , Proton, , p, , +1.6022×10-19, , +1, , +e, , 1.6726×10-27, , 1.00727, , 1u, , Neutron, , n, , 0, , 0, , 1.67493×10-27, , 1.00867, , 1u, , 4.1.1 Discovery of electron : In the year 1897,, J. J. Thomson investigated the cathode rays, and found that the cathode rays are a stream, of very small, negatively charged particles, which are 1837 times lighter than a hydrogen, atom and are present in all atoms. Later these, particles were named as electrons., , 4.1.2 Discovery of proton : In the year 1911,, Ernest Rutherford found in the experiment of, scattering of α-particles by thin gold foil (see, Fig. 4.2) that a few α-particles bounce back., From this he inferred the presence of massive, and positively charged nucleus inside the atom., Following the discovery of nucleus in an atom,, Rutherford found (1919) that fast moving αparticles transmuted nitrogen into oxygen with, simultaneous liberation of hydrogen., 14, 7, , 4, , 17, , 1, , N + 2α, 8 O + 1H, He further showed that other elements, could also be transmuted, but hydrogen was, always emitted., Fig. 4.1 : Cothode ray tube experiment, , 35

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Atomic number (Z) = Number of protons, = Number of electrons, As can be seen from Table 4.1, mass of an, electron is negligibly small compared to that of, the nucleons. As a result the mass of an atom, can be considered to be concentrated in its, nucleus. The approximate mass of one proton, or one neutron is 1u. Therefore approximate, atomic mass in daltons is numerically equal to, the number of nucleons in the atom. The number, of neutrons in the nucleus is designated by the, symbol N; and the total number of protons and, neutrons, that is nucleons, in an atom is called, its atomic mass number (A)., Mass number (A) = Proton number (Z) , + Neutron Number (N), Therefore A = Z + N, N = A - Z, The composition of any atom is represented, by element symbol (X) with the atomic mass, number (A) as superscript on left and atomic, number (Z) as subscript on left :, , On this basis Rutherford proposed that, the hydrogen nucleus must be contained inside, nuclei of all the elements. Hence, the hydrogen, nucleus was renamed as proton., , Fig. 4.2 : Rutherford’s scattering experiment, , 4.1.3 Discovery of neutron : Existence of an, electrically neutral and massive particle in the, nucleus was predicted by Ernest Rutherford, in 1920 to account for the disparity in atomic, number and atomic mass of an element. In, the year 1932, James Chadwick measured, velocity of protons knocked out from paraffin, by an unidentified radiation from beryllium, (see Fig. 4.3). From that he determined the, mass of the particles of the unidentified neutral, radiation which came out to be almost the same, as that of a proton. He named this particle as, ‘neutron’ which was predicted by Rutherford, earlier., , A, Z, , X, , The atom or nucleus having a unique, A, composition as specified by Z X is called a, nuclide., Problem 4.1: Find out the number of, protons, electrons and neutrons in the, nuclide 40, 18 Ar, Solution : In case of the nuclide, 40, 18 Ar ,, A = 40 and Z = 18, Number of protons = number of, electrons = Z = 18 and number of, neutrons N = A - Z, , = 40 - 18 = 22, , Fig. 4.3 : Discovery of neutron, , 4.2 Atomic number and atomic mass number, The number of protons in the nucleus is, chemical identity of an element. This number, is called atomic number (Z) of the element, The positive charge on the nucleus is due to, the protons present in it (+Ze). Atom being, electrically neutral, it contains the same, number of extranuclear electrons in it as its, atomic number. Therefore the total electronic, charge on an atom is -Ze. Thus in any atom,, , 4.3 Isotopes, isobars and isotones :, Similarities in composition of nuclides results, in three types of relationships., i. Isotopes : Some elements exist as single, natural nuclide. For example 199 F ., However, many elements exist naturally, as mixture of two or more types of atoms or, nuclides. These individual nuclides are called, isotopes of that element., , 36

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All the isotopes of an element have, the same number of protons but different, number of neutrons in their nuclei. As the, proton number is the atomic number, all the, isotopes of an element have the same position, in the modern periodic table and exhibit similar, chemical properties. All the natural isotopes of, an element coexist and have a definite natural, abundance. Table 4.2 shows various features, of the three common isotopes of carbon., ii. Isobars : The atoms of different elements, having the same mass number but different, atomic numbers are called isobars. Isobars, are different elements. They have different, chemical properties and occupy different, positions in modern periodic table. Table 4.3, shows an illustration of isobars., , Problem 4.2 : The two natural isotopes, of chlorine, viz. 3517Cl and 3717Cl exist in, relative abundance of 3:1. Find out the, average atomic mass of chlorine., Solution: From the relative abundance, 3:1, it is understood that out of 4, chlorine atoms, 3 atoms have mass 35, and 1 has mass 37., Therefore, the average atomic mass of, chlorine, =, , 3×35 + 1×37, 4, , Table 4.2 : Isotopes of carbon, Neutron, Atomic number Atomic mass, number, Z, number A, N=A-Z, 6, 12, 6, , Symbol, , C or C-12, , 12, 6, , = 35.5, , %, Abundance, , Stability, , 98.9 %, , Stable, , C or C-13, , 6, , 13, , 7, , 1.1 %, , Stable, , C or C-14, , 6, , 14, , 8, , < 0.00017 %, , Radioactive, , 13, 6, 14, 6, , Table 4.3 : Isobars, Isobars Atomic number Z Mass number A Number of protons Z Number of neutrons N, 14, 6, , C, , 6, , 14, , 6, , 8, , 14, 7, , N, , 7, , 14, , 7, , 7, , Problem 4.3 : Three elements Q, R and T have mass number 40. Their atoms, contain 22, 21 and 20 neutrons, respectively. Represent their atomic composition with, appropriate symbol., Solution : A = Z + N, ∴ Z = A - N, For the given three elements A = 40. Values of their atomic numbers Z, are obtained, from the given values of neutron numbers, N, using the above expression., for Q : Z = A - N = 40 - 22 = 18, for R : Z = A - N = 40 - 21 = 19, for T : Z = A - N = 40 - 20 = 20, ∴ The atomic composition of the three elements is written as follows :, 40, , 40, , 40, , 18 Q , 19 R , 20T, , 37

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iii. Isotones : The atoms of different elements, having same number of neutrons in their, nuclei are called isotones. Table 4.4 shows, examples of isotones., , ii. The second serious drawback of the, Rutherford model is that it does not describe, the distribution of electrons around the, nucleus and their energies. The drawbacks, of the Rutherford model were overcome in the, Bohr atomic model., 4.5 Developments leading to the Bohr’s, atomic model : At the time when different, models of atomic structure were being put, forth, some results obtained from the studies, of interactions of radiation with matter, required to be correlated to atomic structure., Niels Bohr utilized these results to get over, the drawbacks of Rutherford atomic model., These results were : (1) wave particle duality, of electromagnatic radiation and (2) line, emission spectra of hydrogen., 4.5.1 Wave, particle duality of, electromagnetic radiation : A dilemma was, posed by electromagnetic radiation in the world, of science. Phenomena such as diffraction, and interference of light could be explained, by treating light as electromagnetic wave. On, the other hand, the black-body radiation or, photoelectric effect could not be explained by, wave nature of light, and could be accounted, for by considering particle nature of light., The only way to resolve the dilemma was to, accept that light has dual behaviour. When, light interacts with matter it behaves as a, stream of particles called photons, when light, propagates, it behaves as an electromagnetic, wave., , Table 4.4 : Isotones, Isotones, , Atomic, number Z, , Number, Mass, of, number A Neutrons, N=A-Z, , 11, 5, , 5, , 11, , 6, , 12, 6, , 6, , 12, , 6, , B, C, , We will consider some more aspects of, nuclides in the Chapter 13., 4.4 Drawbacks of Rutherford atomic model, i. Let us now go back to the point of time when, Rutherford put forth his nuclear model of atom., It is akin to a miniature of the solar system,, the nucleus playing the role of the massive sun, and the electrons are lighter planets. Electrons, in this model could not be stationary as the, electrostatic force of attraction exerted would, pull them towards itself, and this would form a, miniature version of Thomson’s atomic model., However, the electrons revolving about the, nucleus, as described by Rutherford, also pose, a problem. Electrons in the Rutherford model, are negatively charged particles in orbital, motion. Such orbital motion is an acceleraled, motion accompanied by a continuous change, in the velocity of electron as noticed from the, continuously changing direction. According, to the electromagnetic theory of Maxwell,, accelerated charged particles would emit, electromagnetic radiation. An electron in an, orbit would emit radiation, equivalent energy, possessed by the radiation associated with the, electronic motion. The orbit would, therefore,, shrink continuously. Thus, an electron, orbiting about the nucleus would follow a, spiral path to the nucleus. It can be seen that, the Rutherford atomic model has an intrinsic, instability of atom. However, real atoms are, stable., , crest, , Direction of propagation, , Amplitude, , wavelength λ, , trough, , Fig 4.4 : Electromagnetic wave, , 38

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a. Characteristics of electromagnetic wave, Figure 4.4 shows a schematic, representation of an electromagnetic wave., Various parameters used to describe the, different types of electromagnetic radiation, are wavelength, frequency, wavenumber,, amplitude, and velocity., i. Wavelength (λ) : The distance between, two consecutive crests or troughs is called, wavelength. It is represented by the symbol λ, which is a greek letter (lambda). The SI unit, for wavelngth is metre (m)., ii. Frequency (ν) : The number of waves that, pass a given point in one second is called, frequency. It is represented by the greek letter, nu, (ν). The SI unit of frequency is Hertz (Hz, or s-1)., , Different regions of electromagnetic, radiation have different values of frequency or, wavelengths. Thus the radiofrequency region, is around 106 Hz, microwave region is around, 1010 Hz, infrared region is around 1013 Hz,, ultraviolet region is around 1016 Hz., In vacuum, the speed of all the types of, electromagnetic radiation is the same, which, is 3.0 × 108 m s-1 (2.997925 × 108 m s-1 to be, accurate). This is called speed of light, and is, denoted by the symbol ‘c’., The parameters wavelength ( λ ),, frequency (ν ) and the speed of light (c) are, related by the expression : c = ν λ, b. Particle nature of electromagnetic, radiation : In the year 1900, Max Plank put, forth his quantum theory to explain black- body, radiation. According to this theory, the energy, of electromagnetic radiation depends upon the, frequency and not the amplitude. Plank gave, the name ‘quantum’ to the smallest quantity, of energy that can be emitted or absorbed in the, form of electromagnetic radiation. The energy, (E) of one quantum of radiation is proportional, to its frequency (ν) and given by, , E = hν, (4.1), The proportionality constant ‘h’ is called, Plank’s Constant. Later its value was found, out to be 6.626 × 10-34 J s., In the year 1905, Albert Einstein, explained the photoelectric effect using, Plank’s quantum theory. In doing so he, considered electromagnetic radiation as a, stream of photons of energy hν . A photon, has zero rest mass., 4.5.2 Line emission spectrum of hydrogen :, When a substance is irradiated with light, it absorbs energy. Atoms, molecules or ions,, which have absorbed radiation are said to be, ‘excited’. Heating can also result in an excited, state. When an excited species gives away the, absorbed energy in the form of radiation, the, process is called emission of radiation. The, recorded spectrum of this emitted radiation is, called ‘emission spectrum’., , iii. Wavenumber (ν) : Wavenumber is, the number of wavelengths per unit length., Wavenumber is represented by the symbol, (nu bar) (ν) . The commonly used unit for, wavenumber is reciprocal centimeter (cm-1),, while the SI unit is m-1. Wavenumber is related, to the wavelength by an expression ν =, , 1, , λ, , iv. Amplitude (A): Amplitude of a wave is, the height of the crest. Square of the amplitude, denotes the intensity of the radiation., Problem 4.4 : Visible light has, wavelengths ranging from 400 nm, (violet) to 750 nm (red). Express these, wavelengths in terms of frequency, (Hz)., (1 nm = 10-9 m), c, λ, Solution :, c = ν, ∴ ν =, , λ, , ∴ frequency of violet light =, , 3  108 m s 1, = 7.50 × 1014 Hz, 400  109 m, and frequency of red light, =, 3×108 m s-1, 750 × 10-9 m = 4.00 × 1014 Hz, , 39

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Problem 4.5 : Parameters of blue and, red light are 400 nm and 750 nm, respectively. Which of the two is of, higher energy ?, Solution : 400 nm and 750 nm are, the wave lengths of blue and red, light, respectively. Energy of radiation, is given by the expression E = hν, and ν , the frequency, of radiation, is related to the wavelength by the, expression., c, , ν =, , In the year 1885 Balmer expressed the, wavenumbers of the emission lines in the, visible region of electromagnetic radiation by, the formula, , Therefore, shorter the wavelength,, λ , larger the frequency, ν, and higher, the energy, E. Thus, blue light which, has shorter λ (400 nm) than red light, (750 nm) has higher energy., , where n1 = 1,2,3 ....................., n2 = [n1+1], [n1+2], [n1+3],........., , ν = 109677, , [, , Fluorescent tube, sodium vapor lamp,, neon sign, halogen lamp are all examples of, atomic emission., When electric discharge is passed, through gaseous hydrogen, it emits radiation., Hydrogen emission spectrum was studied by, five scientists in late nineteenth century. They, recorded the hydrogen emission spectra in, different regions of electromagnetic radiation., The spectra were not continuous and comprised, of a series of lines corressponding to different, frequencies (see Fig. 4.5), , 2.0, , Paschen series Balmer series, (partly visible), (infra red), , 2.5, , 3.0, , -1, ,, , (4.2), , [, , 4.6 Bohr’s model for hydrogen atom : Niels, Bohr (1913) put forth his postulates about the, atomic model for hydrogen. While doing so he, used the quantum theory, wave particle duality, of electromagnetic radiation and the emission, line spectra of hydrogen., 4.6.1 Postulates of Bohr atomic theory, Bohr’s model of hydrogen atom is based, on the following postulates., 1. The electron in the hydrogen atom can move, around the nucleus in one of the many possible, circular paths of fixed radius and energy., These paths are called orbits, stationary states, or allowed energy states. These orbits are, arranged concentrically around the nucleus in, an increasing order of energy., , Lines get closer and closer together, and eventually reach the series limit, , 1.5, , [ cm, , Table 4.5 : Series of emission spectral lines for, hydrogen, Spectral, Series, n1, n2, region, Lyman, 1, 2,3,....., Ultraviolet, Balmer, 2, 3,4,....., Visible, Paschen, 3, 4,5,....., Infrared, Bracket, 4, 5,6,....., Infrared, Pfund, 5, 6,7,....., Infrared, , Do you know ?, , 1.0, , 1, n2, , The value 109,677 cm-1 is called Rydberg, constant for hydrogen ‘RH’. Table 4.5 shows, the distinctive features of these five series., , Of all the elements, hydrogen has the, simplest emission spectrum., , 0.5, , 2, , where n = 3,4,5......., The lines described by this formula are, called Balmer series. J. Rydberg found that all, the five series of lines could be described by, the following general expression., 1 1, ν =109677, cm-1 ,, (4.3), n12 n22, , λ, , 0, , [ 12, , 3.5, , Lyman series, (ultra-violet), , Fig. 4.5 : Emission line spectrum of hydrogen, , 40

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2. The energy of an electron in the orbit does, not change with time. However, the electron, will move from a lower stationary state to a, higher stationary state if and when the required, amount of energy is absorbed by the electron., Energy is emitted when electron moves from, a higher stationary state to a lower one., The energy change does not take place in a, continuous manner., , 4.6.2 Results of Bohr’s theory : Bohr’s theory, is used to derive the energies of orbits, that is,, the stationary states, in hydrogen atom. The, results of Bohr’s theory for hydrogen atom are, summarized here., a. The stationary states for electron are, numbered n = 1, 2, 3....... .These integers are, known as principal quantum numbers., b. The radii of the stationary states are, rn = n2a0 ,, where ao = 52.9 pm (picometer). Thus, the, radius of the first stationary state, called the, Bohr radius is 52.9 pm., c. The most important property associated, with the electron is the energy of its stationary, state. It is given by the expression., E1 = -RH (1/n2), where n = 1, 2, 3,, (4.6), RH is the Rydberg constant for hydrogen and, its value in joules is 2.18 × 10-18 J, The lowest energy state is called the ground, state. Energy of the ground 1/12 state is, E1 = -2.18 × 10-18 1/12 = -2.18 ×10-18 J, Energy of the stationary state corresponding to, n = 2 is, E2 = -2.18 × 10-18 (1/(2)2) = -0.545 × 10-18 J, , Angular Momentum :, , Angular momentum is a product of, moment of inertia (I) and angular, velocity (ω) omega, Angular momentum = I × ω ; but, I = m r2 and ω = v/r, ∴ Angular momentum = mr2 × v/r =, mvr, v, , m, r, ω, , 3. The frequency of radiation absorbed or, emitted when transition occurs between two, stationary states that differ in energy by ∆E is, given by the following expression, ν=, , E, h, , , , E2  E1, h, , Just think, What does the negative sign of electron, energy convey ?, A free electron at rest is an electron, that is at infinity from the nucleus and does, not experience any electrostatic force of, attraction towards the nucleus and therefore,, it is assigned the energy value of zero., The negative sign means that the, energy of the electron in the atom is lower, than the energy of a free electron at rest., Mathematically this corresponds to setting, ‘n’ equal to infinity in the equation so that, E∞= 0. As the electron gets close to the, nucleus,‘n’ decreases En becomes large in, absolute value and more and more negative., Thus stationary states with smaller values, of ‘n’ have large and negative energy. The, negative sign corresponds to attractive force, between the electron and nucleus., , (4.4), , Where E1 and E2 are the energies of, the lower and higher allowed energy states, respectively. This expression is commonly, known as Bohr’s frequency rule., 4. The angular momentum of an electron in a, given stationary state can be expressed as, h, mvr = n ×, where n = 1, 2, 3, (4.5), 2π, Thus, an electron can move only in, those orbits for which its angular momentum, is integral multiple of h/2π. Thus only certain, fixed orbits are allowed here., , 41

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Problem 4.7 :, Calculate the radius and energy, associated with the first orbit of He⊕., Solution : He⊕ is a hydrogen-like, species having the nuclear charge, Z = 2 and for the first orbit n = 1, radius of first orbit of He⊕, , Do you know ?, The Bohr’s theory is applicable to, hydrogen atom and hydrogen-like species, which contain, only one extranuclear, electron., Problem 4.6 :, How many electrons are present in, 2, H , 2He and He⊕ ? Which of these are, 1, hydrogen like specis?, Hydrogen-like species, Solution :, contain only one electron., 2, H number of protons = 1, 1, = number of electrons, He : number of protons = 2, 2, = number of electrons, He⊕ : (number of electron in He)-1, = (number of electron in He⊕), = (2 - 1) = 1, Thus 21H and He⊕ are hydrogen-like, species., , r1 =, , Energy of first orbit of He⊕,  Z2 ,  J, En = − 2.18 x 10-18 ,  n2 , , , 2, 2 , = − 2.18 x 10-18  2 ,  1 , = − 8.72 × 10-18 J, 4.6.3 Explanation of the line spectrum, of hydrogen using Bohr theory : The, line emission spectrum (Fig. 4.5) obtained, from atomic hydrogen can be explained, qnantitatively using Bohr theory. According, to second postulate of Bohr theory, radiation, is emitted when electron moves from an outer, orbit of higher principal quantum number, (ni) to an inner orbit of lower principal, quantum number (nf). The energy difference, (∆E) between the initial and final orbit of, the electronic transition corresponds to the, energy of the emitted radiation. From the third, postulate of Bohr theory ∆E can be expressed, as, ∆E = Ei - Ef , (4.9), According to the results derived from, Bohr theory the energy E of an orbit is related, to its principal quantum number ‘n’ by the Eq., (4.6)., , d. Bohr theory can be applied to hydrogen like, species. For example He⊕, Li2⊕, Be3⊕ and so, on. Energies of the stationary states associated, with these species are given by :,  Z2 , J , 2 , n , , En = - 2.18 × 10-18 , , (4.7), , and radii by the expression, rn =, , 52.9(n2 ), pm ,, Z, , 52.9(n2), 52.9 × 12, =, Z, 2, , (4.8), , where Z is the atomic number. From the, above expression it can be seen that the energy, decreases (becomes more negative) and radius, becomes smaller as the value of Z increases., e. Velocities of electrons can also be calculated, from the Bohr theory. Qualitatively it is found, that the magnitude of velocity of an electron, increases with increase of Z and decreases, with increase in the principal quantum number, n., ,  1, E = -RH  2  , (4.6), n , Combinig these two Eq. (4.9) and Eq. (4.6) we, get:,  RH   RH ,  1, 1 , R, , , , , , , , , , , , H, ∆E =, 2, 2, 2, ni 2 ,  n f,  ni   n f , , 42

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Substituting the value of RH in joules we get,  1, 1 , ∆E = 2.18 × 10-18  2  2  J, ni ,  n f, , (4.10), , Pfund series, Bracket series, Paschen series, , This expression can be rewritten in terms, of wavenumber of the emitted radiation in the, following steps., We know: (∆E) J = (h) J s ×   Hz ... (4.1), and by definition,   Hz, (4.11),  cm-1 ,  c  cm s1, combining these Eq. (4.10), Eq. (4.1) and Eq., (4.11) we get, 1, (∆E), x, ∴ (ν) cm-1 =, (c), cms-1, (h) J  s, , Balmer series, Ionisation enthalpy of, hydrogen 1312 kJmol-1, Lyman series, , , , =, , ∴ (ν) cm-1=109677, , Fig. 4.6 : Electronic transition in the, hydrogen spectrum, , Problem 4.8 :, What is the wavelength of the photon, emitted during the transition from the, orbit of n = 5 to that of n = 2 in, hydrogen atom?, Solution: The wavenumber of transition, is given by Rydberg expression,  1, 1 , (ν) = 109677  2  2  cm-1,  n1 n2 , Here n1 = 2 and n2 = 5, 1 1, ∴ (ν) = 109677  2  2 , 2 5 , 1 1 , = 109677   ,  4 25 , 21, = 23032.17 cm-1, = 109677 ×, 100, 1, λ =, 23032.17, 1, λ =, = 4.34 × 10-5 cm, ν, wavelength of photon, λ = 4.34 × 10-5 cm, = 4.34 × 10-5 × 107 nm = 434 nm, , [ [, [ [, , 2.18 x 10-18, 6.626 x 10-34 x 3 x 1010, , Wavelength, , 1 1, cm-1, nf2 ni2, , 1 1, cm-1, nf2 ni2, , This appears like the Rydberg Eq. (4.3), where, nf = n1 and ni = n2., In other words, Bohr theory successfully, accounts for the empirical Rydberg equation, for the line emission spectrum of hydrogen. In, the Rydberg equation ‘n1’ and ‘nf’ are integers., Bohr’s theory assigns physical meaning, to them as principal quantum numbers, corresponding to the concentric orbits. The, integers in Rydberg equation, stand for the, final orbit, nf of electronic transition and n1 for, the initial orbit., The emission lines comprising the, five series thus, are result of electronic, transitions from the excited hydrogen atoms., The Lyman series is the result of moving of, electron excited to higher orbits of n2= ni = 2,, 3, 4,.....etc. to lower orbits of n1 = nf = 1; the, Balmer series results from electron from n2 =, ni = 3, 4,........ to the lower orbit of n1= nf = 2,, so on and so forth. The electronic transitions, giving rise to different emmission line series of, atomic hydrogen are shown in Fig. 4.6., , 4.6.4 Limitations of Bohr model, 1. Bohr’s atomic model failed to account for, finer details of the hydrogen atom spectrum, observed in sophisticated spectroscop, experiments., 2. Bohr model was unable to explain the, spectrum of atoms other than hydrogen ., 3. Bohr theory could not explain the splitting, of spectral lines in the presence of a, magnetic field (Zeeman effect) or electric, field (Stark effect)., , 43

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of its determination is low. In that case the, uncertainty of determination of the other, property is very high., Mathematically Heisenberg uncertainty, principle is expressed as:, h, ∆x × ∆px ≥, 4π, h, ∆x × ∆(mvx) ≥, 4π, h, ∆x × ∆vx ≥, 4π, , 4. Bohr theory failed to explain the ability, of atoms to form molecules by chemical, bonds., It was, therefore, thought that a better, theory was needed to explain salient features, of atomic structure., 4.6.5 Reasons for failure of the Bohr model, With the limitations of Bohr model, for hydrogen atom becoming transparent,, attempts were made to develop a better and, general model for atom. This was possible, because two important developments took, place after the Bohr model was postulated., These development were :, 1. de Broglie’s proposal of dual behaviour of, matter, and, 2. Heisenberg uncertainty principle., In Bohr model an electron is regarded, as a charged particle moving in well defined, circular orbits about the nucleus. In contrast to, this de Broglie proposed in 1924 that matter, should exhibit a dual behaviour, that is,both, particle and wave like properties. This means, that electron should have momentum, p, a, property of particle as well as wavelength,, λ, a property of wave. He gave the following, relation between λ and p of a material particle., h, h, , , mv p, De Broglie’s prediction was confirmed by, diffraction experiments (a wave property)., , Here ∆x is the uncertainty in position and, ∆px (or ∆vx) is the uncertainty in momentum. A, further implication of the uncertainty principle, is that for an electron having certain energy, one can only determine its probability at a, particular point x around the nucleus. Bohr’s, model describes concentric orbits as well, defined paths of the electron rotating about, the nucleus and calculate energy of electron, occupying these orbits. Bohr model assumes, that both position and momentum, of the, electron in hydrogen atom are known exactly, at the same time, which is ruled out by the, Heiesenberg uncertainty principle. Hence no, attempt was made to extend the Bohr model, to other atoms. A different approach to atomic, model which would account for particle, duality of matter and would be consistent with, Heisenberg uncertainty principle was required., This became possible with the development of, quantum mechanics., 4.7 Quantum mechanical model of atom :, A new branch of science, called quantum, machanics, was developed in 1926 by Werner, Heisenberg and Erwin Schrodinger based, on uncertainty principle and wave motion,, respectively. Quantum mechanics based on, the ideas of wave motion will be discussed, here. Schrodinger developed the fundamental, equation of quantum mechanics which, incorporates wave particle duality of matter., The Schordinger equation or wave equation, is written as, ∧, (4.12), Hψ = Eψ , , Internet my friend, Collect information about Structure, of Atom., In the year 1927 Werner Heisenberg, stated the uncertainty principle : “It is, impossible to determine simultaneously,, the exact position and exact momentum (or, velocity) of an electron. In other words the, position and momentum of an electron can not, be determined with the same certainty. If the, certainty of determination of one property of, the two is high, it means that the uncertainty, , 44

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The principal quantum number ‘n’ is, a positive integer with values of n being 1, 2,, 3, 4, .............. It identifies the shell. Atomic, orbitals, having the same value ‘n’ belong to, the same shell. With increase of ‘n’, the number, of allowed orbitals in that shell increases and, is given by ‘n2’. A set of orbitals with given, value of ‘n’ constitutes a single shell. Shells, are represented by symbols K, L, M, N,........., so on, (see Table 4.6)., Table 4.6 : Allowed orbitals in he first four, shells, Principal, Allowed, Shell, quantum, number of Size of, shell, symbol, number, orbitals, n, n2, 1, K, 1, 2, L, 4, 3, M, 9, 4, N, 16, , increases, , ∧, Here H is a mathematical operator called, Hamiltonian, ψ (psi) is the wave function, and E the total energy of the system. Solving, Schrodinger equation is beyond the scope of this, book. It may, however, be noted that solution of, Schrodinger equation gives E and ψ ., 4.7.1 Schrodinger equation : When, Schrodinger equation is solved for hydrogen, atom, the possible values of energy (E) that the, electron may have along with the corresponding, wave function (ψ) are obtained. As a natural, consequence of solving this equation, a set of, three quantum numbers characteristic of the, quantized energy levels and the corresponding, wave functions are obtained. These are :, Principal quantum number (n), azimuthal, quantum number (l) and magnetic quantum, number (ml)., The solution of Schrodinger wave, equation led to three quantum numbers and, successfully predicted features of hydrogen, atom emission spectrum. Splitting of spectral, lines in multi-electron atomic emission spectra, could not be explained through such model., These were explained by George Uhlenbeck, and Samuel Goudsmit (1925) who proposed, the presence of the fourth quantum number, called electron spin quantum number, ms., Wave function, ψ, as such does not have, any physical meaning. The probability of, finding an electron at a point within an atom, is proportional to ψ 2 in the neighbourhood, of that point (within a tiny volume element), around it., 4.7.2 Atomic orbitals and quantum numbers, Many wave functions are possible for, an electron, and therefore, many atomic, orbitals are present in an atom. Thus the wave, functions or atomic orbitals form the basis of, the quantum mechanical electronic structure, of an atom. Various orbitals in an atom differ, in size, shape and orientation with respect to, the nucleus depending upon the value of ψ 2., Each orbital is designated by three quantum, numbers labelled as n, l and ml, and each, electron being assigned with four quantum, numbers, viz, n, l, ml and ms., , With an increase of ‘n’, the distance from, the nucleus and size of the shell increases and, also the energy increases (becoming lesser and, lesser negative). In hydrogen-like species the, energy of orbital depends only on the value, of ‘n’. In the case of multi-electron atoms the, energy of orbital depends on two quantum, numbers ‘n’ and ‘l’ as well., The azimuthal quantum number, l, is, also called subsidiary quantum mumber., Atomic orbitals with the same value of ‘n’, but different values of ‘l’ constitute a subshell, belonging to the shell for the given ‘n’. The, number of subshells in a shell is equal to ‘n’., Thus, the third shell contains three subshells, (with three different values of ‘l’), the second, shell contains two subshells and the first shell, contains only one subshell. The values of ‘l’, range from 0 to (n - 1). Thus, the K shell (with, n = 1) contains only one subshell having l = 0., The subshells or sub-levels having ‘l’ equal to, 0, 1, 2, 3, ..... are represented by the symbols s,, p, d, f,............., respectively., , 45

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The magnetic orbital quantum number,, ml , gives information about the relative spatial, orientation of the orbitals in a given subshell., For any subshell (defined by ‘l’ value), (2l + 1) values of ml are possible which range, through :, ml = - l, - ( l - 1 ),- ( l - 2 )..........,0,.....( l - 2 ),, ( l - 1 ), l., Thus for the subshell ‘s’ with l = 0, the, only allowed value of ml = 0. In other words,, ‘s’ subshells has only one orbital in it. For the, subshell ‘p’ having l = 1, the allowed values of, ml are -1, 0, +1. Thus ‘p’ subshell contain three, orbitals having distinct orientations, and so on., The sum of orbitals in a constituent, subshells gives the total number of orbitals in, a concerned shell and is given by n2 (see Table, 4.7), Electron spin quantum number, ms,, specifies the spin state of the electron in an, orbital. An electron spins around its axis., This imparts spin angular momentum, to the, electron., , The two orientations which the spin, angular momentum of an electron can take, up give rise to the spin states which can be, distinguished from each other by the spin, quantum number, ms, which can be either + 1/2, or -1/2. The two spin states are represented by, two arrows, ↑ (pointing up) and ↓ (pointing, down) and thus have opposite spins. “An, orbital can accomodate maximum two, electrons and they must have opposite, spins.”, This is known as Pauli exclusion, principle which will be dealt with in section, 4.7.5, 4.7.3 Shapes of atomic orbitals : The, probability of finding an electron at a given, point in an atom is proportional to square of, the wave function ψ2 at that point. According, to Max Born ψ2 at a point in an atom is the, probability density of electron at that point., Figure 4.7 (a) shows the probability, density diagrams of 1s and 2s atomic orbitals., These diagrams appear like a cloud. The, electron cloud of 2s orbital shows one node,, which is a region with nearly zero probability, density and displays the change of sign for its, corresponding wavefunction., , Table 4.7 : Distribution of orbitals in shells and subshells, , K, , Principal, quantum, number n, n=1, , L, , n=2, , 22 = 4, , 2, , M, , n=3, , 32 = 9, , 3, , Shell, , Total number, Total orbitals, of, subshells in, in the shell n2, a shell n, 2, 1, 1 =1, , Azimuthal, quantum, number l, l=0, l=0, l=1, l=0, l=1, l=2, , Number of, orbitals in the, subshell 2l +1, 2×0+1=1, 2×0+1=1, 2×1+1=3, 2×0+1=1, 2 ×1 + 1 = 3, 2×2+1=5, , (a) Probability density plots, , 1s, , 2s, , Fig. 4.7 : (a) Shapes of 1s and 2s orbitals, , 46, , Sum of orbitals, in all the, subshells, 1, 1+3=4, 1+3+5=9

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The Table 4.8 shows orbitals in the first four shells with the three quantum numbers for each, orbital., Table 4.8 : Orbital distribution in the first four shells, Symbol, of Shell, , Value of, Principal, quantum, umber (n ), , Number of, subshells, , K, , n=1, , L, , n=2, , M, , N, , Symbol of, subshell, , Total Number, of orbitals in, the subshell, = 2l +1, , 1, , Value of, Azimuthal, Quantum, number, l, l=0, , 1s, , 2×0+1=1, , ml = 0, , 2, , l=0, , 2s, , 2×0+1=1, , ml = 0, , l=1, , 2p, , 2×1+1=3, , l=0, , 3s, , 2×0+1=1, , ml = - 1, ml = 0, ml = + 1, ml = 0, , l=1, , 3p, , 2×1+1=3, , l=2, , 3d, , 2×2+1=5, , l=0, , 4s, , 2×0+1=1, , l=1, , 4p, , 2×1+1=3, , l=2, , 4d, , 2×2+1=5, , l=3, , 4f, , 2×3+1=7, , 3, , n=3, , 4, , n=4, , Values of the magnetic, quantum number ml, for the subshell, , ml = -1, ml = 0, ml = + 1, ml = - 2, ml = - 1, ml = 0, ml = + 1, ml = + 2, ml = 0, ml = - 1, ml = 0, ml = +1, ml = - 2, ml = - 1, ml = 0, ml = +1, ml = +2, ml = - 3, ml = - 2, ml = -1, ml = 0, ml = +1, ml = +2, ml = + 3, , Problem 4.9 How many orbitals make the N shell? What is the subshell wise, distribution of orbitals in the N shell?, Solution: For N shell principal quantum number n = 4 ∴ Total number of orbitals in, N shell = n2 = 42 = 16 The total number of subshells in N shell = n = 4. The four, subshells with their azimuthal quantum numbers and the constituent orbital number, are as shown below, Azimuthal quantum number l, l, l, l, l, , Symbol of subshell, , number of orbitals 2l + 1, , s, p, d, f, , (2 × 0) + 1 = 1, (2 × 1) + 1 = 3, (2 × 2) + 1 = 5, (2 × 3) + 1 = 7, , =0, =1, =2, =3, , 47

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Fig 4.7 (b) : Shapes of 1s and 2s orbitals, , Figure 4.7 (b) shows the boundary surface, diagram of atomic orbitals 1s and 2s, which are, spherical in shape. Here, a boundary surface, is drawn in space for an orbital such that the, value of probability density ψ 2 is constant, and encloses a region where the probability of, finding electron is typically more than 90%., Such a boundary surface diagram is a good, representation of shape of an orbital., , Fig. 4.8 : Shapes of 2p orbitals, , Figure 4.8 displays the boundary surface, diagram with the nucleus being at the origin,, for the three 2p orbitals (n = 2 and l =1). It, can be seen that each p orbital has two lobes on, the two sides of a nodal plane passing through, the nucleus. (A nodal plane has ψ2 very close, to zero), The size and energy of the dumbell, shaped three 2p orbitals are the same. Their, orientations in space are, however, different., The lobes of the three 2p orbitals are along the, x, y and z axes. Accordingly the corresponding, orbitals are designated as 2px, 2py and 2pz. The, size and energy of the orbitals in p subshell, increase with the increase of principal quantum, number., , Problem 4.10 : An atom has two electrons, in its 4s orbital. Write the values of the, four quantum numbers for each of them., Solution: For the 4s orbital 4 stands for, the principal quantum number n; s stands, for the subshell s having the value of, azimuthal quantum number l = 0. In the, ‘s’ subshell there is only one orbital and, has magnetic quantum number ml = 0. The, two electrons in this orbital have opposite, spins. Thus the four quantum numbers of, two electrons in 4s orbital are :, n, l, ml, ms, electron 1, 4, 0, 0, + 1/2, electron 2, 4, 0, 0, - 1/2, , dxy, , z, , dxz z, , x, y, , x, , y, , z, , (a), , dyz z, , z, , (b), , (c), dz2, x, , dx2-y2, y, , Do you know ?, , x, (d), , x, , y, , y, , (e), , Fig. 4.9 : Shapes of 3d orbitals, , The value of ψ2 at any finite distance from, the nucleus is never zero. Therefore a boundary, surface enclosing 100% probability density, (which occurs only at the infinity) cannot be, drawn., , There are five orbitals associated with d, subshell. Designated by dxy, dyz, dxz, dx2-y2. and, dz2. The shapes of the five 3d orbitals are, shown in Figure 4.9. In spite of difference in, their shapes, the five d orbitals are equivalent, in energy. The shapes of 4d, 5d, 6d...... orbitals, are similar to those of 3d orbitals, but their, respective size and energies are large or they, are said to be more diffused., , The s orbitals are spherical in shape. Their, size increases with increase of n. It means that, the electron is located farther away from the, nucleus as the principal quantum number n, increases., , 48

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In a multi-electron atom, electrons occupy, different orbitals. The lowest total electronic, energy corresponds to the most stable, that is,, the ground state of an atom. The orbital wise, distribution of electrons in the ground state can, be understood from what is called the aufbau, principle., 4.7.5 Aufbau principle : ‘Aufbau’ is a German, word meaning ‘building up’. The building up, of orbital means filling up of orbitals with, electrons in the ground state of an atom. The, aufbau principle is based on, (i) Increasing, order of energies of orbitals, (ii) Pauli’s, exclusion principle, and (iii) Hund’s rule of, maximum multiplicity., , 4.7.4 Energies of orbitals : The energy of an, electron in the hydrogen atom or hydrogenlike species is determined by the principal, quantum number alone. This is because the, only interaction in these species is attraction, between the electron and nucleus. An, increasing order of energies of orbitals in the, hydrogen atom is given by, 1s < 2s = 2p < 3s = 3p = 3d < 4s = 4p = 4d =, 4f < .........., Of course the shapes of the concerned s, p,, d, f orbitals are different, as described earlier., The orbitals with the same energy and the, corresponding wave functions being different, are called degenerate orbitals., Thus, in hydrogen atom 2s amd 2p are, degenerate orbitals. In multi-electron atoms, there is mutual repulsion among the electrons., The energy of an electron in a multi-electron, atom, therefore, depends both on the principal, quantum number, n, and the azimuthal, quantum number, l. The lower the sum (n, + l) for an orbital, the lower is its energy. If, two orbitals have the same (n + l) values then, orbital with the lower value of n is of lower, energy. This is called the (n + l) rule., From the (n + l) rule the increasing order, of energy of orbitals in multi-electron atoms, can be written as: 1s < 2s < 2p < 3s < 3p < 4s, < 3d < 4p < 5s < 4d < 5p < 6s < 4f < 5d < 6p <, 7s............ (See Table 4.9), , Fig. 4.10 : Increasing order of orbital energy, , Table 4.9 : Dependance of orbital energy on (n + l) value, , 1s, 2s, 2p, 3s, 3p, 4s, 3d, 4p, , increases, , Orbital Energy, , Principal quantum, number n, n =1, n =2, n =2, , Azimuthal, quantum number l, l=0, l=0, l=1, , n =3, , l=0, , 3+0=3, , n, n, n, n, , l=1, l=0, l=2, l=1, , 3 + 1 = 4 n = 3 (lower), 4 + 0 = 4 n = 4 (higher), 3 + 2 = 5 n = 3 (lower), 4 + 1 = 5 n = 4 (higher), , =3, =4, =3, =4, , 49, , (n + l ), 1+0=1, 2+0=2, 2 + 1 = 3 n = 2 (lower), , }, }, }, , n = 3 (higher)

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i. The increasing order of energies of orbitals, As seen in section 4.7.4, the increasing, order of energies of obitals is decided by the, (n + l) value. Electrons in the ground state, atom are filled in the orbitals in an increasing, order of energy. Fig 4.10 shows a useful, method to remember this increasing order of, orbital energy., ii. Pauli exclusion principle : The capacity of, an orbital to accommodate electrons is decided, by Pauli exclusion principle. Wolfgang Pauli, (1926) recognized that “No two electrons in an, atom can have the same set of four quantum, numbers.” Another way to state this Pauli, exclusion principle is: “Only two electrons, can occpy the same orbital and they must, have opposite spins.” Pauli exclusion principle, implies that for an electron belonging to the, same orbital, the spin quantum number ‘ms’, must be different since the other three quantum, numbers n, l and ml are the same. There are, only two values that ‘ms’ can which are +1/2, and -1/2. An orbital thus can accommodate, only two electrons with opposite spins, so that, the fourth quantum number is different for two, occupying electrons. These two electrons with, opposite spins occupying the same orbital are, called an electron pair., This principle is illustrated with helium, atom He (Z = 2). Its electronic configuration is, 1s2 as, . And two electrons are in 1s orbital., The two non - identical combinations of the, four quantum numbers of both electrons in, helium are given in Table 4.10., , Since an orbital can accommodate up, to two electrons only, the capacity of a shell, with the principal quantum number n, to, accommolate electrons is given by 2n2., iii. Hund’s rule of maximum multiplicity :, Filling of electrons in the orbitals belonging, to the same subshell (orbitals of equal energy, or degenerate orbitals) follows the Hund’s, rule of maximum multiplicity. As per this, rule “Pairing of electrons in the orbitals, belonging to the same subshell does not, occur unless each orbital belonging to that, subshell has got one electron each.”, Consider, for example, filling of p, subshell. The p subshell has three degenerate, orbitals. Here pairing of electrons starts when, the fourth electron enters the p subshell. The, electronic configuration of four electrons, occupying p-orbital then will be, and not as, . It is observed that, half-filled and fully filled set of degenerate, orbitals has extra stability., 4.7.6 Electronic configuration of atoms and, its representation : Electronic configuration, of an atom is the distribution of its electrons, in orbitals. The electronic configuration can, be written by applying the aufbau principle., There are two methods of representing, electronic configuration:, (i) Orbital notation: nsanpbndc.........., (ii) Orbital diagram:, In the orbital notation method, a, shells is represented by the principal quantum, number followed by respective symbol of a, subshell and number of electrons occupying, that subshell being written as super script, on right side of the symbol. In the orbital, diagram method each orbital in a subshell, is represented by a box and the electron, represented by an arrow (↑ for up spin and ↓, for low spin) placed in the respective boxes., In this second method all the four quantum, numbers of electron are accounted for., Electronic configuration of a few elements is, illustrated in Table 4.11., , Table 4.10, Quantum number Set of values, of four, n l ml ms, quantum, numbers, st, 1 electron 1 0 0, +1/2 (1, 0, 0, +1/2), nd, -1/2 (1, 0, 0, -1/2), 2 electron 1 0 0, Electron, , It implies that two electrons in the same, atom have always different set of quantum, numbers that means, the set of (n, l, ml) is the, same and the ms, is different., , 50

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Electronic configurations of Cu and Cr, Chromium : Atomic number of chromium, is 24. Expected electronic configuration is, 1s22s22p63s23p64s23d4; In that case 3d is not, half-filled. Hence, it has less stability., Interelectronic repulsion makes one 4s, electron enter into one of empty 3d orbitals,, thereby both 4s and 3d orbitals become, half-filled so that chromium atom acquires, extra stability. Its electronic configuration is, 1s22s22p63s23p64s13d5., Copper : Atomic number of copper is 29., The expected electronic configuration is, 1s22s22p63s23p64s23d9. Here 3d orbital is neither, half-filled nor fully filled. Due to interelectronic, repulsions forces one 4s electron to enter into, 3d which makes it completely filled with 4s, being half-filled. Hence copper atom accquires, extra stability. Now electronic configuration of, Cu is 1s22s22p63s23p64s13d10., Isoelectronic species : Atoms and ions, having the same number of electrons are, isoelectronic. The electronic configuration of, the isoelectronic species is the same. Consider, K⊕ formed by removal of one electron from K, atom., Which has 19 electrons (Z = 19). Therefore, ⊕, K has 18 electrons, , Table 4.11 : Representation of electronic, configuration, Element, Orbital, Orbital diagram, symbol, notation, 1, , H, , 1s1, , He, , 1s2, , Li, , 1s22s1, , Be, , 1s22s2, , F, , 1s22s22p5, , 2, , 3, , 4, , 1s, 1s, 1s, , 2s, , 1s, , 2s, , 2p, 1s 2s, Condensed orbital notation of electronic, configuration : The orbital notation of, electronic configuration of an element with, high atomic number comprises a long train, of symbols of orbitals with an increasing, order of energy. It can be condensed by, dividing it into two parts. Electronic, configuration of the preceding inert gas is, a part of the electronic configuration of any, element. In the condensed orbital notation, it is implied by writing symbol of that inert, gas in a square bracket. It is core part of the, electronic configuration of that element. The, outer configuration is specific to a particular, element and written immediately after the, bracket. For example, the orbital notation of, potassium, K (Z = 19) is , 1s22s22p63s23p64s1’, Its core part is the electronic configuration, of the preceding inert gas argon ‘Ar :, 1s22s22p63s23p6, while ‘4s1’ is an outer part., Therefore the condensed orbital notation of, electronic configuration of potassium is ‘K, : [Ar] 4s1.’ Table 4.12 displays detailed and, condensed orbital notations of electronic, configuration of various elements with atomic, numbers from 1 to 30., 9, , Number of, electrons, , K (Z = 19) → K⊕ + e, , 19, , 18, , , , Species such as Ar, Ca2⊕ containing 18, electrons are isoelectronic with K⊕ ., Electronic configuration of all these species, with 18 electrons is 1s22s22p63s23p6., , Internet my friend, Visit following link, download the information and make a presentation., www.thoughtco.com/definition., , 51

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Problem 4.11 : Write electronic configuration of 18Ar and 19K using orbital notation and orbital, diagram method., Solution : From the atomic numbers it is unterstood that 18 electron are to be filled in Ar atom and, 19 electrons are to be filled in K atom. These are to be filled in the orbitals according to the aufbau, principle. The electronic configuration of these atoms can be represented as., , Ar, , Orbital notation, 1s22s22p6 3s23p6, , K, , 1s 2s 2p 3s 3p 4s, , 18, , 2, , 19, , 2, , 6, , 2, , 6, , Orbital diagram, , 1s, , 2s, , 2p, , 3s, , 3p, , 1s, , 2s, , 2p, , 3s, , 3p, , 1, , 4s, , Problem 4.12, Find out one dinegative anion and one unipositive cation which are isoelectronic with Ne, atom. Write their electronic configuration using orbital notations and orbital digram method., Solution:, Ne has Z = 10. Therefore Ne and its isoelectronic species contain 10 electrons each., The dinegative anionic species isoelectronic with Ne is obtained by adding two electrons to, the atom with Z = 8. This is O2 . The unipositive cationic species isoelectronic with Ne is, obtained by removing one electron from an atom of Z = 11. It is Na⊕. These species and their, electronic configuration are shown below :, Number of electron, Ne, , Orbital Notation, , Orbital diagram, , 10, , O + 2e, , O2, , 10, , Na - e, , Na⊕, , 10, , 1s22s22p6, , 1s, , 2s, , 2p, , Exercises, 1. Choose correct option., A. The energy difference between the, shells goes on ........... when moved, away from the nucleus., a. Increasing , b. decreasing, c. equalizing , d. static, B. The value of Plank’s constant is a. 6.626 × 10-34Js, b. 6.023 × 10-24Js, -28, c. 1.667 × 10 Js, d. 6.626 × 10-28Js, C. p-orbitals are....... in shape., a. spherical , b. dumb bell, c. double dumbell, d. diagonal, D. “No two electrons in the same atoms, can have identical set of four quantum, numbers”. This statement is known as a. Pauli’s exclusion principle, b. Hund’s rule, , c. Aufbau rule, d. Heisenberg uncertainty principle, E. Principal Quantum number describesa. shape of orbital, b. size of the orbital, c. spin of electron, d. orientation of in the orbital electron, cloud, 2. Make the pairs:, , ‘A’, ‘B’, a. Neutrons, i. six electrons, b. p-orbital, ii.-1.6×10-19 C, c. charge on electron iii. Ultraviolet, region, d. Lyman series, iv. Chadwick, , 53

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I. Explain the anomalous behavior of, copper and chromium., J. Write orbital notations for electrons in, orbitals with the following quantum, numbrs., a. n = 2, l =1 b. n =4, l = 2, c. n = 3, l = 2, K. Write electronic configurations of Fe,, Fe2+, Fe3+, J. Write condensed orbital notation of, electonic configuration of the following, elements:, a. Lithium (Z=3) b. Carbon (Z=6), c. Oxygen (Z=8), d. Silicon (Z=14), e. Chlorine (Z=17) f. Calcium (Z=20), M. Draw shapes of 2s and 2p orbitals., N. Explain in brief, the significance of, azimuthal quantum number., O. If n=3, what are the quantum number l, and m?, P. The electronic configuration of oxygen, is written as 1s2 2s2 2px2 2py1 2pz1 and not, as 1s2 2s2 2px2, 2py2 2pz0, Explain., Q. Write note on ‘Principal Quantum, number., R. Using concept of quantum numbers,, calculate the maximum numbers of, electrons present in the ‘M’ shell. Give, their distribution in shells, subshells and, orbitals., S. Indicate the number of unpaired electrons, in :, a. Si (Z=14) b. Cr (Z=24), T. An atom of an element contains 29, electrons and 35 neutrons. Deducea. the number of protons, b. the electronic configuration of that, element, , 3. Complete the following information, about the isotopes in the chart given, below :, Substance, , Mass, Number, , Number of, Protons, , Neutrons, , Electrons, , Carbon-14, Lead-208, Chlorine-35, Uranium-238, Oxygen-18, Radium-223, , (Hint: Refer to Periodic Table if required), 4. Match the following :, Element, No. of Neutron, 40, a. 18 Ar, i. 7, b. 146 C, ii.21, 40, c. 19 K, iii. 8, d. 14 N, iv. 22, 7, 5. Answer in one sentence :, A. If an element ‘X’ has mass number 11, and it has 6 neutrons, then write its, representation., B. Name the element that shows simplest, emission spectrum., C. State Heisenberg uncertainty principle., D. Give the names of quantum numbers., E. Identify from the following the, isoelectronic species:, Ne, O2-, Na+ OR Ar, Cl2-, K⊕, 6. Answer the following questions., A. Differentiate between Isotopes and, Isobars., B. Define the terms:, i. Isotones ii. Isoelectronic species, iii. Electronic configuration, C. State and explain Pauli’s exclusion, principle., D. State Hund’s rule of maximum, multiplicity with suitable example., E. Write the drawbacks of Rutherford’s, model of an atom., F. Write postulates of Bohr’s Theory of, hydrogen atom., G. Mention demerits of Bohr’s Atomic, model., H. State the order of filling atomic orbitals, following Aufbau principle., , Activity :, Collect information about discoveries, of sub atomic particles and present in class, by using power point presentation., , 54

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5. Chemical Bonding, 5.1 Introduction : Why are atoms held, together in chemical compounds ? There must, be some force that holds them together. You, have already learnt in lower classes that the, forces holding atoms together in a compound, are the chemical bonds., How are chemical bonds formed between, two atoms ? There are two ways of formation, of chemcial bonds (i) by loss and gain of, electrons (ii) by sharing a pair of electrons, between the two atoms. In either process of, formation of chemical bond each atom attains, a stable noble gas electronic configuration., Which electrons are involved in the, formation of chemical bonds ? The electrons, present in the outermost shell of an atom are, involved in the formation of a chemical bond., 5.2 Kossel and Lewis approach to chemical, bonding : Number of attempts were made, to explain the formation of chemical bond in, terms of electrons, but the first satisfactory, explanation was given by W.Kossel and G.N., Lewis independently. They gave a logical, explanation of valence which was based on, the inertness of noble gases. On the basis of, this they proposed a theory of valence known, as Electronic theory of valence in 1916., According to Lewis, the atom can be, pictured in terms of a positively charged, 'kernel' (the nucleus plus inner electrons) and, outer shell that can accommodate a maximum, of eight electrons. This octet of electrons, represents a stable electronic arrangement., Lewis stated that each atom achieves, stable octet during the formation of a chemical, bond. In case of sodium and chlorine this can, be achieved by transfer of one electron from, sodium to chlorine. Thus Na⊕ (2, 8) and Cl, (2, 8, 8) ions are formed which held together., In case of other molecules like H2, F2, Cl2,, HCl etc. the bond is formed by the sharing of, a pair of electrons between the atoms. In this, process each atom attains a stable outer octet, of electrons., , Octet rule : In 1916 Kossel and Lewis, proposed an important theory for explaining, the formation of chemical bond known as, Electronic Theory of Valence. This theory is, mainly based on octet rule developed by Lewis., Octet rule is based on stability of noble gases, due to presence of eight electrons (ns2np6) in, the valence shell., This rule states that during the formation, of chemical bond, atom loses, gains or shares, electrons so that its outermost orbit (valence, shell) contains eight electrons. Therefore the, atom attains the nearest inert gas electronic, configuration., The octet rule is found to be very useful, in explaining the normal valence of elements, and in the study of the chemical combination, of atoms leading to the formation of molecule., However it should be noted that octet rule is not, valid for H and Li atoms. These atoms tend to, have only two electrons in their valence shell, similar to that of Helium (1s2) which called, duplet., 5.2.1 Ionic bond, I. Formation of sodium chloride (NaCl), The electronic configurations of Sodium and, Chlorine are :, Na (Z = 11) 1s22s22p63s1 or 2, 8, 1, Cl (Z = 17) 1s22s22p63s2 3p5 or 2, 8, 7, Internet my friend, Search more atoms which complete, their octet during chemical combinations., Sodium has one electron in its valence, shell. It has a tendency to lose one elctron to, acquire the configuration of the nearest nobel, gas Ne (2, 8). Chlorine has seven elctrons in, its valence shell. It has a tendency to gain one, electron and thereby acquire the configuration, of the nearest nobel gas Ar (2, 8, 8). During the, combination of sodium and chlorine atoms,, the sodium atom transfers its valence electron, , 55

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to the chlorine atom, sodium atom changes, into Na⊕ ion while the chlorine atom changes, into Cl ion. The two ions are held together, by strong electrostatic force of attraction. The, formation of ionic bond between Na and Cl, can be shown as follows., Na + Cl, Na⊕ + Cl, 2,8,1, , 2,8,7, , 2,8, , Elements having low ionization enthalpy, can readily form ionic bond with elements, having a high negative value of electron gain, enthalpy. Both these processes take place in, gaseous phase. All ionic compounds in the, solid state have each cation surrounded by a, specific number of anions and vice versa., , 2,8,8, , Na⊕ + Cl, , Na⊕Cl or NaCl, , , , Ionic bond, , II. Formation of calcium chloride (CaCl2), : The following representation shows the, formation of compound calcium chloride from, the elements calcium and chlorine :, Electronic configuration of, Calcium :1s22s22p63s23p64s2, Cl :1s22s22p63s2 3p5, Cl + Ca + Cl, 2,8,7 2,8,8,2 2,8,7, , Cl, , Na⊕, , NaCl crystal lattice, , Cl +Ca + Cl, 2⊕, , 2,8,8, , 2,8,8, , The arrangements of cations and anions, in a crystalline solid is ordered and they are, held together by coulombic forces of attraction., During their formation, these compounds, crystallize from the gaseous state (MX(g), MX(s)) to the solid state. The structure in, which they crystallize depends upon the size of, the ions, their packing arrangement and other, factors. The overall stability of the ionic solid, depends upon the interactions between all, these ions and the energy released during the, formation of the crystal lattice., Let us consider the formation of NaCl ionic, solid., Na(g), Na⊕(g) + e ∆iH = 495.8 kJmol-1, Cl(g) + e, Cl (g) ∆egH - 348.7 kJmol-1, Na⊕(g) + Cl (s), NaCl (g) + 147.7 kJmol-1, Conversion of NaCl(g), NaCl (s), is associated with release of energy which is, -788 kJ mol-1. This released energy is much, more than the absorbed energy. Thus stability, of an ionic compound can be estimated by, knowing the amount of energy released, during lattice formation and not just by energy, associated with completion of octet around the, ionic species in the gaseous state alone., Lattice Enthalpy : Lattice Enthalpy of an, ionic solid is defined as the energy required, to completely separate one mole of solid, , 2,8,8, , Cl + Ca2⊕ + Cl, CaCl2or Ca2⊕(Cl )2, 5.2.2 Ionic solids and Lattice Enthalpy :, Ionic solids are solids which contain, cations and anions held together by ionic, bonds. Kossel treatment helps us to understand, the formation of ionic bonds between ions of, different elements. Formation of ions depends, on the ease with which an atom can lose or, gain electrons., M(g), M⊕(g) + e, X(g) + e, X-(g) electron gain enthalpy, M⊕(g) + X (g), MX(g), MX(s), Do you know ?, CsF is the most ionic compound., Because Cs is the most electropositive while, F is the most elctronegative element. The, electronegativity difference between them is, the largest. Hence ions are easily seperable,, the bond is weakest and the compound is, least stable ionic compound., Ionization is always an endothermic, process while electron gain process can be, exothermic or endothermic. Based on the, ionisation enthalpy (∆iH) and electron gain, enthalpy, we can predict which elements can, form ionic compounds., , 56

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ionic compound into the gaseous components., Lattice enthalpy of NaCl is -788 kJ mol-1, which means that 788 kJ of energy is required, to separate 1 mole of NaCl into one mole, of gasesous Na⊕(g) and Cl (g) to an infinite, distance., , other at a certain internuclear distance they, share their valence electrons. The shared, pair of electrons belongs equally to both the, hydrogen atoms. The two atoms are said to, be linked by a single covalent bond and a, molecule H2 is formed., H+H, H : H or H − H, , shared pair of electrons, II. Formation of Cl2 : The Lewis-Langmuir, theory can explain the formation of chlorine, molecule, Cl2. The Cl atom with electronic, configuration [Ne]3s23p5 is one electron, short of Argon configuration. The formation, of Cl2 molecule can be understood in terms, of the sharing of a pair of electrons between, two chlorine atoms. Each chlorine atom, contributes one electron to the shared pair. In, the process both the chlorine atoms attain the, valence shell octet of the nearest noble gas, (i.e. Argon), , Table 5.1 : Lattice Enthalpy values of some, ionic Compounds, Compound, Lattice enthalpy, kJmol-1, LiCl, 853, NaCl, 788, 3020, BeF2, 2258, CaCl2, 5492, AlCl3, , For same anion and different cations :, 1. Cations having higher charge have large, lattice energies than compounds having, cations with lower charge. AlCl3 > CaCl2 >, NaCl, 2. As size of cation decrease, lattice energy, increases., LiF > NaF > KF., 5.2.3 Covalent bond : In 1919 Lewis, suggested that there are atoms which attain, inert gas configuration (i.e. 1s2 or ns2np6, configuration) by sharing one or more electron, pairs with similar or dissimilar atoms. Each, atom contributes one electron to the shared, electron pair and has equal claim on the shared, electron pair. Langmuir called the Lewis, electron pair bond a covalent bond. Thus the, concept of covalent bond is known as Lewis, Langmuir concept. A shared pair of electron is, represented as a dash (−) and is responsible for, holding the two atoms together., A covalent bond may be defined as follows :, The attractive force which exists due, to the mutual sharing of electrons between, the two atoms of similar electronegativity or, having small difference in electronegativities, is called a covalent bond., I. Formation of H2 molecule : The electronic, configuration of H atom is 1s1. It needs one, more electron to complete its valence shell., When two hydrogen atoms approach each, , Cl + Cl, , Cl Cl or Cl - Cl, , The dots represent the electrons. Such, structures are referred to as Lewis structures., The Lewis dot structure can be written for, other molecules also in which the combining, atoms may be identical or different. Following, are the important features of covalent bond., • Each bond is formed as a result of sharing, of electron pair between the two atoms., • When a bond is formed, each combining, atom contributes one electron to the shared, pair., • The combining atoms attain the outer shell, nobel gas configuration as a result of the, sharing of electrons., Thus in H2O and CCl4 the formation of, covalent bonds can be represented as,, Cl, H, , O, , H, , H acquires duplet, O acquires octet, H2O, , 57, , Cl, , C, , Cl, , Cl, All atoms acquire octet, CCl4

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8. After writing the number of electrons as, shared pairs forming single bonds, the, remaining electron pairs are used either for, multiple bonds or remain as lone pairs., Table 5.2 includes Lewis representation of, some molecules., , III. Formation of Multiple bond : When, two atoms share one electron pair they are, said to be joined by a single covalent bond., When two combining atoms share two pairs, of electrons, the covalent bond between them, is called a double bond. For example a double, bond between two carbon atoms in ethylene, molecule. When two combining atoms share, three electron pairs a triple bond is formed as, in the case of two nitrogen atoms in the N2, molecule [Fig 5.1(a)]. Some other examples, of multiple bonds are CO2 and C2H2 [Fig 5.1], N N, , O C O, , H C C H, , N≡N, , O=C=O, , H-C≡C-H, , (a) , , (b) , , Table 5.2 Lewis dot structures of some, molecules/ions, Molecul/Ion, Lewis Representation, H2, H:H, H-H, O2, , O, ⊕, , O3, , NF3, , O, , F, F N F, , Fig 5.1 Multiple bonding, , 5.2.3, Lewis, structures, (Lewis, representations of simple molecules) : Lewis, dot structures show a picture of bonding in, molecules and ions in terms of the shared, pairs of electrons and the octet rule. Although, such a picture does not explain completely the, bonding and behaviour of a molecule, it helps, to understand the formation and properties of, molecule., 5.2.4 Steps to write Lewis dot structures, 1. Add the total number of valence electrons of, combining atoms in the molecule., 2. Write skeletal structure of the molecule, to show the atoms and number of valence, electrons forming the single bond between, the atoms., 3. Add remaining electron pairs to complete, the octet of each atom., 4. If octet is not complete form multiple bonds, between the atoms such that octet of each, atom is complete., 5. In anions add one electron for each negative, charge., 6. In cations remove or subtract one electron, from valence electrons for each positive, charge., 7. In polyatomic atoms and ions, the least, electronegative atom is the central atom for, eg. 'S' is the central atom in SO42 , 'N' is the, central atom in NO3 ., , O, , O, , (c), , O, , CO32, , 2, , O, C, O, , O, , HNO3, O, , O, N O H, ⊕, , Problem 5.1 : Write Lewis structure of, nitrite ion NO2 ., Solution, Step I : Count the total number of valence, electrons of nitrogen atom, oxygen atom and, one electron of additional negative charge., N(2s22p3), O (2s22p4), 5 + (2×6) + 1 = 18 electrons, Step II : The skeletal structure of NO2 is, written as O N O, Step III : Draw a single bond i.e. one, shared electron pair between the nitrogen, and each oxygen atoms completing the octet, on oxygen atom. This does not complete the, octet of nitrogen. Hence, there is a multiple, bond between nitrogen and one of the oxygen, atoms (a double bond). The remaining two, electrons constitute a lone pair on nitrogen., Following are Lewis dot structures of NO2 ., [ O N O], [O = N - O [ or [ O - N = O[, , 58

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formal charge is as close to zero as possible., Formal charge is assigned to an atom based on, electron dot structures of the molecule/ion. e.g., O3, NH4⊕, [N = C =O] , [ S = C =N], , Problem 5.2 : Write the Lewis structure of, CO molecule., Solution :, Step - I . Count number of electrons of, carbon and oxygen atoms. The valence, shell configuration of carbon and oxygen, atoms are : 2s22p2 and 2s22p4 respectively., The valence electrons available are, 4 + 6 = 10, Step - II : The skeletal structure of CO is, written as, C O or C O, Step - III : Draw a single bond (One, shared electron pair) between C and O and, complete the octet on O. The remaining two, electrons is a lone pair on C., The octet on carbon is not complete hence, there is a multiple bond between C and, O (a triple bond between C and O atom)., This satisfies the octet rule for carbon and, oxygen atoms., , Formal charge on an atom in a Lewis structure, of a polyatomic species can be determined, using the following expression., , [, [, , [, , Total no. of, valence electrons, in free atom, , =, , Total no. of non, bonding or lone, pairs of electrons, , - 1/2, , -, , [, , Total no. of, bonding or, shared electrons, , or FC=VE − NE − (BE/2), The structure having the lowest formal charge, has the lowest energy., 1. Let us consider ozone molecule O3, Lewis structure of O3., 1, O, O, O, 2, 3, Here three oxygen atoms are numbered as 1,, 2, 3. The formal charge on the central oxygen, atom no.1 = 6-2 -1/2(6) = +1, Formal charge on the end oxygen atoms is, marked as 2, = 6 - 4 - 1/2(4) = 0, Formal charge on the end oxygen atoms, marked as 3, = 6 - 6 - 1/2(2) = -1, Hence, O3 molecule can be represented along, with formal charge as follows :, , C ≡ O or C O, Each H atom attains the configuration of, helium (a duplet of electons), 5.2.5 Formal charge, The Lewis dot diagrams help us to get a, picture of bonding in molecules which obey, the octet rule.In case of polyatomic molecules, double bonds or some times triple bonds are, present and can be represented by more than, one Lewis structure. In the case of CO32 we, can have three dot diagrams., , 2, 2, O, O, 2, O, C, or, or, C, C, O O, O O, O O, Double bonds can be present between, Carbon and any one of the three oxygen, atoms. Formal charges can help us in, assigning bonds when several structures are, possible. Formal charge is the charge assigned, to an atom in a molecule, assuming that all, electrons are shared equally between atoms,, regardless of their relative electronegativities., While determing the best Lewis structure per, molecule the structure is chosen such that the, , [ [ [ [, , [[, [ [, , Formal charge, on an atom in a, Lewis structure, , [ [, , O, , ⊕, O, , O, , The lowest energy structure can be, selected using formal charges from the number, of possible Lewis stuctures, for a given species., 2. Let us take the example of CO2., CO2 can be represented by the following, structures., O =C=O, O -C≡ O, O ≡C-O, 2, 1, 2, 1, 2, 1, A , B, C, , 59

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Assigning the formal charges on the, carbon atom and the two oxygen atoms, numbered 1 and 2, Structure A, Number of electrons: 4 from carbon and 6, from each Oxygen, So total number of electrons=4+6+6=16, Formal charge on C =4-0-1/2(8)=0, Formal charge on O-1 and O-2 =6-4-1/2(4)=0, In this structure formal charge on all atoms is, zero., Structure B., Formal charge on C =4-0-1/2(8)=0, Formal charge on O -1 = 6 - 2 - 6/2 = 4 - 3= +1, Formal charge on O - 2 = 6 - 6 -2/2 = -1, Structure C., Formal charge on C =4-0-1/2(8)=0, Formal charge on 1st O = 6 - 6-2/2 = -1, Formal charge on 2nd O = 6-2-6/2=4-3=+1, We find that in structure A the formal charge, on all atoms is 0 while in structures B and C, formal charge on Carbon is 0 while Oxygens, have formal charge -1 or +1. So the possible, structure with the lowest energy will be, Structure A., , Problem 5.3 :, Find out the formal charges on S, C, N., (S = C = N) ; (S - C ≡ N) ; (S ≡ C-N), Solution :, Step I, Write Lewis dot diagrams for the structure, S=C=N S−C≡N S≡C−N, A , B , C, Step II, Assign formal charges, FC = V.E - N.E - 1/2 B.E., Structure A :, Formal charge on S = 6 - 4 - 1/2(4) =0, Formal charge on C = 4 - 0 - 1/2 (8) = 0, Formal charge on N = 5 - 4 - 1/2 (4) = -1, Structure B :, Formal charge on S = 6 - 6 - 1/2(2) = -1, Formal charge on C = 4 - 0 - 1/2 (8) = 0, Formal charge on N = 5 - 2 - 1/2 (6) = 0, Structure C :, Formal charge on S = 6 - 2 - 1/2(6) = +1, Formal charge on C = 4 - 0 - 1/2 (8) = 0, Formal charge on N = 5 - 6 - 1/2 (2) = -2, i. Incomplete octet, ii. Expanded octet, iii. Odd electrons, i. Molecules with incomplete octet :, eg. BF3, BeCl2, LiCl, In these covalent molecules the central, atoms B, Be and Li have less than eight, electrons in their valence shell but are stable., Li in LiCl has only two electrons, Be in BeCl2 has four electrons while, B in BF3 has six electrons in the valence shell., ii. Molecules with expanded octet : Some, molecules like SF6, PCl5, H2SO4 have more, than eight electrons around the central atom., F, F, F, , Use your brain power, Which atom in NH4⊕ will have formal, charge +1?, Generally the lowest energy structure has, the smallest formal charges on the atoms., 5.2.6 Limitation of octet rule :, 1. Octet rule does not explain stability of some, molecules., The octet rule is based on the inert, behaviour of noble gases which have their, octet complete i.e. have eight electrons in their, valence shell. It is very useful to explain the, structures and stability of organic molecules., However there are many molecules whose, existence cannot be explained by the octet, theory. The central atoms in these molecules, does not have eight electrons in their valence, shell, and yet they are stable. eg. BeCl2, PF5 etc, such molecules can be categorized as having, , S, F, , F, F, , SF6;12 electrons around sulfur, , 60

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5.3 Valence Shell Electron Pair Repulsion, Theory (VSEPR) : Properties of substances, are dependent on the shape of the molecules., Lewis concept is unable to explain the shapes, of molecules. Shapes of all molecules cannot, be described completely by any single theory., One of the popular models used earlier to, predict the shapes of covalent molecules is the, valence shell electron pair repulsion theory, proposed by Sidgwick and Powell. It is based, on the basic idea that the electron pairs on, the atoms shown in the Lewis diagram repel, each other. In the real molecule they arrange, themselves in such a way that there is minimum, repulsion between them., The arrangement of electrons is called as, electron pair geometry. These pairs may be, shared in a covalent bond or they may be lone, pairs., Rules of VSEPR :, 1. Electron pairs arrange themselves in such a, way that repulsion between them is minimum., 2. The molecule acquires minimum energy and, maximum stability., 3. Lone pair of electrons also contribute in, determining the shape of the molecule., 4. Repulsion of other electron pairs by the lone, pair (L.P) stronger than that of bonding pair, (B.P), Trend for repulsion between electron pair is, L.P - L.P > L.P - B.P > B.P - B.P, Lone pair -Lone pair repulsion is maximum, because this electron pair is under the influence, of only one nucleus while the bonded pair is, shared between two nuclei., Thus the number of lone pair and bonded pair, of electrons decide the shape of the molecules., Molecules having no lone pair of electrons, have a regular geometry., , Cl, Cl, P, , Cl, , Cl, Cl, , PCl5;10 electrons around Phosphorus, , H2SO4; 12 electrons around sulfur, , It must be remembered that sulfur also, forms many compounds in which octet rule, is obeyed. For example, sulfur dichloride the, sulfur atom has eight electrons around it., , SCl2 8 electrons around sulfur, , Use your brain power, How many electrons will be around I in the, compound IF7 ?, iii. Odd electron molecules, Some molecules like NO (nitric oxide) and, NO2 (nitrogen dioxide) do not obey the octet, rule. Both N and O atoms, have odd number, of electrons., ⊕, N = O , O=N−O, 2. The observed shape and geometry of a, molecule, cannot be explained, by the octet, rule., 3. Octet rule fails to explain the difference in, energies of molecules, though all the covalent, bonds are formed in an identical manner that, is by sharing a pair of electrons. The rule, fails to explain the differene in reactivities of, different molecules., Use your brain power, Why is H2 stable even though it never, satisfies the octet rule ?, , 61

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AB3E, , 1, , 3, , Trigonal, pyramidal, , NH3, PCl3, , Bent, , H2O, OF2, H2S,, SCl2, etc., , 106.7º, , AB2E2, , 2, , 2, , 104.5º, , AB4E, , 1, , 4, , See saw, , SF4, , AB3E2, , 2, , 3, , T-shape, , ClF3, BrF3,ICl3,, etc, , 86.2º, , AB5E, , 1, , 5, , square, pyramid, , BrF5, IF5, , AB4E2, , 2, , 4, , square planar, , XeF4, , The VSEPR theory is therefore able to, predict and also explain the geometry of large, number of compounds, particularly of p-block, elements., Let us explain the bond angles in NH3, and H2O., 1. Ammonia NH3 : Expected geometry is, tetrahedral and bond angle 1090 28'. Central, nitrogen atom has in all 8 electrons in its, valence shell, out of which 6 are involved, in forming,, three N-H covalent bonds, the remaining pair forms the lone pair., There are two types of repulsions between the, electron pairs., i. Lone-pair-bond pair, ii. Bond pair - bond pair, , The lone-pair-bond pair repulsions are, stronger and the bonded pairs are pushed inside, thus reducing the bond angle to 1070181. and, shape of the molecules becomes pyramidal., 2. Water molecule H2O : The central atom, oxygen has six electrons in its valence shell., On bond formation with two hydrogen atoms, there are 8 electrons in the valence shell of, oxygen. Out of these two pairs are bonded, pairs and two are lone pairs., Due to lone pair - lone pair repulsion the lone, pairs are pushed towards the bond pairs and, bond pair- Lone pair repulsions becomes, stronger thereby reducing the HOH bond, angle from the tetrahedral one to 1040351 and, the geometry of the molecule is angular., , 63

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Lone pair, on nitrogen, , v., , If an atom possesses more than one, unpaired electrons, then it can form more, than one bond. So number of bonds formed, will be equal to the number of half-filled, orbitals in the valence shell i.e. number of, unpaired electrons., vi. The distance at which the attractive and, repulsive forces balance each other is the, equilibrium distance between the nuclei, of the bonded atoms. At this distance, the total energy of the bonded atoms is, minimum and stability is maximum., vii. Electrons which are paired in the, valence shell cannot participate in bond, formation. However in an atom if there, is one or more vacant orbital present then, these electrons can unpair and participate, in bond formation provided the energies, of the filled and vacant orbitals differ, slightly from each other., viii. During bond formation the 's' orbital which, is spherical can overlap in any direction., The 'p' orbitals can overlap only in the x, y, or z directions. [similarly 'd' and 'f' orbitals, are oriented in certain directions in space, and overlap only in these direction]. Thus, the covalent bond is directional in nature., 5.4.2 Interacting forces during covalent bond, formation : By now we have understood that, a covalent bond is formed by the overlap of, two half filled atomic orbitals and the bonded, atoms are stable than the free atoms and the, energy of the bonded atoms is less than that of, free atoms. So lowering of energy takes during, bond formation. How does this happen ?, This happens due to interactive forces, which develop between the nuclei of the two, atoms and also their electrons. These forces, may be attractive and repulsive between, nuclei of A and electrons of B and those, arising from attraction between nuclei of atom, A and electrons of B and the repulsion between, electrons., The balance between attractive and, repulsive forces decide whether the bond will, be formed or not., , +, , 1s orbitals of H, , sp3 hybrid orbital of N, , NH3, Lone pair in an, sp3 hybrid orbital, on oxygen, , +, 1s orbital of H sp3 hybrid orbital of O, , O-H s bond, between an, oxygen sp3, hybrid and an, H Is orbital, , H 2O, , Fig 5.1 : Formation and orbital pictures of NH3, and H2O molecules, , Advanced theories of Bonding :, The Kossel and Lewis approach, to chemical bonding is the first step in, understanding the nature of chemical bond., More advanced theories of bonding were put, forth to account for the newly discovered, properties of compounds in the light of quantum, mechanical theory of atomic structures. Two, important approaches regarding nature of, chemical bond are valence bond theory and, molecular orbital theory., 5.4 Valence Bond Theory :, In order to explain the covalent bonding,, Heitler and London developed the valence, bond theory on the basis of wave mechanics., This theory was further extended by Pauling, and Slater., 5.4.1 Postulates of Valence Bond Theory :, i. A covalent bond is formed when the, half-filled valence orbital of one atom, overlaps with a half filled valence orbital, of another atom., ii. The electrons in the half-filled valence, orbitals must have opposite spins., iii. During bond formation the half-filled, orbitals overlap and the opposite spins, of the electrons get neutralized. The, increased electron density decreases the, nuclear repulsion and energy is released, during overlapping of the orbitals., iv. Greater the extent of overlap stronger, is the bond formed, however complete, overlap of orbitals does not take place due, to internuclear repulsions., , 64

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When the attractive forces are stronger, than the repulsive forces overlap takes place, between the two half filled orbitals a bond is, formed and energy of the system is lowered., This lowering of energy during bond, formation is depicted in the potential energy, diagram. To understand this let us consider, the formation of H2 molecule from atoms, of hydrogen each containing one unpaired, electrons. When the two atoms are for away, from each other there are no interactions, between them. The energy of the system is the, sum of the potential energies of the two atoms, which is arbitarily taken as zero., , and stability decreases. (See Fig. 5.2 potential, energy diagram), If atoms containing electrons with, parallel spins are brought close to each other,, the potential energy of the system increases, and bond formation does not take place., 5.4.3 Overlap of atomic orbitals : Formation, of a bond has been explained on the basis of, overlap of atomic orbital having same energy, and symetry. In the preceding section, we have, seen that the strength of the bond depends on, the extent of overlap of the orbitals. Greater, the overlap stronger is the bond., The orbitals holding the electrons vary in, shape, energy and symetry. So the extent of, overlap depends on the shape and size of the, orbital, On the basis of the above considerations we, have 2 types of bonds., i. sigma bond (σ), ii. pi bond (π), i. Sigma Bond :, When the overlap of the bonding orbitals, is along the internuclear axis it is called as, sigma overlap or sigma bond., The σ bond is formed by the overlap of, following orbitals., a. Two 's' orbitals, b. One 's' and one pz orbital, c. Two 'p' orbitals, a. s-s overlap : eg. H2, The 1s1 orbitals of two hydrogen atoms, overlap along the internuclear axis to form a, σ bond between the atoms in H2 molecule., electronic configuration of H : 1s1, , Fig. 5.2 : Potential energy diagram for, formation hydrogen molecule, , Repulsive forces be stabilize the, system with increase energy of the system, while attractive forces decrease the energy., Experimetally it has been found that during, formation of hydrogen molecule the magnitude, of the newly developed attractive forces, contribute more than the newly developed, repulsive forces. As a result the potential, energy of the system begins to decrease., As the atoms come closer to one another, the energy of the system decreases. The, overlap increases only upto a certain distance, between the two nuclei, where the attractive, and repulsive forces balance each other and, the system attains minimum energy (see Fig, 5.3). At this stage a bond is formed between, the two atoms of hydrogen. If the two atoms, are further pushed closer to each other the, repulsive forces become more predominant, and the energy of the system starts increasing, , +, s, , s, , H, , H, +, , +, , +, , 1s orbitals of H, , 65, , +, , +, , H2 molecule

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b. p-p overlap, This type of overlap takes place when two, p orbitals from different atoms overlap along, the internuclear axis eg. F2 molecule., , trivalency, carbon shows tetravalency in spite, of their electronic configuration e.g. BeH2,, BF3, CH4, CCl4 etc., Be :, 1s2, 2s2, B :, 1s2, 2s2, 2p1, C :, 1s2, 2s2, 2p1x, 2p1, In order to explain the observed valency, in these and such other compounds a concept, of hybridization was put forward., It was suggested that one elctron in '2s', orbital is promoted to the empty '2p' orbital., Thus in the excited state Be, B and C have two,, three and four half filled orbitals, respectively., Electronic configurations in excited state :, 1s, 2s, 2p, , +, p, , p, , Electronic configuration of fluorine 1s2,, 2s2, 2px2, py2, pz1, The 2pz orbitals of the fluorine, atoms overlaps along internuclear axis to form, p-p σ overlap., F2 molecule :1s2, 2s2, 2px2, py2, pz1, c. s-p σ bond, In this type of overlap one half filled, 's' orbital of one atom and one half filled 'p', orbital of another orbital overlap along the, internuclear axis. eg. HF molecule, , Be, B, C, In the excited state Be, B and C have 2,, 3 and 4 half filled orbitals. So Be, B and C, can form 2, 3 and 4 bonds respectively. This, concept helps to understand how Be forms 2, bonds whereas B and C form 3 and 4 bonds,, respectively but it cannot explain how all bonds, have same bond length and bond strength., For example, in BeF2 berylium will use, one s and one half-filled p orbitals to overlap, with two half filled 'p' orbitals on fluorine,, so in the molecule there will be one s-p bond, and one p-p bond. which will not be of equal, strength, but actually both Be-F bonds are of, the same strength.Similar situation is seen in, BF3, BH3, CH4, CCl4. In CH4 all bonds are, of equal strength although the overlaps are, between s, px, py, pz orbitals of carbon and 's', orbital of hydrogen, experimentally all C-H, bond lengths bond strengths and bond angles, are found to be identical., This can be explained using another, concept. ''Hybridiztion'' in the valence, bond theory. This concept helps to explain, the observed structural properties of many, molecules., Hybridization refers to mixing of valence, orbitals of same atom and recasting them, into equal number of new equivalent orbitalsHybrid orbitals., , +, s, , p, , Electronic configuration :, 1s1 ; F : 1s2, 2s2, 2px2, py2, pz1, H, 1s1 orbital of hydrogen and 2pz1 of fluorine, overlap to form s - p σ overlap., ii. p-p overlap/ π overlap/π bond :, When two half filled orbitals of two, atoms overlap side ways (laterally) it is, called π overlap and it is perpendicular to the, interuclear axis., , p- orbital, , p- orbital, , π - overlap, , 5.4.4 Hybridization : The valence bond theory, explained well the formation of covalent bond, by the overlap of orbitals in case of simple, molecules like H2, F2, H-F etc. Accordingly, the maximum number of covalent bonds, which an atom can form equals the number of, unpaired electrons present in its valence shell., But the theory does not explain how berylium, forms two covalent bonds or how boron shows, , 66

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Steps considered in Hybridization, i. Formation of excited state, ii. Mixing and Recasting of orbitals, i. Formation of the excited state : The paired, electrons in the ground state are uncoupled, and one electron is promoted to the a vacant, orbial having slightly higher energy. Now total, number of half filled orbitals is equal to the, valency of the element in the stable compound., e.g. in BeF2, valency of Be is two. In the excited, state one electron from 2s orbital is uncoupled, and promoted to 2p orbital., , 2s, 2p, , vi. A hybrid orbital has two lobes on the two, sides of the nucleous. One lobe is large, and the other small., vii. Covalent bonds formed by hybrid orbitals, are stronger than those formed by pure, orbitals, because the hybrid orbital has, electron density concentrated on the side, with a larger lobe and the other is small, allowing greater overlap of the orbitals., 5.4.5 Types of Hybridization and Geometry, of Molecules : Different types of hybrid, orbitals are obtained from the atomic orbitals, that participate in hybridization., s and p orbitals can hybridize to form the, following hybrid orbitals, i. sp3, ii. sp2, iii. sp, i. sp3 Hybridization : In this type one 's' and, three 'p' orbitals having comparable energy, mix and recast to form four sp3 hybrid orbitals., It should be remembered that 's' orbital is, spherically symmetrical while the px, py, pz,, orbitals have two lobes and are directed along, x, y and z axes, respectively., The four sp3 hybrid orbitals formed are, equivalent in energy. and shape. They have, one large lobe and one small lobe. They are, at an angle of 109028 with each other in space, and point towards the corners of a tetrahedron, CH4, NH3, H2O are examples where the orbitals, on central atom undergo sp3 hybridization., , Ground state, Excited state, ii. Mixing and Recasting : In this step the two, 's' and 'p' orbitals having slightly different, energies mix with each other. Redistribution, of electron density and energy takes place and, two new orbitals having exactly same shape, and energy are formed., These new orbitals arrange themselves in space, in such a way that there is minimum repulsion, and maximum sepration between them., So during formation of sp hybrid orbitals as in, Be the two sp hybrid orbitals are 1800., Conditions for hybridization :, 1. Orbitals belonging to the same atom can, participate in hybridization., 2. Orbitals having nearly same energy can, undergo hybridization, so 2s and 2p orbitals, undergo hybridization but 3s and 2p orbitals, do not., Characteristic features of hybrid orbitals :, i. Number of hybrid orbitals formed is, exactly the same as the participating, atomic orbitals., ii. They have same energy and shape., iii. Hybrid orbitals are oriented in space in, such a way that there is minimum repulsion, and thus are directional in nature., iv. The hybrid orbitals are different in shape, from the participating atomic orbitals, but, they bear the characteristics of the atomic, orbitals from which they are derived., v. Each hybrid orbitals can hold two, electrons with opposite spins., , Fig 5.3 : Formation of sp3 hybrid orbitals, , Formation of methane (CH4) molecule :, Ground state electronic configuration of, Carbon is 1s2, 2s2, 2px1, py1, pz0. In order to, form four equivalent bonds with hydrogen the, 2s and 2p orbitals undergo hybridization., , 67

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Electronic , 1s, 2s , configuration of , carbon, , 2p, , Two sp2 hybrid orbitals overlap axially, two 's' orbitals of hydrogen to form sp2-s σ, bond. The unhydrized 'p' orbitals on the two, carbon atoms overlap laterally to form a, lateral π overlap. Thus the C2H4 molecule has, four sp2-s σ bonds. One sp2-sp2 σ bond one p-p, π bond., Electronic configuration of carbon, 1s, 2s , 2p, , Ground state, Excited state, sp3 Hybrid orbitals, , (four sp3 hybrid orbitals.), One electron from the 2s orbital of, Carbon atom is excited to the 2pz orbital. Then, the four orbitals 2s, px, py, pz mix and recast to, form four new sp3 hybrid orbitals having same, shape and equal energy. They are maximum, apart and have tetrahedral geometry. Each, hybrid orbital contains one unpaired electron., Each of these sp3 hybrid orbitals with one, electron overlap axially with the 1s orbital of, hydrogen atom to form one C-H sigma bond., Thus in CH4 molecule we have four C-H bonds, formed by the sp3-s overlap., , Excited state, , sp3 hybrid orbital of C, , , , sp2 Hybridized, sp2 hybrid orbitals pure 'p'orbital, , H, , C, , C, H, , 1s, orbital, , PZ, , sp2 orbital, , H, , H, , 2p orbital, , sp2, sp2, , PZ, , sp2 sp2, C, , C, , sp2, sp2, , σ bond, , Formation of Boron trifluoride (BF3), molecule :, 1. Need of hybridisation : Observed valency, of boron in BF3 is three and its geometry is, triangular planar which can be explained on, the basis of sp2 hybridisation., 2, sp2 hybridisation of Boron atom : In BF3, molecule central boron atom undergoes, sp2 hybridisation. The ground state, electronic configuration of Boron (z = 5) is, 1s22s22px12py12pz0, , 109.5º, , +, 1s orbitals of H, , Ground state, , CH4, , ii. sp2 Hybridization : This hybridization, involves the mixing of one s and two p orbitals, to give three sp2 hybrid orbitals of same energy, and shape. The three orbitals are maximum, apart and oriented at an angle of 1200 and, are in one plane. The third p orbital does, not participate in hybridization and remains, at right angles to the plane of the sp2 hybrid, orbitals. BF3, C2H4 molecules are examples of, sp2 hybridization., , 1s2, 2s2, 2px12py02pz0, To explain valency of boron in BF3 one, electron from 2s orbital of boron atom is, uncoupled and promoted to vacant 2py orbital., Thus excited state electronic configuration of, boron becomes s22s22px12py12pz1, , Fig 5.4 : Formation of sp2 hybrid orbitals, , 1s2, 2s, 2px12py02pz0, The three orbitals i.e. 2s, 2px of and 2py, of boron undergoes sp2 hybridisation to form, three sp2 hybrid orbitals of equivalent energy, which are oriented along the three corners of, an equilateral triangle making an angle of, 1200., , Formation of C2H4 molecule : This molecule, contains two carbon atoms each bound to, two hydrogen. Each carbon atom undergoes, sp2 hybridization. One 's' orbital and two 'p', orbitals on carbon hybridize to form three sp2, hybrid orbitals of equal energy and symetry., , 68

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Thus boron in hybridised state has electronic, following configuration., , The remaining two unhybridized p, orbitals overlap laterally to form two p-p π, bonds. So there are three bonds between the, two carbon atoms : one C-C σ bond (sp-sp), overlap, two C-C π bonds (p-p) overlap and, fourth sp-s σ bond between C and H satisfy the, fourth valency of carbon., Electronic configuration of carbon, 1s, 2s , 2p, , 1s2, three hybrid orbitals, 3. orbital overlap : Each sp2 hybrid orbital, of boron atom having unpaired electron, overlaps axially with half filled 2pz orbital, of fluorine atom containing electron with, opposite spin to form three B-F sigma bond, by sp2-p type of overlap., 4. Bond angle : Each F-B-F bond angle in BF3, molecule is 1200., 5. Geometry : The geometry of BF3 molecule is, trigonal planar., , Ground state, Excited state, sp Hybridized, sp hybrid orbitals, σ bond, , σ bond, , σ bond, , one π bond, , pure 'p'orbitals, Second π bond, , 5.4.6 Importance and limitation of valence, bond theory, Importance of valence bond theory (V.B), V.B. theory introduced five new concepts in, chemical bonding., i. Delocalization of electron over the two, nuclei., ii. shielding effect of electrons., iii. covalent character of bond., iv. partial ionic character of a covalent bond., v.The concept of resonance and connection, between resonance energy and molecular, stability., 5.4.7 Limitations of valence bond theory, i. V.B. Theory explains only the formation, of covalent bond in which a shared pair of, electrons comes from two bonding atoms., However, it offers no explanation for the, formation of a co-ordinate covalent bond in, which both the electrons are contributed by, one of the bonded atoms., ii. Oxygen molecule is expected to be, dimagnetic according to this theory. The, two atoms in oxygen molecule should have, completely filled electronic shells which give, no unpaired electrons to the molecule making, it diamagnetic. However, experimentally the, molecule is found to be para-magnetic having, , BF3, , iii. sp hybridization : In this type one 's' and, one 'p' orbital undergo mixing and recasting to, form two sp hybrid orbitals of same energy, and shape. The two hybrid orbitals are placed, at an angle of 1800. Other two p orbitals do, not participate in hybridization and are at right, angles to the hybrid orbitals. For example :, BeCl2 and acetylene molecule HC ≡ CH,, In cross-section, , Schematic representation, of hybrids shown together, , Fig 5.5 : formation of sp hybrid orbitals, , Formation of acetylene molecule : This, molecule contains two carbon and two, hydrogen atoms. Each carbon atom undergoes, sp hybridization. One s and one p orbitals, mix and recast to give two sp hybrid orbitals, arranged at 1800 to other., Out of the two sp hybrid orbitals of carbon, atom one overlaps axially with 's' orbital of, hydrogen while the other sp hybrid orbital, overlaps with sp hybrid orbital of other carbon, atom to form the sp-sp σ bond. The C-H σ, bond is formed by sp-s overlap., , 69

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two unpaired electrons. Thus, this theory fails, to explain paramagnetism of oxygen molecule., , It has been found that the MO theory, gives more accurate description of electronic, structure of molecules., The concept of an orbital is introduced by, quantum mechanics. The quantum mechanical, wave equation is a differential equation, and its solution is called wave function. The, square of the wavefunction gives a measure, of probability of finding an electron within a, cetain region of space of an atom. It is nothing, but an atomic orbital., MO theory does not concentrate on, individual atoms. It considers the molecule as, a whole rather than an atom for the bonding., Accordingly a molecular orbital MOT is the, property of a molecule similar to what an, atomic orbital is to an atom. Hence, molecular, orbital can be depicted through a square of, wavefunction that gives the probability of, finding an electron within a certain region, of space in a molecule. Like atomic orbitals,, molecular orbitals have energy levels and, definite shapes. They also contain maximium, two electrons with opposite spins., 5.5.1 Formation of molecular orbitals :, According to the MO theory the formation, of molecular orbitals from atomic orbitals is, expressed in terms of Linear Combination, of Atomic Orbitals (LCAO). Formation of, molecular orbitals can be understood by, considering the interference of the electron, waves of combining atoms. Interference, of electron waves can be constructives or, destructive i.e. the waves can reinforce each, other or cancel each other. So we can say that., Two atomic orbitals combine in two ways, to form molecular orbitals. 1. By addition, of their wave functions. 2. By subtraction of, their wave functions. Addition of the atomic, orbtials wave functions results in formation of, a molecular orbital which is lower in energy, than atomic orbitals and is termed as Bonding, Molecular Orbital (BMO). Subtraction of the, atomic orbitals results in the formation of a, molecular orbital which is higher in energy, than the atomic orbitals and is termed as, Antibonding Molecular Orbital (AMO)., , Problem 5.4, Explain the formation of BeCl2, Electronic configuration of berylium, 1s, 2s , 2p, Ground state, Excited state, sp Hybridized, sp hybrid orbitals, , pure 'p', orbitals, , Formation of BeCl2 molecule., This molecule has one Be atom and two, chlorine atoms. Electronic configuration of, Be is 1s2, 2s2, 2pz0. The 2s and 2pz orbitals, undergo sp hybridization to form two sp, hybrid orbitals oriented at 1800 with each, other. 2pz orbitals of two chlorine atoms, overlap with the sp hybrid orbitals to form, two sp-p σ bond., , iii. Valence bond theory does not explain the, bonding in electron deficient molecules like, B2H6 in which the central atom possesses less, number of electrons than required for an octet, of electron., 5.5 Molecular orbital theory : You are, familiar with the valence bond theory which, describes the formation of covalent bonds, by overlap of half filled atomic orbitals., This theory is successful to give satisfactory, electronic description for a large number of, molecules. In some cases it gives to incorrect, electronic description. Therefore another, bonding description called Molecular Orbital, Theory (MO) has been introduced., , 70

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the overlap, greater is the electron density, between the nuclei and so stronger is the, bond formed., 5.5.3 Types of molecular orbitals : In, diatomic molecules, molecular orbitals formed, by combination of atomic orbitals are of two, types (i) σ (ii) π., According to this nomenclature a σ, designates a molecular orbital which is, symetrical around the bond axis and π, designates a molecular orbitals those are, unsymetrical., This is clear if we consider a linear, combination of i. two 's' orbitals ii. two p, orbitals., , In bonding molecular orbital the large, electron density is observed between the nuclei, of the bonding atoms than the individual, atomic orbitals. On the other hand in the, antibonding orbital the electron density is, nearly zero between the nuclei., So placing an electron in bonding orbital, leads to formation of a covalent bond. While, placing electron in antibonding orbital makes, the bond unstable., , Antibonding MO, σ* 1s, Node, , Substract, (1s-1s), , Energy of Isolated H atoms, Isolated H atoms, , Fig. 5.5 : formation of MOs, , 5.5.2 Conditions for the combination of, Atomic Orbitals : Atomic orbitals can be, combined linearly which give molecular, orbitals only if following conditions are, fulfilled., i. The combining atomic orbitals must have, comparable energies., So 1s orbitals of one atom can combine, with 1s orbital of another atom but not with, 2s orbital, because energy of 2s orbital is, much higher than that of 1s orbital., ii. The combining atomic orbitals must have, the same symetry along the molecular, axis. Conventially z axis is taken as the, internuclear axis. So even if atomic orbitals, have same energy but their symetry is not, same they cannot combine. For example, 2s, orbital of an atom can combine only with, 2pz orbital of another atom, and not with, 2px or 2py orbital of that atom because the, symmetries are not same. pz is symetrical, along z axis while px is symetrical along x, axis., iii. The combining atomic orbitals must, overlap to the maximum extent. Greater, , Add (1s+1s), Bonding MO, σ 1s, , Fig 5.6 : Linear combination of two s orbitals, , i. The s orbitals are spherically symmetric, along x, y and z axes, combination of two '1s', orbitals centred on two nuclei of two atoms,, led to two σ molecular orbitals which are, symetrical along the bond axis. One of which is, σ bonding and other σ* antibonding (Fig. 5.6), ii. If we consider 'z' to be internuclear axis, then linear combination of pz orbitals from, two atoms can form σ 2pz bonding and, antibonding σ*(2pz) molecular orbitals., , +, πp*, , +, πp, Fig 5.7 : Formation of, π and π* molecular orbitals, , 71

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The px, py orbitals are not symetrical along, the bond axis, they have a positive lobe above, the axis and negative lobe below the axis. Hence, linear combination of such orbitals leads to the, formation of molecular orbitals with positive, and negative lobes above and below the bond, axis. These are designed as π bonding and π, antibonding orbitals. The electron density, in such π orbitals is concentrated above and, below the bond axis. The π molecular orbitals, has a node between the nuclei (Fig. 5.7), 5.5.4 Energy levels and electronic, configuration : We have seen earlier that on, combination of two 1s orbitals; two molecular, orbitals σ 1s and σ* 1s are formed. Similarly, two 2s orbitals yield σ* 2s and σ 2s molecular, orbitals., The three 2p orbitals on one atom combine, with three 2p orbitals on another atom forming, six molecular orbitals, designated as σ 2pz,, πpx, πpy and σ *2pz, π*px, π*py, The molecular orbitals in homonuclear, diatomic molecules have been determined, experimentally., For diatomic molecules of second row elements, except O2 and F2 the rank order of energies is, σ 1s < σ* 1s < σ 2s < σ* 2s < π2px = π2py > <, σ 2pz < (π*2py = π*2px) < σ* 2pz, For O2 and F2 increasing order of energies was, found to be :, σ 1s < σ* 1s < σ 2s < σ* 2s < σ2pz < (π2px =, π2py) < (π*2px = π*2py) < σ* 2pz, The sequence of filling the molecular orbitals, give electronic configuration of molecules. The, electronic configuration of molecules provides, the following information., a. Stability of molecules : If the number of, electrons in bonding MOs is greater than the, number in antibonding MOs the molecule is, stable., b. Magnetic nature of molecules : If all MOs, in a molecule are completely filled with two, electrons each, the molecule is diamagnetic, (i.e. repelled by magnetic field)., However, if at least one MO is half, filled (having one electron), the molecule is, paramagnetic (i. e. attracted by magnetic field)., , c. Bond order of molecule : The bond order, of the molecule can be calculated from the, number of electrons in bonding (Nb) and, antibonding MOs (Na)., N - Na, Bond order = b, 2, 5.5.5 Key ideas of MO theory :, i. MOs in molecules are similar to AOs of, atoms. Molecular orbital describes region, of space in the molecule representing the, probability of an electron., ii. MOs are formed by combining AOs of, different atoms. The number of MOs, formed is equal to the number of AOs, combined., iii. Atomic orbitals of comparable energies, and proper symetry combine to form, molecular orbitals., iv MOs those are lower in energy than the, starting AOs are bonding (σ) MOs and, those higher in energy are antibonding (σ), MOs., v. The electrons are filled in MOs begining, with the lowest energy., vi. Only two electrons occupy each molecular, orbital and they have opposite spins that, is, their spins are paired., vii. The bond order of the molecule can be, calculated from the number of bonding, and antibonding electrons., 5.5.6 MO description of simple diatomic, Molecules, 1. Hydrogen molecule.-H2, , Fig. 5.8 : MO diagram for H2 molecule, , 72

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O2 molecule is paramagnetic due to presence, of 2 unpaired electrons in the π* orbitals., , Bond angle can be determined, experimentally using spectroscopic techniques., Value of bond angle gives an idea about the, arrangement of orbitals around the central, atom and the shape of the molecule., , 5. F2 molecule :, , Table 5.5 bond angles of some molecules, Molecule, Bond of angle, 1040281, 1, H2O, 2, NH3, 107, 3, , F, , F-F, , Molecular, Atom, Configuration Configuration, , BF3, , 120, , 5.6.2 Bond Enthalpy : The amount of, energy required to break one mole of bond of, one type, present between two atoms in the, gaseous state is termed as Bond Enthalpy. For, diatomic molecules the dissociation energy, is the same as bond enthalpy. Bond enthalpy, for H2 molecule is 435.8 kJ mol-1. The bond, enthalpy is a measure of strength of the bond, between two atoms and can be measured, experimentally. N-N bond in N2 is stronger, than the O-O bond in O2. Larger is the bond, dissociation energy stronger is the bond in, the molecule. For heteronuclear diatomic, molecule HCl the bond enthalpy was found to, be 431.0 kJ mol-1., In case of polyatomic molecules the bond, enthalpy and bond dissociation energy are not, identical. Bond enthalpy is the average of the, sum of successive bond dissociation energies., For example dissociation of water., H2O(g), H(g) + OH(g) ∆H1 = 502 kJ mol-1, OH (g), H (g) + O (g) ∆H2 = 427 kJ mol-1, Average bond enthalpy of O-H bond in, H2O :, 502 + 427, = 464.5 kJmol-1., ∆aH =, 2, In both the above equations the bond, between O and H is broken but the amount of, energy required to break the bond is different,, i.e. enthalpies of two O-H bonds in water are, different., This difference arises due to the fact that, cleavage of the two O-H bonds in water takes, place in two steps. In the first step one O-H, bond breaks leaving behind OH radical. Now, the electronic enviornment around oxygen to, , F, Atom, Configuration, , Bond Order = 1, , Fig. 5.12 : MO diagram for F2, , F : 1s2 2s2 2p5, 9, , The electronic configuration of F2 molecule, (18 electrons) is (σ 1s)2 (σ*1s)2 (σ 2s)2 (σ*2s)2, (σ2pz)2(π2px)2 (π2py)2 (π*2px)2 (π*2py)2, 10 - 8, =1, 2, F2 molecule is diamagnetic, , Bond order of F2 molecule =, , Can you tell?, Why He2 molecule is not stable ?, Draw MO diagram for it, 5.6 Parameters of covalent bond : A covalent, bond is characterised by different parameters., These parameters help to understand how, strong is the bond between the two atoms,, what is the distance between them and what is, the shape of the molecule., 5.6.1 Bond angle : The electrons which, participate in bond formation are present, in orbitals. The angle between the orbitals, holding the bonding electrons is called the, bond angle., , Bond angle, , 74

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which hydrogen is attached is different than, that around oxygen in H2O molecule and, this causes a change in the successive bond, dissociation energy., Same difference is observed in enthalpy, values of O-H bond in C2H5OH. Oxygen here, is attached to C2H5 group therefore hydrogen of, O-H is in different environment than hydrogen, of H-O-H., In the same way, the bond enthalpy value, of any covalent bond is slightly different for, each bond of that kind in a given molecule and, also different molecules. The average values, of bond enthalpy, ∆aH , are determined from, the experimentally measured values of large, number of compounds containing a particular, bond. Average bond enthalpy data are given, in Table 5.4. In general stronger bond implies, larger bond enthalpy., , Table 5.7 Average bond lengths for some single,, double and triple bonds, , Type, of, bond, , Covalent Type of, Covalent, bond, bond, bond, length, length, (pm), (pm), O-H, 96, H2(H-H), 74, C-H, 107, F2(F-F), 144, N-O, 136, Cl2(Cl-Cl), 199, C-O, 143, Br2(Br-Br), 228, C-N, 143, I2(I-I), 267, C-C, 154, N2(N≡N), 109, C=O, 121, O2(O=O), 121, N=O, 122, HF (H-F), 92, C=C, 133, HCl, 127, (H-Cl), C=N, 138, HBr, 141, (H -Br), C≡N, 116, HI (H-I), 160, C≡C, 120, Each atom of the bonded pair contributes, to the bond length. Bond length depends upon, the size of atoms and multiplicity of bonds., It increases with increase in size of atom, and decreases with increase in multiplicity of, bond. It is generally measured in picometre, 0, (pm) or in Angstrom unit ( A ) − > = > ≡ >, so, C - C single bond is longer and C ≡ C triple, bond is shorter., Some typical average bond lengths of, C - C single double and triple bond and others, are shown in table 5.4., 5.6.4 Bond Order : According to the Lewis, theory the bond order is equal to the number, of bonds between the two atoms in a molecule., The bond order in H2, O2 and N2 is 1, 2 and 3, respectively. Isoelectronic molecules and ions, have identical bond order. For example N2, CO, and NO+ each have bond order 3. F2 whereas, O22- has bond order 1. Stabilities of molecules, can be determined by knowing the bond, order. As bond order increases, bond enthalpy, increases and bond length decreases., , Do you know ?, Among diatomic molecules the bond, order and bond enthalpy of N2 is highest., Bond order = 3, Bond enthalpy = 946 kJ mol-1, Table 5.6 Bond enthalpies, , Bond, C-H, N-H, O-H, C-C, C- N, C-O, C - Cl, C - Br, O-O, C=C, C≡C, C=O, C≡N, , ∆aH / kJ mol-1, 400 - 415, 390, 460-464, 345, 290 -315, 355 - 380, 330, 275, 175 - 184, 610 - 630, 835, 724 - 757, 854, , 5.6.3 Bond length : Bond length implies the, equilibrium distance between the nuclei of two, covalently bonded atoms in a molecule. Bond, lengths are measured by X-ray and Electron, diffraction techniques., , 75

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1 D = 3.33564 × 10-30 Cm, C : coulomb ; m : meter, Dipole moment being a vector quantity is, represented by a small arrow with the tail on, the positive centre and head pointing towards, the negative centre., δ+, H, F-δ (µ =1.91 D). The crossed arrow, (, ) above the Lewis structural indicates, the direction of the shift of electron density, towards the more electronegative atom., Dipole moments of polyatomic molecules, : Each polar bond in a polyatomic molecule, has its own dipole. The resultant dipole of, the molecule is decided by (i) shape of the, molecule that is the spatial arrangement of, bonds (ii) contribution of the individual dipoles, and those of the lone pair of electrons, if any, The dipole moment of polyatomic molecule, is the vector sum of the dipole moments of, various bonds and lone pairs., Consider BeF2 and BF3., BeF2 is a linear molecule and the dipoles are in, opposite direction and are of equal strengths,, so net dipole moment of BeF2 = 0, , 5.6.5 Polarity of a Covalent Bond : Covalent, bonds are formed between two atoms of the, same or different elements. Thus covalent bond, is formed between atoms of some elements, of H-H, F-F, Cl-Cl etc. The shared pair of, electrons is attracted equally by both atoms, and is situated midway between two atoms., Such covalent bond is termed as Nonpolar, Covalent bond., H : H H-H, electron pair at the centre, Non polar, covalent bond, When a covalent bond is formed between, two atoms of different elements and have, different electronegativities the shared electron, pair does not remain at the centre. The electron, pair is pulled towards the more electronegative, atom resulting in the separation of charges. This, give rise to as Dipole. The more electronegative, atom acquires a partial -ve charge and the, other atom gets a partial +ve charge. Such a, bond is called as polar covalent bond. The, examples of polar molecules include. HF, HCl, etc., H : F δ+H−Fδ- H-F, , Polar covalent bond, Fluorine is more electronegative than, Hydrogen therefore the shared electron pair is, more towards fluorine and the atoms acquire, partial +ve and -ve charges, respectively., Polarity of the covalent bond increases as the, difference in the electronegativity between the, bonded atoms increases. When the difference, in elctronegativities of combining atom is, about 1.7 ionic percentage in the covalent, bond is 50%., , F, Be, F, +, =0, Bond dipoles , net dipole in BeF2 = 0, BF3 is angular, In BF3 bond angle is 1200 and molecule is, symetrical. The three B-F bonds are oriented, at 1200 with each other and sum of any two is, equal and opposite to the third therefore sum, of three B-F dipoles = 0., F, , F, B, +, =0, F, , net dipole in BF3 = 0, Bond dipoles, , Can you tell?, Which molecules are polar ?, H-I, H-O-H, H-Br, Br2, N2, I2, NH3, , In case of angular molecules both lone, pairs and electonegativity difference contribute, to dipole moment., Lone pairs and dipole moment : In some, molecules the central atom has unshared or, lone pairs of electrons. These lone pairs also, contribute to overall dipole of the molecule., Nitrogen in NH3 and Oxygen in H2O posses, , 5.7 Dipole moment, Definition : Dipole moment (µ) is the product, of the magnitude of charge and distance, between the centres of +ve and -ve charges., µ=Q×r, Q : charge ; r : distance of separation., unit of dipole moment is Debye (D), , 76

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lone pairs, these reinforce the dipoles due to, N-H and O-H bonds. Both these molecules are, highly polar., δ-, , In CHCl3 the dipoles are not equal and, do not cancel hence CHCl3 is polar with a non, zero dipole moment., CHCl3 H, , δ-, , δ-, , Oδ-, , Nδδ+, , Cl, , Hδ+, , H, Hδ+ Hδ+ Hδ+, µ= 1.48 D, µ= 1.85 D, Nitrogen has only one lone pair while, oxygen has two lone pairs which reflects in the, higher dipole moment of water., Consider NH3 and NF3, Both have pyramidal shape with a lone, pair of electrons on nitrogen atom. Here, hydrogen is less electronegative while,, fluorine is more electronegative than nitrogen., The resultant dipole moment of NH3 is 4.90 ×, 10-30 Cm while that of NF3 is 0.80 × 10-30 Cm., This difference is because in case of NH3 the, orbital dipole due to lone pair is in the same, direction as that of resultant dipole moment of, N-H bonds hence gets added whereas in NF3,, the orbital moment is in the direction opposite, to the resultant dipole moment of three N-F, bonds. The orbital dipole because of lone, pair decreases the effect of the resultant N-F, bond moments, which results in its low dipole, moment., , Hδ+, , δ+, Hδ+ H, , Cl, , Dipole moments of some molecules are, shown in table 5.8., Table 5.8 dipole moments and geometry of, some molecules, , Types of Example Dipole, molecule, moment, µ (D), 1.91, Molecule HF, AB, HCl, 1.03, HBr, 0.79, H2, 0, Molecule H2O, 1.85, AB2, H 2S, 0.95, CO2, , NH3 molecule, (4.90 × 10-30 Cm), , Nδ+, Fδ-, , Fδ-, , NF3 molecule, (0.80 × 10-30 Cm), , Cl, , µ = 1.04, , Resultant, dipole, moment, , Nδ-, , C, , FδResultant, dipole, moment, , Geometry, , linear, linear, linear, linear, bent, bent, , 0, , linear, , Molecule NH3, AB3, , 1.47, , trigonal, pyramidal, , NF3, , 0.23, , BF3, , 0, , Molecule CH4, AB4, , 0, , trigonal, pyramidal, trigonal, planar, tetrahedral, , CHCl3, , 1.04, , tetrahedral, , CCl4, , 0, , tetrahedral, , 5.8.7 Covalent character of ionic bond :, Several ionic compounds possess partial, covalent character and show properties, similar to covalent compounds. For example, LiCl is ionic but it is more soluble in organic, C, , solvents than water. To explain the partial, H, H, covalent character in ionic bonds Fajans put, H, forth the following rules :, CH4 : The central atom carbon has no lone, pair and the molecule is non-polar., H, , 77

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Now consider the example of O3. It is the, resonance hybrid of the following structures., I, II, , 1. The smaller size of the cation and larger the, size of the anion renders, greater covalent, character to ionic bond. For example Li⊕Cl, is more covalent than Na⊕Cl. Similarly, Li⊕I is more covalent than Li⊕Cl ., 2. Greater the charge on cation, more is, covalent character of the ionic bond. For, example, covalent character of AlCl3,, MgCl2 and NaCl decreases in the following, order Al3⊕(Cl )3> Mg2⊕(Cl )2 > Na⊕Cl, 3. A cation with the outer electronic, configuration of the s2p6d10 type possess a, greater polarising power compared to the, cation having the same size and same charge, but having outer electronic configuration of, s2p6 type., This is because d- electrons of the s2 p6, d10 shell screen nuclear charge less effectively, compared to s and p electrons of s2p6 shell., Hence the effective nuclear charge in a cation, having s2 p6 d10 configuration is greater than, that of the one having s2p6 configuration., For example : Cu⊕Cl is more covalent than, Na⊕Cl . Here (Cu⊕ 1s2 2s22p6 3s23p63d10 ; Na⊕, 1s2 2s22p6), 5.8 Resonance : Many polyatomic molecules, can be represented by more than one Lewis, structures. Consider for example, three, structures written for CO22 . Each structure, differs from the other only in the position of, electrons without changing positions of the, atoms., O, C, , O, , 121, , ⊕1, , 48, , ⊕, , pm, , 148, , 128, , O, , pm, , O, III, , 128, , pm 121, p, , m, , pm, , O, , Resonance Hybrid, , Fig. 5.13 Resonance in the O3 molecule, , (structure I and II are canonical forms while, structure III is the resonance hybrid.), Resonance Energy :, We have seen that many polyatomic, ions and molecules can be represented by, different canonical forms and each form has, a different energy. Energy of the resonating, forms is different from the most stable, structure, resonance hybrid. The difference, in energy of the stable contributing structure, and the resonating forms is usually defined as, Resonance energy., To summarize it can be stated that, a. Energy of the resonance hybrid structure is, less than the energy of any single canonical, form hence, resonance stabilizes certain, polyatomic molecules or ions., b. The average of all resonating structures, contributes to overall bonding characteristic, features of the molecule., This will be clear from the example of ozone., Ozone can be represented by two cannonical, forms (shown earlier) I and II. III is the, resonance hybrid. The energy of III is less, than that of I and II., , O, , C, C, O O, O, O, None of these individuals structures is, adequate to explain the properties. The actual, structure of CO32 is a combination of three, Lewis structures and is called as the resonance, hybrid. Resonance signifies that there is more, than one possible way in which the electrons, can be assigned in a Lewis structure. The, various structures are called canonical forms., O, , pm, , O, , 78

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Exercises, 1. Select and write the most appropriate, alternatives from the given choices., A. Which molecule is linear?, a. SO3 , b. CO2, c. H2S , d. Cl2O, B. When the following bond types are, listed in decreasing order of strength, (strongest first). Which is the correct, order ?, a. covalcnt > hydrogen > vander waals’, b. covalent > vander waal’s > hydrogen, c. hydrogen > covalent > vander waal’s, d. vander waal’s > hydrogen > covalent., C. Valence Shell Electron Pair repulsion, (VSEPR) theory is used to predict, which of the following :, a. Energy levels in an atom, b. the shapes of molecules and ions., c. the electrone getivities of elements., d. the type of bonding in compounds., D. Which of the following is true for, CO2?, C=O bond, CO2 molecule, A polar, non-polar, B non-polar, polar, C polar, polar, D non-polar, non-polar, E. Which O2 molecule is pargmagnetic. It, is explained on the basis of :, a. Hybridisation, b. VBT, c. MOT , d. VSEPR, F. The angle between two covalent bonds, is minimum in:, a CH4, b. C2H2, c. NH3 , d. H2O, 2. Draw, A. Lewis dot diagrams for the folowing, a. Hydrogen (H2), b. Water (H2O), c. Carbon dioxide (CO2), d. Methane (CH4), e. Lifthium Fluoride (LiF), B. Diagram for bonding in ethene with sp2, Hybridisation., C. Lewis electron dot structures of, a. HF, b. C2H6 c. C2H4, d. CF3Cl, e. SO2, D. Draw orbital diagrams of, a. Fluorine molecule, b. Hydrogen fluoxide molecule, , 3. Answer the following questions, A. Distinguish between sigma and pi bond., B. Display electron distribution around the, oxygen atom in water molecule and, state shape of the molecule, also write, H-O-H bond angle., C. State octel rule. Explain its inadequecies, with respect to, a. Incomplete octel b. Expanded octel, D. Explain in brief with one example:, a. Ionic bond b. covalend bond, c. co-ordinate bond, E. Give reasons for need of Hybridisation, F. Explain geometry of methane molecule, on the basis of Hybridisation., G. In Ammonia molecule the bond angle, is 1070 and in water molecule it is, 104035/, although in both the central, atoms are sp3 hybridized Explain, H. Give reasons for:, a. Sigma (σ)bond is stronger than Pi, (π)bond., b. HF is a polar molecule, c. Carbon is a tetravalent in nature., I. Which type of hybridization is present, in ammonia molecule? Write the, geometry and bond angle present in, ammonia., J. Identify the type of orbital overlap, present in, a. H2 , b. F2 c. H-F molecule., Explain diagramatically., K. F-Be-F is a liner molecule but H-O-H, is angular. Explain., L. BF3 molecule is planar but NH3, pyramidal. Explain., M. In case of bond formation in Acetylene, molecule :, a. How many covalend bonds are, formed ?, b. State number of sigma and pi bonds, formed., c. Name the type of Hybridisation., N. Define :, a. Bond Enthalpy, b. Bond Length, O. Predict the shape and bond angles in, the following molecules:, a. CF4, b. NF3, c. HCN, d. H2S, , 79

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4., , Using data from the Table, answer the, following :, C2H6, C2H4, C2H2, Examoles, Ethane Ethene Ethyne, , Structure, , -C - C -, , Type of bond, single, between carbons, Bond length, 0.154, (nm), Bond Enthalpy, kJ mol-1, a., b., c., d., 5., , 348, , C=C, , -C ≡ C -, , double, , triple, , 0.134, , 0.120, , 612, , 837, , 7. Answer in one sentence:, A. Indicate the factor on which stalility of, ionic compound is measured?, B. Arrange the following compounds on the, basis of lattice energies in decreasing, (descending) order: BeF2, AlCl3, LiCl,, CaCl2, NaCl, C. Give the total number of electrons, around sulphur (S) in SF6 compound., D. Covalant bond is directional in nature., Justify., E. What are the interacting forces present, during formation of a molecule of a, compound ?, F. Give the type of overlap by which pi, (π) bond is formed., G. Mention the steps involved in, Hybridization., H. Write the formula to calculate bond, order of molecule., I. Why is O2 molecule paramagnetic?, J. What do you mean by formal charge ?, Explain its significance with the help of, suitable example., , What happens to the bond length when, unsaturation increases?, Which is the most stable compound?, Indicate the relation between bond strength, and Bond enthalpy., Comment on overall relation between, Bond length, Bond Enthalpy and Bond, strength and stability., Complete the flow chart, Molecular, Formula, , Structural, Formula, , Shape/, Geometry, , BeCl2, , Bond, angle, , Activity :, , 1800, O=C=O -, , Practice the bonding structure with the, help of structure set of chemistry., , Linear, , C2H2, , 6. Complete the following Table, Type of, Molecule, Hybridisation, -, , CH4, NH3, H2O, BF3, C2H4, BeF2, C2H2, , sp3, sp2, sp, , Type of bonds, 4C-H, 4σ bonds, 3N-H, 3σbonds, 1 lone pair, 2 Be-F, (3σ+2π), 1C-C σ, 2C-H σ, 2C-C π, , 80, , Geometry, , Bond angle, , Tetrahedral, , -, , angular, Linear, -, , 104.50, 1200, 1200, -

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6. Redox Reactions, 6.1 Introduction, , Oxidants/ Oxidising agent : A reagent/, substance which itself undergoes reduction and, causes oxidation of another species is called, oxidant /oxidising agent. Now consider some, more examples., Mg(s) + F2 (g), Mg F2(s), (6.5), Mg (s) + S(s), MgS (s), (6.6), The above reactions are also examples, of oxidation though no oxygen is involved, and thus scope of oxidation can be expanded., Combination with electronegative element is, oxidation. Oxidation can also be looked upon, as the removal of electropositive element., For example, Hg2Cl2 (s), HgCl2 (s) + Hg(s), (6.7), Now let us consider some examples of reduction., a. Removal of oxygen from mercuric oxide, 2 HgO (s), 2 Hg (l) + O2 (g), (6.8), b. Removal of electronegative element from, FeCl3 as in, 2 FeCl3 + H2 (g), 2FeCl2 (aq) + 2 HCl, (6.9), c. Addition of hydrogen, CH2 = CH2 (g) + H2 (g), CH3 - CH3 (g), (6.10), d. Addition of an elctropositive element, 2 HgCl2(aq) + SnCl2 (aq), Hg2Cl2(s) +, SnCl4 (aq), (6.11), In eq. (6.8) there is removal of oxygen, from mercuric oxide Eq (6.9) shows removal of, electronegative element from FeCl3 Eq (6.10), involves addition of hydrogen. Equation (6.11), involves addition of an electropositive element, Hg to HgCl2. All these reactions represent, reduction., Reductant / reducing agent : A reagent /, reducing agent is defined as a substance/, reagent which itself undergoes oxidation, bringing about the reduction of another, species. Now consider again equation (6.11)., The equation (6.11) involves simultaneous, oxidation and reduction. In this reaction HgCl2, is reduced to Hg2Cl2 and SnCl2 is oxidized to, SnCl4. Hence it is redox reaction., , Can you tell?, 1. Why does cut apple turn brown when, exposed to air ?, 2. Why does old car bumper change colour?, 3. Why do new batteries become useless, after some days ?, Redox is an abbreviation used for the, terms 'oxidation and reduction'. A large, number of phenomena such as respiration,, rusting, combustion of fuel involve redox, reactions., Can you recall?, 1. What is combustion reaction?, 2. Write an equation for combustion of, methane., 3. What is the driving force behind reactions, of elements?, 6.1.1 Classical ideas of redox reactions, Classically oxidation refers to combination of, an element or a substance with oxygen., For example, Oxidation of carbon, CO2 (g), (6.1), C (s) + O2 (g), Oxidation of magnesium, 2 Mg + O2, 2 MgO(s), (6.2), In reaction (6.1) and (6.2) the carbon, and magnesium are oxidized on reacting with, oxygen. Now consider the reaction :, 2 Fe2O3 + 3 C (s), 4 Fe (s) + 3 CO2 (g), , (6.3), In this reaction there is removal of oxygen, from Fe2O3. Hence it is a reduction reaction., Further, 2H2S (g) + O2 (g), 2 S (s) + 2 H2O (l), (6.4), In this reaction there is removal of, hydrogen and is also called oxidation. Here, the sulfur in H2S loses hydrogen and undergoes, oxidation while oxygen accepts hydrogen and, undergoes reduction., , 81

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Key points, Oxidation it is defined as:, a. addition of oxygen., b. addition of electronegative element., c. removal of hydrogen., d. removal of electropositive element., e. loss of electrons by any species., Reduction it is defined as:, a. removal of oxygen., b. removal of electronegative element., c. addition of hydrogen., d. addition of electropositive element., e. gain of electrons by any species., 6.1.2 Redox reaction in terms of electron, transfer : Redox reaction can be described as, electron transfer as shown below., Mg + 1 O2, Mg2⊕ + O2, (6.12), 2, Mg + F2, Mg2⊕ + 2F, (6.13), Development of charges on the species, produced suggest the reactions 6.12 and 6.13, can be written as :, , oxidation reaction and that involving gain of, electrons is called reduction. Thus eq. (6.14) is, oxidation, eq. (6.15) is reduction and eq. (6.16), is a redox reaction., Key points : Oxidant / oxidizing agent : A, reagent / substance which itself undergoes, reduction and causes oxidation of another, species is called oxidant or oxidizing agent., This is an electron acceptor., Reductant / Reducing agent : A reagent /, reducing agent is defined as a substance /, reagent which itself undergoes oxidation and, brings about reduction of another species. A, reductant is electron donor., Displacement reactions can also be looked, upon as redox reactions. In such reactions an, ion (or atom) in a compound is replaced by an, ion (or on atom) of another element., X + YZ, XZ + Y, The reaction (6.16) is displacement reaction., Try this, , Loss of 2e, , Mg(s) + O2(g), , Complete the following table of displacement, reactions. Identify oxidising and reducing, agents involved., , Mg2⊕ + O2, Gain of 2e, , Loss of 2e, , Mg(s) + F2(g), , Reactants, (aq), Zn (s) +, , Mg2⊕ + 2F, Gain of 2e, , Cu (s) + 2 Ag+ (aq), +, , When Mg is oxidised to MgO, the neutral, Mg atom loses electrons to form Mg2⊕ in, MgO. The elemental oxygen gains electrons, and forms O2 in MgO., Each of the above steps represents a half, reaction which involves electron transfer (loss, or gain). Sum of these two half reactions or the, overall reaction is a redox reaction. Now, consider the following half reactions., Fe(s), Fe 2⊕(aq) + 2e, (6.14), Cu2⊕ (aq) + 2e, Cu(s), (6.15), Fe(s) + Cu2⊕ (aq), , Products, (aq) + Cu (s), +, Co (aq) + Ni (s), 2+, , 6.2 Oxidation number : Description of redox, reaction in terms of electron transfer suggest, involvement of only ionic species in it. But, many reactions involving only covalent bonds, also fulfil the classical definition of oxidation, and reduction. For example:, 2H2 (g)+ O2 (g), 2H2O (l), (6.17), H2 (g) + Cl2 (g), 2HCI(g), (6.18), Eq (6.17) represents oxidation of H2 as it is, combination with oxygen. An electronegative, element Cl is added to H2, and therefore,, eq (6.18) also represents oxidation of H2. As, products of both these oxidations are polar, covalent molecules, there is an electron shift, rather than complete electron transfer from, one species to the other., , Fe 2⊕(aq) + Cu(s), , (6.16), In the half reaction (6.14) Fe acts as a reducing, agent whereas Cu 2⊕ acts as oxidising agent, which accepts electrons from Fe. The half, reaction involving loss of electrons is called, , 82

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A practical method based on oxidation, number is developed to describe all the redox, reactions, which are either ionic involving, complete electron transfer or covalent which, refer to shift of electrons. In this method the, electron pair in a covalent band is assumed to, belong to more electronegative element, that, is, it shifts completely to more electronegative, element., Oxidation number of an element in, a compound is defined as the number of, electrical charges it carries (assuming complete, electron transfer in the case of covalent bond)., The following rules have been formulated to, determine the oxidation number of an element, in a compound., 6.2.1 Rules to assign oxidation number, 1. The oxidation number of each atom of an, element in free state is zero. For example :, each atom in H2, Cl2, O3, S8, P4, O2, Ca, etc., has oxidation number of zero., 2. The oxidation number of an atom in a, monoatomic ion is equal to its charge. Thus, alkali metals have oxidation number +1 in, all their compounds (NaCl, KCl, etc.)., Alkaline earth metals have oxidation, number +2 in all their compouds (CaCO3,, MgCl2, etc.). Al is considered to have +3 as, its oxidation number in all its compounds., 3. The oxidation number of O is usually -2 in, all of its compounds except in peroxide or, peroxide ion where it has oxidation number, of -1 and in superoxide each oxygen has, oxidation number -1/2., Ca-O H-O-O-H, (O-O), KO2, +2 -2, , +1 -1 -1 +1, , -1 -1, , 5. The oxidation number of F is -1 in all of its, compounds. The other halogens Cl, Br and I, usually exhibit oxidation number of -1 in, their halide compounds. However in, compounds in which halogens Cl, Br and I, are bonded to oxygen, oxidation number of, halogens is +1 For example,, H-F, KBr Cl-O-Cl, H-O-Cl, +1-1, , +1 -2 +1, , +1 -1, , +1 -2 +1, , +1 -2 +1, , 6. The algebraic sum of oxidation numbers of, all the atoms in a neutral molecule is zero., 7. The algebraic sum of oxidation numbers of, all the atoms in a polyatomic ion is equal to, net charge of the ion., 8. When two or more atoms of an element are, present in molecule or ion, oxidation number, of the atom of that element will be average, oxidation number of all the atoms of that, element in that molecules., By applying rules 1 to 5 it is possible to, determine oxidation number(s) of atoms of, various elements in molecules or ions. For, doing this the rules 6, 7 and 8 are useful., Problem 6.1: Deduce the oxidation number, of S in the following species:, ii. SO42, i. SO2 , Solution:, i. SO2 is a neutral molecule :, ∴Sum of oxidation number of all atom of, SO2 = 0 = (oxidation number of S), + 2 x (oxidation number of O), ∴ 0 = (oxidation number of S) + 2 x (-2), ∴ Oxidation number of S in SO2, = 0 – (2x (-2)) = 0 – (-4) = + 4, 2, ii. SO4 is an ionic species., ∴ Sum of oxidation number of all atom of, SO42 = -2, = Oxidation number of S + 4 x (Oxidation, number of O), ∴ Oxidation number of S in SO42, = -2 -4 x (-2) = -2+8 = + 6, , +1 -1/2, , In OF2 oxidation number of oxygen is +2., 4. The oxidation number of H atom is either, +1 or -1. When the H atom is bonded to, nonmetals, its oxidation number is +1. When, it is bonded to metals, it possesses oxidation, number of -1., (O-H)− H-O-H, Li-H H-Ca-H, -2 +1, , +1-1, , Remember, Oxidation number of an element can be, positive or negative and a whole number, or a fraction., , -1 +2 -1, , 83

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6.2.2 Stock notation : Oxidation number, represents the oxidation state of an atom and, is also denoted by Roman numeral in, parentheses after the chemical symbol of the, concerned element in the molecular formula., This representation is called Stock notation, after the German Scientist Alfred Stock. For, example :, 1. Au1⊕ Cl1, Au(I)Cl, 3⊕, 1, 2. Au Cl3, Au(III)Cl3, 4⊕, 1, 3. Sn Cl4, Sn(IV)Cl4, 2⊕, 1, 4. Sn Cl2, Sn(II)Cl2, 5. Mn4⊕O22, Mn(IV)O2, The Stock notation is used to specify the, oxidation number of the metal. The idea of, oxidation number is very convenient to define, oxidation, reduction and the substances like, oxidizing agent (oxidant) and reducing agent, (reductant) of the redox reaction., 6.2.3 Redox reaction in terms of oxidation, number :, Oxidation : An increase in the oxidation, number of an element in a given substance., Reduction : A decrease in the oxidation, number of an element in a given substance., Oxidizing agent : A substance which increases, the oxidation number of an element in a given, substance, and itself undergoes decrease in, oxidation number of a constituent element., Reducing agent : A substance that lowers the, oxidation number of an element in a given, substance, and itself undergoes an increase in, the oxidation number of a constituent element, in it., , (+1) + oxidation number of Mn + 4 x (-2) = 0, oxidation number of Mn + 1 - 8 = 0, oxidation number of Mn - 7 = 0, oxidation number of Mn = +7, b. K2Cr2O7, 1. oxidation number of K =+1, 2. oxidation number of O = -2, 3. sum of oxidation number of all atoms = 0, \ 2 x oxidation no. of K + 2x oxidation, number of Cr +7x oxidation number of O = 0, \ 2 x (+1) + 2 x oxidation number of Cr + 7, x (−2) = 0, \ +2 +2 x oxidation number of Cr - 14 = 0, \ 2x oxidation number of Cr + 2 - 14 = 0, \ 2x oxidation number of Cr - 12 = 0, \ 2x oxidation number of Cr = +12, \ oxidation number of Cr = +12 /2, \ oxidation number of Cr = +6, c. Ca3(PO4)2, 1. oxidation number of Ca = +2, (alkaline earth metal ion), 2. oxidation number of O = -2, 3. sum of oxidation number of all atoms = 0, \ 3 x O.N. of Ca + 2 x oxidation number of, P + 8 x oxidation number of O = 0, \ 3 x(+2) + 2 x oxidation number of P, + 8 x (-2) = 0, \ (+6) + 2 x oxidation number of P -16 = 0, \ 2 x oxidation number of P -16 + 6 = 0, \ 2 x oxidation number of P -10 = 0, \ 2 x oxidation number of P = +10, \ oxidation number of P = +10/2, \ oxidation number of P = + 5, , Problem 6.2 : Assign oxidation number to, each element in the following compounds, or ions., a. KMnO4, b.K2Cr2O7, c. Ca3(PO4)2, Solution :, a. KMnO4, 1. Oxidation number of K = +1, 2. Oxidation number of O = -2, 3. Sum of the oxidation numbers of all, atoms = 0, \ Oxidation no. of K + oxidation of Mn, + 4 x oxidation number of O = 0, , Problem 6.3 : Assign oxidation number to, the atoms other than O and H in the, following species., i. SO32 ii. BrO3 iii. ClO4 iv. NH4⊕ v. NO3, vi. NO2 vii. SO3 viii. N2O5, Solution : The oxidation number of O atom, bonded to a more electropositive atom is -2, and that of H atom bonded to electronegative, atom is +1. Using these values the oxidation, numbers of atoms of the other elements in a, given polyatomic species are calculated., , 84

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i. SO32, - 2 = oxidation number of S, + 3 x (oxidation number of O), ∴ Oxidation number of S = - 2 - 3 (-2), =-2+6=4, ii. BrO3, - 1 = oxidation number of Br, + 3 x (oxidation number of O), ∴ Oxidation number of Br = - 1 - 3 (-2), =-1+6=5, Similarly the oxidation number in the, remaining species are found to be, iii. Cl in ClO4 : +7 iv. N in NH4⊕ : -3, v. N in NO3 : +5 vi. N in NO2 : +3, vii. S in SO3 : +6 viii. N in N2O5 : +5, , Do you know ?, Some elements in a particular, compound may possess fractional oxidation, number. For example : C3O2, Br3O8,, Na2S4O6, C8H18, etc. In these compounds, oxidation number of C, Br, S, C are 4/3,, 16/3, 2.5, 9/4, respectively. These oxidation, numbers are actually the average oxidation, number of all the atoms of elements in that, compound. Different atoms of the element, in such species exhibit different oxidation, states. For example : Tertra thionate ion has, two S atoms with oxidation number +5 and, two with zero (0). Therefore, the average, oxidation number of S in these species is, 10/4 = 2.5, O+5 0 0 O+5, O - S - S* - S* - S - O- structure of S4O62O, O, (tetrathionate ion), , Problem 6.4 : Identify whether the following, reactions are redox or not. State oxidants, and reductants therein., a. 3H3AsO3(aq) + BrO3 (aq), Br (aq) + 3H3AsO4(aq), 1. Write oxidation number of all the atoms, of reactants and products by doing required, calculations. (a) stands for known O.N. and, (b) for calculated O.N., 3H3AsO3 + BrO3, (a) 3 x(+1) 3 x(-2), (b), , +3, , 6.3 Balancing of redox reactions : Two, methods are used to balance chemical equation, for redox processes : Oxidation number, method and Half reaction method or Ion, electron method., 6.3.1 The Oxidation number method is, illustrated in the following steps :, Step I : Write the unbalanced equation for, redox reaction. Balance the equation for all, atoms in the reactions, except H and O., Identify the atoms which undergo change in, oxidation number and by how much. Draw the, bracket to connect atoms of the elements that, changes the oxidation number., Step II : Show an increase in oxidation number, per atom of the oxidised species and hence the, net increase in oxidation number. Similarly, show a decrease in the oxidation number per, atom of the reduced species and the net, decrease in oxidation number. Determine the, factors which will make the total increase and, decrease equal. Insert the coefficients into the, equation., Step III : Balance oxygen atoms by adding, H2O to the side containing less O atoms, One, H2O is added for one O atom. Balance H, atoms by adding H⊕ ions to the side having, less H atoms., , Br + 3H3AsO4, , 3 x (-2), , -1, , +5, , 3 x (+1) 4x(-2), +5, , 2. Identify the species that undergoes change, in oxidation number, Loss of 2e, −, , 3H3AsO3(aq) + BrO3 (aq), , Br−(aq) + 3H3AsO4(aq), , Gain of 6e, , The oxidation number of As increases, from +3 to +5 and that of Br decreases from, +5 to -1. Because oxidation number of one, species increases and that of other decreases,, the reaction is therefore redox reaction., The oxidation number of As increases, by loss of electron. Thus As is a reducing, agent and is itself oxidized. On the other, hand, the oxidation number of Br decreases., Hence, it is reduced by the gain of electron, and act as an oxidizing agent., Result :, 1. The reaction is redox reaction., 2. Oxidant/oxidizing agent - BrO3−, 3. Reductant/Reducing agent - H3AsO3, , 85

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Step IV : If the reaction occurs in basic, medium, then add OH ions, equal to the, number of H⊕ ions added in step III, on both, the sides of equation. The H⊕ and OH on same, sides of reactions are combined to give H2O, molecules., Step V : Check the equation with respect to, both, the number of atoms of each element and, the charges. It is balanced., Note : For acidic medium step IV is omitted., , Problem 6.6 : Balance the following, reaction by oxidation number mathod., Cu + N2+ H2O, CuO+ NH3, Solution :, Step I : Write skeletal equation and balance, the elements other that O and H., CuO + 2 NH3, Cu + N2+ H2O, Step II : Assign oxidation number to Cu, and N. Calculate the increase and decrease, in the oxidation number and make them, equal. (a) stands for known O.N. and (b) for, calculated O.N., CuO + 2NH3, Cu+ N2 + H2O, , Problem 6.5 : Using the oxidation number, method write the net ionic eqvation for the, reaction of potassium permanganate, KMnO4,, with ferrous sulphate, FeSO4., MnO4 (aq) + Fe2⊕(aq), Mn2⊕(aq)+ Fe3⊕(aq), Solution :, Step 1 : The skeletal ionic equation is, MnO4 (aq) + Fe2⊕(aq), Mn2⊕(aq)+ Fe3⊕(aq), Step 2 : Assign oxidation number to Mn and, Fe, and calculate the increase and decrease in, the oxidation number and make them equal., , (b), , (a), (b), , 4 x (-2), +7, , + Fe2⊕, +2, , Mn2⊕ +, , Fe3⊕, , +2, , +3, , +2, , 3x(+1), -3, , 0, , 0, , increase in oxidation number :, 2NH3, N2, -3, , 0, , increase per atom = 3, decrease in oxidation number, CuO, Cu, , (a) stands for known O.N. and (b) for, calculated O.N., MnO4, , -2, , (a), , +2, , 0, , decrease per atom = 2, to make the net increase and decrease equal, we must take 3 atoms of Cu and 2 atoms, of N, 3CuO+2NH3, 3Cu+N2+ H2O, Step III : Balance 'O' atoms by addition, 2H2O to the right hand side., 3CuO+2NH3, 3Cu+N2+ 3H2O, Step IV : Charges are already balanced, Step V : Check two sides for balanced of, atoms and charges. The equation obtain in, step IV is balanced., 3CuO+2NH3, 3Cu+N2+ 3H2O, , increase in oxidation number :, Fe (+3), Fe (+2), increase per atom = 1, decrease in oxidation number :, Mn(+2), Mn(+7), decerase per atom = 5, to make the net incerase and decrease equal we, must take 5 atoms of Fe2⊕, MnO4 (aq) + 5Fe2⊕(aq), Mn2⊕(aq) + 5Fe3⊕(aq), Step 3 : Balance the 'O' atoms by adding, 4H2O to the right hand side., MnO4 (aq) + 5Fe2⊕(aq), Mn2⊕(aq) + 5Fe3⊕(aq) + 4H2O(l), Step 4: The medium is acidic. To make the, charges and hydrogen atoms on the two sides, equal, add 8H⊕ on the left hand side., MnO4 (aq) + 5 Fe2⊕(aq) + 8H⊕(aq), Mn2⊕(aq) + 5Fe3⊕(aq) + 4H2O(l), Step 5: Check the two sides for balance of, charges and atoms. The net ionic equation, obtained in step 4 is the balanced equation., MnO4 (aq) + 5 Fe2⊕(aq) + 8H⊕(aq), Mn2⊕(aq) + 5Fe3⊕(aq) + 4H2O, , 6.3.2 Ion electron method (Half reaction, method) : In this method two half equations, are balanced separately and then added, together to give balanced equation. Following, steps are involved, Step I : Write unbalanced equation for the, redox reaction. Assign oxidation number to all, the atoms in the reactants and products. Divide, the equation into two half equations. One half, equation involves increase in oxidation number, and another involves decrease in oxidation, , 86

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number (Write two half equation separately), Step II : Balance the atoms except O and H in, each half equation. Balance oxygen atom by, adding H2O to the side with less O atoms., Step III : Balance the H atom by adding H+, ions to the side with less H atoms., Step IV : Balance the charges by adding, appropriate number of electrons to the right, side of oxidation half equation and to the left, of reduction half equation., Step V : Multiply half equation by suitable, factors to equalize the number of electrons in, two half equations. Add two half equations, and cancel the number of electrons on both, sides of equation., Step VI : If the reaction occurs in basic, medium then add OH- ions, equal to number of, H⊕ ions on both sides of equation. The H⊕ and, OH- ions on same side of equation combine to, give H2O molecules., Step VII : Check that the equation is balanced, in both, the atoms and the charges., , Reduction, ClO2 (aq) + H2O (l), ClO3 (aq), Step III : Balance H- atoms by adding H⊕, ions to the side with less H. Hence add 4H⊕, ions to the right side of oxidation and 2H⊕, ions to the left side of reduction., Oxidation, MnO2 + 4H⊕ (aq), Mn2⊕ (aq) + 2 H2O (l), Reduction, ClO2 (aq), ClO3 (aq) + 2 H⊕ (aq), + H2O (l), Step IV : Now add 2 electrons to the right, side of oxidation and 1 electron to the left, side of reduction to balance the charges., Oxidation, MnO2 (s) +, Mn2⊕ (aq) + 2 H2O(l), , 4 H⊕(aq) + 2 e, Reduction, ClO2 (aq), ClO3 (aq) + 2H⊕ (aq)+ e, + H2O(l), Step V : Multiply reduction half equation, by 2 to equalize number of electrons in two, half equations. Then add two half equation., Oxidation, Mn2⊕ (aq) + 2 H2O(l), MnO2 (s) + 4H⊕(aq) + 2e Reduction, (1), 2 ClO3 (aq) + 4H⊕(aq) + 2e, 2ClO2(aq) + 2H2O (l), (2), eq. (1) + eq. (2) gives the net reaction, Mn2⊕ (aq) + 2 ClO3 (aq), MnO2(s) + 2ClO2 (aq), The equation is balanced in terms of, number of atoms and the charges., , Problem 6.7 : Balance the following, unbalanced equation (in acidic medium) by, ion electron (half reaction method), Mn2⊕ (aq) + ClO3 (aq) MnO2 (s), + ClO2 (aq), Solution :, Step I : Write unbalanced equation for the, redox reaction. Assign oxidation number to, all the atoms in reactants and product then., Divide the equation into two half equations., Loss of 2e, , Mn2⊕, (a), (b), , +, , ClO3, , +2, , MnO2 + ClO2, , 3x(-2), +5, , 2x(-2), , 2x(-2), , Problem 6.8 : Balance the following, unbalanced equation by ion electron (half, reaction method), H2O2 (aq) + ClO4 (aq), ClO2 (aq), + O2 (g), Solution :, Step I : Write unbalanced equation for the, redox reaction and assign oxidation number, to all the atoms in reactants and products., (a) stands for known O.N. and (b) for, calculated O.N., , Gain of 1e, , Oxidation half reaction, Mn2⊕ (aq), MnO2 (s), Reduction half reaction, ClO3 (aq), ClO2 (aq), Step II : Balance half equations for O, atoms by adding H2O to the side with less O, atoms. Add 2H2O to left side of oxidation, and one H2O to the right side of reduction., Oxidation, MnO2 (s), Mn2⊕ (aq) + 2H2O (l), , 87

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electron, flow, , Zinc, electrode, (anode), , V, Voltmeter, Salt bridge, Ion, flow, , electron, flow, , Copper, electrode, (cathode), , Zinc, salt, solution, , Copper, salt, solution, , Electrode reactions, Zn (s), Zn2⊕(aq) + 2e, Cu(s), Cu2⊕(aq) + 2e, Reduction (gain of electrons), Oxidation (loss of electrons), , Fig. 6.1 : Daniel Cell, , The set up in Fig. 6.1 is that of Daniel, cell. The zinc and copper plates are connected, by an electric wire through a switch and, voltmeter. The solution in two containers are, connected by salt bridge (U-shaped glass tube, containing a gel of KCl or NH4NO3 in agaragar). When switch is on, electrical circuit, is complete as indicated by the deflection in, the voltmeter. The circuit has two parts, one, called external circuit, in the form of electrical, wire which allows the flow of electrons and, the other in the form of two solutions joined by, salt bridge. In solution part of the circuit, the, electric current is carried by movement of ions., When a circuit is complete, the zinc atoms on, zinc plates spontaneously lose electrons which, are picked up in the external circuit. The, electrons flow from the zinc plate to copper, plate through the wire. Cu2⊕ ions in the second, container receive these electrons through the, copper plate and are reduced to copper atoms, which get deposited on the copper plate. Here,, zinc plate acts as anode (negative electrode), and the copper plate acts as cathode (positive, electrode). Thus, when two half reactions,, namely, oxidation and reduction, are allowed, to take place in separate containers and a, provision is made for completing the electrical, circuit, electron transfer takes place through, the external circuit. This results in flow of, electric current in the circuit as indicated by, deflection in voltmeter. At the same time, ions move within the solution resulting in, completion of the electrical circuit. This is, a simple electrochemical cell called Daniel, , cell, in which electricity is generated by redox, reaction., In an electrochemical cell electrons flow, in the external circuit from anode to cathode, while the conventional current flows from, cathode to anode. An electrical potential is, said to be established at the two electrodes of, an electrochemical cell. It is called electrode, potential. The magnitude and direction of the, electrode potential depends upon the nature of, the metal and ions, concentration of ions and, temperature. The reaction associated with an, electrode is called electrode reaction. The, two chemical species linked by transfer of, electrons form a redox couple., 6.4.1 Standard electrode potential : When, concentration of each species taking part in the, electrode reaction is unity and the temperature, is 298 K, observed electrode potential is, called standard electrode potential (E0). By, convention the standard electrode potential, of hydrogen electrode is 0.00 Volt. Standard, hydrogen electrode is used as reference, electrode for determination of E0 values of, various redox couples., Significance of E0 value : The electrode, reaction considered for the electrode potential, is reduction reaction. Therefore, value and sign, of standard electrode potential is a measure of, the tendency of active species in the electrode, reaction to remain in the oxidized / reduced, form. A negative E0 means redox couple is a, stronger reducing agent than the H⊕/H2 couple., Table 6.1 shows standard electrode potentials, of reduction process of some redox couples., , 89

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Exercises, 1. Choose the most correct option, A. Oxidction numbers of Cl atoms marked, as Cla and Clb in CaOCl2 (bleaching, powder) are, , Cla, Ca, O Clb, , b. Fe3⊕ is undergoing oxidation, c. It is not a redox reaction, d. Both Sn2⊕ and Fe3⊕ are oxidised, F. Oxidation number of carbon in H2CO3 is, a. +1, b. +2, c. +3, d. +4, G. Which is the correct stock notation for, magenese dioxide ?, a. Mn(I)O2, b. Mn(II)O2, c. Mn(III)O2, d. Mn(IV)O2, I. Oxidation number of oxygen in, superoxide is, a. -2, b. -1 c. - 1 d. 0, 2, J. Which of the following halogens does, always show oxidation state -1 ?, a. F, b. Cl, c. Br, d. I, K. The process SO2, S2Cl2 is, a. Reduction, b. Oxidation, c. Neither oxidation nor reduction, d. Oxidation and reduction., 2. Write the formula for the following, compounds :, A. Mercury(II) chloride, B. Thallium(I) sulphate, C. Tin(IV) oxide, D. Chromium(III) oxide, 3. Answer the following questions, A. In which chemical reaction does carbon, exibit variation of oxidation state from, -4 to +4 ? Write balanced chemical, reaction., B. In which reaction does nitrogen, exhibit variation of oxidation state from, -3 to +5 ?, , a. zero in each, b. -1 in Cla and +1 in Clb, c. +1 in Cla and -1 in Clb, d. 1 in each, B. Which of the following is not an example, of redox reacton ?, a.CuO+H2, Cu+H2O, b.Fe2O3+3CO2, 2Fe+3CO2, c. 2K+F2, 2KF, d. BaCl2+H2SO4, BaSO4+2HCl, C. A compound contains atoms of three, elements A, B and C. If the oxidation, state of A is +2, B is +5 and that of C is, -2, the compound is possibly represented, by, a. A2 (BC3)2, b. A3 (BC4)2, c. A3 (B4C)2, d. ABC2, D. The coefficients p, q, r, s in the reaction, p Cr2O72 + q Fe2⊕, r Cr3⊕ + s Fe3⊕, + H2O, respectively are :, a. 1, 2, 6, 6, b. 6, 1, 2, 4, c. 1, 6, 2, 6, d. 1, 2, 4, 6, E. For the following redox reactions, find, the correct statement., Sn2⊕ + 2Fe3⊕, Sn4⊕ + 2Fe2⊕, a. Sn2⊕ is undergoing oxidation, , 91

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7. Modern Periodic Table, Mendeleev arranged the elements, known at that time in an increasing order of, their atomic masses. The serial or ordinal, number of an element in the increasing order, of atomic mass was referred to as its atomic, number. He folded this list in accordance, with recurrence of properties of elements and, formed his periodic table consisting of vertical, groups and horizontal series (now called, periods)., In Mendeleev’s periodic table, elements, belonging to the same group showed similar, properties. Properties of elements in a series/, period showed gradual variation from left to, right. Mendeleev left some gaps corresponding, to certain atomic numbers in the periodic, table so as to maintain the periodicity of the, properties. Mendeleev’s periodic table was, accepted by the scientific community since, the newly discovered elements fitted well into, the gaps with their properties as predicted by, Mendeleev’s periodic law. Inert gases, not, predicted by Mendeleev and discovered in, later years also could be accommodated in this, periodic table by creating an additional group., After the discovery of atomic structure,, the atomic number, which was an ordinal, number assigned to element in Mendeleev’s, periodic table, was recognized as the proton, number, Z, of that element. This was the, outcome of Henry Moseley’s work (1913) on, x-ray spectroscopic study of a large number of, elements. Moseley showed that the frequency, of x-ray emitted by an element is related to, atomic number, Z, rather than the atomic mass., The atomic number, Z, was considered as more, fundamental property of the atom than the, atomic mass. As a result, Mendeleev’s periodic, law was modified. It is called the modern, periodic law and is stated as: “The physical, and chemical properties of elements are a, periodic function of their atomic numbers”., , Can you recall?, • What was the basis of classification, of elements before the knowledge of, electronic structure of atom?, • Name the scientists who made the, classification of elements in the, nineteenth century., • What is Mendeleev’s periodic law?, • How many elements are discovered, uptil now?, • How many horizontal rows and vertical, columns are present in modern periodic, table?, 7.1 Introduction, In the early nineteenth century about, 30 elements were known and were classified, into three types on the basis of their physical, properties as: metals, nonmetals and, metalloids. Subsequent noteworthy attempts, For classification of the increasing number, of elements based on atomic mass were, Dobereiner’s triads and Newlands’ octaves., Just think, • How many days pass between two, successive full moon nights?, • What type of motion does a pendulum, exhibit?, • Give some other examples of periodic, events., In 1869, Russian chemist Dmitri, Mendeleev put forth periodic table of the 63, elements known at that time using the atomic, mass and properties of elements. Mendeleev’s, periodic table was based on the as Mendeleev’s, periodic law which is stated as “The physical, and chemical properties of elements are, periodic function of their atomic masses”., , 93

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This numbering of the periods and groups, is recommended by the International Union, of Pure and Applied Chemistry, IUPAC. The, boxes formed at the intersection of the periods, and groups are the places for individual, elements. Below the main table are placed two, series containing fourteen elements each., There are in all 118 boxes to accommodate, 118 elements in the modern periodic table. As, on today all the 118 boxes are filled as a result, of discovery of manmade elements. IUPAC, has approved names and symbols of all the, 118 elements. (Refer to Fig. 7.1), The overall shape of the modern, periodic table shows that it is divided into four, blocks. Two groups on left form the s-block,, six groups on the right constitute the p-block,, ten groups in the center form the d-block and, the two series at the bottom constitute the, f-block (Fig. 7.2)., , Mendeleev’s periodic table was revised, in accordance with the modern periodic law., We will look into the final revised version, known as the modern periodic table also, called the long form of periodic table in the, following sections., 7.2 Structure of the Modern Periodic Table, Over a long period of time many, scientists have come up with different forms, of periodic table. However, the so called ‘long, form of periodic table’ or ‘the modern, periodic table’, which is a revised version, of Mendeleev’s periodic table, is the most, convenient and widely used form of the, periodic table of elements today., The modern periodic table has, horizontal rows intersecting the vertical, columns giving rise to a number of boxes., The horizontal rows are called periods (which, Mendeleev called series) and the vertical, columns are called groups. There are seven, periods (numbered 1 to 7) and eighteen, groups (numbered 1 to 18) in the modern, periodic table., , Periods, , Groups, 1, 1, , 18, 13, , 2, , 14, , 15, , 16, , 17, , 2, 3, , 3, , 4, , 5, , 6, , 7, , 8, , 9, , 10, , 11, , 12, , 4, 5, 6, 7, , Series, , Fig. 7.1 : Modern Periodic Table, , 94, , (Refer page 271)

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7.3 Periodic, Table, configuration, , and, , Electronic, , Along a period the atomic number, increases by one and one electron is added, to outermost shell which forms neutral atom, of the next element. Every period ends with, complete octet configuration (or duplet in the, case of the first period) of the valence shell and, the next period begins with addition of electron, to the next shell of higher energy compared to, the previous period. The first shell, thus, gets, filled along the first period. As the first shell, can accommodate only two electrons, there, are two elements in the first period, namely, H, (Z=1) : 1s1 and He (Z=2) : 1s2. The first period, ends at ‘He’ because ‘He’ has complete duplet., Electrons are filled in the second shell, along the second period. The second period,, thus, begins with Li (Z=3) : 1s2 2s1 and ends, up with Ne (Z=10): 1s22s22p6. ‘Ne’ with 8, electrons in its outermost second shell has, complete octet. The second shell has electron, capacity of 8. It gets filled along the second, period, as the atomic number increases. Thus, there are eight elements in the second period., Similarly there are eight elements Na, (Z=11) to Ar (Z=18) having the condensed, electronic configurations described together as, [Ne]3s1-23p1-6 in the third period, as a result of, completion of the third shell., The fourth period begins with filling, of 4s subshell. The first two elements of the, fourth period are K (Z=19) : [Ar] 4s1 and Ca, (Z=20): [Ar]4s2. According to the aufbau, principle the next higher energy subshell is 3d,, which can accommodate upto 10 electrons., Filling of the 3d-subshell results in the next 10, elements of the fourth period, from Sc (Z=21) :, [Ar] 4s23d1 to Zn (Z=30) : [Ar] 4s23d10. After, this the electrons enter the subshell 4p for, the next six elements : Ga (Z = 31) : [Ar], 4s23d104p1 to Kr (Z=36) : [Ar] 4s23d104p6. The, fourth period, thus, contains in all 18 elements, (2+10+6=18)., The fifth period accomodates 18, elements as a result of successive filling of, electrons in the 5s, 4d and 5p subshells., , Can you recall?, • What do the principal quantum number, ‘n’ and azimuthal quantum n u m b e r ‘ l ’, of an electron belonging to an atom, represent?, • Which principle is followed in the, distribution of electrons in an atom?, When Mendeleev put forth his, periodic table in 1869, the atomic structure, was not known. He observed periodicity in, the properties of elements on arranging them, in an increasing order of atomic mass. Later,, with the advent of quantum mechanical model, of atom, the properties of elements were, correlated to electronic configuration., You have learnt in the Chapter 4, that the electrons in atom are distributed in, shells and subshells in accordance with the, aufbau principle which includes increasing, order of energy, Pauli exclusion principle, and Hund’s rule of maximum multiplicity., When elements are arranged in an increasing, order of atomic number (Z), periodicity is, observed in their electronic configuration and, which reflects in the characteristic structure, of the modern periodic table. The location, of elements in the modern periodic table is, correlated to quantum numbers of the last, filled orbital. Let us have a deeper look into, the electronic configuration of the elements, and the structure of the modern periodic table., 7.3.1 Electronic configuration in periods, We noted earlier that periods in the, modern periodic table are numbered 1 to 7., On inspection of the electronic configurations, (see Fig. 7.3) of elements in various periods, we understand that the period number is same, as the principal quantum number ‘n’ of the, outermost or valence shell of the elements., , 95

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96, , Actinoids, 5f n 6d0-1 7s2, , Lanthanoid, 4f n 5d0-1 6s2, , 1, , Representative elements, s - Block, , f - Block, , Fig. 7.2 : Outer electronic configuration of elements in the four blocks of the periodic table, , d - Block, , Representative elements, p - Block

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In short, a period begins by filling of one, electron to the ‘s’ subshell of a new shell and, ends with an element having complete octet, (or duplet) corresponding to the same shell., Between these two ends corresponding to ‘s’, and ‘p’ subshell of the valence shell, the inner, subshells ‘d’ and ‘f’ are filled successively, following the aufbau principle., 7.3.2 Electronic configuration in groups, A new shell is added down a group., The general outer electronic configuration,, therefore, is expected to be the same down any, particular group. Indeed it is found to be so for, the groups 1, 2 and 3. (See Fig. 7.2 and Table, 7.1) In the groups 13 to 18 the appropriate, inner ‘d’ and ‘f’ subshells are completely filled, and the general outer electronic configuration, is the same down the groups 13 to 18. (see Fig., 7.2 and Table 7.1)., In the groups 4 to 12, however, the ‘d’, and ‘f’ subshells are introduced at a later stage, (4th period for ‘d’ and 6th period for ‘f’) down, the group. As a result variation in the general, outer configuration is introduced only at the, later stage down the groups 4 to 12., , Problem 7.1 : What is the subshell, in which the last electron of the first, element in the 6th period enters ?, Solution :, The 6th period begins by filling the, last electron in the shell with n=6. The, lowest energy subshell of any shell is, ‘s’. Therefore the last electron of the, first element in the 6th period enters the, subshell ‘6s’., Problem 7.2 : How many elements are, present in the 6th period? Explain., Solution :, The 6th period begins by filling the last, electron in the subshell ‘6s’ and ends by, completing the subshell ‘6p’. Therefore,, the sixth period has the subshells filled, in increasing order of energy as 6s < 4f <, 5d < 6p. The electron capacities of these, subshells are 2, 14, 10 and 6, respectively., Therefore, the total number of elements in, the 6th period are 2+14+10+6 = 32., , Table 7.1 : General outer electronic configuration in groups 1 to 3 and 13 to 18, Group number, General outer configuration, Examples, Group 1, , ns1, , 3, , Group 2, , ns2, , 4, , Group 3, , ns2 (n-1)d1, , 21, , Group 13, , ns2 np1, , 5, , Group 14, , ns2 np2, , 6, , Group 15, , ns2 np3, , 7, , Group 16, , ns2 np4, , 8, , Group 17, , ns2 np5, , 9, , Group 18, , ns2 np6, , 10, , Li:2s1, 11Na:3s1, Be:2s2, 12Mg:3s2, Sc:4s23d1, 39Y:5s24d1, , B:2s22p1, 13A1:3s23p1, C:2s22p2, 14Si:3s23p2, N:2s22p3, 15P:3s23p3, O:2s22p4, 16S:3s23p4, F:2s22p5, 17C1:3s23p5, Ne:2s22p6, 18Ar:3s23p6, , 97

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7.3.3 Electronic configuration in the four, blocks: We noted in section 7.2 that structure, of the modern periodic table shows four blocks., These blocks are formed in accordance with, the subshell in which the last electron enters., Accordingly the four blocks are named as, s-block, p-block, d-block and f-block., s-Block : The last electron in the s-block, elements is filled in a s-subshell. There being, only one orbital in a s-subshell, the general, outer electronic configuration of s-block, elements is ns1-2. Thus elements of the group-1, and group-2 belong to the s-block. The s-block, is present on the left extreme of the modern, periodic table., p-Block: The last electron in the p-block, elements is filled in p-subshell. There being, three degenerate p-orbitals in a p-subshell,, upto 6 electrons can be filled. Therefore, the, elements belonging to six groups, namely,, group 13, 14, 15, 16, 17 and 18 constitute the, p-block. The p-block appears on the right in, the modern periodic table. The p-block ends, with the group 18 which represent the family, of inert gases. Remarkably, the first element of, the group 18, helium (He) does not have the p, subshell as its valence shell has n =1 and its, configuration is shown as 1s2. Yet ‘He’ is placed, in the 18th group of the p –block because its, valence shell is completely filled (which is a, complete duplet), similar to complete valence, shell of the other elements belonging to group, 18 (which have complete octets). The general, electronic configuration for the p-block (from, the second to the seventh period) is ns2 np1-6., d-Block : The d-block in the modern periodic, table is formed as a result of filling the last, electron in d-orbital. A d-subshell is present in, the shells with n ≥ 3 and according to the (n+l), rule (refer to Chapter 4) the energy of ns orbital, is less than that of the (n-1)d orbital. As a result,, the last electron enters a (n-1)d-subshell only, after the ns subshell is completely filled. There, being five orbitals in a d-subshell, 10 electrons, can successively be accommodated. There are, , ten groups, namely, groups 3, 4, 5, 6, 7, 8, 9,, 10, 11 and 12 in the d-block which appears, in the centre of the modern periodic table., The general outer electronic configuration of, the d-block elements is ns0-2 (n-1)d1-10. Some, variations in the configuration, consequent, to the extra stability associated with halffilled and a fully filled subshell, are readilly, observed. For example, the outer electronic, configuration of Cr (Z = 24) is 4s13d5 instead, of 4s23d4. This is because both 4s and 3d, subshells are half-filled., f-Block : In the f-block elements the last, electron is filled in f-orbital. As there are, seven orbitals in a f-subshell, the general outer, electronic configuration of the f-block is ns2, (n-1)d0-1 (n-2)f1-14. The variations as a result, of the extra stability of half-filled and fully, filled subshell need to be accounted for. For, example, the outer electronic configuration, of 63Eu is 6s24f75d0 because the 4f subshell is, half-filled. The f-block constitutes two series, of 14 elements called the lanthanoid and the, actinoid series, put one below the other. The, f-block is placed separately at the bottom of, the periodic table., , Problem 7.3 : Outer electronic configurations of a few elements are given below. Explain them and identify the period,, group and block in the periodic table to, which they belong., He : 1s2, 54Xe : 5s25p6, 16S : 3s23p4, 79Au :, 2, 6s15d10, Solution :, He : 1s2, 2, Here n = 1. Therefore, 2He belongs to the, 1st period. The shell n =1 has only one, subshell, namely 1s. The outer electronic, configuration 1s2 of ‘He’ corresponds to, the maximum capacity of 1s, the complete, duplet. Therefore, He is placed at the end, of the 1st period in the group 18 of inert, , 98

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7.4.2 Characteristics of p-block elements :, The p-block contains elements of groups, 13 to 18. The p-block elements together, with s-block elements are called main group, elements or representative elements. The last, group of the p-block, namely, the 18th group,, is the family of noble/inert gases. These have, closed valence shells (complete duplet in the, case of ‘He’ and complete octet in the case of, the other noble gases) and therefore very low, chemical reactivity. Elements of group 17, (halogen family) and group 16 (chalcogens), include reactive nonmetals. The electron, gain enthalpies being highly negative, they, gain one or two electrons readily and form, anions (X or X2 ) which have complete, octet. The p-block contains all the three, traditional types of elements. The metals, on the left, the nonmetals on the right and the, metalloids along a zig-zag line (see Fig. 7.1), which separates metals from nonmetals. The, nonmetallic character increases as we move, from the left to the right, whereas it decreases, as we go down a group., 7.4.3 Characteristics of d-block elements, The d-block contains elements of, the groups 3 to 12. They are all metals. The, d-block elements are known as transition, elements or transition metals. They form a, bridge between chemically reactive s-block, elements and less reactive elements of groups, 13 and 14. Most of d-block elements possess, Partially filled inner d-orbitals. As a result, the d-block elements have properties such as, variable oxidation state, paramagnetism,, ability to form coloured ions. They can, be used as catalysts. Zn, Cd, and Hg with, configuration ns2 (n-1) d10, (completely filled s, - and d - subshells) do not show the properties, typical of transition metals., 7.4.4 Characteristics of f-block elements, The f-block contains elements all of which, are metals and are placed in the two rows called, lanthanoid series (58Ce to 71Lu) and actinoid, , gases, so ‘He’ belongs to p-block., Xe : 5s25p6, 54, Here n = 5. Therefore, 54Xe belongs to the 5th, period. The outer electronic configuration, 5s25p6 corresponds to complete octet., Therefore 54Xe is placed in group 18 and, belongs to p-block., S : 3s23p4, 16, Here n = 3. Therefore, 16S belongs to the 3rd, period. The 3p subshell in ‘S’ is partially, filled and short of completion of octet by, two electrons. Therefore ‘S’ belongs to (182) = 16th group and p – block., Au : 6s15d10, 79, Here n = 6. Therefore, ‘Au’ belongs to the, 6th period. The sixth period begins with, filling of electron into 6s and then into 5d, orbital. The outer configuration of ‘Au’ :, 6s1 5d10 implies that (1+10) = 11 electrons, are filled in the outer orbitals to give ‘Au’., Therefore ‘Au’ belongs to the group 11. As, the last electron has entered ‘d’ orbital ‘Au’, belongs to the d-block., 7.4 Blockwise characteristics of elements, We have seen in the previous section, that the 118 elements in the modern periodic, table are distributed in four blocks having, general electronic configuration according, to their block. The elemental properties are, characteristic of the block they belong., 7.4.1 Characteristics of s-block elements, The s-block contains the elements of, group 1 (alkali metals) and group 2 (alkaline, earth metals). All these elements are reactive, metals, and occur in nature only in combined, state. Their compounds, with exception of, Li and Be, are predominantly ionic. This is, because they have only one or two valence, electrons which they can lose readily forming, M⊕ or M2⊕ ions. They have low ionization, enthalpies, which decrease down the group, resulting in increased reactivity., , 99

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series (90Th to 103Lr). These series are named, after their preceding elements lanthanum, (57La) and actinium (89Ac) in the third group of, the d-block of the 6th and 7th period respectively., The lanthanides are also known as rare earth, elements. The last electron of the elements of, these series is filled in the (n-2)f subshell, and, therefore, these are called inner-transition, elements. These elements have very similar, properties within each series. The actinide, Problem 7.4 : Chlorides of two metals are, common laboratory chemicals and both, are colourless. One of the metals reacts, vigorously with water while the other reacts slowly. Place the two metals in the, appropriate block in the periodic table., justify your answer., Solution, Metals are present in all the four blocks of, the periodic table. Salts of Metals in the, f-block and p-block (except AlCl3) are not, common laboratory chemicals. Therefore,, the choice is between s- and d-block. From, the given properties their placement is, done as shown below:, s-block: Metal that reacts vigorously with, water, d-block: Metal that reacts slowly with, water., The colourless nature of the less, reactive metal in the d-block implies that, the inner d-subshell is completely filled., elements beyond 92U are called transuranium, elements. All the transuranium elements are, manmade and radioactive., 7.5 Periodic trends in elemental properties, The original structure of the periodic table, was based on empirically observed periodicity, in the elemental properties. Thus, elemental, properties show similarity in a group and, show gradual variation across a period. The, quantum mechanical model of atom explains, the observed periodic trends of elemental, , properties. We will now discuss in this section, the periodic trends in some physical and, chemical properties of elements, correlating, them with electronic configuration and the, nuclear charge. These trends are explained, in terms of two fundamental factors, namely,, attraction of extranuclear electrons towards, the nucleus and repulsion between electrons, belonging to the same atom. These attractive, and repulsive forces operate simultaneously, in an atom. This results in two interrelated, phenomena called effective nuclear charge, and screening effect., 7.5.1 Effective nuclear charge and screening, effect : In a multi-electron atom the positively, charged nucleus attracts the negatively, charged electrons around it, and there is mutual, repulsion amongst the negatively charged, extranuclear electrons. The repulsion by innershell electrons is particularly important. This, results in pushing the outer-shell electrons, further away from the nucleus. The outershell electrons are, thus, held less tightly by, the nucleus. In other words, the attraction of, the nucleus for an outer electron is partially, cancelled. It means that an outer-shell electron, does not experience the actual positive charge, present on the nucleus. The net nuclear charge, actually experience by an electron is called the, effective nuclear charge, Zeff. The effective, nuclear charge is lower than the actual nuclear, charge, Z. In other words, the inner electrons, shield the outer electrons from the nucleus to a, certain extent. This effect of the inner electrons, on the outer electrons is called screening effect, or shielding effect of the inner/core electrons., Effective nuclear charge = Zeff, = Z - electron, shielding, =Z- s, Here s (sigma) is called shielding, constant or screening constant and the value, of s depends upon type of the orbital that the, electron occupies., , 100

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is estimated to be 77 pm. (ii) Bond length, of Cl-Cl bond in Cl2 is measured as 198 pm., Therefore, the atomic radius of Cl is estimated, to be 99 pm. (see Fig. 6.3), 224 pm, , Be, , Be, , Be, , Be, , Be, , Be, , Be, , Be, , Be, , Atomic radius of Be =, , 198 pm, , As we move across a period actual, nuclear charge increases by +1 at a time, the, valence shell remains the same and the newly, added electron gets accommodated in the, same shell. There is no addition of electrons, to the core. Thus, shielding due to core, electrons remains the same though the actual, nuclear charge, Z, increases. The net result is, that the effective nuclear charge, Zeff, goes, on increasing across a period. On the other, hand, the Zeff decreases down a group. This, is because, as we move down a group, a new, larger valence shell is added. As a result, there, is an additional shell in the core. The shielding, effect of the increased number of core electrons, outweighs the effect of the increased nuclear, charge; and thereby the effective nuclear, charge felt by the outer electrons decreases, largely down a group., 7.5.2 Periodic trends in physical properties, Many physical properties of elements, such as melting point, boiling point and density, show periodicity. In this section we are going, to consider the periodic trends in physical, properties with reference to atomic radius,, ionic radius, ionization enthalpy, electron gain, enthalpy and electronegativity., a. Atomic radius : You have learnt in chapter, 4 that the quantum mechanical model of atom, describes the extranuclear part of atom as, the electron cloud. As a direct implication of, this, the atom has no definite boundary. The, atomic size or atomic radius, therefore, can, be estimated from the internuclear distance, under different circumstances. In the case of, nonmetals (except noble gases), the atoms, of an element are bonded to each other by, covalent bonds. (Refer to Chapter 5). Bond, length of a single bond is taken as sum of radii, of the two single bonded atoms. This is called, covalent radius of the atom. For example, : (i) Bond length of C-C bond in diamond is, 154 pm. Therefore, atomic radius of carbon, , 224 pm, = 112 pm, 2, , Cl, , Cl, Cl2, 198 pm, Atomic radius of Cl =, = 99 pm, 2, , Fig 6.3 : Estimation of atomic radii of metals, and nonmetals, , In the case of metals, distance between, the adjacent atoms in metallic sample is, measured. One half of this distance is taken, as the metallic radius. Thus, atomic radius is, one half of the internuclear distance between, two adjacent atoms of a metal or two single, bonded atoms of a nonmetal., , 101, , Do you know ?, Atomic radius is estimated in terms of, the electron density surface which encloses, typically 95 % (or more, which is orbitary, of the electron density.

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Table 7.2 : Atomic radii of some elements, Element symbol (atomic radius / pm), Group, , 1, , 2, , 13, , 14, , 15, , 16, , 17, , Period, 2, , Li (152), , Be (111), , B (88), , C (77), , N (74), , O (66), , F (64), , 3, , Na (186), , Mg (160), , Al (143), , Si (117), , P (110), , S (104), , Cl (99), , 4, , K, , (231), , Br (114), , 5, , Rb (244), , I (133), , 6, , Cs (262), , At (140), , It can be seen from Table 7.2 that atomic, radius decreases across a period (upto group, 17) and increases down a group. Greater the, effective nuclear charge stronger is attraction, of the nucleus for the outer electrons and, smaller is the atomic radius. As we move across, a period, screening effect caused by the core, electrons remains the same, on the other hand, the effective nuclear charge goes on increasing, (see section 6.5.1). The valence electrons are,, therefore, more tightly bound and in turn the, atomic radius goes on decreasing along a, period. The effective nuclear charge decreases, and shielding effect increases down a group, (see section 7.5.1). The valence electrons are,, thus, held by weaker attractive force and the, atomic radius increases down a group., b. Ionic radius: An atom forms a positively, charged ion, cation, on the removal of one or, more electrons whereas a negatively charged, ion, anion, is formed with gain of one or, more electrons. Measurements of distances, between neighbouring cations and anions in, ionic crystals have been useful for estimation, of ionic radii. The ionic radii show the same, trends as of atomic radii., A cation is smaller than the atom from, which it is formed, because it contains fewer, electrons than atom, though the nuclear charge, is the same. As a result the shielding effect, is less and effective nuclear charge is larger, within a cation., , An anion has a larger radius than the, corresponding atom, as it has more number, of electrons than the atom. These additional, electrons result in increased electron repulsion,, decreased effective nuclear charge and in turn,, the increased size., Some atoms and ions contain the same, number of electrons and are called isoelectronic, species. (See chapter 4) The actual nuclear, charge of the isoelectronic species is, however,, different. The radii of isoelectronic species, vary according to actual nuclear charge. Larger, nuclear charge exerts greater attraction for the, electrons and the radius of that isoelectronic, species becomes smaller. For example, F and, Na⊕ both have 10 electrons, their radii are 133, pm and 98 pm respectively, as the nuclear, charge of F is + 9 which is smaller than that of, Na⊕ which is, + 11., c. Ionization enthalpy : Removal of an, electron from the neutral atom X results, , 102, , Problem 7.5 : Identify the species having, larger radius from the following pairs : (i), Na and Na⊕, (ii) Na⊕ and Mg2⊕, Solution :, (i) The nuclear charge is the same in Na, and Na⊕. But Na⊕ has less number of electrons and less number of occupied shells, (two shells in Na⊕ while three shells in Na)., Therefore, radius of Na is larger. (ii) Na⊕, and Mg2⊕ are isoelectronic species. Mg2⊕, has larger nuclear charge than Na⊕. Therefore, Na⊕ has larger radius.

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in formation of cation X⊕. The energy, required to remove an electron from, the isolated gaseous atom in its ground, state is called ionization enthalpy (∆iH)., Ionization enthalpy is the quantitative, measure of tendency of an element to lose, electron and expressed in kJ mol-1. Since, electrons are lost one at a time, we have, first ionization enthalpy, second ionization, enthalpy, and so on, for a given element., , X (g), X⊕ (g) + e ; ∆iH1, X⊕ (g), X2⊕(g) + e ; ∆iH2, Ionization enthalpy is always positive, since the energy always need to be supplied to, knock out electron from atom., The second ionization enthalpy, ∆iH2, is, larger than the first ionization enthalpy, ∆iH1,, as it involves removal of electron from the, positively charged species. Tables 7.3 and 7.4, show the values of first ionization enthalpy, down the group 1 and across the period 2, respectively., It is seen from Table 7.3 that on, moving down the group the first ionization, enthalpy decreases. This is because electron, is to be removed from the larger valence, shell. Screening due to core electrons goes on, increasing and the effective nuclear charge, decreases down the group. (See section 7.5.1), The removal of the outer electron, therefore,, becomes easier., , Table 7.3 : First ionization enthalpy values of, elements of group 1, Elements Atomic, Outer, ∆iH1, of Group Number, electronic, /kJ, 1, Z, configuration mol-1, Li, 3, 2s1, 520, 1, Na, 11, 3s, 496, 1, K, 19, 4s, 419, 1, Rb, 37, 5s, 403, 1, Cs, 55, 6s, 374, , An overall increase of the first ionization, enthalpy across the period 2 (see table 7.4), can be notice. This is because the screening, is the same and the effective nuclear charge, increases across a period. (See section 7.5.1), As a result the outer electron is held more, tightly. The first ionization enthalpy, therefore,, increases across a period. The alkali metal, displays the lowest first ionization enthalpy., The inert gas shows the highest first ionization, enthalpy across a period., Some irregularities are noticed for the, first ionization enthalpies as we move across, a period. For example, the first ionization, enthalpy of ‘B’ is smaller than that of ‘Be’., This is because ‘Be’ loses the electron from, 2s orbital while ‘B’ loses the electron from, 2p orbital which has less penetration (see, shapes of orbitals in chapter 4) than the 2s, orbital and therefore it is easier to remove a, 2p electron than a 2s electron. Similarly, first, ionization enthalpy of ‘O’ is smaller than that, of ‘N’. This is because ‘O’ loses the electron, from a doubly occupied ‘2p’ orbital. Due to, , Table 7.4 : First ionization enthalpy values of elements of period 2, Li, Be, B, C, N, O, F, Ne, , Element of, period 2, Atomic, number, Z, , Outer, electronic, Configuration, ∆iH1 /, kJ mol-1, , 3, , 4, , 2s1, , 2s2, , 520, , 899, , 5, , 6, , 7, , 8, , 9, , 2s2 2p1 2s2 2p2 2s2 2p3, , 2s2 2p4 2s2 2p5, , 801, , 1314, , 1086, , 103, , 1402, , 1681, , 10, 2s2 2p6, 2080

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electron-electron repulsion it is easier to lose, this electron than an electron from the singly, occupied 2p orbital in nitrogen atom. (This is, a consequence of Hund’s rule of maximum, multiplicity, described in Chapter 4.), Problem 7.6 :, The first ionization enthalpy values of, Si, P and C1 are 780, 1060 and 1255 kJ, mo1-1 respectively. Predict whether the first, ionization enthalpy of S will be closer to, 1000 or 1200 kJ mol-1., Solution :, As we move across the period 3 from left, to right the elements Si, P, S, C1 come, in a sequence. Their outer electronic, configurations are 3s23p2, 3s23p3, 3s23p4 and, 3s23p5 respectively and ‘P’ loses an electron, from a singly occupied 3p orbital whereas, ‘S’ loses an electron from a doubly occupied, 3p orbital. Therefore, the first ionization, enthalpy value of ‘S’ has to be lower than, that of ‘P’. Thus, first ionization enthalpy, of ‘S’ would be less than 1060 kJ mol-1, and, therefore, should be close to 1000 kJ mol-1, and not 1200 kJ mo1-1., , the other the hand, exhibit high positive values, for electron gain enthalpy. Since, the added, electron has to enters the next higher shell, with larger principal quantum number, this is, very unstable electronic configuration due to, very low effective nuclear charge and high, shielding from the core electrons. The alkali, metals have very low negative electron gain, enthalpy values. In general, electron gain, enthalpies are large negative for elements of, the upper right of the periodic table, excluding, the group 18 of noble gases., The trends for electron gain enthalpy values, of the elements in the periodic table are less, regular than the ionization enthalpies. An, overall trend reveals that electron gain, enthalpy becomes more negative with increase, of atomic number along the period upto the, second last element, because the effective, nuclear charge increases across the period and, it is easier to add an electron to a smaller atom., Down the group, the electron has to be add to, farther shell and the electron gain enthalpy,, thus, becomes less negative., , d. Electron gain enthalpy: Addition of, an electron to a neutral atom (X) results in, formation of an anion (X ). The enthalpy, change that takes place when an electron, is added to an isolated gaseous atom in its, ground state is called the electron gain, enthalpy, ∆egH. Electron gain enthalpy is a, quantitative measure of the ease with which an, atom adds an electron forming the anion and is, expressed in units of kJ mol-1., X(g) + e, X (g); ∆egH., ∆egH may be positive or negative, depending upon whether the process of, adding electron is endothermic or exothermic., Elements of group 17 have very high negative, values of electron gain enthalpy. This is because, of they attain stable noble gas electronic, configuration on the addition of one electron., Elements of group 18, noble gases have, on, , 104, , Problem 7.7 :, Identify the element with more negative, value of electron gain enthalpy from the, following pairs. Justify., (i), C1 and Br , (ii) F and O, Solution :, (i) CI and Br belong to the same group of, halogens with Br having higher atomic, number than Cl. As the atomic number, increases down the group the effective, nuclear charge decreases. The increased, shielding effect of core electrons can be, noticed. The electron has to be added to, a farther shell, which releases less energy, and thus electron gain enthalpy becomes, less negative down the group. Therefore, Cl, has more negative electron gain enthalpy, than Br., ....CONTD on next page

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(ii) F and O belong to the same second, period, with F having higher atomic, number than O. As the atomic number, increases across a period, atomic radius, decreases, effective nuclear charge, increases and electron can be added more, easily. Therefore more energy is released, with gain of an electron as we move to, right in a period. Therefore, F has more, negative electron gain enthalpy., e. Electronegativity: When two atoms of, different elements form a covalent bond,, the electron pair is shared unequally. The, ability of a covalently bonded atom to, attract the shared electrons toward itself, is called electronegatively (EN). It is not an, experimentally measurable quantity. A number, of numerical scales of electronegativity were, developed by many scientists. Pauling scale of, electronegativity is the one used most widely., Linus Pauling assigned (1922) arbitrarily a, value of 4.0 for fluorine which is expected to, have the highest value of electronegativity., Table 7.5 shows the values of electronegativity, assigned to some other elements., Electronegativity represents attractive, force exerted by the nucleus on shared, electrons. Electron sharing between covalently, bonded atoms takes place using the valence, electron. The electronegativity depends upon, the effective nuclear charge experienced by, , electron involved in formation of the covalent, bond. Electronegativity increases as we move, across the period. This is because the effective, nuclear charge increases steadily across the, period. The EN decreases down the group. The, size of the valence shell goes on increasing,, the shielding effect of the core electron goes, on increasing and in term the effective nuclear, charge decreases down the group., Electronegativity predicts the nature of the, bond, or, how strong is the force of attraction, that holds two atoms together. (Refer Chapter, 5)., 7.5.3 Periodic trends in chemical properties:, The most fundamental chemical property, of an element is its combining power. This, property is numerically expressed in terms of, valency or valence. Valency of an element, indicates the number of chemical bonds that, the atom can form giving a molecule. Another, frequently used term related to valence is the, oxidation state or oxidation number. Valence, does not have any sign associated with it, but, oxidation number does, and can be either + or, –, which is decided by electronegativities of, atoms that are bonded., The second aspect of chemical property, is the chemical reactivity. The chemical, reactivity is related to the ease with which an, element loses or gains the electrons., The chemical properties of elements are, relate to electronic configuration., , Table 7.5 : Electronegativity (EN) values of some elements (Pauling scale), , Element symbol (EN), Group, , 1, , 2, , 13, , 14, , 15, , 16, , 17, , Period, 1, , H (2.1), , 2, , Li (1.0), , Be (1.5), , B (2.0), , C (2.5), , N (3.0), , O (3.5), , F (4.0), , 3, , Na (0.9), , Mg (1.2), , Al(1.5), , Si (1.8), , P (2.1), , S (2.5), , Cl (3.0), , 4, , K (0.8), , Br (2.8), , 5, , Rb (0.8), , I, , 6, , Cs (0.7), , At (2.2), , 105, , (2.5)

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Group, , Table 7.6 : Periodic trends in valency of main group elements, 1, 2, 13, 14, 15, 16, , 17, , 18, , General outer electronic, configuration, , ns1, , ns2, , ns2np1 ns2np2, , ns2np3, , ns2np4, , ns2np5 ns2np6, , Number of valence, electrons, Valency, , 1, , 2, , 3, , 4, , 5, , 6, , 7, , 8, , 1, , 2, , 3, , 4, , 3,5, , 2,6, , 1,7, , 0, , Formula of hydride, , LiH, , BeH2, , B2H6, , CH4, , NH3, , H2O, , HF, , NaH, , MgH2 AlH3, , SiH4, , PH3, , H2S, , HCI, , KH, , CaH2, , GaH3, , GeH4, , AsH3, , H2Se, , HBr, , Li2O, , BeO, , B2O3, , CO2, , Na2O MgO, , Al2O3, , SiO2, , K2O, , Ga2O2 GeO2, , N2O3, N2O5, P4O6,, P2O5,, As2O3,, As2O5, , Formula of oxide, , CaO, , a. Periodic trends in valency: Valency of the, main group elements is usually equal to the, number of valence electrons (outer electrons), and/or equal to difference between 8 and the, number of valence electrons. Table 7.6 shows, the periodic trends in the valency of main group, elements by taking examples of hydrides and, some oxides., As may be notice form Table 7.6 that, the valency remains the same down the group, and shows a gradual variation across the, period as atomic number increases from left to, right., b. Periodic trends in metallic–nonmetallic, character : The metals, nonmetals and, metalloids appear in separate regions of modern, periodic table: metals on the left, nonmetals, on the right and metalloids along a zig-zag line, separating the two. Metals are characterized, by good electrical conductivity and ability to, form compounds by loss of valence electrons., Nonmetals are characterized by their poor, electrical conductivities and ability to form, compounds by gain of valence electrons in, valence shell. This can be explained in terms of, ionization enthalpy and electron gain enthalpy., , OF2, SO2, SO3, , CI2O7, , SeO2, SO3, , Br2O, , The ionization enthalpy decreases down the, group. The tendency to lose valence electrons,, thus, increases down the group and the, metallic character increases down a group., The ionization enthalpy increases across the, period and consequent metallic character, decreases across a period. Electron gain, enthalpy becomes more and more negative, across the period, it tends to be less negative, down the group. Thus, nonmetallic character, increases across the period and decreases, down the group., c. Periodic trends in chemical reactivity:, Chemical reactivity of elements is decided by, how easily it attains electronic configuration, of the nearest inert gas by gaining or loosing, electrons., The elements preceding an inert gas, react by gaining electrons in the outermost, shell, whereas the elements which follow an, inert gas in the periodic table react by loss of, valence electrons. Thus the chemical reactivity, is decided by the electron gain enthalpy and, ionization enthalpy values, which in turn, are, decided by effective nuclear charge and finally, by the atomic size. The ionization enthalpy is, smallest for the element on the extreme left in, , 106

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a period, whereas the electron gain enthalpy is, most negative for the second last element on, the extreme right, (preceding to the inert gas, which is the last element of a period). Thus,, the most reactive elements lie on the extreme, left and the extreme right (excluding inert, gases) of the periodic table., , Problem 7.8 :, Ge, S and Br belong to the groups 14, 16, and 17, respectively. Predict the empirical, formulae of the compounds those can be, formed by (i) Ge and S, (i) Ge and Br., Solution :, From the group number we understand that, the general outer electronic configuration, and number of valence electrons and, valencies of the three elements are :, , Apart from the metallic-nonmetallic, character the chemical reactivity can be, illustrated by comparing their reaction with, oxygen to form oxides and the nature of the, oxides. The reactive elements on the extreme, left (that is, alkali metals) react vigorously, with oxygen to form oxides (for example, Na2O) which reacts with water to form strong, bases (like NaOH). The reactive elements on, the right (that is, halogens) react with oxygen, to form oxides (for examples Cl2O7) which on, reaction with water form strong acids (like, HCIO4). The oxides of the elements in the, center of the main group elements are either, amphoteric (for example Al2O3), neutral, (for example CO, NO) or weakly acidic (for, example CO2), , Element Group, , Outer, Number, electronic, of, configuration Valence, electron, , Valency, , Ge, , 14, , ns2np2, , 4, , 4, , S, , 16, , ns2np4, , 6, , Br, , 17, , ns2np5, , 7, , 8-6, =2, 8-7, =1, , (i) S is more electronegative than Ge., Therefore, the empirical formula of the, compound formed by these two elements, is predicted by the method of cross, multiplication of the valencies :, Element: Ge , S, Valency: 4 , 2, Formula: Ge2S4, Empirical formula: GeS2, (ii) Br is more electronegative than Ge. The, empirical formula of the compound formed, by these two elements in predicted by the, method of cross multiplication of valencies :, Element: Ge , Br, Valency: 4 , 1, Formula: GeBr4, Empirical formula: GeBr4, , The change in atomic radii of transition, metals and inner transition elements is rather, small. Therefore, the transition metals and, inner transition elements belonging to the, individual series have similar chemical, properties. Their ionization enthalpies are, intermediate between those of s-block and, p - block., , 107

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Problem 7.9, Write the chemical equations for reaction, if any, of (i) Na2O and (ii) Al2O3 with HCl and NaOH, both. Correlate this with the position of Na and Al in the periodic table, and infer whether the, oxides are basic, acidic or amphoteric., Solution, (i), Na2O + 2HCl, 2NaC1 + H2O, Na2O + NaOH No reaction, As Na2O reacts with an acid to form salt and water it is a basic oxide. This is because, Na is a reactive metal lying on the extreme left of the periodic table., (ii), Al2O3 + 6HCI 2AlCl3 + 3H2O, Al2O3⊕ 2NaOH 2Na AlO2 + H2 O, As Al2O3 reacts with an acid as well as base to form a salt and water. It is an amphoteric oxide. Al is a moderately reactive element lying in the centre of main group elements in the, periodic table., , Exercises, 1. Explain the following, A. The elements Li, B, C, Be and N have, the electronegativities 1.0, 2.0, 1.5 and, 3.0, respectively on the Pauling scale., B. The atomic radii of Cl, I and Br are 99,, 133 and 114 pm, respectively., C. The ionic radii of F and Na⊕ are 133, and 98 pm, respectively., D. 13Al is a metal, 14Si is a metalloid and, P is a nonmetal., 15, E. Cu forms coloured salts while Zn forms, colourless salts., 2. Write the outer electronic configuration, of the following using orbital notation, method. Justify., A. Ge (belongs to period 4 and group 14), B. Po (belongs to period 6 and group 16), C. Cu (belongs to period 4 and group 11), 3. Answer the following, A. La belongs to group 3 while Hg belongs, to group 12 and both belong to period 6, of the periodic table. Write down the, general outer electronic configuration of, the ten elements from La to Hg together, using orbital notation method., B. Ionization enthalpy of Li is 520 kJ mol-1, while that of F is 1681 kJ mol-1. Explain., C. Explain the screening effect with a, suitable example., , D. Why the second ionization enthalpy is, greater than the first ionization enthalpy, ?, E. Why the elements belonging to the same, group do have similar chemical, properties ?, F. Explain : electronegativity and electron, gain enthalpy. Which of the two can be, measured experimentally?, 4. Choose the correct option, A. Consider the elements B, Al, Mg and K, predict the correct order of metallic, character :, a. B > Al > Mg > K, b. Al > Mg > B > K, c. Mg > Al > K > B, d. K > Mg > Al > B, B. In modern periodic table, the period, number indicates the :, a. atomic number, b. atomic mass, c. principal quantum number, d. azimuthal quantum number, , 108

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C. The lanthanides are placed in the, periodic table at, a. left hand side, b. right hand side, c. middle, d. bottom, D. If the valence shell electronic, configuration is ns2np5, the element will, belong to, a. alkali metals, b. halogens, c. alkaline earth metals, d. actinides, E. In which group of elements of the modern, periodic table are halogen placed ?, a. 17 , b. 6, c. 4 , d. 2, F. Which of the atomic number represent, the s-block elements ?, a. 7, 15, b. 3, 12, c. 6, 14, d. 9, 17, G. Which of the following pairs is NOT, isoelectronic ?, a. Na⊕ and Na, b. Mg2⊕ and Ne, c. Al3⊕ and B3⊕, d. P3 and N3, H. Which of the following pair of elements, has similar properties ?, a. 13, 31, b. 11, 20, c. 12, 10, d. 21, 33, 5. Answer the following questions, A. The electronic configuration of some, elements are given below:, a. 1s2, b. 1s2 2s2 2p6, In which group and period of the, periodic table they are placed ?, B. For each of the following pairs, indicate, which of the two species is of large size :, a. Fe2+ or Fe3+ b. Mg2+ or Ca2+, C. Select the smaller ion form each of the, following pairs:, a. K+ , Li+, b. N3-, F-, , D. With the help of diagram answer the, questions given below:, Li, , Be, , O, S, , a. Which atom should have smaller, ionization enthalpy, oxygen or sulfur?, b. The lithium forms +1 ions while, berylium forms +2 ions ?, E. Define : a. Ionic radius, , b. Electronegativity, F. Compare chemical properties of metals, and non metals., G. What are the valence electrons ? For, s-block and p-block elements show that, number of valence electrons is equal to, its group number., H. Define ionization enthalpy. Name the, factors on which ionisation enthalpy, depends? How does it vary down the, group and across a period?, I. How the atomic size vary in a group and, across a period? Explain with suitable, example., J. Give reasons., a. Alkali metals have low ionization, enthalpies., b. Inert gases have exceptionally high, ionization enthalpies., c. Fluorine has less electron affinity than, chlorine., d. Noble gases possess relatively large, atomic size., K. Consider the oxides Li2O, CO2, B2O3., a. Which oxide would you expect to be, the most basic?, b. Which oxide would be the most acidic?, c. Give the formula of an amphoteric, oxide., , Activity :, Prepare a wall mounting chart of the, modern periodic table., , 109

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8. Elements of Groups 1 and Group 2, We have seen in chapter 7 that the element, of group 1 and group 2 belong to the s-block of, the modern periodic table., Can you recall?, 1. Which is the first element in the, periodic table ?, 2. What are isotopes ?, 3. Write the formulae of the compounds, of hydrogen formed with sodium and, chlorine., Hydrogen is the first element in the, periodic table. Hydrogen appears at the top of, group 1 of the alkali metals. But it differs from, alkali metals in a number of respects and,, therefore, is studied separately., 8.1 Hydrogen : Hydrogen has the simplest, atomic structure of all the elements. A hydrogen, atom consists of a nucleus of charge +1 and, one extranuclear electron. Hydrogen has a, little tendency to lose this electron however, can pair with the other electron easily forming, a covalent bond. It exists in diatomic form, as H2 molecule; therefore it is often called, dihydrogen., 8.1.1 Occurrence : In the free state hydrogen, exists as dihydrogen gas. Hydrogen is most, abundant element in the universe; it makes 70, % of the total mass of the universe. Hydrogen, is also the principal element in the solar, system. On the earth, hydrogen is the tenth, most abundant element on mass basis and the, third most abundant element on atom basis., 8.1.2 Position of hydrogen in the periodic, table : Position of hydrogen in the periodic, table has been a subject of discussion., , Electronic configuration of hydrogen is, 1s1 which is similar to ns1 which is the outer, electronic configuration of alkali metals, belonging to the group 1. But 1s1 also resembles, the outer electronic configuration of group, 17 elements, which is ns2np5. By adding one, electron to H we get electronic configuration, of the inert gas He which is 1s2 and by, adding one electron to ns2np5 we get ns2np6, which is the outer electronic configuration, of the remaining inert gases. Some chemical, properties of hydrogen are similar to those of, alkali metals while some resemble halogens., The uniqueness of hydrogen is that H⊕ formed, by loss of the electron from hydrogen atom, does not exist freely. It is always associated, with other molecules. For example:, H⊕ + H2O, H3O⊕, This is because H⊕ is nothing else but, a proton. Hydrogen is, therefore, placed, separately above the group 1. It may be noted,, here, that metastable metallic hydrogen was, discovered at Harvard university, USA, in, January 2017., 8.1.3 Isotopes of Hydrogen : If different, atoms of the same element have different, mass numbers they are called isotopes of each, other. (Refer to chapter 4). Hydrogen has three, isotopes with mass numbers 1, 2 and 3. They, all contain one proton and one electron but, different number of neutrons in the nucleus., (see figure 8.1 and table 8.1), , p, , 1, 1, , Can you tell?, , H, , Hydrogen, , In which group should hydrogen be, placed ? In group 1 or group 17 ? Why ?, , p n, , 2, 1, , H, , Deuterium, , n, p n, , 3, 1, , H, , Tritium, , Figure 8.1 Isotopes of hydrogen, , 110

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Table 8.1 : Characteristics of isotopes of hydrogen, Name of the, Isotope, , Symbol, , Atomic, number Z, , Atomic, mass, number A, , Neutron, number N, , Abundance, , Stability, , Hydrogen, , H or 11 H or H-1, , 1, , 1, , 0, , 99.98 %, , Stable, , Deuterium, , D or 21 H or H-2, , 1, , 2, , 1, , 0.015 %, , Stable, , Tritium, , T or 31 H or H-3, , 1, , 3, , 2, , Trace, , Ratio, active, , Do you know ?, Tritium 31 H is a radioactive, nuclide with half life period 12.4 years, and emits low energy β particles., , electrolysis, of acid or akali, , 2H2O (l) trace, , 2H2↑ + O2↑, , Pure dihydrogen (> 99.5% purity) gas is, obtained by electrolysis of warm solution of, barium hydroxide between nickel electrodes., ii. From carbon or hydrocarbon: Three, stages are involved in this industrial process, of preparation of dihydrogen., , CH4(g) + H2O(g) 1270 K CO(g) + 3H2(g), Ni, , , water-gas, As water-gas is used for synthesis of CH3OH, and a number of hydrocarbons, it is also called, ‘syngas’. Production of syngas is also the first, stage of gasification of coal., , }, , 8.1.4 Preparation of dihydrogen, Hydrogen can be prepared using many, methods., A. Laboratory methods, i. Dihydrogen is prepared in laboratory by the, action of dilute hydrochloric acid on zinc, granules., Zn(s) + 2HCl(aq) → ZnCl2(aq) + H2(g), ii. Dihydrogen can be prepared by the action, of aqueous solution of sodium hydroxide on, zinc., Zn(s) + 2NaOH(aq) → Na2ZnO2(aq) +, H2(g), B. Industrial methods, i. By electrolysis of pure water: Pure water is, a poor conductor of electricity. Therefore a, dilute aqueous solution of acid or alkali is, used to prepare dihydrogen by electrolysis., For example, electrolysis of dilute aqueous, solution of sulphuric acid yields two volumes, of hydrogen at cathode and one volume of, oxygen at anode., , Stage 1 : Reaction of steam on hydrocarbon, or coke (C) at 1270 K temperature in presence, of nickel catalyst, gives water-gas, which is a, mixture of carbon monoxide and hydrogen., , 1270 K, , C(s) + H2O (g), CO(g) + H2(g)., Sawdust, scrapwood, etc. can also be used in, place of carbon., Stage 2 : Water-gas shift reaction: The carbon, monoxide in the watergas is transformed, into carbondioxide by reacting with steam in, presence of iron chromate as catalyst. This is, called water-gas shift reaction., CO(g) + H2O(g), , 673 K, iron chromate, catalyst, , CO2(g) + H2(g), , Stage 3 : Carbon dioxide is removed by, scrubbing with sodium arsenite solution., Today major industrial production of, dihydrogen is from petrochemicals (∼ 77 %),, about 18 % from coal, about 4 % by electrolytic, methods and about 1 % by other methods., 8.1.5 Properties of dihydrogen, A. Physical properties : Dihydrogen is, colourless, tasteless and odourless gas. It burns, with a pale blue flame. It is a nonpolar water, insoluble gas, lighter than air., , 111

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B. Chemical properties :, i. Reaction with metals : Dihydrogen, combines with all the reactive metals such as, alkali metals, calcium, strontium and barium, at high tempereture, to form metal hydrides., For example :, 2Na(s) + H2(g), 2NaH(s), (In this respect dihydrogen is similar to, halogens which also react with metals and, form metal halides.), , CuO(s) + H2(g), Fe3O4 (s) + 4 H2(g), , The hydrogenation of unsaturated organic, compounds such as oil using nickel caralyst, gives saturated organic compounds such as, solid fat (vanaspati Ghee)., , (Vegetable oil), , + H2, , Ni, , CH - C H, (Saturated fat), , 7.1.6 Uses of dihydrogen, i. Largest use of dihydrogen is in production, of ammonia., ii. Dihydrogen is used in formation of, vanaspati ghee by catalytic hydrogenation, of oils., , The bond dissociation energy of, H-H bond is high, which is 436 kJ mol-1., Therefore reactions of dihydrogen take place, at high temperature and /or in the epresence, of catalyst., , iii. Liquid dihydrogen is used as a rocket fuel., , ii. Reaction with dioxygen: Dihydrogen reacts, with dioxygen in the presence of catalyst or by, heating to form water. This reaction is highly, exothermic., catalyst, or heating, , Pd(s) + 2H⊕(aq), , b. Hydrogenation of unsaturated organic, compound, , C=C, , Do you know ?, , 2H2(g) + O2(g), , 3Fe(s) + 4H2O(l), , Pd2⊕(aq) + H2 (g), , Just think, In the above chemical reaction, which element does undergo oxidation, and which does undergo reduction ?, , Cu(s) + H2O(l), , iv. Dihydrogen is used in preparation of, important organic compounds like, methanol in bulk quantity., 2H2(g) + CO(g), , Cobalt catalyst, , CH3OH(l), , v. Dihydrogen is used for preparation of, hydrogen chloride (HCl) and metal, hydrides., , 2H2O(l) ;, ∆H = -235 kJ mol-1, , iii. Reaction with halogens: Dihydrogen, inflames with fluorine even at -2500 C in, dark, whereas it requires catalyst to react with, iodine. The vigour of reaction of dihydrogen, decreases with increasing atomic number of, halogen., H2 (g) + X2(g) → 2HX(g), (In this respect dihydrogen resembles alkali, metals which also react with halogens to form, halides.), iv. Reducing nature of dihydrogen :, a. Dihydrogen reduces oxides and ions of, metals those are less reactive than iron, to the, corresponding metals at moderate temperature., For example :, , 112, , Problem 8.1 : Justify the placement of, hydrogen in the group of alkali metals, with the help of reaction with halogens., Solution :, Hydrogen on reaction with halogen (X2), gives compounds with general formula, HX. For example : H2 + Cl2, 2HCl, similarly alkali metals (M) on reaction, with halogens (X2) give compounds with, general formula MX., For examples : 2Na + Cl2, 2NaCl, Thus, H2 and alkali metal are monovalent, elements more electropositive than, halogens. This similarily justifies the, place of hydrogen in the group 1.

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8.2.3 Trends in atomic and physical properties, of elements of group 1 and group 2, All the alkali metals are silvery white, and soft. Due to their large atomic size these, elements have low density. They are the most, electropositive elements. The alkaline earth, are metals also in general silvery white lustrous, , and soft, but harder than the alkali metals. They, are also strongly electropositive in nature., But comparatively less electropositive than, the alkali metals. Some atomic and physical, properties of the alkali metals and the alkaline, earth metals are listed in the tables 8.4 and 8.5, respectively., , Table 8.4 : Physical properties of group 1 elements (except hydrogen), Symbol, , Atomic, radius, (pm), , Ionic, radius, (pm), , Density, (g/cm-3), , Ionization, enthalpy, (kJ mol-1), , Electronegativity, , Melting, point (K), , Abundance, in the, lithosphere, , Standard, reduction, potential, Eo (V), , Li, , 152, , 76, , 0.54, , 520, , 1.0, , 454, , 18 ppm, , -3.04, , Na, , 186, , 102, , 0.97, , 496, , 0.9, , 371, , 2.27 %, , -2.714, , K, , 227, , 138, , 0.86, , 419, , 0.8, , 336, , 1.84 %, , -2.925, , Rb, , 248, , 152, , 1.53, , 403, , 0.8, , 312, , 78.12 ppm, , -2.930, , Cs, , 265, , 167, , 1.90, , 376, , 0.7, , 302, , 2.6 ppm, , -2.927, , Fr, , -, , (180), , -, , ∼375, , -, , -, , -10 ppm, , -, , -18, , Table 8.5 : Physical properties of group 2 elements, Ionization, Symbol, , Atomic, radius, (pm), , Ionic, radius, (pm), , Density, (g/cm-3), , enthalpy, ( kJ mol-1), 1st, , 2nd, , Electronegativity, , Melting, point, (K), , Abundance, in the, lithosphere, , Standard, reduction, potntial, E0 (V), , Be, , 111, , 31, , 1.84, , 899, , 1757, , 1.5, , 1560, , 2 ppm, , -1.97, , Mg, , 160, , 72, , 1.74, , 737, , 1450, , 1.2, , 924, , 2.76 %, , -2.36, , Ca, , 197, , 100, , 1.55, , 590, , 1145, , 1.0, , 1124, , 4.6 %, , -2.84, , Sr, , 215, , 118, , 2.63, , 549, , 1064, , 1.0, , 1062, , 384 ppm, , -2.89, , Ba, , 222, , 135, , 3.59, , 503, , 965, , 0.9, , 1002, , 390 ppm, , -2.92, , Ra, , -, , 148, , (5.5), , 509, , 979, , -, , 973, , 10-6 ppm, , -2.92, , Unipositive ions of all the elements of, group 1 have inert gas configuration. Thus, they have no unpaired electron and their, compounds are diamagnetic and colourless., The divalent ions of group 2 elements also, have inert gas configuration with no unpaired, electron, and therefore their compounds are, also diamagnetic and colourless. Lithium and, beryllium differ from the rest of the elements, of the groups 1 and 2, respectively because of, their extremely small size and comparatively, high electronegativity., The physical properties of group 1 and, group 2 elements show reasonable regularity, in the periodic trends. Thus the atomic and, ionic radii and densities increase down, , 114, , both the groups. Ionization enthalpies and, electronegativities decrease down both the, groups. The elements of both these groups, in, general, have high negative values of standard, reduction potentials., 8.2.4 Chemical properties of elements of, group 1 and group 2, The alkali metals and alkaline earth, metals are very reactive in nature. As a result of, this they are always found in combined state., Their reactivity is due to their low ionization, ehthalpy values in general. The reactivity, of these metals increases with increasing, atomic radius and corresponding lowering of, lonization enthalpy down the groups 1 and 2, can be noticed.

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Problem 8.4:, What is the oxidation state of Na in, Na2O2?, Solution: The peroxide species is, represented as O22−. Any compound is, electrically neutral. Therefore oxidation, state of each Na is (+2/2 = +1) in, Na2O2., , Problem 8.2:, Sodium forms ionic compounds having, formulae NaCl, NaH and Na2CO3. Explain, Solution: Let us rewrite the formulae, of the compounds of sodium showing, charges on the concerned cation and, basic anion., Na⊕Cl , Na⊕H , 2Na⊕ CO32, It is seen that in all these compounds, Na carries one positive charge. The Na⊕, is formed from Na atom by losing one, electron. Na → Na⊕+ e, This happens because the electronic, configuration of Na is [Ne]3s1. There is, only one electron in the valence shell of, Na. It can easily be lost as the ionization, enthalpy is low. And Na⊕ ion so formed, is stable as it has stable electronic, configuration of the inert gas Ne., , Problem 8.3 : Explain the observed, values 496 kJ/mol and 737 kJ/mol of the, first ionization enthalpies of Na and Mg,, respectively., Solution : The electronic configuration, of Na is [Ne]3s1 and that of Mg is, [Ne]3s2. During the first iouization only, one electron is removed from a neutral, atom., st, Na 1 ionisation Na⊕ + e, st, Mg 1 ionisation Mg⊕ + e, The resulting Na is isoelectronic with Ne,, and therefore, is stable. Thats why Na, has low value of 1st ionization enthalpy., However, to form the unipositive Mg⊕, ion energy is required to unpair these, electrons in the valency shell and also, remove one electron to form the ion, having electronic configuration [Ne] 3s1., It is not as stable as Na since it does not, correspond to any inert gas. Therefore the, first ionization enthalpy of Mg is higher, than that of Na., , Problem 8.5 :, The atomic radii of Na, K and Mg, are 186, 227 and 160 pm, respectively., Explain the differences., Solution : Na and K both belong to the, group 1. K has larger valence shell than, Na. Therefore the atomic radius of K, is larger than that of Na. Na and Mg, belong to the same period. Therefore both, have the same valence shell. But the, nuclear charge of Mg is larger than that, of Na. Therefore, the valence electrons of, Mg are held more tightly and its atomic, radius is smaller than that of Na., The elements of group 1 and group 2 both, being s-block elements, show similarily in, their chemical properties. The differences are, due to variation in the atomic radii, ionization, enthalpies and valencies., i. Reaction with oxygen/air, Group 1 - All the elements of group 1 rapidly, lose their luster in air due to formation of a, layer of oxide, on peroxide and in some cases, superoxide by reaction with oxygen in air., 2Li + O2, 2LiO, (Lithium, oxide), , 2Na + O2, Na2O2, (Sodium peroxide), K + O2, KO2, (Potassium superoxide), , Do you know ?, •, , 115, , The reaction of Na and K with oxygen, is highly exothermic and these metals, catch fire when exposed to air.

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•, , •, , Potassium superoxide has ability to, absorb carbon dioxide and give out, oxygen at the same time:, 4KO2 + 2CO2 → 2K2CO3 + 3O2↑, This property of KO2 has been made, use of in breathing equipment used, for mountaineers and in submarines, and space., , The oxides of group 1 metals are strongly, basic in nature. They dissolve in water, forming aqueous solutions of strong alkali., For example, 2LiO(s) + H2O(l) → 2LiOH(aq), Group 2 : These metals are protected from, air oxidation by an oxide film formed on their, surface., All the elements of group 2 burn when ignited, in air forming MO type oxides. The product is, a mixture of oxide and nitride., 2Mg + O2 → 2MgO, 3Mg + N2 → Mg3N2, Further heating of the oxide in air results in, formation of peroxide., ii. Reaction with water, Group 1 : Lithium, sodium and potassium all, float on water due to hydrogen bubbles released, on reaction with water. Lithium reacts slowly, but sodium and potassium react vigrously, with water. Due to highly exothermic reaction, sodium and potassium catch fire when put in, water., 2Na + 2H2O → 2Na OH + H2↑, Group 2 : The elements of group 2 react, with water to form metal hydroxide and, hydrogen. Beryllium does not react with, water. Magnesium decomposes hot water,, other elements react with cold water forming, metal hydroxide M(OH)2 and hydrogen gas., Ca + 2H2O → Ca(OH)2↓ + H2↑, iii. Reaction with Hydrogen, Group 1 : Alkali metals react with hydrogen, at high tempereture to form the corresponding, metal hydrides., 673 K, 2M+ H2M + H2, , Group 2 : All the metals of group 2, except, beryllium, when heated with hydrogen form, MH2 type hydrides., M + H2, MH2, Problem 8.6 : NaCl is an ionic, compound but LiCl has some covalent, character, explain., Solution: Li⊕ ion has very small size,, therefore the charge density on Li⊕ is, high. Therefore it has high tendency, to distort the electron cloud around the, negatively charged large chloride ion., This results in partial covalent character, of the LiCl bond. Na⊕ ion cannot distort, the electron cloud of Cl due to the, bigger size of Na⊕ compared to Li⊕., iv. Reaction with Halogens, Group 1 : All the alkali metals react vigorously, with halogens to produce their ionic halide, salts., 2M + X2, 2M+ XGroup 2: All the alkaline earth metals, combine with halogens at high temperature to, form halides., M + X2, MX2, v. Reducing nature, Group 1 : The reducing power of an, element is measured in terms of standard, electrode potential (E0) corresponding to the, transformation M⊕(aq) + e → M (s). All the, alkali metals have high negative values of, E0 indicative of their strong reducing nature,, lithium is the most powerful and sodium is the, least powerful in the group. (see Table 8.4), Group 2 : All the alkaline earth metals have, high negative values of standard reduction, potential (E0). (see Table 8.5), and are strong, reducing agents. However their reducing power, is less than those of alkali metals., vi Solution in liquid ammonia, Group 1 : The alkali metals are soluble in, liquid ammonia giving deep blue coloured, solutions which show electrical conductivity., M + (x + y)NH3 → [M(NH3)x]⊕ + [e(NH3)y], , 116

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The ammoniated electron is responsible, for the deep blue colour of these solutions., These solutions are paramagnetic and on, standing liberate hydrogen slowly, resulting in, formation of the metal amide. The blue colour, changes to bronze and the solution becomes, diamagnetic., M⊕(am) + e (am) + NH3 (l) → MNH2(am), + H2(g), (Here (am) denotes solution in ammonia.), Group 2 : Similar to alkali metals the alkaline, earth metals are also soluble in liquid ammonia, which give deep blue black coloured solutions., M + (x + 2y) NH3 →[M(NH3)x]2⊕+ 2[e(NH3)y], 8.2.5 Diagonal Relationship : It is expected, that elements belonging to the same group, exhibit similarity and gradation in their, properties. The first alkali metal lithium and, the first alkaline earth metal beryllium do not, fulfil this expectation. Thus, lithium shows, many differences when compared with the, , remaining alkali metals and resembles with, magnesium, the second alkaline earth metal., Likewise beryllium shows many differences, with remaining alkaline earth metals and, shows similarity with aluminium, the second, element of the next main group (group 13)., The relative placement of these elements with, similar properties in the periodic table appears, to be across a diagonal (see. Table 8.6) and is, called diagonal relationship., Table 8.6 : Diagonal relationship, Main Group, Period, , 1, , 2, , 13, , 2, 3, , Li, Na, , Be, Mg, , B, Al, , The table 8.7 shows some properties of, lithium and magnesium which elucidate their, diagonal relationship., , Table 8.7 : Ressemblence between Li and Mg, Products of thermal, Property of, Criterion Products of, decomposition of carbonate, chloride, reaction with air, air, ∆, ?, M2CO3/MCO3, ?, M, Element, , Formula of, crystalline, chloride, , Li, , Li2O + Li3N, , Li2O + CO2, , deliquescent, , LiCl.2H2O, , Mg, , MgO + Mg3 N2, , MgO + CO2, , deliquescent, , MgCl2.8H2O, , Group 1, (except Li), , M2O/M2O2/MO, , No reaction, , Not, deliquescent, , MCl, , Group 2, , MO + M3N2, , MO + CO2, , deliquescent, , MCl2.xH2O, , In table 8.8 some properties of Be and Al are shown which indicate the diagonal relationship, Table 8.8 : Resemblence between Be and Al, Properties of chloride, Criterion, Properties of oxide, Solubility, Whether Lewis, Acidic/Basic/Amphoteric, Nature of bonding, in organic, Element, acid, solvent, Covalent, chain structure with, Amphoteric, Cl bridges, BeCl2 is strong, Soluble, Be, Cl, Cl, Lewis acid, BeO+2HCl, BeCl2+H2, Be, Be, Be, BeO+2NaOH Na2BeO2+H2O, Cl, , Cl, , 117

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Covalent, dimer with Cl, bridges, Al, , Cl, , Cl, , Al, Cl, , Amphoteric, Cl, , Al, Cl, , Cl, , AlCl3 is strong, Lewis acid, , Soluble, , Al2O3 + 6HCl, Al2O3+2NaOH, , 2AlCl3+3H2O, 2NaAlO2+H2O, , Group 2, , Ionic, , Not, Lewis acid, , Basic, Insoluble MO+HCl → MCl2 + H2, MO + NaOH→ No reaction, , Group 13, , Covalent, , Lewis acid, , Soluble, , The diagonal relationship between the, elemental pairs belonging to different groups, and periods is due to the similarity in some of, their atomic properties. Thus atomic and ionic, radii of Li and Mg are very similar. (see the, table 8.4). In the case of Be and Al the charge, to radius ratio of their ions is very similar. (Be, 2, 3, and Al :, ), :, 31, 53.55, 8.2.6 Uses of elements of group 1 and group 2, Group 1, i. Lithium metal is used in long-life batteries, used in digital watches, calculators and, computers., ii. Liquid sodium has been used for heat, transfer in nuclear power station., iii. Potassium chloride is used as a fertilzer., iv. Potassium is used in manufacturing, potassium superoxide (KO2) for oxygen, generation. It is good absorbent of carbon, dioxide., v. Caesium is used in photoelectric cells., Group 2, i. Beryllium is used as a moderator in, nuclear reactors., ii. Alloy of magnesium and aluminium is, widely used as structural material and in, aircrafts., iii. Calcium ions are important ingredient in, biological system, essential for healthy, growth of bones and teeth., iv. Barium sulphate is used in medicine as, barium meal for intestinal x-ray., , 118, , v., , Amphoteric, , Radium is used in radiotherapy for cancer, treatment., 8.2.7. Biological importance of elements of, group 1 and group 2, Group 1, i., Sodium ion is present as the largest, supply in all extracellular fluids. These, fluids provide medium for transportting, nutrients to the cells., ii. The concentration of sodium ion in, extracellular fluids regulates the flow of, water across the membrane., iii. Sodium ions participate in the, transmission of nerve signals., iv. Potassium ions are the most abundant, ions within cells. These are required for, maximum efficiency in the synthesis of, proteins and also in oxidation of glucose., Group 2, i. Mg2⊕ ions are important part of, chlorophyll in green plants., ii. Mg2⊕ ions play an important role in the, breakge of glucose and fat molecules, in, synthesis of proteins with enzymes, and, in regulation of chlolesterol level., iii. Ca2⊕ ions are important for bones and, teeth in the form of apatite [Ca3(PO4)2], iv. Ca2⊕ ions play important role in blood, clotting., v. Ca2⊕ ions are required for contraction and, stretching of muscles., vi. Ca2⊕ ions are also required to maintain, the regular beating of heart.

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Problem 8.7 : Magnesium strip slowly, tarnishes on keeping in air but metallic, calcium is readily attacked by air. Explain., Solution: Mg and Ca belong to group 2,, but periods 2 and 3, respectively. During the, reaction with air the metallic Mg and Ca, lose their valence electrons. The tendency, to lose valence electron is the metallic, character, which increases down the group., Thus, calcium has higher metallic character,, greater tendency to lose valence electron and, lower ionization enthalpy than magnesium., Therefore Mg reacts slowly with air,, forming a thin film of oxide, resulting into, tarnishing, whereas Ca reacts readily at, room temperature with oxygen and nitrogen, in the air., , In the second stage the separated crystals, of sodium bicarbonate are heated to obtain, sodium carbonate., ∆, Na2CO3(s) + H2O(g), 2 NaHCO3(s), , + CO2(g), In this process the recovery of ammonia is, done by treating the solution of NH4Cl obtained, with slaked lime, Ca(OH)2. The byproduct of, this reaction is calcium chloride., 2 NH4Cl(aq) + Ca(OH)2(s), 2 NH3(g), + CaCl2(aq) + H2O(l), , 8.3 Some important compounds of elements, of s-block, In this section we consider five important, compounds of s-block elements with reference, to their prepartion, properties and uses., 8.3.1. Sodium Carbonate (washing soda), Na2CO3. 10H2O, Prepartion:, Sodium, Carbonate, is, commercially prepared by Solvay process., In the first stage of process CO2 is passed, into a concentrated solution of NaCl which, is saturated with NH3. Crystals of sodium, bicarbonate separate as a result of the, following reactions., Reactions in the first stage:, 2 NH3(aq) + H2O + CO2 (g) (NH4)2 CO3(aq), (NH4)2CO3(aq) + H2O + CO2(aq), 2 NH4HCO3(aq), NH4HCO3(aq) + NaCl(aq), NH4Cl(aq), + NaHCO3(s), Sodium bicarbonate has low solubility,, and therefore its crystals precipitate out, which are formed as a result of the double, decomposition reaction between ammonium, bicarbonate and sodium chloride., , Properties : Sodium carborate (washing soda), is a white crystalline solid having the formula, Na2CO3, 10H2O. It is highly soluble in water., On heating the decahyadrate loses water, molecules to form monohydrate. On heating, above 373 K temperature monohydrate further, loses water and changes into white anhydrous, powder called soda-ash., Na2CO3.10H2O(s) 373 K Na2CO3.H2O(s) +, 9H2O(g), > 373 K, Na2CO3.H2O(s), Na2CO3(s)+H2O(g), Aqueous solution of sodium carbonate is, alkaline because of its hydrolysis by the, following reaction:, Na2CO3 + H2O → NaHCO3 + NaOH, Uses, i. The alkaline properties of sodium carbonate, are responsible for emulsifying effect on, grease and dirt. It is used as cleaning material., ii. It is used to make hard water soft (as a water, softener), as it precipitates out the soluble, calcium and magnesium salts in hard water as, carbonates. For example : Ca(HCO3)2(aq) +, Na2CO3(aq) → CaCO3(s), + 2NaHCO3(aq), iii. It is used for commercial production of, soap and caustic soda., iv. It is an important laboratory reagent., , Do you know ?, Potassium carbonate can not be, prepared by Solvay process because, potassium hydrogen carbonate is highly, water soluble and cannot be precipitated, by reaction with potassium choride., , 119

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8.3.2 Sodium hydroxide (caustic soda), NaOH, Preparation : Sodium hydroxide is, commercially obtained by the electrolysis of, saturated aqueous solution of sodium chloride., Brine solution is subjected to electrolysis, in Castner-Kellner cell. Mercury is used as, cathode and carbon rod as anode. Metallic, sodium liberated at the cathode forms sodium, amalgam. Chlorine gas is evolved at the, anode., Cathode reaction: Na⊕+e Hg Na-amalgam, Anode reaction: Cl, , 1/2 Cl2, , Properties, Calcium carbonate is soft, light, white powder., It is practically water insoluble. On heating to, 1200 K calcium carbonate decomposes into, calcium oxide and carbon dioxide., CaCO3(s) 1200 K CaO(s) + CO2↑, It reacts with dilute acids to give the, corresponding calcium salt and carbon, dioxide., CaCO3 + 2HCl → CaCl2 + CO2 ↑+ H2O, CaCO3 + H2SO4 → CaSO4 + CO2↑+ H2O, Uses:, i. Calcium carbonate in the form of marble, is used as building material., ii. Calcium carbonate is used in the, manufacture of quicklime (CaO) which is, the major ingredient of cement., iii. A mixture of CaCO3 and MgCO3 is used as, flux in the extraction of metals from ores., iv. It is required for the manufacture of high, quality paper., v. It is an important ingredient in toothpaste,, chewing gum, dietary suppliments of, calcium and filler in cosmetics., 8.3.4 Hydrogen peroxide (H2O2) : Hydrogen, peroxide is a low cost, clean and mild oxidising, agent. A 30% aqueous solution hydrogen, peroxide is commercially available., Preparation :, i. Hydrated barium peroxide is treated with, ice cold dilute sulfuric acid. The precipitate of, barium sulphate formed is filtered off to get, hydrogen peroxide solution., , +e, , Sodium hydroxide is obtained by treating, sodium amalgam with water, when hydrogen, gas is liberated., 2Na -Hg + 2H2O, 2NaOH + 2Hg + H2, Properties : Sodium hydroxide is a white, deliquescent solid, having melting point 591 K., It is highly water soluble and gives a strongly, alkaline solution. The surface of the solution, absorbs atmospheric CO2 to form Na2CO3., Uses, i. Sodium hydroxide is used in purification of, bauxite (the aluminium ore)., ii. It is used in commercial production of soap,, paper, artificial silk and many chemicals., iii. It is used for mercerising cotton fabrics., iv. It is used in petroleum refining., v. It is an important laboratory reagent., 8.3.3 Calcium Carbonate (CaCO3), Calcium carbonate is found in nature as chalk,, lime stone, marble., Preparation, i. When carbon dioxide is bubbled through, solution of calcium hydroxide (slaked lime), water insoluble solid calcium carbonate is, formed., CaCO3(s) + H2O(l), Ca(OH)2(aq) + CO2(g), Excess carbon dioxide transforms the, precipitate of CaCO3 into water soluble calcium, bicarbonate and therefore has to be avoided., ii. When solution of calcium chloride is added, to a solution of sodium carbonate, calcium, carbonate is formed as precipitate., CaCl2(aq)+Na2CO3(aq), , CaCO3(s)+ 2NaCl(aq), , low temp, , BaO2.8H2O(s) + H2SO4(aq) 273 K, BaSO4↓, , + H2O2(aq) + 8H2O(l), ii. Small quantity of sodium peroxide is added, to ice-cold solution of dilute sulfuric acid, with strirring gives hydrogen peroxide (Merck, process)., Na2O2 (aq) + H2SO4 (aq), , 273 K, , H2O2 (aq), + Na2SO4 (aq), iii. A 50 % solution of sulfuric acid is, subjected to an electrolytic oxidation to form, peroxydisulfuric acid at anode., Electrolysis, 2HSO4, H2S2O8 + 2e, , 120

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Exercises, 1. Explain the following, A. Hydrogen shows similarity with alkali, metals as well as halogens., B. Standard reduction potential of alkali, metals have high negative values., C. Alkaline earth metals have low values, of electronegativity; which decrease, down the group., D. Sodium dissolves in liquid ammonia to, form a solution which shows electrical, conductivity., E. BeCl2 is covalent while MgCl2 is ionic., F. Lithium floats an water while sodium, floats and catches fire when put in, water., 2. Write balanced chemical equations for, the following., A. CO2 is passed into concentrated, solution of NaCl, which is saturated, with NH3., B. A 50% solution of sulphuric acid is, subjected to electrolyte oxidation and, the product is hydrolysed., C. Magnesium is heated in air., D. Beryllium oxide is treated separately, with aqueous HCl and aqueous NaOH, solutions., 3. Answer the following questions, A. Describe the diagonal relationship, between Li and Mg with the help of, two illustrative properties., B. Describe the industrial production of, dihydrogen from steam. Also write the, chemical reaction involved., C. A water sample, which did not give, lather with soap, was found to contain, Ca(HCO3)2 and Mg(HCO3)2. Which, chemical will make this water give, lather with soap? Explain with the help, of chemical reactions., D. Name the isotopes of hydrogen., Write their atomic composition, schematically and explain which of, these is radioactive ?, , 4. Name the following, A. Alkali metal with smallest atom., B. The most abundant element in the, universe., C. Radioactive alkali metal., D. Ions having high concentration in cell, sap., E. A compound having hydrogen,, aluminium and lithium as its constituent, elements., 5. Choose the correct option., A. The unstable isotope of hydrogen is ....., a. H-1 , b. H-2, c. H-3 , d. H-4, B. Identify the odd one., a. Rb , b. Ra, c. Sr , d. Be, C. Which of the following is Lewis acid ?, a. BaCl2 , b. KCl, c. BeCl2 , d. LiCl, D. What happens when crystalline Na2CO3, is heated ?, a. releases CO2, b. loses H2O, c. decomposes into NaHCO3, d. colour changes., , Activity :, 1. Collect the information of preparation of, dihydrogen and make a chart., 2. Find out the s block elements compounds, importance/uses., , 122

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9. Elements of Groups 13, 14 and 15, Can you recall?, If the valence shell electronic, configuration of an element is 3s2 3p1 in, which block of periodic table is it placed ?, 9.1 Introduction : You have learnt in, Chapter 7 that in the p-block elements, the diffrentiating electron (the last filling, electron) enters the outermost p orbital. You, also know that maximum six electrons can, be accommodated in p-subshell (or three p, orbitals). This gives rise to six groups, group, 13 to 18, in the p-block. The p-block elements, show greater variation in the properties than, 's' block, which you learnt in the previous, chapter. In this chapter you are going to study, the elements of the groups 13, 14 and 15 in, some details., The elements boron (5B), aluminium, (13Al), gallium (31Ga), indium (49In) and, thallium (81Tl) constitute the group 13, called, the boron family. The elements carbon (6C),, silicon (14Si), germanium (32Ge), tin (50Sn), , and lead (82Pb) form the group 14 called the, carbon family. The elements nitrogen (7N),, phosphorous (15P), arsenic (33As), antimony, (51Sb) and bismuth (83Bi) belong to group 15 of, the periodic table called the nitrogen family., 9.2 Electronic configuration of elements of, groups 13, 14 and 15, The general outer electronic configuration, of the group 13 elements is ns2 np1, those of the, group 14 elements is ns2np2 while the group 15, elements are shown as ns2np3. These electronic, configurations differ from their nearest inert, gas by 3 or 4 electrons. These elements do, not occur in free monoatomic state and found, as compounds with other elements or as, polyatomic molecules (such as N2, P4, C60) or, polyatomic covalent arrays (such as graphite,, diamond). Table 9.1 shows the condensed, electronic configuration of the elements of, group 13, group 14 and group 15., , Table 9.1 : Condensed electronic configuration of elements of groups 13, 14 and 15, , Group 13 (Boron family), Element Condesed electronic, configuration, B, [He]2s22p1, 5, Al, , [Ne]3s23p1, , 14, , Ga, , [Ar]3d104s24p1, , 32, , In, , [Kr]4d105s25p1, , 50, , Tl, , [Xe]4f145d106s26p1, , 82, , 13, 31, , Group 14 (Carbon family), Group 15 (Nitrogen family), Element Condesed electronic Element, Condesed electronic, configuration, configuration, 2, 2, C, [He]2s 2p, N, [He]2s22p3, 6, 7, , 49, 81, , Si, , [Ne]3s23p2, , P, , [Ne]3s23p3, , Ge, , [Ar]3d104s24p2, , 33, , As, , [Ar]3d104s24p3, , Sn, , [Kr]4d105s25p2, , 51, , Sb, , [Kr]4d105s25p3, , Pb, , [Xe]4f145d106s26p2, , 83, , Bi, , [Xe]4f145d106s26p3, , 15, , Problem 9.1 : Atomic numbers of the group 13 elements are in the order B < Al < Ga < In <, Tl. Arrange these elements in increasing order of ionic radii of M3⊕., Solution : The given elements are in an increasing order of atomic number. As we go down, the group 13, their general outer electronic configuration is ns2np1. M3⊕ is formed by removal, of three electrons from the outermost shell 'n'. In the M3⊕ the 'n-1' shell becomes the outermost., Size of the added 'n-1' shell increases down the group. Therefore the ionic radii of M3⊕ also, increase down the group as follows :, B3⊕ < Al3⊕ < Ga3⊕ < In3⊕ < Tl3⊕, , 123

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9.3 Trends in atomic and physical properties, of elements of groups 13, 14 and 15. : The, elements of group 13 show a wide variation in, properties. In group 13 boron is a metalloid.It, is glossy and hard solid like metal but a poor, electrical conductor (like nonmetals). The, other elements in this group are fairly reactive, metals. Aluminium is the third most abundant, element in the earth’s crust. Some physical, and atomic propeties of group 13 elements are, given in Table 9.2, , Problems 9.2 Why the atomic radius of, Gallium is less than that of aluminium ?, Solution : Atomic radius increases down, the group due to added new shell. 'Al' does, not have ‘d’ electrons. As we go from Al, down to 'Ga' the nuclear charge increase, by 18 units. Out of the 18 electrons added,, 10 electrons are in the inner 3d subshell., 'd' Electrons offer poor shielding effect., Therefore, the effects of attraction due to, increased nuclear charge is experienced, prominently by the outer electrons of 'Ga', and thus its atomic radius becomes smaller, than that of 'Al'., , Table 9.2 : Physical properties of elements of group 13, Element, , Atomic, , Atomic, , Atomic, , Ionic radius, , Ionization enthalpy, , number, , mass, , radius, , (pm), , (kJ mol ), , (pm), , M3⊕, , Electronegativity, , -1, , 1st, , 2nd, , 3rd, , Density, , Melting, , Boiling, , (g/cm ), , point, , point, , (K), , (K), , 3, , B, , 5, , 10.81, , 88, , 27, , 801, , 2427, , 3659, , 2.0, , 2.35, , 24.53, , 3923, , Al, , 13, , 26.98, , 143, , 53.5, , 577, , 1816, , 2744, , 1.5, , 2.70, , 933, , 2740, , Ga, , 31, , 69.72, , 135, , 62.0, , 579, , 1979, , 2962, , 1.6, , 5.90, , 303, , 2676, , In, , 49, , 114.82, , 167, , 80.0, , 558, , 1820, , 2704, , 1.7, , 7.31, , 430, , 2353, , Tl, , 81, , 204.38, , 170, , 88.5, , 589, , 1971, , 2877, , 1.8, , 11.85, , 576, , 1730, , Problem 9.3 : The values of the first ionization enthalpy of Al, Si and P are 577, 786 and, 1012 kJmol-1 respectively. Explain the observed trend., Solution : The trend shows increasing first ionization enthalpy from Al to Si to P. Al, Si and P, belong to 13 period in the periodic table. They have same valence shell. Due to the increased, nuclear charge electrons in the valence shell are more tightly held by the nucleus as we go, from Al to Si to P. Therefore more energy is required to remove an electron from its outermost, shell., which is brittle like nonmetal, it is hard and, has metallic luster. Germanium is also brittle, but hard and lustrous metalloid. Tin or lead, down the group are corrosion resistant and, moderately reactive., , Table 9.3 enlists atomic and physical, properties of the elements of carbon family, (group 14). In this group all the three, traditional types of elements are present., Carbon is a nonmetal, silicon is a metalloid, , Table 9.3 : Some atomic and physical properties of group 14 elements, Element, , Atomic, number, , Atomic, mass, , Atomic, radius, (pm), , Ionic radius, (pm), M3⊕, , Ionization enthalpy, (kJ mol-1), 1st, , 2nd, , 3rd, , 4th, , Electronegativity, , Density, (g/cm3), , Melting, point, (K), , Boiling, point, (K), , C, , 6, , 12.01, , 77, , 1086, , 2352, , 4620, , 6220, , 2.5, , 3.51, , 4373, , Si, , 14, , 28.09, , 118, , 40, , 786, , 1577, , 3228, , 4354, , 1.8, , 2.34, , 1693, , 3550, , Ge, , 32, , 72.60, , 122, , 53, , 761, , 1537, , 3300, , 4400, , 1.8, , 5.32, , 1218, , 3123, , Sn, , 50, , 118.71, , 140, , 69, , 708, , 1411, , 2942, , 3929, , 1.8, , 7.26, , 505, , 2896, , Pb, , 82, , 207.2, , 146, , 78, , 715, , 1450, , 3081, , 4082, , 1.9, , 11.34, , 600, , 2024, , 124

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Table 9.4 : Some atomic and physical properties of group 15 elements, Element, , Atomic, , Atomic, , Atomic radius, , Ionic, , Ionization enthalpy, , number, , mass, , (pm), , radius, , (kJ mol ), , Electronegativity, , -1, , (pm), , 1st, , 2nd, , 3rd, , Density, , Melting, , Boiling, , (g/cm ), , point, , point, , (K), , (K), , 3, , N, , 7, , 14.01, , 70, , 171 (M ), , 1402, , 2856, , 4577, , 3.0, , 0.879, , 6.3, , 77.2, , P, , 15, , 30.97, , 110, , 212 (M3 ), , 1012, , 1903, , 2910, , 2.1, , 1.823, , 317, , 554, , As, , 33, , 74.92, , 121, , 222(M ), , 947, , 1798, , 2736, , 2.0, , 5.778, , 1089, , -, , Sb, , 51, , 121.75, , 141, , 76 (M3⊕), , 834, , 1595, , 2443, , 1.9, , 6.697, , 904, , 1860, , Bi, , 83, , 208.98, , 148, , 103(M3⊕), , 703, , 1610, , 2466, , 1.9, , 9.808, , 544, , 1837, , 3, , 3, , Group 15 is the nitrogen family. Table, 9.4 shows atomic and physical properties, of the elements of group 15. This group also, include the three traditional types of elements:, The gaseous nitrogen and brittle phosphorous, are nonmetals. Arsenic and antimony are, metalloids while bismuth is moderately, reactive metal., 9.4 Chemical properties of the elements of, the groups 13,14 and 15, 9.4.1 Oxidation state : Oxidation state is the, primary chemical property of all elements., The highest oxidation state exhibited by the, p-block elements is equal to total number of, , valence electrons (sum of s- electrons and, p-electrons). This is sometimes called the, group oxidation state. In boron, carbon and, nitrogen families the group oxidation state is, the most stable oxidation state for the lighter, elements. Besides, the elements of groups, 13, 14 and 15 exhibit other oxidation states, which are lower than the group oxidation, state by two units. The lower oxidation states, become increasingly stable as we move down, to heavier elements in the groups. Table 9.5, shows various oxidation states exhibited by, elements belonging to these groups., , Remember, The increased stability of the oxidation state lowered by 2 units than the group oxidation, state in heavier p-block elements is due to inert pair effect. In these elements, the two selectrons are involved less readily in chemical reactions. This is because the s-electrons of, valence shell in p-block elements experience poor shielding than valence p- electron, due to ten, inner d-electrons., Group, Outer electronic, configuration, , Table 9.5 : Oxidation states of the elements of groups 13, 14 and 15, 13, 14, 15, ns2 np1, , Group oxidation state, +3, Other oxidation, +1, states, Examples of stable, BF3, AlCl3, GaCl3,, InCl3, TlBr, compounds, , ns2 np2, , ns2 np3, , +4, +2, -4, , +5, +3, -3, , CH4, CO2, CCl4, SiCl4,, GeCl4, SnCl2, PbCl2, , N2O5, NH3, NF3, PH3, PCl5,, AsH3, SbH3, SbCl3, BiCl3, , Problem 9.4 : Why Tl⊕1 ion is more stable than Tl⊕3 ?, Solution : Tl is a heavy element which belongs to group 13 of the p-block. The common, oxidation state for this group is 3. In p-block, the lower oxidation state is more stable for, heavier elements due to inert pair effect . Therefore, Tl⊕1 ion is more stable than Tl⊕3 ion., , 125

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9.4.2 Bonding in compounds of group 13,, 14 and 15 elements : The lighter elements in, groups 13, 14 and 15 have small atomic radii, and high ionization enthalpy values. They, form covalent bonds with other atoms by, overlapping of valence shell orbitals. As we, move down the group, the ionization enthalpies, are lowered. The atomic radii increase since, the valence shell orbitals are more diffused., The heavier elements in these group tend to, form ionic bonds. The first member of these, groups belongs to second period and do not, have d orbitals. B, C and N cannot expand, their octet. The subsequent elements in the, group possess vacant d orbital in their valence, shell, which can expand their octet forming a, variety of compounds., 9.4.3 Reactivity towards air/oxygen, a. Group 13 elements : Elements of group 13, on heating with air or oxygen produce oxide of, type E2O3 (where E = element), 4 E (s) + 3O2(g) ∆, 2 E2O3 (s), ∆, 2 E (s) + N2 (g), 2 EN (s), b. Group 14 elements : The elements of group, 14 on heating in air or oxygen form oxide, of the type EO and EO2 in accordance with, the stable oxidation state and availability of, oxygen., E (s) + 1/2 O2(g) ∆, EO, ∆, E (s) + O2 (g), EO2, c. Group 15 elements : The elements of group, 15 on heating in air or oxygen forms two types, of oxide E2O3 and E2O5., P 4 + 3 O2, P 4O 6, P4 + 5 O2, P4O10, As4 + 3 O2, As4O6, 2Bi + 3 O2, Bi2O3, Increase in metallic character down all these, groups 13, 14 and 15 reflects their oxides, which gradually vary from acidic through, amphoteric to basic. (see Table 9.6), The nature of stable oxides from groups 13, 14, and 15 are given in Table 9.6., , Table 9.6 : Nature of stable oxides of groups 13,, 14 and 15 elements, Group, , 13, , 14, , 15, , Element, , Oxide, , Nature, , B, Al, Ga, , B2O3, Al2O3, Ga2O3, , Acidic, Amphoteric, Amphoteric, , In, Tl, , In2O3, Tl2O3, , Basic, Basic, , C, , CO2, , Acidic, , Si, Ge, Sn, Pb, , SiO2, GeO2, SnO2, PbO2, , Acidic, Acidic, Amphoteric, Amphoteric, , N, P, As, Sb, Bi, , N2O5, P 2O 5, As4O6, Sb2O3, Bi2O3, , Acidic, Acidic, Amphoteric, Amphoteric, Basic, , Do you know ?, Boron nitride is also called inorganic, graphite., 9.4.4 Reaction with water, Most of the elements of groups 13,14 and 15, are unaffected by water. Aluminium reacts, with water on heating and forms hydroxide, while tin reacts with steam to form oxide., 2 Al (s) + 6 H2O (l) ∆ 2 Al (OH)3 (s) + 3 H2 (g), Sn (s) + 2 H2O (g) ∆ SnO2 (s) + 2 H2 (g), Lead is unaffected by water, due to formation, of a protective film of oxide., Do you know ?, Phosphorous is stored under water, because it catches fire when exposed to air., 9.4.4 Reaction with halogens, All the elements of group 13 react, directly with halogens to form trihalides (EX3)., Thallium is an exception which forms mono, halides (TlX), 2 E (s) + 3 X2 (g), 2 EX3 (s), All the elements of group 14 (except, carbon) react directly with halogens to form, , 126

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tetrahalides (EX4). The heavy elements Ge, and Pb form dihalides as well. Stability of di, halides increases down the group. (Refer to, 9.3.1, inert pair effect). The ionic character of, halides also increases steadily down the group., Problem 9.5 : GeCl4 is more stable than, GeCl2 while PbCl2 is more stable than, PbCl4. Explain., Solution : Ge and Pb are the 4th and 5th, period elements down the group 14. The, group oxidation state of group 14 is 4 and, the stability of other oxidation state, lower, by 2 units, increases down the group due, to inert pair effect. The stability of the, oxidation state 2 is more in Pb than in Ge., , The order of catenation of group 14, elements is C >> Si > Ge = Sn. Lead does not, show catenation.This can be clearly seen from, the bond enthalpy values., Bond, Bond enthalpy (kJmol-1), C -C, 348, Si - Si, 297, Ge - Ge, 260, Sn - Sn, 240, Can you recall?, What is common between diamond, and graphite?, , Elements of the group 15 reacts with, halogens to form two series of halides: EX3 and, EX5 . The pentahalides possess more covalent, character due to availability of vacant d orbitals, of the valence shell for bonding. (Nitrogen, being second period element, does not have d, orbitals in its valence shell, and therefore, does, not form pentahalides). Trihalides of the group, 15 elements are predominantly covalent except, BiF3. The only stable halide of nitrogen is NF3., Problem 9.6 : Nitrogen does not form NCl5, or NF5 but phosphorous can. Explain., Solution : Phosphorous and other members, of the group can make use of d-orbitals in, their bonding and thus compounds MX3, as, well MX5 are formed Nitrogen can not form, NCl5 or NF5 since it is void of d-orbitals in, its second shell., , 9.6 Allotropy : When a solid element exists, in different crystalline forms with different, physical properties such as colour, density,, melting point, etc. the phenomenon is called, allotropy and individual crystalline forms are, called allotropes. Diamond and graphite are, well known allotropes of carbon. Fullerenes,, graphene and carbon nanotubes are other, allotropes of carbon. Elements such as boron,, bismuth, silicon, etc. of group 13, 14, and 15, exhibit allotropy. In this chapter we are going, to look at some aspects of allotropes of carbon, and phosphorous ., 9.6.1 Allotropes of Carbon :, a. Diamond : In diamond each carbon atom, is linked to four other carbon atoms (via. sp3, hybrid orbitals) in tetrahedral manner., , 9.5 Catenation : The property of self linking, of atoms of an element by covalent bonds to, form chains and rings is called catenation. The, catenation tendency of an element depends, upon the strength of the bond formed., Among the group 14 elements,, carbon shows the maximum tendency for, catenation because of the stronger C - C bond, (348 kJ mol-1), Fig 9.1 Structure of diamond, , 127

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The C-C bond distance is 154 pm., The tetrahedra are linked together forming, a three dimensional network structure, (Fig. 9.1) involving strong C-C single bonds., Thus diamond is the hardest natural substance, with abnormally high melting point (3930 0C)., Diamond is bad conductor of electricity., Uses : Diamond is used, • for cutting glass and in drilling tools., • for making dies for drawing thin wire from, metal., • for making jewellery., b. Graphite : Graphite is composed of layers, of two dimensional sheets of carbon atoms, (Fig. 9.2) each being made up of hexagonal, net of sp2 carbons bonded to three neighbours, forming three sigma bonds. The fourth electron, is in the unhybrid p-orbital of each carbon., The p-orbitals on all the carbons are parallel, to each other. These overlap laterally to form π, bonds. The π electrons are delocalised over the, whole layer. The C- C bond length in graphite, is 141.5 pm. The individual layers are held by, weak van der Waals forces and separated by, 335 pm. This makes graphite soft and slippery., , when an electric arc is struck between the, graphite electrodes in an inert atmosphere of, argon or helium. The soot formed contains, significant amount of C60 fullerene and smaller, amounts of other fullerenes C32, C50, C70 and, C84., C60 has a shape like soccer ball and called, Buckminsterfullerene or bucky ball. (Fig., 9.3) It contains twenty hexagonal and twelve, pentagonal fused rings of carbons., , 335 pm, , 141.5 pm, , Fig. 9.3 Buckminsterfullerene, , Unlike diamond and graphite, the C60, fullerene structure exhibits two distinct, distances between the neighbouring carbons,, 143.5 pm and 138.3 pm. Fullerenes are, covalent molecules and soluble in organic, solvents. Fullerene C60 reacts with group 1, metals forming solids such as K3C60. The, compound K3C60 behaves as a superconductor, below 18 K, which means that it conducts, electric current with zero resistance., d. Cabon nanotubes : Carbon nanotubes are, cylindrical in shape, consisting of rolled-up, graphite sheet (Fig. 9.4). Nanotubes can be, single-walled (SWNTs) with a diameter of, less than 1 nm or multi-walled (MWNTs) with, Carbon atom, , Fig 9.2 Structure of graphite, , Covalent bond, , Remember, Graphite is thermodynamically, most stable form (allotrope) of carbon., c. Fullerene : Fullerenes are alltropes of, carbon in which carbon molecules are formed, by linking a definite numbers of carbon atoms., For example : C60. Fullerenes are produced,, , 128, , Fig. 9.4 Carbon nanotubes

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diameter reaching more than 100 nm. Their, lengths range from several micrometres to, millimetres., Carbon nanotubes are robust. They can be, bent, and when released, they will spring back, to the original shape., Carbon nanotubes have high electrical, and heat conductivities and highest strength, to weight ratio for any known material to, date. The researchers of NASA are working, on combining carbon nanotubes with other, matertials to obtain composites those can be, used to build light weight space craft., e. Graphene : Isolated layer of graphite is, called graphene (Fig. 9.5). Graphene sheet is, a two dimensional solid. Graphene has unique, electronic properties., , •, •, •, , It is translucent white waxy solid., It glows in dark (chemiluminescence)., It is insoluble in water but dissolves in, boiling NaOH solution., • It is poisonous., b. Red phosphorus : Red phosphorus consists, of chains of P4 tetrahedra linked together by, covalent bonds. Thus it is polymeric in nature., P, , P, , P, , P, , P, , P, , •, •, •, •, •, , P, , P, P, , P, , P, P, , It is stable and less reactive., It is odourless. It possesses iron grey lustre, It does not glow in dark., It is insoluble in water., It is non poisonous., Remember, Red phosphorus is prepared by, heating white phosphorus at 573 K in an, inert atmosphere., , Fig. 9.5 Graphene, , 9.7 Molecular structures of some important, compounds of the group 13, 14 and 15, elements, , Do you know ?, The discovery of graphene was, awarded with the Nobel prize to Geim and, Novoselov (2010)., , Can you recall?, , 9.6.2 Allotropes of phosphorus : Phosphorus, is found in different allotropic forms, the, important ones being white and red phosphorus., a. White (yellow) phosphorus : White (yellow), phosphorus consists of discrete tetrahedral P4, molecules. The P-P-P bond angle is 60ο., P, 600, P, , P, P, , White phosphorus is less stable and hence, more reactive, because of angular strain in the, P4 molecule., , • Which element from the following, •, , pairs has higher ionization enthalpy?, B and Tl, N and Bi, Does Boron form covalent compounds, or ionic ?, , You have seen in section 9.2 that lighter, elements of groups 13, 14 and 15 have higher, ionization enthalpy and because of smaller, atomic radius do not form cation readily. These, elements form covalent compounds. Covalent, molecules have definite shape described with, the help of bond lengths and bond angles., Inorganic molecules are often represented by, molecular formulae indicating their elemental, composition., , 129

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In the case of covalent inorganic, molecules, the reactivity is better understood, from their structures. In this section we will, consider molecular structures of common, compounds of elements of groups 13,14 and, 15., 9.7.1 Boron trichloride (BCl3) : Boron, trichloride (BCl3) is covalent. Here boron, atom is sp2 hybridised having one vacant, unhybridised p orbital. B in BCl3 has incomplete, octet. The BCl3 is nonpolar trigonal plannar, molecule as shown., , 1200, , 9.7.2 Aluminium Chloride (AlCl3) :, Aluminium atom in aluminium chloride, is sp2 hybridised, with one vacant unhybrid p, orbital. Aluminium Chloride (AlCl3) exists as, the dimer (Al2Cl6) formed by overlap of vacant, 3d orbital of Al with a lone pair of electrons of, Cl., , 9.7.4 Diborane (B2H6) : Boron has only three, valence electron. In diborane each boron atom, is sp3 hybridized. Three of such hybrid orbitals, are half filled, the fourth sp3 hybrid orbital is, vacant., The two half filled sp3 hybrid orbitals of, each B atom overlap with 1s orbitals of two, H atoms and form four B-H covalent bonds., Hydrogen atoms are located at the terminal., Besides, there are 2-centre - 2-electron bonds, where ‘1s’ orbital of each of the remaining two, H atoms simultaneouly overlap with half filled, hybrid orbital of one B atom and the vacant, hybrid orbital of the other B atom. This type, of overlap produces two three centred - two, electron bonds (3 c - 2e) or banana bonds., Hydrogen atoms involved in (3 c - 2 e) bonds, are the bridging H- atoms. In diborane two B, atoms and four terminal H atoms lie in one, plane, while the two bridging H atoms lie, symmetrically above and below this plane., , (3 centred - 2 electron bonds), , 9.7.3 Orthoboric acid / boric acid (H3BO3) :, The orthoboric acid has central boron, atom bound to three –OH groups. The solid, orthoboric acid has layered crystal structure in, which trigonal planar B(OH)3 units are joined, together by hydrogen bonds., , Orthoboric acid, , Bonding and structure of diborane, , 9.7.5 Silicon dioxide (SiO2) : Silicon dioxide is, commonly known as silica. Quartz, cristobalite, and tridymite are different crystalline forms of, silica. They are inter-convertible at a suitable, temperature., Silicon dioxide (silica) is a covalent, three dimensional network solid, in which, each silicon atom is covalently bound in, tetrahedral manner to four oxygen atoms. The, crystal contains eight membered rings having, alternate silicon and oxygen atoms., , 130

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Borax naturally occurs as tincal (which, contains about 90% borax) in certain inland, lakes in India, Tibet and California (U.S.A)., Preparation :, Borax is prepared from the mineral, colemanite by boiling it with a solution of, sodium carbonate., Ca2B6O11 + 2 Na2CO3 ∆ Na2B4O7 + 2 NaBO2, Colemanite , , Structure of SiO2, , 9.7.6 Nitric acid (HNO3) : Nitric acid is a, strong, oxidising mineral acid. The central, nitrogen atom is sp2 hybridised. HNO3 exhibits, resonance phenomenon., , H, H, , O, , pm, , O, , 120 0, , O, , 140.6pm, , ⊕, , N, , ⊕, , N, , O, , H, , 96, , O, , ⊕, , N, , O, , O, , Oδ, 1300, , Oδ, , Resonance Hybrid of HNO3, 9.6.7 Orthophosphoric acid/phosphoric, acid (H3PO4) : Phosphorus forms number of, oxyacids. Orthophosphoric acid is a strong non, toxic mineral acid. It contains three ionizable, acidic hydrogens. The central phosphorous, atom is tetrahedral., , Try this, Find out the structural formulae of, various oxyacids of phosphorus., 9.8 Chemistry of notable compounds of, elements of groups 13, 14 and 15, 9.8.1 Borax (Na2B4O7) : It is one of the most, important boron compound. The crystalline, borax has formula Na2B4O7. 10H2O or, Na2[B4O5(OH)4].8H2O., , 131, , Borax, , , + 2 CaCO3, Properties, i. Borax is white crystalline solid., ii. Borax dissolves in water and gives, alkaline solution due to its hydrolysis., Na2B4O7 + 7 H2O, 2NaOH + 4 H3BO3, Ortho boric acid, iii. On heating borax first loses water, molecules and swells. On further heating, it turns into a transparant liquid, which, solidifies into glass like material known, as borax bead., Na2B4O7.10H2O ∆ Na2B4O7 ∆, -10H2O, 2 NaBO2 + B2O3, , Borax bead, The borax bead consisting sodium, metaborate and boric anhydride is, used to detect coloured transition metal, ions, under the name borax bead test., For example, when borax is heated in, a Bunsen burner flame with CoO on a, loop of platinum wire, a blue coloured, Co(BO2)2 bead is formed., iv. Borax when heated with ethyl alcohol and, concentrated H2SO4 acid, give volatile, vapours of triethyl borate which burn, with green edged flame., Na2B4O7 + H2SO4 + 5 H2O, Na2SO4 +, 4 H3BO3, H3BO3 + 3C2H5OH, B(OC2H5)3 + 3 H2O, , Triethyl borate, Remember, The above reaction is used as a test, for detection and removal of borate in, qualitative analysis.

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Exercises, 1. Choose correct option., A. Which of the following is not an, allotrope of carbon ?, a. bucky ball , b. diamond, c. graphite , d. emerald, B., is inorganic graphite, a. borax , b. diborane, c. boron nitride, d. colemanite, C. Haber’s process is used for preparation, of, a. HNO3 , b. NH3, c. NH2CONH2 , d. NH4OH, D. Thallium shows different oxidation, state because, a. of inert pair effect, b. it is inner transition element, c. it is metal, d. of its high electronegativity, E. Which of the following shows most, prominent inert pair effect ?, a. C , b. Si, c. Ge , d. Pb, 2. Identify the group 14 element that best, fits each of the following description., A. Non metallic element, B. Form the most acidic oxide, C. They prefer +2 oxidation state., D. Forms strong π bonds., 3. Give reasons., A. Ga3⊕ salts are better reducing agent, while Tl3⊕ salts are better oxidising, agent., B. PbCl4 is less stable than PbCl2, 4. Give the formula of a compound in, which carbon exhibit an oxidation state, of, A. +4, B. +2 C. -4, 5. Explain the trend of the following in, group 13 elements :, A. atomic radii B. ionization enthalpy, C. electron affinity, 6. Answer the following, A. What is hybridization of Al in AlCl3?, B. Name a molecule having banana bond., 7. Draw the structure of the following, A. Orthophosphoric acid, B. Resonance structure of nitric acid, , 8. Find out the difference between, A. Diamond and Graphite, B. White phosphorus and Red phosphorus, 9. What are silicones ? Where are they used ?, 10. Explain the trend in oxidation state of, elements from nitrogen to bismuth., 11. Give the test that is used to detect borate, radical is qualitative analysis., 12. Explain structure and bonding of, diborane., 13. A compound is prepared from the, mineral colemanite by boiling it with a, solution of sodium carbonate. It is white, crystalline solid and used for inorganic, qualitative analysis., a. Name the compound produced., b. Write the reaction that explains its, formation., 14. Ammonia is a good complexing agent., Explain., 15. State true or false. Correct the false, statement., A. The acidic nature of oxides of group 13, increases down the graph., B. The tendency for cantenation is much, higher for C than for Si., 16. Match the pairs from column A and B., A B, BCl3, Angular molecule, SiO2, linear covalent molecule, CO2, Tetrahedral molecule, , Planar trigonal molecule, 17. Give the reactions supporting basic, nature of ammonia., 18. Shravani was performing inorganic, qualitative analysis of a salt. To an, aqueous solution of that salt, she added, silver nitrate. When a white precipitate, was formed. On adding ammonium, hydroxide to this, she obtained a clear, solution. Comment on her observations, and write the chemical reactions, involved., , Activity :, Prepare models of allotropes of carbon, and phosphorous., , 134

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10. States of Matter : Gaseous and Liquid States, 10.1 Introduction:, We have learnt that substances exist, in one of the three main states of matter. The, three distinct physical forms of a substance are, Solid, Liquid, and Gas., Fig. 10.1 : Different States of Water, , Can you recall?, Water exists in the three different, forms solid ice, liquid water and gaseous, vapours., , Three states of matter are interconvertible, by exchange of Heat as given below:, , Key points of differentiation between, the three states can be understood as given in, Table 10.1., , Solid, , Heat, , Liquid, , Heat, , Gas, , Cool, , Cool, , Table 10.1: Distinguishing points between Solid, Liquid and Gas, Sr. No., 1, , Points, Microscopic view, , Mean atomic/, molecular, separation, 2, , Arrangement of, particles (atoms/, molecules), , 3, , Movement of, particles, , 4, , Shape and, volume, , 5, , Intermoleculer, space, , 6, , Effect of a, small change in, temperature, Compression or, Expansion, , 7, , Solid, , Liquid, , Mean separation ≈, 3-5A0, , Mean separation ≈, 3-10A0, Particles are tightly, Particles are loosely, held, and have regular packed, irregular, arrangement of atoms/ arragement of particles, molecules, Particles cannot move Particles can move a, freely as they occupy, small distance within the, fixed positions., liquid, Has definite shape and Takes the shape of, volume, the container and has, definite volume., Very small, Moderate Intermolecular, Intermolecular space, space, , Gas, , Volume change is, small, , Moderate effect on, volume change, , Mean separation >, 5A0, Particles are more, loosely packed,, highly irregular, arrangement, Particles are in, continuous, random motion., Takes the shape and, the volume of its, container., Large, Intermolecular, space., Volume change, significantly high., , Practically, Non- compressible, , Small Compressibility, , Compressible, , 135

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10.2 Intermolecular Forces : Intermolecular, forces are the attractive forces as well, as repulsive forces present between the, neighbouring molecules. The attractive force, decreases with the increase in distance between, the molecules. The intermolecular forces are, strong in solids, less strong in liquids and very, weak in gases. Thus, the three physical states, of matter can be determined as per the strength, of intermolecular forces., The physical properties of matter such as, melting point, boiling point, vapor pressure,, viscosity, evaporation, surface tension and, solubility can be studied with respect to, the strength of attractive forces between, the molecules. During the melting process, intermolecular forces are partially overcome,, whereas they are overcome completely during, the vapourization process., 10.2.1 Types of Intermolecular Forces:, The four types of intermolecular forces arei., Dipole-dipole interactions, ii., Ion-dipole interactions, iii., Dipole-Induced dipole interaction, iv., London Dispersion Forces, v., Hydrogen bonding, i. Dipole-dipole interactions :, Polar, molecules experience dipole-dipole forces due, to electrostatic interactions between dipoles on, neighboring molecules., What are polar molecules or Polar covalent, molecules? (Refer to Chapter 5)., Polar covalent molecule is also described, as “dipole” meaning that the molecule has two, ‘poles’. The covalent bond becomes polar due, to electronegativity difference between the, bonding atoms. Hence polarity is observed in, the compounds containing dissimilar atoms., For example, HCl molecule (see Fig. 10.2 (a))., One end (pole) of the molecule has, partial positive charge on hydrogen atom, while at other end chlorine atom has partial, negative charge (denoted by Greek letter ‘δ’, delta). As a result of polarisation, the molecule, possesses the dipole moment., , Dipole moment (µ) is the product of the, magnitude of the charge (Q) and the distance, between the centres of positive and negative, charge (r). It is designated by a Greek Letter, (µ) (mu). Its unit is debye (D)., Dipole moment is a vector, quantity and is depicted by a small arrow, with tail in the positive centre and head, pointing towards the negative centre., , 136, , µ, , δ⊕, , δ, , H, , Cl, More Charge density, towards chlorine, , Unequal sharing of electrons, between the bonding atoms., , Fig 10.2 (a) : Polar molecule, δ⊕, I, δ, Cl, , δ, Cl, δ⊕, I, , δ⊕, I, Cl, δ, , δ, Cl, δ⊕, I, , δ⊕, I, δ, Cl, , Fig 10.2 (b) : Dipole-dipole interaction, , For example, the dipole moment of HF, may be represented as: H-F, The crossed arrow(, ) above the Lewis, structure represents an electron density shift., Thus polar molecules have permanent, dipole moments. When a polar molecule, encounters another polar molecule, the positive, end of one molecule is attracted to the negative, end of another polar molecule. Many such, molecules have dipoles and their interaction, is termed as dipole-dipole interaction. These, forces are generally weak, with energies of the, order of 3-4 kJ mol-1 and are significant only, when molecules are in close contact. i.e. in a, solid or a liquid state., For example C4H9Cl, (butyl chloride),, CH3 - O - CH3 (dimethyl ether) ICl (iodine, chloride B.P. 27 0C), are dipolar liquids., The molecular orientations due to dipoledipole interaction in ICl liquid is shown in, Fig. 10.2 (b).

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In brief, more polar the substance, greater, the strength of its dipole-dipole interactions., Table 10.2 enlists several substances with, similar molecular masses but different dipole, moments. From Table 10.2, it is clear that, higher the dipole moment, stronger are the, inter molecular forces, generally leading to, higher boiling points., Table 10.2 : Effect of dipole moments on boiling, point (b.p.), Molar, Dipole, b.p., Substance, Mass Moment, (K), (amu), (D), CH3 - CH2 - CH3, , 44.10, , 0.1, , 231, , CH3 - O - CH3, , 46.07, , 1.3, , 248, , CH3 - Cl, , 50.49, , 1.9, , 249, , CH3 - CN, , 41.05, , 3.9, , 355, , When different substances coexist, in single phase, following intermolecular, interactions are present., ii. Ion-dipole interactions : An ion-dipole, force is the result of electrostatic interactions, between an ion (cation or anion) and the, partial charges on a polar molecule., The strength of this interaction depends, on the charge and size of an ion. It also depends, on the magnitude of dipole moment and size of, the molecule., (Hydrated Na⊕ ion), o, o, , o, , o, , Cations are smaller in size than the, isoelectronic anions. The charge density on, cation (Na⊕) is more concentrated than anion, (Cl ). This makes the interaction between (Na⊕), and negative end of the polar H2O molecule, (Fig. 10.2 (c)) stronger than the corresponding, interaction between (Cl ) and positive end of, the polar H2O molecule., More the charge on cation, stronger is, the ion-dipole interaction. For example, Mg2⊕, ion has higher charge and smaller ionic radius, (78 pm) than Na⊕ ion (98 pm), hence Mg2⊕ ion, is surrounded (hydrated) more strongly with, water molecules and exerts strong ion-dipole, interaction., Thus the strength of interaction, increases with increase in charge on cation and, with decrease in ionic size or radius. Therefore,, ion-dipole forces increase in the order :, Na⊕ < Mg2⊕ < Al3⊕., iii. Dipole-Induced dipole interaction :, When polar molecules (like H2O,, NH3) and nonpolar molecules (like benzene), approach each other, the polar molecules, induce dipole in the non-polar molecules., Hence ‘Temporary dipoles’ are formed, by shifting of electron clouds in nonpolar, molecules. For example, Ammonia (NH3), is polar and has permanent dipole moment, while Benzene (C6H6) is non polar and has, zero dipole moment. The force of attraction, developed between the polar and nonpolar, molecules is of the type dipole - induced dipole, interaction. It can be seen in Fig 10.2(d) in the, following manner:, , o, o, , Fig. 10.2 (c) : Na⊕ ion(cation) - H2O interaction, , Ion-dipole forces are particularly, important in aqueous solutions of ionic, substances such as sodium chloride (NaCl)., When an ionic compound, sodium chloride is, dissolved in water, the ions get separated and, surrounded by water molecules which is called, Hydration of sodium ions., , 137, , Polar, molecular, , Non - Polar, molecular, , Non - Polar molecular, with induced dipole, , Fig. 10.2 (d) : Dipole - induced dipole, interaction

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iv. London Dispersion Force : The study, of intermolecular forces present among, nonpolar molecules or the individual atoms of, a noble gas is very interesting. For example,, Benzene (C6H6) has zero dipole moment and, experiences no dipole-dipole forces, yet exists, in liquid stage., In case of nonpolar molecules and inert, gases, only dipersion forces exist. Dispersion, forces are also called as London forces due, to an idea of momentary dipole which was, proposed by the German Physicist, Fritz, London in 1930. These forces are also called, as van der Waals forces. It is the weakest, intermolecular force that develops due to, interaction between two nonpolar molecules., In general, all atoms and molecules experience, London dispersion forces, which result from, the motion of electrons. At any given instant of, time, the electron distribution in an atom may, be asymmetrical, giving the atom a short lived, dipole moment. This momentary dipole on one, atom can affect the electron distribution in the, neighbouring atoms and induce momentary, dipoles in them. As a result, weak attractive, force develops., For example, substances composed of, molecules such as O2, CO2, N2, halogens,, methane gas, helium and other noble gases, show van der Waals force of attraction., The strength of London forces increases, with increase in molecular size, molecular, mass and number of electrons present in an, atom or molecule., When two nonpolar molecules approach, each other, attractive and repulsive forces, between their electrons and the nuclei will lead, to distortions in the size of electron cloud, a, property referred to as polarizability., Polarizability is a measure of how easily, an electron cloud of an atom is distorted by, an applied electric field. It is the property of, atom. The ability to form momentary dipoles, that means the ability of another molecule to, become polar by redistributing its electrons, is known as polarizability of the atom or, molecule., More the number of electrons in a, , molecule, higher is its ability to become, polar. Similarly more the spread out shapes,, higher the dispersion forces present between, the molecules. London dispersion forces, are stronger in a long chain of atoms where, molecules are not compact. This can affect, physical property such as B.P. n-Pentane,, for example boils at 309.4 K, whereas, neo - pentane boils at 282.7 K. Here both the, substances have the same molecular formula,, C5H12, but n-pentane is longer and somewhat, spread out, where as neo-pentane is more, , H, , H, , H, , H, , H, , H, , C, , C, , C, , C, , C, , H, , H, , H, , H, , H, , H, , Fig 10.3 (a):, Longer, less, compact molecule, n-Pentane, H (b.p.= 309.4K), H, H, H, , C, , H, H, , C, , C, , C, , H, H, , C, , H, H, , H, , H, , Fig 10.3 (b): More compact molecule, neo - pentane (b.p.= 282.7K), , spherical and compact (see Fig. 10.3)., v. Hydrogen Bonding : A hydrogen bond is a, special type of dipole-dipole attraction which, occurs when a hydrogen atom is bonded to a, strongly electronegative atom or an atom with, a lone pair of electrons. Hydrogen bonds are, generally stronger than usual dipole - dipole, and dispersion forces, and weaker than true, covalent or ionic bonds., Definition : The electrostatic force of attraction, between positively polarised hydrogen atom, of one molecule and a highly electronegative, atom (which may be negatively charged) of, other molecule is called as hydrogen bond., Strong electronegative atoms that, form hydrogen bonds are nitrogen, oxygen,, and fluorine. Hydrogen bond is denoted, by ( ) dotted line. Hydrogen bond which, occurs within the same molecule represents, Intramolecular Hydrogen bond., , 138

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A hydrogen bond, present between, two like or unlike molecules, represents, Intermolecular Hydrogen bond., (See Fig. 10.4 (a) and (b))., i. Inter molecular H-bonding, , H-bonding in H−F :, Hδ+−Fδ-, , Hδ+−FδH-bond, , Hδ+−Fδ-, , Hδ+−Fδ-, , Fig. 10.4 : H-bonding in H2O (above) and, NH3 (below) (solid line denotes covalent bond,, dotted line denotes hydrogen bond), , ii. Intra molecular H-bonding :, H-bonding in ethylene glycol :, , CH2−Oδ-−Hδ+, CH2−Oδ-−Hδ+, , H - bonding and boiling point : Due to the, presence of H-bonding in the compounds,, more energy is required to break the bonds., Therefore, boiling point is more in case of, liquid molecules containing H-bond. Hydrogen, bonds can be quite strong with energies up to, 40 kJ/mol., Water in particular is able to form a vast, three dimensional network of hydrogen bonds, as shown in Fig. 10.5. It is because each H2O, molecule has two hydrogen atoms and two, , electron pairs on oxygen atom., The boiling point generally increases, with increase in molecular mass, but the, hydrides of nitrogen (NH3), oxygen (H2O) and, fluorine (HF) have abnormally high boiling, points due to the presence of hydrogen bonding, between the molecules., Similarly due to presence of H- bond,, viscosity of liquid increases. Hydrogen bonds, play vital role in determining structure and, properties of proteins and nucleic acid present, in all living organisms. In case of gases, intermolecular forces of attraction are very, weak., 10.2.2 Intermolecular Forces and Thermal, energy : Thermal energy is the origin of, kinetic energy of the particles of matter that, arises due to movement of particles (about, which you must have learnt in Physics). It is, directly proportional to the temperature; that, means thermal energy increases with increase, in temperature and vice versa., Three states of matter are the, consequence, of a balance between the, intermolecular forces of attraction and the, thermal energy of the molecules., If the intermolecular forces are very, weak, molecules do not come together to, make liquid or solid unless thermal energy is, decreased by lowering the temperature., When a substance is to be converted, from its gaseous state to solid state, its thermal, energy (or temperature) has to be reduced. At, this stage, the intermolecular forces become, more important than thermal energy of the, particles., , Intermolecular Force Increases, Gas, , Liquid, , Solid, , Thermal energy decreases, , Fig. 10.5 : Liquid water contains a vast, three dimensional network of hydrogen, bonds, , A comparison of various kinds of, intermolecular forces discussed in this section, is made in Table 10.3., , 139

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Force, Ion-dipole, Dipole-dipole, London dispersion, Hydrogen bond, , Table 10.3 : Comparison of Intermolecular Forces, Strength, Characterstics, Moderate (10 - 50 kJ/mol), Occurs between ions and polar solvents, Weak (3 - 4 kJ/mol), Occurs between polar molecules, Weak (1 - 10 kJ/mol), Occurs between all molecules; strength, depends on size, polarizability, Moderate (10 - 40 kJ/mol), Occurs between molecules with O-H, N-H,, and H-F bonds, , Do you know ?, , Can you tell?, What are the various components, present in the atmosphere?, Name five elements and five, compounds those exist as gases at room, temperature., Just think, What is air?, It is a mixture of various gases. Air,, we can not see but feel the cool breeze. The, composition of air by volume is around 78, percent N2, 21 percent O2 and 1 percent, other gases including CO2. The chemistry, of atmospheric gases is an important, subject of study as it involves air pollution., O2 in air is essential for survival of aerobic, life., Nitogen 78%, Oxygen 21%, Carbon, Dioxide and, other gases, 0.03%, Inert gases, (mainly, argon) 0.97%, Water vapor, , Composition of air with respect to, proportion of various gases, , Among the three compounds H2, H2S, and H2Se, the first one, H2O has the smallest, molecular mass. But it has the highest B.P., of 1000C. B.P. of H2S is -600C and of H2Se is, -41.25 0C. The extraordinary high B.P. of H2O, is due to very strong hydrogen bonding even, though it has the lowest molecular mass., , 10.3 Characteristic properties of Gases :, Under normal conditions, out of 118, elements from the periodic table, only a few, (eleven) elements exist as gases. The gaseous, state is characterized by the following physical, properties :, 1. Gases are lighter than solids and liquids i.e., possess lower density., 2. Gases do not possess a fixed volume and, shape. They occupy entire space available and, take the shape of the container., 3. Gas molecules are widely seperated and, are in continuous, random motion. Therefore,, gases exert pressure equally in all directions, due to collision of gas molecules, on the walls, of the container., 4. In case of gases, intermolecular forces are, weakest., 5. Gases possess the property of diffusion, which is a spontaneous homogenous inter, mixing of two or more gases., 6. Gases are highly compressible., Measurable properties of Gases : (Refer, to Chapter 1) : Some Important measurable, properties of the gases are given below :, 1. Mass: The mass, m, of a gas sample is, measure of the quantity of matter it contains., It can be measured experimentally. SI unit of, mass of gas is kilogram (kg). 1kg = 103g., , 140

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The mass of a gas is realated to the, number of moles (n) by the expression i., mass in grams, m, =, n =, i., molar mass in grams M, The following expressions are also useful in, calculations., ii., Number of molecules N, N, , n, , Avogadro Number, N A 6.022  1023, iii., Volume of a given gas in litres at STP, n=, 22.414 litres at ST, TP, 2. Volume: Volume (V) of a sample of gas is, the amount of space it occupies. It is expressed, in terms of different units like Litres (L),, mililitres(mL), cubic centimeter (cm3), cubic, meter (m3) or decimeter cube (dm3). SI Unit of, the volume is cubic meter (m3)., Most commonly used unit to measure, the volume of the a gas is decimeter cube or, litre., 1 L = 1000mL = 1000 cm3 = 1dm3, 1 m3 = 103 dm3 = 103L = 106cm3 = 106 mL, 3. Pressure: Pressure (P) is defined as force, per unit area., Force f, =, Pressure =, Area a, Pressure of gas is measured with, ‘manometer’ and atmospheric pressure is, measured by ‘barometer’., SI Unit of pressure is pascal (Pa) or, Newton per meter square (N m-2)., 1 Pa = 1 Nm-2 = 1 kg m-1 s-2, 1 bar = 1.00 × 105 Pa, The bar is now replacing the standard, atmosphere (atm) as the most convenient unit, of pressure., 1 atm = 76 cm of Hg = 760 mm of Hg =, 760 torr as 1 torr = 1mm Hg, 1 atm = 101.325 kPa = 101325 Pa =, 1.01325 × 105 N m-2 = 1.01325 bar., Can you tell?, What is the unit in which car-tyre, pressure is measured ?, , 4. Temperature : It is the property of an object, that determines direction in which energy will, flow when that object is in contact with other, object., In scientific measurements temperature, (T) is measured either on the celsius scale (0C), or the Kelvin scale (K). (Note that degree sign, is not used in Kelvin unit)., SI Unit of Temperature of a gas is kelvin, (K). The celsius and kelvin scales are related, by the expression, T (K) = t0 C + 273.15, 5. Density : It is the mass per unit volume., d=, , m, V, , ∴ SI Unit of density is kg m-3., In the case of gases, relative density is, measured with respect to hydrogen gas and is, called vapour density., molar mass, ∴ Vapour density =, 2, 6. Diffusion: In case of gases, Rate of diffusion, of two or more gases is measured., Rate, of =, diffusion, , Volume of a gas diffused, time required for diffusion, , ∴ SI Unit for Rate of diffusion is dm3 s-1 or, cm3 s-1, 10.4 Gas Laws : The behavior of gases can, be studied by four variables namely pressure,, volume,temperature and the number of moles., These variables and measurable properties of, the gases are related with one another through, different gas laws., Think of a gas in a cylinder or a sealed, container. We can measure number of moles, (n) of gas inside, the pressure (P) of a gas,, the volume (V) of a gas (which is equal to the, volume of the container) and the temperature, (T) of the gas. The observed relationships, between P, V, n and T are summarized by, five gas laws: Boyle’s law, Charles’ law, Gay, Lussac law, Avogadro law and Dalton’s law., , 141

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The gas laws are based on the, experimental observations made by the, scientists. Further, these gas laws have, played significant role in the development of, chemistry., 10.4.1 Boyle’s Law: (Pressure-Volume, Relationship), , The, law, can, be, illustrated, diagramatically as shown in Fig. 10.6, Increasing or decreasing the volume of a gas at a constant, temperature, P = 4 atm, P = 1 atm, , Do you know ?, , P = 2 atm, , Volume increases, , Volume decreases, , pressure decreses, , pressure increses, , V=1L, T = 298 K, , How does the bicycle pump work ?, You can feel the increased pressure, of a gas on your palm by pushing in, the piston of a bicycle pump. As you, push, you squash the same number of, particles into a smaller volume. This, squashing means particles hit the walls, of the pump more often, increasing the, pressure., , V = 0.50 L, T = 298 K, , V = 0.25 L, T = 298 K, , Fig. 10.6 : Schematic illustration, of Boyle’s Law, , Mathematical Expression :, Mathematically, Boyle’s law is expressed as, Pα, , l, V (at constant T and n), 1, , In 1662, Robert Boyle, carried out large number, of experiments on various, gases. He observed that at, constant temperature when, the pressure was increased,, the volume of the gas was, reduced and vice versa., Statement of Boyle’s law: For a fixed mass, (number of moles ‘n’) of a gas at constant, temperature, the pressure (P) of a gas is, inversely proportional to the volume (V) of gas., , OR, At constant temperature, the pressure of, fixed amount (number of moles) of a gas varies, inversely with its volume., , ∴ P = k1 V ............. (10.1), (where k1 is proportionality constant), on rearranging, Eq. (10.1) be comes :, ∴ P V = k1 .............. (10.2), It means that at constant temperature,, product of pressure and volume of the fixed, amount of a gas is constant., Thus, when a fixed amount of a gas at, constant temperature (T) occuping volume V1, initially at pressure (P1) undergoes expansion, or compression, volume of the gas changes to, V2 and pressure to P2., According to Boyle’s law,, P1V1 = P2V2 = constant ......(10.3), , 142, , High pressure, Low volume, 2 atm, , 0, , 100, , 200cm3, , Low pressure, High volume, 1 atm, , 0, , Fig. 10.7 :, , 100, , 200cm3, , Schematic of the experiment, Boyle’s law

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pressure (P), , Figure 10.7 illustrates the Boyle’s, law experiment when the applied pressure, increases from 1 atm to 2 atm and volume of, the gas decreases from 200 cm3 to 100 cm3., Graphical Representation : Figure 10.8, shows how the pressure-volume relationship, can be expressed graphically. Figure 10.8, (a) shows a graph of the equation PV = k, at a given constant temperature, known as, Isotherm (constant temperature plot). For a, given mass of a gas, the value of k varies only, with temperature., , If the product of pressure and volume, (PV) is plotted against pressure (P), a straight, line is obtained paralled to x-axis (pressure, axis) as in Fig 10.8 (b)., When the pressure (P) of the gas is, plotted against (1/V), a straight line is obtained, passing through the origin as shown in, Fig. 10.8 (c), provided T and n are constant., However, at high pressure, deviation, from Boyle's law is observed in the behavior, of gases., Boyle's law in terms of density of gas : With, increase in pressure, gas molecules get closer, and the density (d) of the gas increases. Hence,, at constant temperature, pressure is directly, proportional to the density of a fixed mass of, gas. Therefore, from Eq. (10.2)., PV = k1, , volume (V), a. Graph of pressure, P, vs volume, V, of a gas at, different temperatures T1, T2, T3., , ..........(10.2), , ∴ V=, , k1, P, , But d =, , m, V, , ..........(10.4), , On Substituting V from Eq. (10.4),, , PV, , m, d =  × P,  k1 , , pressure (P), b. Graph of PV vs pressure, P, of a gas at different, temperatures T1, T2, T3., , , , ∴ d = kP,, .......... (10.5), where k = New Constant., , ∴d αP, Above equation shows that at, constant temperature, the pressure is directly, proportional to the density of a fixed mass of, the gas., , pressure (P), , Internet my friend, •, •, •, , 1/ V, c. Graph of pressure, P, of a gas vs 1/V at different, temperatures T1, T2, T3., , Fig. 10.8 : Boyle’s law : Graphical, representation, , 143, , Watch Boyle’s law experiment., www.socratica.youtube, Find applications of Boyle’s law., Try to study how Boyle’s law helps, in ‘scuba-diving’ i.e. Importance, of Boyle’s law in scuba-diving an, exhilarating sport.

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Where Vt and V0 are the volumes of the, given mass of gas at the temperatures t 0C and, 0 0C., Rearranging the Eq. (10.6) gives, t, Vt = V0 1+ 273.15, , Problem: 10.1 : The volume occupied by, a given mass of a gas at 298 K is 25, mL at 1 atmosphere pressure. Calculate, the volume of the gas if pressure is, increased to 1.25 atmosphere at constant, temperature., Given : P1 = 1 atm, V1 = 25 mL, P2 = 1.25 atm, V2 = ?, Solution :, According to Boyle’s law,, P1V1 = P2V2, Substituting the values of P1V1 and, P2 in the above expression we get, , ∴Vt = V0, , Volume occupied by the gas is 20 mL, 10.4.2 Charles’ law :, (Temperature -Volume Relationship), Just think, 1. Why does bicycle tyre burst during, summer?, 2. Why do the hot air balloons fly high?, J. Charles (1746-1823) and Gay Lussac, worked, , independently, , on, , influence of temperature on volume of a gas., Their experiments showed that for a given, mass of a gas at constant pressure its volume, increases with an increase in temperature. It, was found that for an increase of every degree, of temperature, volume of the gas increases, 1, by, of its original volume at 0 0C. This, 273.15, observation is expressed mathematically as, follows :, Vt = V0 +, , t, V, 273.15 0, , (10.7), , At this stage, a new scale of temperature, was introduced, namely, the absolute, temperature scale. This absolute temperature, (T K) was defined as, T K = t 0C + 273.15, This also called thermodynamic scale, of temperature. The units of this absolute, temperature scale is called (K) in the honour, of Lord Kelvin who determined the accurate, value of absolute zero as -273.15 0C in 1854., The Eq. (10.7) is now rewritten by replacing the, celcius temperatures by absolute temperaturs, as follows :, T, Vt = V0 , t, (10.8), T0, , P V 1× 25, V2 = 1 1 =, , = 20 ml, P2, 1.25, , (1778-1850), , t + 273.15, 273.15, , where Tt = t + 273.15 and T0 = 273.15, The Eq. (10.8) on rearrangement takes, the following form :, Vt, V, = 0, Tt, T0, From this, a general equation can be, written as follows :, V1, V, = 2, (10.9), T1, T2, ∴ V = constant = k2, T, (10.10), ∴ V = k2T, The Eq. (10.10) is the mathematical, expression of Charles law, which is stated as, follows :, ‘At constant pressure, the volume of a, fixed mass of a gas is directly proportional to, its temperature in kelvin.’, The law can be illustrated diagramatically, as shown in Fig. 10.9., , (10.6), , 144

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1 atm, , at constant, pressure, , 1 atm, , Remember, On the kelvin scale, water freezes at, at nearly 273 K and boils at about 373 K., (Note that we write kelvin temperatures in, K without a 0(degree) sign), , Heat, , 2 liters, 300 Kelvin, , In short, Charles’ law explains that at, constant pressure, gases expand on heating, and contract on cooling. Thus hot air is less, dense than cold air., 10.4.3 Gay-Lussac’s Law: (PressureTemperature Relationship) :, , 4 liters, 600 Kelvin, , Fig. 10.9 : At constant pressure, volume, changes with temperature, P1, P2, , Just think, 1. List out various real life examples, of Charles law., 2. Refer and watch Charles law, experiments., , - 273.15 0C 0 0C Temperature, 0K, 273.15 K, , (0C), , Problem 10.2 : At 300 K a certain, , Fig. 10.10 : Graph of volume against, temperature, , Absolute zero temperature and Charles law, According to Charles law, Eq. (10.10), the, graph of volume of a gas (at given constant, pressure, say P1) plotted versus its temperature, in celsius, is a straight line with a positive slope., (See Fig. 10.10). On extending the line to zero, volume, the line intercepts the temperature, axis at -273.15 0C. At any other value of, pressure, say P2, a different straight line for, the volume temperature plot is obtained, but, we get the same zero - volume temperature, intercept at - 273.15 0C. The straight line of the, volume versus temperature graph at constant, pressure is called isobar. Zero volume for a, gas sample is a hypothetical state. In practice, all the gases get liquified at a temperature, higher than - 273.15 0C. This temperature is, the lowest temperature that can be imagined, but practically cannot be attained. It is the, absolute zero temperature on the kelvin scale, (0 K)., Isobars: A graph of volume (V) vs absolute, temperature (T) at a constant pressure is, known as Isobar., , 145, , mass of a gas ocupies 1 × 10-4, dm3 volume. Calculate its volume, at 450 K and at the same pressure., Given : T1 = 300 K,, V1 = 1 × 10-4 dm3, T2 = 450 K,, V2 = ?, Solution : According to Charles’, law, at constant pressure., , V1 V2, =, T1 T2, , ∴ V2 =, , V1 × T2, T1, , 450 × 1× 10−4, , =, 300, ∴ V2 = 1.5 × 10-4 dm3, It relates the pressure and absolute, temperature of a fixed mass of a gas at, constant volume., Statement: At constant volume, pressure, (P) of a fixed amount of a gas is directly, proportional to its absolute temperature (T)., Mathematical Expression:, Mathematically, the law can be expressed as :, PαT, ..........(10.11), ∴ P = k3T

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P, = constant (at constant V and m), T, Graphical Representation : When a graph, is plotted between pressure (P) in atm and, Temperature (T) in kelvin, a straight line is, obtained as shown in Fig. 10.11. It is known, as isochore. With the help of this law, one, can unterstand relation between pressure and, temperature in day to day life., , ∴, , V = k 4n, (10.12), V, or n = constant (at constant temperature, and pressure), Avogadro Law can be well represented, from Fig. 10.12 as follows :, chlorine gas at, 00C and 1atm, pressure, 6.022 x 1023, molecules, of Cl2, , oxygen gas at, 00C and 1atm, pressure, 6.022 x 1023, molecules, of O2, , neon gas at, 00C and 1atm, pressure, 6.022 x 1023, atoms of Ne, , methane gas, at 00C and, 1atm pressure, , 6.022 x 1023, molecules of, CH4, , Volume of each gas is 22.414Lmol-1, Fig. 10.12 : Avogadro Law, , Can you recall?, 1 mole of a gas contains, Avogadro number of molecules =, 6.022 × 1023., , Fig. 10.11 : Pressure Vs Temperature, graph of a gas, , 10.4.4 Avogadro Law: (Volume-Amount, Relationship) :, , As the volume of a gas is directly, proportional to number of moles, one mole of, any gas at STP occupies 22.414 Lmol-1 volume., This volume is known as molar volume., , Use your brain power, , Remember, , Why the pressure in the automobile, tyres changes during hot summer or, winter season?, In 1811 Italian scientist Amedeo, Avogadro combined Dalton's atomic theory, with Gay Lussac's Law of combining volumes, (Chapter 1) to put forth what is known as, Avogadro law. It states that equal volumes, of all gases at the same temperature and, pressure contain equal number of molecules., This means that at a fixed temperature and, pressure, the volume of a gas depends upon, the number of molecules of the gas, that is, the, amount of the gas., Avogadro law can be expressed, mathematically as : V∝ n (where 'n' is the, number of moles of the gas in volume 'V'), On converting the proportionality into, equation we get, , What are STP conditions?, STP means Standard Temperature, and Pressure., IUPAC has set STP as, standard Pressure = 1 bar = 10­5 Pa, standard temperature = 273.15 K = 00C, Under these STP conditions molar, volume of an ideal gas or mixture of, two or more gases = 22.71 L mol-1, The old STP conditions are also in use,, where, standard pressure = 1 atm = 1.013 bar, standard temperature = 273.15 K = 00C, Under the old STP conditions molar, volume of an ideal gas or mixture of, two or more gases = 22.414 L mol-1, Relation between molar mass and density (d), of a gas : We have learnt how to find number, of moles of a gas. (Refer to Chapter 1.), , 146

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We know,, m, n = M ,, where m = mass of a gas,, M = molar mass of a gas., Substituting in equation (10.12) we get,, m, , V = k4 x M, ∴ M = k4, But, , m, =d, V, , m, V, , ..... (10.13), , substituting this in Eq. (10.13) we get, M = k4d, ...... (10.14), Where d = density of a gas., M = Molar mass, m = mass of gas, ∴dαM, From Eq. (10.14), we can conclude that, the density of a gas is directly proportional to, its molar volume., 10.5 Ideal Gas Equation : A gas that, follows strictly all the three laws; Boyle's, law, Charles' law and Avogadro law is an, ideal gas. Practically an ideal gas does not, exist. Real gases show ideal behaviour under, certain specific condition, when intermolecular, interactions are practically absent. Yet these, three gas laws and the ideal gas equation, obtained by treating them mathematically are, found to be very valuable in Chemistry., 10.5.1 Derivation of Ideal Gas Equation :, The three gas laws, namely, Boyle’s law,, Charles law and Avogadro law, are combined, mathematically to obtained what is called, ideal gas equation., Let us write the propotionalities of the, three gas laws :, 1, 1. At constant T and n, V α P, (Boyle’s law), 2. At constant P and n, V α T, (Charles’ law), 3. At constant P and T, V α n, (Avogadro law), Combining all the above three mathematical, propornalities we get,, nT, V α, P, , Converting this proportionality into, an equation by introducing a constant of, proportionality we get,,  nT , ∴V = R , ,  P , On rearraninging above equation, we, obtain,, ∴PV = nRT ............. (10.15), This equation is known as the Ideal Gas, Equation. In the ideal gas equation, if three, variables are known, fourth can be calculated., It describes the state of an ideal gas, therefore,, it is also called as equation of state. Here R, is called Gas constant, The value of R is the, same for all the gases. Therefore it is called, Universal gas constant., 10.5.2 Values of ‘R’ in different Units :, The value of R depends upon the units, used to express P, V and T. Hence we recall, STP conditions for determining values of ‘R’., i. R in SI Unit (in Joules) : Value of R can, be calculated by using the SI units of P,V, and T. Pressure P is measured in N m-2 or Pa,, volume V in meter cube (m3) and Temperature, T in kelvin (K),, PV, R = nT, 105Pa x 22.71 x 10-3 m3, ∴R=, 1 mol x 273.15 K, ∴ R = 8.314 Pa m3 K-1 mol-1, then R = 8.314 JK-1 mol-1, ii. R in litre atmosphere : If pressure (P) is, expressed in atmosphere (atm) and volume, in litre (L) or decimeter cube (dm3) and, Temperature in kelvin (K), (that is, old STP, conditions), then value of R is :, 1atm x 22.414 L, R = 1 mol x 273.15 K, ∴ R = 0.08206 L atm K-1 mol -1, , OR, 3, R = 0.08206 dm atm K-1mol-1, , 147

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Note : Often Pressure (P) is measured in atmosphere (atm). The conversion between, the units is done by noting that 1 atm = 1.013 × 105 Nm-2 or 1 atm = 101.3 kPa, Pressere (P), Pa (pascals), atm, atm, , Volume (V), m3, dm3, L, , Table 10.4 Unit of R, Number of moles (n) Temperture (T), mol, K, mol, K, mol, K, , iii. R in calories:, We know, 1 calorie = 4.184 Joules, 8.314, R ,  1.987  2 cal K-1 mol-1, 4.184, While using ideal gas equation one, should use consistent units. The most common, units are shown in Table 10.4., 10.5.3 Expression for Molar mass :, Ideal gas equation can be used to, determine the Molar mass (M) of a compound., Rearranging the equation (10.15), PV, , n=, .............. (10.16), RT, But for a known mass of a gas ‘m’, the, number of moles,, , Problem 10.3 : A sample of N2 gas, was placed in a flexible 9.0 L container, at 300K at a pressure of 1.5 atm. The, gas was compressed to a volume of, 3.0L and heat was added until the, temperature reached 600K. What is the, new pressure inside the container?, Given Data : V1 = 9 L V2 = 3L, P1 = 1.5 atm T2 = 600K, T1 = 300 k P2 = ?, Solution : According to combined gas, law equation,, PV, PV, 1.5  9 P2  3, 1 1, = 2 2 , , , 300, 600, T1, T2, ∴ P2 = 9 atm, , m, n=, M, , Problem 10.4 : Find the temperature, in 0C at which volume and pressure of, 1 mol of nitrogen gas becomes 10 dm3, and 2.46 atmosphere respectively., Given : P = 2.46 atm, V = 10 dm3,, n = 1mol, R = 0.0821 dm3-atmk-1mol-1, T = ?, Solution : Ideal gas equation is, PV = nRT, PV, 2.46 × 10, ∴ T =, =, nR, 1× 0.0821, , On substituting this in equation (10.16), we get, m, PV, =, M, RT, mRT, ....... (10.17), ∴M =, PV, 10.5.4 Combined Gas law :, The ideal gas equation is written as, PV = nRT, ...... (10.15), On rearranging Eq. (10.15) we get, , , ∴, , PV,  nR = constant, T, , PV, PV, 1 1, = 2 2, T1, T2, , T = 299.63K, Temp. in 0C = 299.63 - 273.15, = 26.48 0C, , ...... (10.18), , The ideal gas equation used in this form, is called combined gas law. We have to assume, a gas under two different sets of conditions, where pressure, volume and temperatures are, written for one state as P1, V1, T1 and the other, state as P2, V2, T2, respectively., , Gas consant (R), 8.314 J K-1 mol-1, 0.0821 atm dm3 K-1 mol-1, 0.0821 L atm K-1 mol-1, , 10.5.4 Relation between density, molar, mass and pressure :, Ideal gas equation can be expressed in, terms of density as follows :, PV = nRT, ....... (10.5), On rearranging it gives, n, P, =, V RT, , 148

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m, , But we know n = M, On substituting value of ‘n’, rearranged, equation becomesm, P, (at constant temperature), ∴, =, MV RT, P , d, ....... (10.19),  , M, , where, , RT, , m, = d = density of a gas, V, , On rearranging equation (10.19) we get, expression to calculate molar mass of a gas in, terms of its density., dRT, , .......(10.20), M=, P, From equation (10.19) Boyle’s law can, be stated in terms of density as : at constant, temperature, pressure of a given mass of gas, is directly proportional to its density., 10.5.6 Dalton’s law of Partial Pressure :, John Dalton not only put forth the atomic, theory, but also made several contributions, to understanding of the behaviour of gases., He formulated the law of partial pressure in, 1801. This law is applicable for those gases, which do not react chemically on mixing. The, pressure exerted by an individual gas in a, mixture of two or more gases is called partial, pressure. It is also the pressure that each gas, would exert if it were present alone. Daltons, law of partial pressure is stated as :, The total pressure of a mixture of two, or more non reactive gases is the sum of the, partial pressures of the individual gases in, the mixture., Mathematically, Dalton’s law may be, expressed as,, PTotal = P1 + P2 + P3 + .... (at constant V and T), Where PTotal is the total pressure of the, mixture and P1 , P2, P3, ........... are the partial, pressures of the individual gases 1, 2, 3, ..... in, the mixture., Partial pressure and mol fraction : We know, that the pressure of a pure gas is given by the, ideal gas equation, , P=, , nRT, V, , .... (10.21) (V and T are constant), ∴ P ∝ n., , Consequently, the pressure of an, individual gas in a mixture of gases is, proportional to its amount in that mixture., This implies that the total pressure (PT) of, a mixture of gases at constant volume (V), and Temperature (T) is equal to the sum of, the pressure that individual gas exerts in, the mixture. This is Dalton’s law of partial, pressures. It is shown in Fig. 10.13., , +, , P1, , P2, , P T = P1 + P2, , Fig. 10.13 : Schematic illustration of Dalton’s, law of partial pressures, , Just think, Do all pure gases obey all the gas, laws? Do the mixtures of gases obey the, gas laws ? Yes, the gas laws are also, applicable to the mixtures of gases. As, we have learnt in section 10.5.3 that, the measurable properties of mixture of, the gases such as pressure, temperature,, volume and amount of gaseous mixture, are all related by an ideal gas law., The partial pressures of individual gases, can be written in terms of ideal gas equation, as follows :, P1 = n1 RT ,, P2 = n2 RT ,, , V, , V, , P3 = n3 RT , ... and so on .... (10.21), ∴ PTotal = n1, , V, RT + n RT +, 2, V, V, , n3 RT, , V, , 149, , ......

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=, , RT (n + n + n ...) =, 1, 2, 3, V, , RT n, Total, V, , ........ (10.22), Mole fraction of any individual gas in the, mixture is given by the equation, , n1, , n1, , X1 = n + n + n ... = n, 1, 2, 3, Total, , .. (10.23), , From Eq. (10.21) and Eq. (10.23) we get, , n1 = P1, and, , RT, V, , nTotal = PTotal, , .... (10.24), RT, V, , .... (10.25), , By combining equation Eq. (10.24) and, Eq. (10.25) we get, , RT, P1, n1, V, nTotal = X1 =, RT, PTotal, V, , =, , P1, PTotal, ........ (10.26), , Therefore it follows that, P1 = X1.PTotal, ...... (10.27), Similarly,, P2 = X2.PTotal, P3 = X3.PTotal and so on., Thus partial pressure of a gas is, obtained by multiplying the total pressure, of mixture by mole fraction of that gas., Just think, Where is the Dalton's law applicable?, The most important gas mixture, is of course the air around us. Dalton, law is useful for the study of various, phenomena in air including air pollution., Aqueous Tension :A vapor is a gas in, contact with a liquid of the same substance., For example, the ‘gas’ above the surface of, liquid water is described as water vapour. The, pressure of the water vapour is known as its, vapour pressure., Suppose the liquid water is placed into a, container and air above is pumped away and, , 150, , Problem 10.5 : A mixture of 28g N2, 8, g He and 40 g Ne has 20 bar pressure., What is the partial pressure of each of, these gases ?, Solution : Partial pressure mole fraction, x total pressure, Step 1 : Determine the number of moles, (n) of each gas from its mass (m) and, molar mass (M), using the formula, m, n =, M, 28 g, nN2 = 28 g mol-1 = 1 mol, 8g, nHe = 4 gmol-1 = 2 mol, 40g, nNe = 28 g mol-1 = 2 mol, Step 2 : Determine the mole fraction, of each gas using the formula, n, xN =, 2, nTotal, nN2, 1 mol, xN2= n + n + n =, (1, +, 2 + 2) mol, N2, He, Ne, 1, = 5, nHe, 2 mol, 2, xHe =, =, = 5, nTotal, 5 mol, 2, Similarly XNe = 5, Step 3 : Calculate the partial pressure, 1, PN2 = X × PTotal = 5 × 20 bar, = 4 bar, 2, PHe = XHe × PTotal = 5 × 20 bar, = 8 bar, 2, PNe = XNe × PTotal = 5 × 20 bar, = 8 bar, the container is sealed. Then the liquid water, evaporates and only water vapour remains, in the above space. After sealing, the vapour, pressure increases initially, then slows down, as some water molecules condense back to, form liquid water. After a few minutes, the, vapour pressure reaches a maximum called, the saturated vapour pressure. (We will learn, more about in section 10.9.2) The pressure, exerted by saturated water vapour is called, Aqueous Tension (Paq).

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When a gas is collected over water in, a closed container, it gets mixed with the, saturated water vapour in that space. The, measured pressure, therefore, corresponds to, the pressure of the mixture of that gas and the, saturated water vapour in that space., Pressure of pure and dry gas can be, calculated by using the aqueous tension. It is, obtained by subtracting the aqueous tention, from total pressure of moist gas., ∴PDry gas= PTotal - Paq, i.e. PDry gas = PTotal - Aqueous Tension, , Table 10.5 : Aqueous Tension of Water (Vapour, Pressure) as a function of Temperature, Temp. Pressure Temp., Pressure, (K), (bar), (K), (bar), 273.15 0.0060, 295.15, 0.0260, 283.15 0.0121, 297.15, 0.0295, 288.15 0.0168, 299.15, 0.0331, 291.15 0.0204, 301.15, 0.0372, 293.15 0.0230, 303.15, 0.0418, , The above table reflects that Aqueous, Tension increases with increase in temperature., 10.6 Kinetic Molecular Theory of Gases :, The kinetic molecular theory of gases, is a theoretical model put forth to explain the, behavior of gases., Assumptions of kinetic molecular, theory of gases :, 1. Gases consist of tiny particles (molecules, or atoms)., 2. On an average, gas molecules remain far, apart from each other. Therefore the actual, volume of the gas particles is negligible as, compared to the volume of the container., (That is why the gases are highly, compressible)., 3. The attractive forces between the gas, molecules are negligible at ordinary, temperature and pressure. (As a result gas, expands to occupy entire volume of the, container)., 4. Gas molecules are in constant random, motion and move in all possible directions, in straight lines. They collide with each, other and with the walls of the container., , 5. Pressure of the gas is due to the collision of, gas particles with the walls of container., 6. The collisions of the gas molecules are, perfectly elastic in nature, which means, that the total energy of the gaseous particle, remains unchanged after collision., 7. The different molecules of a gas move, with different velocities at any instant and, hence have different kinetic energies. But, average kinetic energy of the gas molecules, is directly proportional to the absolute, temperature., Average K.E. ∝ T, 10.7 Deviation from Ideal behaviour : An, ideal gas is the one that exactly follows the, ideal gas equation. On rearranging the ideal, gas equation, n = PV/RT. If we use 1 mole of, any gas then the ratio PV/RT is predicted to, have numerical value of 1 at all pressures. If a, gas does not obey the ideal gas law, the ratio, will be either greater than 1 or less than 1, such, a gas is said to be a Real Gas., A. Ideal Gas:, 1. A gas that obeys all the gas laws over the, entire range of temperature and pressure., 2. There are no ineractive forces between the, molecules., 3. The molecular volume is negligibly small, compared to the volume occupied by the, gas. These are point particles., B. Real Gas :, 1. Real gas does not obey Boyle’s law and, Charles' law under all the conditions of, temperature and pressure., A deviation from the ideal behaviour, is observed a high pressure and low, temperature It is due to two reasons., (1) The intermolecular attractive forces are not, negligible in real gases. These do not allow the, molecules to collide the container wall with, full impact. This results in decrease in the, pressure., (2) At high pressure, the molecular are very, close to each other. The short range repulsive, forces start operating and the molecules, behave as small but hard spherical particles., The volume of the molecule is not, negligible. Therefore,x less volume is available, for molecular motion., , 151

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At very low temperature, the molecular, motion becomes slow and the molecules are, attracted to each other due to the attractive, force. Hence, here again the behaviour of the, real gas deviates from the ideal gas behaviour., Deviation with respect to pressure can be, studied by plotting pressure (P) vs volume (V), curve at a given temperature. (See Fig. 10.14, and Table 10.6)., , Compressibility Factor (Z) : Real Gases, show ideal behavior when pressure approaches, zero. Deviation from ideal behaviour can be, measured in terms of compressibility factor Z, which is the ratio of product PV and nRT., PV, Z=, nRT, Figure 10.15 shows the graph of Z vs P., It is a straight line parallel to x - axis (pressure, axis) where Z = 1., For ideal gas Z = 1 at all the value of, temperature and pressure. The significance, of Z is better understood from the following, derivation. we can write two equation (10.28), and (10.29) for real and ideal gas respectively., , Real gas, , Pressure, , Ideal gas, , 0, , PVreal, nRT, PVideal, and 1 =, nRT, P, I, =, ∴, nRT Videal, Z=, , Volume, , Fig. 10.14 : Plot of pressure Vs volume for, real and ideal Gas, , ......... (10.28), ......... (10.29), , Substituing the value of, Eq. (10.28), we get, , At very high pressure, the measured, volume is more than theoretically calculated, volume assuming ideal behaviour. But at low, pressure, measured and calculated volumes, approach each other., , Z=, , Vreal, Videal, , P, nRT, , in, , ......... (10.30), , Table 10.6 : Difference between Ideal Gas and Real Gas, Ideal gas, Real Gas, 1. Shows deviation from Boyle’s and Charles’ law at, 1. Strictly obeys Boyle’s and Charles’ law., high pressure and temperature. i.e. obeys Boyle’s, PV, law and Charles’ law at low pressure and high, =1, nRT, temperature., , PV, ≠1, nRT, 2. Molecules are perfectly elastic., 3. No attraction or repulsion between the gas, molecules i.e. collision without loss of kinetic, energy (K.E.), 4. Actual volume of the gas molecules is, negligible as compared to total volume of the, gas., 5. Can not liquify even at low temperature but, continues to obey Charles’ law and finally, occupies zero volume at -2730C., 6. Such a gas does not exist., , 2. Molecules are not perfectly elastic., 3. Intermoleculer attraction is present, hence collision, takes place with loss of kinetic energy., 4. Actual volume of individual gas, molecule is significant at high, pressure and low temperature., 5. Undergo liquefaction at low temperature when, cooled and compressed., 6. Gases that exist in nature like H2, O2, CO2 N2, He, etc., , 152

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1.8, , N2, H2, O2, , 1.6, , Z-PV/nRT, , 1.4, 1.2, , CH4, CO2, , The temperature above which a, substance cannot be liquified by increasing, pressure is called its critical temperature, (Tc)., , ideal gas, , 1.0, 0.8, 0.6, 0.4, 0, , 200 400, , 600 800 1000, P/bar, , Fig. 10.15 : Graph of compressibility factor, Z versus pressure for some gases, , The Eq.(10.30) implies that the, compressibility factor is the ratio of actual, molar volume of a gas to its molar volume, if it behaved ideally, at that temperature and, pressure., A positive deviation in Z, (Z > 1),, means that the volume of a molecule cannot, be neglected and the gas is difficult to compress., At lower pressure, the gases have Z = 1 or Z, < 1. Under this conditon the molecular volume, is negligible and the gases are compressible., Here, the gases show ideal behaviour., 10.7 Liquefaction of gases and critical, constant : Most gases behave like ideal gases, at high temperature. For example, the PV curve, of CO2 gas at 500C is like the ideal Boyle’s, law curve. As the temperature is lowered the, PV curve shows a deviation from the ideal, Boyle’s law curve. At a particular value of low, temperature the gas gets liquified at certain, increased value of pressure. For example, CO2, gas liquifies at 30.98 0C and 73 atmosphere, pressure (See Fig. 10.16)., This is the highest temperature at which, liquid CO2 can exist. Above this temperature,, howsoever large the pressure may be, liquid, CO2 cannot form. Other gases also show, similar behaviour., , Fig. 10.16 : Liquefaction of CO2 : Isotherms at, various temperature, , Above the critical temperature a substance, exists only as gas. The molar volume at, critical temperature is called the critical, volume (Vc). and the pressure at the critical, temperature is calles the critical pressure, (Pc) of that substance. The Table 10.7 gives, the values of these three critical constants for, some common gases., Table 10.7 : Critical constants for common, Gases, Substance Tc / K Pc/ bar Vc/dm3mol-1, H2, 33.2, 12.97, 0.0650, He, N2, , 5.3, 126.0, , 2.29, 33.9, , 0.0577, 0.0900, , O2, , 154.3, , 50.4, , 0.0744, , CO2, , 304.10, , 73.9, , 0.0956, , H2O, , 647.1, , 220.6, , 0.0450, , NH3, , 405.5, , 113.0, , 0.0723, , From the Table 10.7 it is seen that the gases, that we come across in everyday life, namely,, N2 and O2 , have Tc values much below 0 0C, and their Pc values are high. Consequently,, liquefaction of O2 and N2 (and air) requires, compression and cooling., , 153

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The Tc value of CO2 nearly equals the, room temperature, however, its Pc value is, very high. Therefore CO2 exists as gas under, ordinary condition., , Problem 10.6, CO2 has Tc = 38.980C and Pc = 73 atm. How, many phases of CO2 coexist at (i) 50 0C and, 73 atm, (ii) 20 0C and 50 atm., Solution:, (i) 50 0C and 73 atm represent a condition, for CO2 above its Tc. Therefore, under this, condition CO2 exists only as single phase., (ii) 200 C and 50 atm represent a condition, for CO2 below its Tc. Therefore, under this, condition two phases of CO2, namely, liquid, and gas can coexist, , Problem 10.5 : Water has Tc = 647.1 K and, Pc = 220.6 bar. What do these values imply, about the state of water under ordinary, conditions?, Solution : The Tc and Pc values of water are, very high compared to the room temperature, and, common, atmosheric, pressure., Consequently water exists in liquid state, under ordinary condition of temperature and, pressure., , Problem 10.7 : In which of the following, cases water will have the highest and the, lowest boiling point ?, Water is boiled, a. in an open vessel,, b. in a pressure cooker,, c. in a evacuated vessel., Solution : Higher the pressure to which a, liquid is exposed, higher will be its boiling, point. The pressure to which water is exposed, is maximum in the pressure cooker and, minimum in the evacuated vessel. Therefore, b.p. of water is highest in (b) and lowest in (c)., , Study of PV curves of various gases, at different temperatures reveals that under, certain conditions the substance changes, completely from gaseous to liquid state or, liquid to gaseous state, without having the, coexistence of two states. In other words, there, is a continuity between the gaseous and liquid, state. This continuity is recognized by using, the term Fluid for either gas or liquid. Under, these conditions liquid is just a very dense gas., Liquid and gas can be distingushed from each, other only when the fluid is at a temperature, below Tc., , Internet my friend, , Remember, When a liquid, which is exposed, to atmosphere, is heated, its vapour, pressure increases. Eventually it becomes, equal to the atmospheric pressure. At this, temperature the vaporisation takes place, throughout the bulk of the liquid, and the, vapour formed escapes freely, into the, surroundings. We call this boiling point of, the liquid. The boiling temperature (boiling, point) depends upon the pressure to which, the surface of the liquid is exposed. If the, pressure is 1 atm, the boiling temperature, is called normal boiling point. If the, pressure is 1 bar, the boiling temperature is, called stadard boiling point., For water: normal b.p. = 100 0C, standard, b.p. = 99.6 0C, , 1. https://chem.libretexts.org>bookshelves., Gas laws : overview, 2. Collect information about State of Mater, 10.8 Liquid state : Liquid state is the, intermediate state between solid state and, gaseous state. Molecules of liquid are held, together by moderately strong intermolecular, forces and can move about within the, boundary of the liquid. As a result, liquid, posseses properties such as fluidity, definite, volume and ability to take shape of the, bottom of the container in which it is placed., Different liquids are characterized by their, quantitative properties such as density, boiling, point, freezing point, vapour pressure, surface, tension and viscosity. We will look at some of, these propeties in the following sections., , 154

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10.8.2 Surface Tension : Many phenomena, such capillary rise of liquids, spherical shapes, of liquid drops are due to the property of liquids, called surface tension. Surface of a liquid, acts as a stretched membrane. The particles, in the bulk of liquid are uniformly attracted, in all directions and the net force acting on, the molecules present inside the bulk is zero., But the molecules at the surface experience a, net attractive force towards the interior of the, liquid, or the forces acting on the molecules, on the surface are imbalanced (see Fig.10.18)., Therefore, liquids have a tendency to minimize, their surface area., , 10.8.1 : Vapour Pressure : Molecules of, liquid have a tendency to escape from its, surface to form vapour about it. This called, evaporation. When a liquid is placed in a, closed container.It undergoes evaporation and, vapours formed undergo condensation. At, equilibrium, the rate of evaporation and rate of, condensation are equal. The pressure exerted, by the vapour in equilibrium with the liquid, is known as saturated vapour pressure or, simply vapour pressure., The vapour pressure of water is also, called Aqueous Tension. (Refer to Table 10.5), Schematically vapour pressure is explained in, Fig. 10.17., , Molecule at, the surface, (imbalanced, force), , Vapours, Closed, vessel, Beaker, Containing, liquid, , Vapours, Pressure, , Molecule in, the bulk, , (balanced force), , Mercury, manometer, , Fig. 10.17 : Vapour pressure of a liquid, , Factors affecting vapour pressure :, a. Nature of liquid : Liquids having relatively, weak intermolecular forces possess high, vapour pressure. These are called valatile, liquids. For example, petrol evaporates quickly, than motor oil., b. Temperature : When the liquid is gradually, heated, its temperature rises and its vapour, pressure increases., Unit : Vapour pressure is measured by means, of a manometer. The most common unit for, vapour pressure is torr. 1 torr = 1 mm Hg., For example, water has a vapour pressure of, apporximately 20 torr at room temperature., (Refer to section 10.5.6 and Table 10.5), Just think, What makes, the oil rise, through the wick, in an oil lamp ?, , 155, , Fig. 10.18 : Imbalance of forces, at the surface of a liquid, , Surface tension is a temperature, dependent property. When attractive forces are, large, surface tension is large. Surface tension, decreases as the temperature increases. With, increase in temperature, kinetic energy of, molecules increases. So intermolecular forces, of attraction decrease, and thereby surface, tension decreases., The force acting per unit length, perpendicular to the line drawn on the, surface of liquid is called surface tension., Unit : Surface tension is measured in SI Unit,, Nm-1, denoted by Greek letter “γ’’ (Gamma), Application of surface tension :, i. Cleaning action of soap and detergent, is due to the lowering of interfacial tension, between water and oily substances. Due, to lower surface tension, the soap solution, penetrates into the fibre, surrounds the oily, substance and washes it away.

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ii. Efficacy of toothpastes, mouth washes, and nasal drops is partly due to presence of, substances having lower surface tension. This, increases the efficiency of their penetrating, action., 10.8.3 Viscosity : As noted earlier, liquids, (fluids) have a tendency to flow. Viscosity, measures the magnitude of internal friction in, a liquid or fluid to flow as measured by the, force per unit area resisting uniform flow,, different layers of a liquid flow with different, velocity. This called laminar flow. Here, the, layers of molecules in the immediate contact, of the fixed surface remains stationary. The, subsequent layers slip over one another. Strong, intermolecular forces obstruct the layers from, slipping over one another, resulting in a friction, between the layers., Viscosity is the force of friction between the, successive layers of a flowing liquid. It is also, the resistance to the flow of a liquid., When a liquid flows through a tube, the central, layer has the highest velocity, whereas the, layer along the inner wall in the tube remains, stationary. This is a result of the viscosity of, a liquid (see Fig. 10.19). Hence, a velocity, gradient exists across the cross-section of the, pipe/tube., V - dV, Centre, of tube, , V, V - dV, , Fig. 10.19 : Laminar flow of a liquid (fluid), through a tube/pipe, , Viscosity is a temperature dependent property., 1, Viscosity α, Temperature, Viscosity also depends on molecular, size and shape. Larger molecules have more, viscosity and spherical molecules offer the, least resistance to flow and therefore are less, viscous. Greater the viscosity, slower is the, liquid flow., , 156, , Unit : Viscosity is expressed in terms of, coefficient of viscosity, ‘η’ (Eta). It is defined, as the degree to which a fluid resists flow under, an applied force, measured by the tangential, frictional force per unit area per unit velocity, gradient when the flow is laminar., SI unit of viscosity coefficient is N s m-2, (newton second per square meter). In CGS, system the unit (η) is measured in poise., 1 poise = 1 gm cm-1s-1 = 10-1 kg m-1s-1, Illustration of viscosity :, i. Lubricating oils are viscous liquids., Gradation of lubricating oils is done on, the basis of viscosity. A good quality, Lubricating oil does not change its viscosity, with increase or decrease in temeperature., ii. Increase blood viscosity than the normal, value is taken as an indication of cardio, vascular disease., iii. Glass panes of old buildings are found to, become thicker with time near the bottom., This is one evidence which indicates that, glass is not a solid but a supercooled, viscous liquid., , Internet my friend, https://www.britannica.com/science/, viscosity.

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Exercises, 1. Select and write the most appropriate, alternatives from the given choices., A. The unit of viscosity is, a. dynes , b. newton, c. gram , d. poise, B. Which of the following is true for 2 moles, of an ideal gas ?, a. PV = nRT , b. PV = RT, c. PV = 2RT , d. PV = T, C. Intermolecular forces in liquid are a. greater than gases, b. less than solids, c. both a and b, d. greater than solids, D. Interactive forces are .......... in ideal gas., a. nil , b. small, c. large , d. same as that of real, , gases, E. At constant temperature the pressure of, 22.4 dm3 volume of an ideal gas was, increased from 105 kPa to 210 kPa, New, volume could bea. 44.8 dm3, b. 11.2dm3, 3, c. 22.4 dm, d. 5.6dm3, 2. Answer in one sentence., A. Name the term used for mixing of, different gases by random molecular, motion and ferquent collision., B. The pressure that each individual gas, would exert if it were alone in the, container, what do we call it as ?, C. When a gas is heated the particles move, more quickly. What is the change in, volume of a heated gas if the pressure, is kept constant ?, D. A bubble of methane gas rises from, the bottom of the North sea. What will, happen to the size of the bubble as it, rises to the surface ?, E. Convert the following temperatures, from degree celcius to kelvin., a. -15° C , b. 25° C, c. -197° C , d. 273° C, , 157, , F., , Convert the following pressure values, into Pascals., a. 10 atmosphere, c 107000 Nm-2, b. 1 kPa. , d. 1 atmosphere, G. Convert :, a. Exactly 1.5 atm to pascals, b. 89 kPa to newton per square metre, , (Nm-2), c. 101.325 kPa to bar, d. -100° C to kelvin, e. 0.124 torr to standard atmosphere, H. If density of a gas is measured at, constant temperature and pressure then, which of the following statement is, correct ?, a. Density is directly proportional to, molar mass of the gas., b. Greater the density greater is the, molar mass of the gas., c. If density, temperature and pressure, is given ideal gas equation can be, used to find molar mass., d. All the above statements are correct., I. Observe the following conversions., a., +, H2, b., , Cl2, , +, , Cl2, , 2HCl, , +, , 2H2, , J., , +, , 2HCl+H2, , Which of the above reactions is, in accordance with the priciple of, stoichiometry ?, Hot air balloons float in air because, of the low density of the air inside the, balloon. Explain this with the help of, an appropriate gas law.

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3. Answer the following questions., A. Identify the gas laws from the following, diagrams., Diagrams , Gas laws, 1 atm 0.5 atm, a. , , H. Name the types of intermolecular forces, present in Ar, Cl2, CCl4 and HNO3, I. Match the pairs of the following :, ‘A’, , ‘B’, a. Boyle’s law , i. at constant pressure, and volume, b. Charles’ law, ii. at constant, temperature, iii. at constant pressure, J. Write the statement for :, (a) Boyle’s law (b) Charles’ law, K. Differentiate between Real gas and Ideal, gas., 4. Answer the following questions, A. State and write mathematical expression, for Dalton’s law of partial pressure and, explain it with suitable example., B. Derive an Ideal gas equation. Mention the, terms involved in it. Also write how it is, utilised to obtain combined gas law., C. With the help of graph answer the, following -, , T constant, 1 atm, , 1 atm, , b. , T = 200 K T = 600 K, 1 bar, , 1 bar, , c. , 37.2 L, 24.8 L, n = 1 mol n = 1.5 mol, , B. Consider a sample of a gas in a cylinder, with a movable piston., Movable piston, , Gas, , T constant, , Show digramatically the changes in the, position of piston, if a. Pressure is increased from 1.0 bar to, 2.0 bar at constant temperature., b. Temperature is decreased from 300 K to 150, K at constant pressure, c. Temperature is decreased from 400 K to, 300 K and pressure is decreased from, 4 bar to 3 bar., D. List the characteristic physical properties of, the gases., E. Define the terms: a. Polarizability, , b. Hydrogen bond, c. Aqueous tension, , d. Dipole moment, F. Would it be easier to drink water with a, straw on the top of the Mount Everest or at, the base ? Explain., G. Identify type of the intermolecular forces in, the following compounds., a. CH3 - OH, b. CH2, CH2, c. CHCl3 , d. CH2Cl2, , P, , 1/V, , At constant temperature,, a. Graph shows relation between pressure, and volume. Represent the relation, mathematically., b. Identify the law., c. Write the statement of law., D. Write Postulates of kinetic theory of gases., E. Write a short note on a. Vapour pressure., b. Surface tension, c. Viscosity., 5. Solve the following, A. A balloon is inflated with helium gas at, room temperature of 250C and at 1 bar, pressure when its initial volume is 2.27L, and allowed to rise in air., , 158

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As it rises in the air external pressure, decreases and the volume of the gas, increases till finally it bursts when, external pressure is 0.3bar. What is the, limit at which volume of the balloon can, stay inflated ?, (Ans:7.567L), B., A syringe has a volume of, 10.0 cm3 at pressure 1 atm. If, you plug the end so that no gas, can escape and push the plunger, down, what must be the final, volume to change the pressure, to 3.5 atm?, , (Ans:2.9 cm3), C. The volume of a given mass of a gas at, 00C is 2 dm3. Calculate the new volume, of the gas at constant pressure when, 0, a. The temperature is increased by 10­, C., (Ans: 2.07 dm3), 0, b.The temperature is decreased by10­­, C., (Ans:1.93 dm3), D. A hot air balloon has a volume of 2800, m3 at 990 C. What is the volume if the, air cools to 800 C?, (Ans:2657 m3), , E. At 00C, a gas occupies 22.4 liters. How, nuch hot must be the gas in celsius, and in kelvin to reach volume of 25.0, literes?, , (Ans:31.7 0C/304.9 K), F. A 20 L container holds 0.650 mol of, He gas at 370C at a pressure of 628.3, bar. What will be new pressure inside the, container if the volume is reduced to 12, L. The temperature is increased to 177, 0, C and 1.25 mol of additional He gas, was added to it?, (Ans:4443 bar/4385 atm), , G. Nitrogen gas is filled in a container, of volume 2.32 L at 320C and 4.7 atm, pressure. Calculate the number of moles, of the gas. , (Ans:0.436 moles), H. At 25 0C and 760 mm of Hg pressure, a gas occupies 600 mL volume. What, will be its pressure at the height where, temperature is 10 0C and volume of the, gas 640 mL ?, , (Ans : 676.6 mm Hg), I. A neon-dioxygen mixture contains 70.6 g, dioxygen and 167.5g neon.If pressure of, the mixture of the gases in the cylinder, is 25 bar. What is the partial pressure of, dioxygen and neon in the mixture?, (Ans:pO = 5.25 bar, pNe=19.75 bar), 2, J. Calculate the pressure in atm of 1.0, mole of helium in a 2.0 dm3 container, at 20.00C., , (Ans:12.02 atm), K. Calculate the volume of 1 mole of a gas, at exactly 20 0C at a pressure of 101.35, kPa., (Ans: 24.055 dm3), L. Calculate the number of molecules of, methane in 0.50 m3 of the gas at a, pressure of 2.0×102 kPa and a temperature, of exactly 300 K., (Ans: 2.4×1025), , Activity :, Perform different activities related to, concepts mentioned in chapter., , 159

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11. Adsorption and Colloids, 11.1 Introduction : When a metal spoon is, dipped in milk and taken out, you will notice, that a film of milk particles cover the spoon, surface. If a cold water bottle is taken out, from the refrigerater and kept on a table for a, while, water vapour is seen to condense on the, outer surface of the bottle, forming droplets, or a film. Here the milk particles or the water, molecules from the air get adsorbed on the, surface of the spoon and the bottle. Surfaces, of all the objects around us are exposed to the, atmosphere. Water molecules as well as other, gas molecules such as N2, O2, from the air, form an invisible multi molecular film on these, objects. This is known as the phenomenon of, adsorption., B, , A, , A - Bulk molecule, B - Surface molecule, , Fig 11.1 Unbalanced forces, , 11.2. Adsorption :, 11.2.1 Unblanced forces : Consider a surface, of liquid or solid. The molecular forces at, the surface of a liquid are unbalanced or, in unsaturation state. In solids, the ions or, molecules at the surface of a crystal do not, have their forces satisfied by the close contact, with other particles., Because of the unsaturation solid, and liquid surfaces tend to attract gases or, dissolved substances with which they come in, close contact. Thus the substance accumulates, on the surface of solid or liquid., Can you tell?, What is adsorption ?, , 11.2.2 Why does adsorption occur?, The adsorption phenomenon is caused, by London dispersion forces or van der Waals, forces. These are short range and additive. The, adsorption force is the sum of all interactions, between all the atoms. The pulling interactions, cause the surface of a liquid to tighten like an, elastic film. A measure of the elastic force at, the surface of a liquid is called surface tension., (Refer to Chapter 10)., The surface tension is the amount of, energy required to stretch or increase the, surface of a liquid by a unit area. There is a, tendency to have minimum surface tension, that is, decrease of free energy, which leads to, adsorption. Terms involved in adsorption :, Adsorbent : The material or substance present, in the bulk, on the surface of which adsorption, takes place is called adsorbent., Adsorbate : The substance getting absorbed, on the the adsorbent is called as adsorbate., 11.2.3 Examples of Absorption: You know, that when cotton is dipped in water, cotton, becomes wet with water which is due to, absorption., Some more examples of adsorption :, i. Adsorption of gases like hydrogen, oxygen,, by finely divided metals, namely, platinum,, palladium, copper, nickel, etc., ii. Adsorption of gases like nitrogen,, carbondioxide, by activated charcoal., iii. Removal of colouring matter like an, organic dye, for example methylene blue., When charcoal is added to methylene blue, solution and shaken, it becomes colourless, after some time, as dye molecules, accumulate on the surface of charcoal., Table 11.1 shows comparison between, adsorption and absorption., 11.2.4 Desorption: The process of removal, of an adsorbed substance from a surface on, which it was adsorbed is called desorption., , 160

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Table 11.1 : Comparison between Adsorption and Absorption, Adsorption, Absorption, 1. Adsorbed matter is concentrated only at the, Absorbed matter is uniformly distributed inside, surface and does not penetrate through the as well as on the surface of the bulk of substance., surface to the bulk of adsorbent. Adsorption is Absorption is a bulk phenomenon., a surface phenomenon., 2. Concentration of the adsorbate is high only at Concentration of the absorbate is uniform, the surface of the adsorbent., throughout the bulk of the absorbent., 3. It is dependent on temperature and, It is independent of temperature and, pressure., pressure., 4. It is accompanied by evolution of heat known It is not accompanied by evolution or absorption of, as heat of adsorption., heat., 5. It depends on surface area, It is independent of surface area., 6. Example: Adsorption of a gas or liquid like Example : Absorption of water by cotton. Absorption, acetic acid by activated charcoal, of ink by blotting paper., , Try this, Dip a chalk in ink. What do you observe ?, 11.2.5 Sorption: When a chalk is dipped in ink,, ink molecules are adsorbed at the surface of, chalk and the surface becomes coloured, while, the solvent of the ink goes deeper into the chalk, due to absorption. When, both adsorption and, absorption occur simultaneously it is known as, sorption., 11.3 Types of adsorption: There are, mainly two types of adsorption phenomenon, depending on nature of forces involved., 11.3.1 Physical Adsorption or physisorption:, When the adsorbent such as gas molecules, are accumulated at the surface of a solid on, account of weak van der Waals forces, the, adsorption is termed as physical adsorption or, physisorption., The van der Waals forces, are similar to, forces causing condensation of gas into liquid., Thus, heat is released in physisorption. The heat, released during physisorption is of the same, order of magnitude as heat of condensation., Due to weak nature of van der Waals forces,, physisorption is also weak in nature. The, adsorbed gas forms several layers of molecules, at high pressures. The extent of adsorption is, large at low temperatures. The equilibrium is, attained rapidly. The physisorption is readily, reversed by lowering of pressure of gas or by, raising temperature., , 11.3.2, Chemical, Adsorption, or, Chemisorption : Chemisorption was first, investigated in 1916 by American Chemist,, Irving Langmuir (1881-1957). When the, gas molecules accumulate on the surface of, a solid or adsorbate by means of chemical, bonds, be it covalent or ionic, the adsorption is, called chemical adsorption (or chemisorption)., Chemisorption is specific in nature., Chemisorption involving the gas-solid as the, adsorbate and adsorbent, is usually exothermic., It means that heat is released during this process., (Exception : the adsorption of hydrogen on, glass is endothermic : heat is absorbed during, the process. This is due to dissociation of, hydrogen.) The heat evolved in chemisorption, per mole of adsorbate is nearly the same order, of magnitude as that accompaning chemical, bonding. Chemisorption involves a large, energy of activation and referred as activated, adsorption. Chemisorption increases with, increase in temperature in the beginning, as, more number of molecules can have activation, energy. But after certain temperature, chemisoption decreases with increase in, temperature, as the chemical bonds break., Sometimes, at, low, temperature,, physisorption occurs which passes into, chemisorption as the temperature is raised., Besides, chemisorption is dependent on surface, area of the adsorbent (See Table 11.2)., , 161

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Table 11.2 : Comparison of physisorption and chemisorption, Physisorption, Chemisorption, 1. The forces operating are weak van der Waals 1. The forces operating are chemical nature, forces., (covalent or ionic bonds)., 2. Not specific in nature. All gases adsorb on 2. Highly specific and occurs only when chemical, all solids. For example, all gases adsorb on, bond formation is possible between adsorbent, charcoal., and adsorbate. For example, adsorption of, oxygen on tungsten, hydrogen on nickel, etc., 3. The heat of adsorption is low and lies in the 3. Higher heat of adsorption and lies in the range, 40 - 200 kJ mol-1, range 20 - 40 kJ mol-1, 4. Occurs at low temperature and, 4. Favoured at high temperature, the extent of, decreases with an increase of temperature., chemical adsorption is lowered at very high, temperature, due to bond breaking., 5. For example : at low temperature N2 gas is 5. For example N2 gas chemically adsorbed on, physically adsorbed on iron., iron at high temperature forms a layer of iron, nitride, which desorbs at very high temperature., 6. Reversible., 6. Irreversible., 7. Physisorbed layer may be multimolecular layer, of 7. Chemisorption forms monomolecular layer of, adsorbed particles under high pressure., adsorbed particles., , 11.4 Factors affecting adsorption of gases, on solids : All solids adsorb gases to some, extent. The extent of adsorption depends upon, a number of factors discussed in this section., 1. Nature of adsorbate (gas) : The amount, of gas adsorbed by a solid depends on the, nature of the gas. Gases having high critical, temperature liquify easily and can readily be, adsorbed. (Refer to chapter 10). The gases such, as SO2, Cl2, NH3 which are easily liquifiable, are adsorbed to a large extend compared to N2,, O2, H2 etc, which are difficult to liquify., Table 11.3 : Critical temperature of gases and, volume adsorbed, Gas, Critical, Volume adsorbed/, temperature/K, cm3, N2, 126, 08, HCl, NH3, , 324, 406, , 72, 181, , Cl2, , 417, , 235, , SO2, , 430, , 380, , 2. Nature of adsorbent: Substances which, provide large surface area for a given mass are, effective as adsorbents and adsorb appreciable, volumes of gases. Silica gel, charcoal are, effective adsorbents due to their porous nature., , 3. Surface area of adsorbent : Adsorption is, a surface phenomenon. Hence, the extent of, adsorption increases with increase in surface, area of adsorbent. Finely divided substances,, rough surfaces, colloidal substances are good, adsorbents as they provide larger surface area, for a given mass., 4. Temperature :, Adsorption is an, exothermic process. According to LeChatelier’s principle (Chapter 12), it is, favoured at low temperature. The amount of, gas adsorbed is, thus, inversely proportional, to temperature., Figure 11.2 shows plots of volume of N2, adsorbed per unit mass of adsorbent against, the pressure of a gas at different temperatures., As temperature increases from 193 K to 273, K at a constant pressure ‘P’ the amount of gas, adsorbed decrease., 5. Pressure of gas : At any temperature,, the extent of gas adsorbed increases with an, increase of pressure. The extent of adsorption, is directly proportional to pressure of the gas., At high pressures extent of adsorption becomes, independent of the pressure. The surface of, adsorbent is, then, almost fully covered by, adsorbed gaseous molecules., , 162

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y, 195 K, 244 K, x/m, , 273 K, , P, , x, , Fig 11.2 Variation of adsorption with, temperature and pressure, , 11.5 Adsorption Isotherm : The relationship, between the amount of a substance adsorbed, per unit mass of adsorbent and the equilibrium, pressure (in case of gas) or concentration, (in case of solution) at a given constant, temperature is called an adsorption isotherm., Various adsorption isotherms are known., Freundlich adsorption isotherm : Freundlich, proposed an empirical equation for adsorption, of a gas on solid., x = k P 1/n (n>1), (11.1), , In case of solution, P in the Eq. (11.1) is, replaced by the concentration and thus, x, = kC1/n , (11.2), m, After taking logarithm of the above, Eq. 11.2, x, 1, log, = log k +, log C, (11.3), m, n, x, Plotting log, against log C or log P,, m, a straight line is obtained which is shown in, Fig.11.4., The slope of the straight line gives, 1, . While intercept on y-axis gives log k. The, n, 1, factor, ranges from 0 to 1. Equation (11.3), n, holds good over limited range of pressures., x, 1, When, → 0,, → constant, the, m, n, adsorption, then, is independent of pressure., x, x, 1, = 1,, = kP. i.e., α P the, When, m, m, n, adsorption varies directly with pressure. The, experimental isotherms as in Fig. 11.3 tend to, saturate at the high pressure., , m, , Where x = mass of the gas adsorbed, m = mass of the adsorbent at presure P, x = mass of gas adsorbed per unit mass of, m, adsorbent, P = equilibrium pressure., k and n are constants which depend, on the nature of adsorbate, adsorbent and, temperature., Graphical Representation of Freundlich, equation., , x/m, , P, , Fig 11.3 Adsorption isotherm, , Fig. 11.4 : Freundlich isotherm, , 11.6 Applications of Adsorption :, The adsorption finds large number of, applications as illustrated here., i. Catalysis: Heterogeneous catalysis :, The solid catalysts are used in many, industrial manufacturing processes. For, example, iron is used as the catalyst in, manufacturing of ammonia; platinum in, manufacturing of sulphuric acid, H2SO4, (by contanct process). In hydrogenation, of oils, finely divided nickel is employed, as catalyst., , 163

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ii., , Gas masks: It is a device which consists, of activated charcoal or mixture of, adsorbents. It is used for breathing in coal, mines to avoid inhaling of the poisonous, gases., iii. Control of humidity : Silica and alumina, gels are good adsorbents of moisture., iv. Production of high vacuum : Lowering, of temperature at a given pressure,, increases the rate of adsorption of gases, on charcoal powder. By using this, principle, high vacuum can be attained, by adsorption. A vessel evacuated by, vacuum pump is connected to another, vessel containing coconut charcoal, cooled by liquid air. The charcoal adsorbs, the remaining traces of air or moisture to, create a high vacuum., v. Adsorption Indicators : The adsorption, is used to detect the end point of, precipitation titrations. Dyes such as, eosin, fluorescein are used as indicators., For example, A solution of sodium chloride, containing a small amount of fluorescein, is titrated against silver nitrate solution., NaCl + AgNO3 → AgCl + NaNO3, , , White ppt, , When chloride ions are over, fluorescein, is adsorbed on white silver chloride, precipitate and red colour is developed., Thus colour change from pale yellow to, reddish pink is observed at the end point., vi. Separation of inert gases : In a mixture, of noble gases, different gases adsorb, to different extent. Due to selective, adsorption principle, gases can be, separated on coconut charcoal., vii. Froth floatation process : A low grade, sulfide ore is concentrated by separating it, from silica and other earthy matter using, pine oil as frothing agent. Hydrophobic, pine oil preferentially wets (adsorbs on), sulfide ore which is taken up in the froth., viii. Chromatographic analysis : It is based, on selective adsorption of ions from, solution using powdered adsorbents such, as silica or alumina gel. It has several, , industrial and analytical applications., Other applications include surface area, determination, purification of water, etc., 11.7 Catalysis : Catalysts are of importance in, chemical industry and in living organisms. A, large number of the chemicals manufactured, in industries make use of catalysts to obtain, specific products, The use of catalyst lowers, the reaction temperature, and energy costs, significantly., A catalyst thus can be defined as a, substance which when added to a reacting, system increases the rate of a reaction, without itself undergoing any permanent, chemical change. Catalysis is of two types,, namely homogeneous an heterogeneous, catalysis., 11.7.1 Homogeneous Catalysis : When the, reactants and the catalyst are in the same, phase, it is said to be homogenous catalysis., Examples of homogeneous catalysis:, i. Iodide ion (I ) finds use as homogeneous, catalyst in decomposition of aqueous, hydrogen peroxide (Both I and H2O2 are, present in the same aqueous phase), ii. Oxidation of sulfur dioxide to sulfur, trioxide with dioxygen (O2) in the, presence of nitirc oxide as catalyst (lead, chamber process)., (g), 2 SO2 (g) + O2 (g) NO,  2 SO3 (g), iii. Hydrolysis of sugar is catalysed by H⊕, ion furnished by sulphuric acid., H SO, C12H22O11 (aq) + H2O (l), 2, , 4, , Sucrose solution, , C6H12O6 (aq) + C6H12O6 (aq), Glucose, , Fructose, , All reactants and catalyst are in same, solution phase., iv. Enzyme catalysis is also an important, type of homogeneous catalysis., 11.7.2 Heterogeneous Catalysis : When the, reactant and catalyst are in different phase, it, is said to be heterogeneous catalysis., The heterogeneous catalyst is generally, a solid and the reactants may either be gases, , 164

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or liquids. The solid catalyst is added to the, reaction mixture. It does not dissolve in the, reacting system. The reaction accurs on, surface of solid catalyst., Examples of heterogeneous catalysis:, i. Dinitrogen (N2) and dihydrogen (H2), combine to form ammonia in Haber, process in presence of finely divided iron, along with K2O and Al2O3., Fe(s), , N2 (g) + 3 H2(g) K O, Al O 2 NH3 (g), 2, , 2, , 3, , Here Al2O3 and K2O are promoters, of the Fe catalyst. Al2O3 is added to, prevent the fusion of Fe particles. K2O, causes chemisorption of nitrogen atoms., Molybdynum is also used as promoter., ii. Hydrogenation reaction of vegetable oils, to produce solid fat is used in food industry., The reaction is catalysed by finely divided, metals like Ni, Pd or Pt. Vegetable oil, contains one or more carbon carbon, double bonds (C = C) in its structure. On, hydrogenation a solid product (which, contains only carbon carbon single bonds), is formed. It is called vanaspati ghee., Ni (s), Vegetable oil (l) + H2 (g), (C = C), Vegetable ghee(s), , (C - C), iii. Another important application of, heterogenous catalysts is in automobile, catalytic converters. In automobile exhaust,, large number of air pollutants such as carbon, monoxide, nitric oxide, etc. are present., The catalytic converter transforms the air, pollutants into carbon dioxide, water, nitrogen, and oxygen. The catalyst is poisoned by the, adsorption of Pb (lead). The automobiles with, catalytic converter require unleaded petrol., 11.7.3 Inhibitors : Inhibitors are substances, those decrease rate of chemical reaction., Examples,, i. Chlorofom was once used as anaesthetic., It forms poisonous substance, carbonyl, chloride by air oxidation., 4 CHCl3 (l) + 3 O2 (g) → 4 COCl2 (g) + 2 H2O (l), + 2 Cl2 (g), , When 2% ethanol is added to chloroform,, the formation of COCl2 is suppressed., Ethanol acts as an inhibitor and retards the, above reaction., ii. Hydrogen peroxide decomposes as,, 2 H2O2 (l) → 2 H2O (l) + O2 (g), The reaction is inhibited by addition of, dilute acid or glycerol acting as inhibitor., 11.8 Adsorption Theory of Heterogeneous, catalysis: The catalytic action occurs on the, surface of a catalyst. The mechanism involves, five steps., i. Diffusion of reactants toward the surface, of the catalyst., ii. Adsorption of reactant molecules on the, surface of the catalyst., iii. Occurrence of chemical reaction on the, catalyst surface and formation of an, intermediate., iv. Formation of products., v. Desorption of reaction products from the, catalyst surface. Products leave catalyst, surface., The steps involved can be shown as :, Diffusion → Adsorption → intermediate formation, ↓, Desorption ← Product formation, , Fresh reactant molecules can replace the, products to start the cycle again as in step (i)., This explains why catalyst remains unchanged, in mass and chemical composition at the end, of the reaction., 11.8.1 Important features of solid catalysts:, a. Catalytic activity : The activity of a catalyst, depends on the strength of chemisorption. If, large number of reactant molecules (gas or, liquid) are strongly adsorbed on the surface of, solid catalyst, the catalyst is said to be active., However, the adsorption of reactant molecules, on the surface, that is, the bond formed between, adsorbate and adsorbent surface should not be, very strong so that they are not immobilized., It has been found that d-block metals, such as Fe, V and Cr tend to be strongly active, toward O2, C2H2, C2H4, CO, H2, CO2, N2 etc;, Mn and Cu are unable to adsorb N2 and CO2., The metals Mg and Li adsorb O2 selectively., , 165

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b. Catalytic selectivity : Some solid catalysts, are selective in their action. The same gaseous, reactants produce different products when, different catalysts are used., For example,, i. The gaseous ethylene and O2 react to produce, different products with different catalysts., a. C2H4 (g) + O2 (g), , Pd / Al O, 2 3, , 2, , (ethylene) , , CH3CHO (g), , Ag/ Al O, 2 3, O2 (g) , , b. 2 C2H4 (g) +, (ethylene) , , (acetaldehyde), , 2CH, , O, , 2, , CH2, , (g), , (ethylene oxide), , ii. The gaseous carbon monoxide and H2, produce different products by using different, catalysts., a. CO (g) + 3 H2 (g), b. CO (g) + 2 H2 (g), , Ni, , CH4 (g) + H2O (g), , Cu/ZnO-Cr2O3, , CH3OH (g), , c. Shape selective catalysis by zeolites :, Zeolites are alumino silicates with, three-dimensional network of silicates. Some, silicon atoms in this network are replaced by, aluminium atoms giving Al-O-Si frame work., This results in microporous structure. The, reactions in zeolites are dependent on the size, and shape of reactant or products and also, on pores and cavities of zeolites. Zeolites,, therefore, are shape selective catalysts., In petroleum industry, zeolite catalyst, ZSM-5 converts alcohols directly to gasoline, (pertol) by dehydration which gives a mixture, of hydrocarbons., 11.9 Colloids : A number of substances, we use in our day to day life are colloids., For example, milk, butter, jelly, whipped, cream, mayonnaise. Colloid chemistry is the, chemistry of everyday life. Knowledge of, colloid chemistry is essential for understanding, about many useful materials like cement,, bricks, pottery, porcelain, glass, enamels; oils,, lacquers; rubber, celluloid and other plastics,, leather, paper, textiles, filaments, crayons,, inks, road construction material etc. In many, daily processes like cooking, washing, dyeing,, painting, ore floatation, water purification,, sewage, disposal,, smoke, prevention,, photography, pharmacy, use of colloids is, important., , Colloids are heterogeneous mixtures. The, component of colloid present in the largest, proportion is called dispersion medium and, the other components are called dispersed, phase. The particles of the dispersed phase are, larger than the size of a molecule and smaller, than particles which we can see with naked, eye., Observe the formation of solution of salt, and water. Salt dissolves completely in water, and forms homegeneous system. On the other, hand ground coffee or tea leaves with milk, form suspension. Between the two extremes, of solution and suspension, we observe a large, group of systems called colloidal dispersions, or simply colloids., The essential difference between a solution, and a colloid is particle size. Solutions contain, solute particles with diameter in the range, 0.1 to 2 nm, the size of typical ion or small, molecule. Solutions are transparent and may, be coloured and do not separate on standing., On the other hand, colloids such as milk,, fog contain particles of dispersed phase with, diameters in the range at 2 to 500 nm. They, are transluent to light and do not separate on, standing., 11.9.1 : Exaples of colloids : Some examples, of phenomenon observed in our daily life,, which are understood in terms of colloids are, as follows :, i. Blue colour of the sky : The sky appears, blue to us because minute dust particles along, with minute water droplets dispersed in air, scatter blue light which reaches our eyes., ii. Blood : It is a colloidal dispersion of plasma, proteins and antibodies in water. (At the same, time blood is also a suspension of blood cells, and platelets in water.), iii. Soils : Fertile soils are colloidal in nature, where humus acts as a protective colloid. Soil, adsorbs moisture and nourishing materials due, to its colloidal nature., , 166

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Table 11.4 :Types of colloids based on physical state, Dispersed, Dispersion, Type of colloid, Examples, phase, medium, solid, solid, solid sol, coloured glasses, gem stones, porcelain, paper, paints, cell fluids, gelatin, muddy water, starch, solid, liquid, sols and gels, solution., solid, gas, aerosol, smoke, dust, liquid, solid, gel, cheese, butter, jellies, liquid, liquid, emulsion, milk, hair cream, liquid, gas, aerosol, fog, mist, cloud, hair sprays, insecticide sprays., gas, solid, solid sol, pumice stone, foam rubber, plaster, gas, liquid, foam, froth, whipped cream, soap lather, Table 11.5 : Distinction between Lyophilic and Lyophobic colloids, Lyophilic colloids, Lyophobic colloids, 1. Formed easily by direct mixing., Formed only by special methods., 2. Reversible., Irreversible., 3. The particles are not easily visible even under The particles are easily detected under, ultramicroscope., ultramicroscope., 4. These are self stabilized., These are unstable and hence require traces of, stabilizers., 5. Addition of large amount of electrolytes, causes precipitation/coagulation., 6. Viscosity of dispersed phase much higher than, that of the dispersion medium., 7. Surface tension of dispersed phase is lower than, dispersion medium., , iv. Fog, mist and rain : Mist is caused, by small droplets of water dispersed in air., Fog is formed whenever there is temperature, difference between ground and air. A large, portion of air containing dust particles gets, cooled below its dew point, the moisture from, the air condenses on the surface of these, particles which form fine droplets, which are, colloid particles and float in air as fog or, mist., 11.9.2 Classification of colloids : Colloids, are classified in three different ways., a. Classification of colloids based on physical, state : Table 11.4 illustrates the types of, colloids in accordance with the physical states, of dispersed phase and dispersion medium., b. Classification of colloids based on, interaction or affinity of phases : On the, basis of interaction or affinity of phases, a, colloidal solution is classified as lyophilic and, lyophobic. If water is dispersion medium, the, , Addition of small amount of electrolytes causes, precipitation/ coagulation., Viscosity of dispersed phase is nearly the same as, the dispersion medium., Surface tension of dispersed phase is nearly the same, as the dispersion medium., , terms hydrophilic and hydrophobic are used., i. Lyophilic colloids: Lyo means liquid and, philic means loving. A colloidal solution in, which the particles of dispersed phase have, a great affinity for the dispersion medium, are lyophilic colloids. If the lyophilic sol is, evaporated, the dispersed phase separates. But, if it is remixed with the medium, the sol can be, formed again. That is why such sols are called, reversible sols. They are stable and difficult to, coagulate., ii. Lyophobic colloids: Colloidal solution, in which the particles of the dispersed phase, have no affinity for the dispersion medium, are lyophobic colloids. Phobic means fearing,, hence liquid hating. The common examples, are Ag, Au, hydroxides like Al(OH)3, Fe(OH)3,, metal sulfides. Once precipitated/coagulated, they have little tendency or no tendency to, revert back to colloidal state., , 167

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Table 11.5 shows comparison of lyophilic and, lyophobic colloids., c. Classification of colloids based on, molecular size : Colloids are classified into, three types in accordance with size of their, molecules., i. Multimolecular Colloids : The individual, particles consist of an aggregate of atoms or, small molecules with size less than 103 pm., For examples : Gold sol consists of particles, of various sizes having several gold atoms., Colloidal solution in which particles are held, together with van der Waals force of attraction, is called multimolecular colloid. For Example,, S8 sulfur molecules., ii. Macromolecular colloids : The molecules, of the dispersed phase are sufficiently large, in size (macro) to be of colloidal dimensions., Examples are starch, cellulose, proteins,, polythene, nylon, plastics., iii. Associated colloids or micelles : The, substances behave as normal electrolytes at, low concentration and associated in higher, concentration forming a colloidal solution., The associated particles are called Micelles., For example, soap, detergent. Soap molecule, , tails of soap molecules point to the centre and, the hydrophilic heads lie on the surface of the, sphere. As a result of this, soap dispersion in, water is stable., 11.9.3 Preparation of Colloids : A few, important methods for the preparation of, colloids are as follows :, a. Chemical methods : By double, decomposition, oxidation, reduction or, hydrolysis. Molecules of water insoluble, products of these reaction aggregate together, and form sols., Oxidation, , SO2 + 2H2S, 3S ↓ + 2H2O, Reduction, 2AuCl3 + 3HCHO + 3H2O, 2Au ↓ +3HCOOH, + 6HCl, Hydrolysis, FeCl3 + 3H2O, Fe(OH)3 ↓ + 3HCl, , , b. Electrical disintegration by Bredig’s Arc, method : This process involves vaporization, as well as condenstion. Colloidal sols of metals, such as gold, silver, platinum can be prepared, by this method., , Metal, Electrodes, , Hydrophilic head, H 2O, , Arc, , Hydrophobic tail, Ice, , H2O, , Water, , H2O, , Fig. 11.6 : Bredig’s arc method, , H2O, , H2O, H2O, , Fig. 11.5 : Soap micelle in water, , has a long hydrophobic hydrocarbon chain,, called tail, attached to hydrophilic ionic, group (carboxylate), called head. In water the, soap molecules arrange themselves to form, spherical particles that are called micelles., (Fig. 11.5) In each micelle the hydrophobic, , 168, , In this method, electric arc is struck, between electrodes of metal immersed in the, dispersion medium. The intense heat produced, vapourises the metal which then condenses to, form particles of colloidal sol., c. Peptization : During peptization a precipitate, is converted into colloidal sol by shaking with, dispersion medium in the presence of a small, amount of an electrolyte. The electrolyte used,, is known as peptizing agent.

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During the process, the precipitate adsorbs, one of the ions of the electrolyte on its surface,, positive or negative charge is developed on the, precipitate which finally breaks up into small, particles of colloidal size., 11.9.4 Purification of colloidal solution :, Colloidal solution generally contains excessive, amount of electrolytes and some other soluble, impurities. A small quantity of an electrolyte is, necessary for the stability of colloidal solution., A large quantity of electrolyte may result in, coagulation. It is also necessary to reduce, soluble impurities., “The process used for reducing the amount, of impurities to a requisite minimum is known, as purification of colloidal solution.”, Purification of colloidal solution can be, carried out using dialysis by the following, method., , a. General properties., i. Colloidal system is heterogeneous and, consists of two phases, dispersed phase and, dispersion medium., ii. The dispersed phase particles pass slowly, through parchment, paper or animal, membrane, but readily pass through, ordinary filter paper., iii.The particles usually are not detectable by, powerful microscope., b. Optical property:, Tyndall effect: Tyndall observed that when, light passes through true solution the path of, light through it cannot be detected., , Dialysing, membrane, Water, +, electrolyte, , Fig. 11.8 :Tyndall effect, , dispersed phase, , Water, , Dissolved electrolyte, , Fig 11.7 : Dialysis, , Dialysis : “It is a process of removing a, dissolved substance from a colloidal solution, by diffusion through a suitable membrane., The apparatus used is dialyser. A bag of, suitable membrane containing the colloidal, solution is suspended in a vessel through, which fresh water is continuously flowing. The, molecules and ions diffuse through membrane, into the outer water and pure colloidal solution, is left behind., 11.9.5 Properties of colloidal dispersions :, Various properties exhibited by colloidal, dispersions are described below., , However, if the light passes through a, colloidal dispersion, the particles scatter some, light in all directions and the path of the light, through colloidal dispersion becomes visible, to observer standing at right angles to its path., “The phenomenon of scattering of light, by colloidal particles and making path of light, visible through the dispersion is referred as, Tyndall effect”., “The bright cone of the light is called, Tyndall cone”. Tyndall effect is observed only, when the following conditions are satisfied., i. The diameter of the dispersed particles is, not much smaller than the wavelength of, light used., ii. The refractive indices of dispersed phase, and dispersion medium differ largely., Importance of Tyndall effect:, i. It is useful in determining number of, particles in colloidal system and the particle, size therein., , 169

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ii. It is used to distinguish between colloidal, dispersion and true solution., c. Colour :, i Colour of colloidal solution depends on the, wavelength of light scattered by dispersed, particles., The colour of colloidal dispersion also, changes with the manner in which the, observer receives the light. For example:, Mixture of a few drops of milk and large, amount of water appears blue when, viewed by the scattered light and red when, viewed by transmitted light. (Refer to 7th, std science book of Balbharati.), ii. It also depends on size of colloidol particles, For example, finest gold sol is red in colour, whereas with increase in size it appears, purple., d. Kinetic Property :, The colloidal or, microscopic particles undergo ceaseless, random zig-zag motion in all directions in a, fluid. This motion of dispersed phase particles, is called Brownian motion. British botanist,, Robert Brown, observed such motion of, pollen grains under a microscope. The random, motion was explained by Albert Einstein in, 1905., , positive or negative. Some common sols with, the nature of charge on the particles are listed, in Table 11.6., Table 11.6 : Charge on dispersed particles, Positively charged sols Negatively charged, sols, Metals, Cu, Ag,, 1. Hydrated metallic, oxides Al2O3. xH2O, Au Sols metallic, sulphides As2S3,, CrO3 . xH2O,, Fe2O3. xH2O., Sb2S3, Cds, 2. Basic dye stuff,, methylene blue sols, 3. Haemoglobin (blood), , Acid dye stuff, eosin,, congo red sol, Sols of starch, gum, , 4. Oxides : TiO2 sol, , Gelatin, clay, gum, sols, , ii. Electrophoresis : Electrophoresis set up is, shown in Fig. 11.10., Reservoir, Anode, , ⊕ Cathode, deposited, particles, Colloidal, solution, , Stop cock, , Fig. 11.10 : Electrophoresis, , Fig. 11.9 : Brownian motion, , Cause of Brownian motion :, i. Constant collision of particles of dispersed, phase with the fast moving molecules of, dispersion medium (fluid)., ii. Due to this, the dispersed phase particles, acquire kinetic energy from the molecules of, the dispersion medium. This kinetic energy, brings forth Brownian motion., e. Electrical Properties :, i. Charge on colloidal particles: Colloidal, particles carry an electric charge. The nature, of this charge is the same on all particles for, a given colloidal solution which can be either, , Figure shows U tube set up in which two, platinum electrodes are dipped in a collodial, solution. When electric potential is applied, across two electrodes, collodial particles move, towards one or other electrode., “The movement of colloidal particles, under an applied electric potential is called, electrophoresis.”, Positively charged particles move towards, cathode while negatively charged particles, migrate to anode and get deposited on the, respective electrode., iii. Electroosmosis : Movement of dispersed, particles can be prevented by suitable means,, such as use of membrane. Then it is observed, that the dispersion medium begins to move in an, electric field. This is termed as electroosmosis., , 170

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Applications of electrophoresis:, i. On the basis of direction of movement of, the colloidal particles under the influence of, electric field, it is possible to know the sign of, charge on the particles., ii. It is also used to measure the rate of, migration of sol particles., iii. Mixture of colloidal paticles can be, separated by electrophoresis since different, colloidal particles in mixture migrate with, different rates., f. Coagulation: ‘The precipitation of colloids, by removal of charge associated with colloidal, particles is called coagulation.’, The charge on the colloidal particles is, due to the preferential adsorption of ions on, their surface. For precipitation of lyophobic, colloids removal of charge is required. A, situation with lyophilic colloids is a little, different. The lyophilic particles first attract, the molecules of dispersion medium and form, a layer of medium surrounding the particles,, which may adsorb the ions. Hence for the, precipitation of lyophilic colloids, removal of, charge on layer of medium is necessary., 11.9.6 Methods to effect coagulation : A, coagulation of the lyophobic sols can be, carried out in the following ways., i. By electrophoresis : The colloidal particles, move towards oppositely charged electrodes,, get discharged and precipitate., ii. By mixing two oppositely charged sols :, Oppositely charged sols when mixed in almost, equal proportions neutralize their charges and, get precipitated., Example - Mixing of hydrated ferric oxide, (positive sol) and arsenious sulfide (negative, sol) brings them in the precipitated forms., This type of coagulation is called mutual, coagulation., iii. By boiling : When a sol is boiled, the, adsorbed layer is disturbed as a result of, increased collisions with molecules in, dispersion medium. This reduces charge on the, particles and subsequently settling down as a, precipitate., , iv. By persistent dialysis: On prolonged, dialysis, traces of the electrolyte present in, the sol are removed almost completely. The, colloids then become unstable and finally, precipitate., v. By addition of electrolytes : When excess of, an electroylte is added, the colloidal particles, are precipitated., Hardy-Schulze rule : Generally, the greater, the valence of the flocculating ion added, the, greater is its power to cause precipitation., This is known as Hardy - Schulze rule. In the, coagulation of negative sol, the flocculating, power follows the order: Al⊕3 > Ba⊕2 > Na⊕, Similarly, coagulation of positive sol,, reveal : [ Fe (CN)6 ]4 > PO43 > SO42 > Cl, 11.9.7 Emulsions : A colloidal system in which, one liquid is dispersed in another immiscible, liquid is called an emulsion. There are liquidliquid colloidal system in which both liquids, are completely or partially immiscible., Types of emulsions :, , Oil in water, , Water in oil, , Fig. 11.11 : Emulsions, , There are two types of emulsions (Fig. 11.15)., i. Emulsion of oil in water (o/w type) : An, emulsion in which dispersed phase is oil and, dispersion medium is water is called emulsion, of oil in water. For example : milk, vanishing, cream, paint etc. Milk consists of particles of, fat dispersed in water., ii. Emulsion of water in oil (w/o type): An, emulsion in which dispersed phase is water and, dispersion medium is oil is called emulsion of, water in oil. For example, codliver oil consists, of particles of water dispersed in oil. Some, other examples of this type include butter,, cream, etc., , 171

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Table 11.7 describes difference between the, two types of emulsion., , smoke particles they lose their charge and, get precipitated., , Table 11.7 : Distinction between oil in water, and water in oil emulsions, , The particles settle down on the floor of the, chamber. The precipitator is called Cottrell, precipitator., , Oil in water, 1. Oil is the dispersed, phase and water, is the dispersion, medium., 2. If water is added,, it will be miscible, with the emulsion., 3. An addition of, small, amount, of an electrolyte, makes the emulsion, conducting., 4. Water is continuous, phase., 5. Basic metal sulfates,, water, soluble, alkali, metal, soaps are used as, emulsifiers., , Water in oil, Water is dispersed phase, and oil is the dispersion, medium., , ii. Purification of drinking water: Water, obtained from natural sources contains, colloidal impurities. By addition of alum, to such water, colloidal impurities get, coagulated and settled down. This makes, water potable., , If oil is added, it will, be miscible with the, emulsion., Addition, of, small, amount of an electrolyte, has no effect on, conducting power., , iii. Medicines: Usually medicines are colloidal, in nature. Colloidal medicines are more, effective owing to large surface area to, volume ratio of a colloidal particle, and, easy assimilation., , Oil is continuous phase., , Argyrol is a silver sol used as an eye lotion., Milk of magnesia, an emulsion is used in, stomach disorders., , Water insoluble soaps, such as those of Zn,, Al, Fe, alkaline earth, metals are used as, emulsifiers., , iv. Rubber Industry: - Rubber is obtained by, coagulation of latex., v. Cleansing action of soaps and detergents, , Properties of Emulsion :, 1. Emulsion can be diluted with any amount of, the dispersion medium. On the other hand,, the dispersed liquid when mixed forms a, separate layer., , vi. Photographic plates, films, and industrial, products like paints, inks, synthetic plastics,, rubber, graphite lubricants, cement etc. are, colloids., Internet my friend, , 2. The droplets in emulsions are often, negatively charged and can be precipitated, by electrolytes., , 1. Brownian motion, https://myoutube.com>watch, 2. Collect information about Surface, Chemstry., 3. Collect information about Adsorption., 4. Collect information about Brownian, Motion, , 3. Emulsions show Brownian movement and, Tyndall effect., 4. The two liquids in emulsions can be separated, by heating, freezing or centrifuging etc., 11.9.8 Applications of colloids : Colloids, find appplications in industry and in daily life., Following are some examples., i. Electrical precipitation of smoke : Smoke, is colloidal solution of solid particles of, carbon, arsenic compound, dust etc. in air., When smoke is allowed to pass through, chamber containing plates having charged, , Activity :, Calculate surface area to volume ratio of, spherical particle. See how the ratio increases, with the raduction of radius of the particle., Plot the ratio against the radius., , 172

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Exercises, 1., , 2., , 3., , Choose the correct option., A. The size of colloidal particles lies, betweena. 10-10 m and 10-9 m, b. 10-9 m and 10-6 m, c. 10-6 m and 10-4 m, d. 10-5 m and 10-2m, B. Gum in water is an example of, a. true solution, b. suspension, c. lyophilic sol, d. lyophobic sol, C. In Haber process of production of, ammonia K2O is used as, a. catalyst, b. inhibitor, c. promotor, d. adsorbate, D. Fruit Jam is an example of a. sol, b. gel, c. emulsion, d. true solution, Answer in one sentence :, A. Name type of adsorption in which, vander Waals focres are present., B. Name type of adsorption in which, compound is formed., C. Write an equation for Freundlich, adsorption isotherm., Answer the following questions:, A. Define the terms:, a. Inhibition, b. Electrophoresis, c. Catalysis., B. Define adsorption. Why students can, read black board written by chalks?, C. Write characteristics of adsorption., D. Distinguish between Lyophobic and, Lyophilic sols., E. Identify dispersed phase and dispersion, medium in the following colloidal, dispersions., a. milk , b. blood, c. printing ink , d. fog, F. Write notes on :, a. Tyndall effect, b. Brownian motion, c. Types of emulsion, d. Hardy-Schulze rule, , 4., , 5., , 6., 7., , 8., 9., 10., , G. Explain Electrophoresis in brief with, the help of diagram. What are its, applications ?, H. Explain why finely divided substance, is more effective as adsorbent?, I. What is the adsorption Isotherm?, J. Aqueous solution of raw sugar, when, passed over beds of animal charcoal,, becomes colourless. Explain., K. What happens when a beam of light, is passed through a colloidal sol?, L. Mention factors affecting adsorption, of gas on solids., M. Give four uses of adsorption., N. Explain Bredig's arc method., O. Explain the term emulsions and types, of emulsions., Explain the following :, A. A finely divided substance is more, effective as adsorbent., B. Freundlich adsorption isotherm, with, the help of a graph., Distinguish between the following :, A. Adsorption and absorption. Give one, example., B. Physisorption and chemisorption., Give one example., Adsorption is surface phenomenon., Explain., Explain how the adsorption of gas on, solid varies with, a. nature of adsorbate and adsorbent, b. surface area of adsorbent, Explain two applications of adsorption., Explain micelle formation in soap, solution., Draw labelled diagrams of the following :, a. Tyndall effect, b. Dialysis, c. Bredig's arc method, d. Soap micelle, , Activity :, Collect the information about methods to, study surface chemistry., , 173

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12. Chemical Equilibrium, Can you recall?, Co(H2O)62⊕(aq) + 4Cl (aq), , What are the types of the following, changes? Natural waterfall, spreading, of smoke from burning inscence stick,, diffusion of fragrance of flowers. Can the, above changes take place in the opposite, direction ?, , (Pink), , (Blue), , Can you tell?, , 12.1.1 Reversible reaction, In the above activity, the change in colour, of the solution is caused by the chemical, reaction which reverses its direction with, change of temperature., , Dissolve 4 g cobalt chloride in 40 ml, water. It forms a redish pink solution. Add, 60 ml concentrated HC1 to this. It will turn, violet. Take 5 ml of this solution in a test, tube and place it in a beaker containing, ice water mixture. The colour of solution, will become pink. Place the same test tube, in a beaker containing water at 900 C. The, colour of the solution turns blue., Heat, Cool, , Co(H2O)62⊕, Test tube in cold water, , CoCl42, Test tube in hot water, , Cool, , CoCl42 (aq)+6H2O(l), , 12.1 Introduction : You have learnt earlier, that changes can be physical or chemical and, reversible or irreversible. All the changes listed, above are irreversible physical changes. You, have also learnt earlier that chemical changes, can be represented by chemical reactions when, the exact chemical composition of reactants, and products is known. In this chapter we are, going to look at reversible chemical reactions., , Try this, , Heat, , What does violet colour of the solution, in above indicate ?, The reaction in the above activity is an, example of a reversible reaction. There are, many chemical reactions which appear to, proceed in a single direction. For example:, CO2 (g), C(s)+O2(g) ∆, ∆, 2KClO3 (s), 2KCl (s) + 3O2(g), These are called irreversible reactions. They, proceed only in single direction until one of, the reactants is exhausted. Their direction is, indicated by an arrow (, ) pointing towards, the products in the chemical equation. On the, contrary, reversible reactions proceed in both, directions. The direction from reactants to, products is the forward reaction, whereas the, opposite reaction from products to reactants, is called the reverse or backward reaction., A reversible reaction is denoted by drawing, two arrows, such that one arrow points in, the forward direction and other in the reverse, direction (, or, ). These two arrows are, also referred to as double arrow., For example :, H2(g) + I2(g), 2 HI (g), CH3COOH (aq) + H2O (l), CH3COO (aq), + H3O⊕, Consider an example of decomposition of, calcium carbonate. Calcium carbonate when, heated strongly, decomposes to form calcium, oxide and carbon dioxide. Let us consider, what happens if this reaction is carried out in, a closed container/system or open container/, system., , 174

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Reactions are chemically represented as, follows, General representation :, CaCO3 (s) heat CaO(s)+ CO2 (g), represents the irreversible reaction in an open, container. On the other hand the reversible, reaction in closed container is represented as, , Remember, In a closed system, there is no, exchange of matter with the surroundings, but exchange of heat can occur. In an open, system, exchange of both matter and heat, occurs with the surroundings. An isolated, system does not exchange heat nor matter, with surroundings., , CaCO3 (s), , If we perform the above reaction at high, temperature in a closed system, we find that, after certain time, we have some calcium, carbonate present along with calcium oxide, and carbon dioxide. If we continue the, experiment over a longer period of time at the, same temperature, we find the concentrations, of calcium carbonate, calcium oxide and, carbon dioxide are unchanged. The reaction, thus appears to have stopped and we say the, system has attained the equilibrium. Actually,, the reaction does not stop but proceeds in both, the directions with equal rates. In other words, calcium carbonate decomposes to give calcium, oxide and carbon dioxide at a particular rate., Exactly at the same rate the calcium oxide and, carbon dioxide recombine and form calcium, carbonate., Such reactions which do not go to, completion and occur in both the directions, simultaneously are reversible reactions., A reversible reaction may be represented in, general terms as :, A+B, reactants, , forward, , backward, , forward, , backward, , CaO(s) + CO2(g), , Do you know ?, Calcium oxide is also known as, quicklime or lime. When heated strongly, it glows bright white. In old times this was, used in theatre lighting, which gave rise to, the phrase 'in the limelight'., Internet my friend, Find out the information :, 1. Equilibrium existing in the formation, oxyhaemoglobin in human body., 2. Refrigeration system in equilibrium., 12.2 Equilibrium in physical processes, (a) Liquid - Vapour equilibrium, Let us now look at a reversible physical, process of evaporation of liquid water into, water vapour in a closed vessel (see Fig. 12.1)., , C+D, products, , The double arrow indicates that the, reaction is reversible., Consider the reaction of decomposition, of calcium carbonate occuring in an open, system or container. It is seen that during, decomposition of calcium carbonate in an, open vessel, carbon dioxide can escape away., Hence calcium carbonate cannot be obtained, back., Such a reaction is irreversible reaction, which occurs only in one direction, namely,, from reactants to products., , Fig. 12.1 : Water in a closed flask, , Initially there is practically no vapour in, the vessel. When a liquid evaporates in a closed, container, the liquid molecules escape from the, liquid surface into vapour phase building up, vapour pressure. They also condense back into, liquid state because the container is closed. In, the beginning the rate of evaporation is high, and the rate of condensation is low. But with, time, as more and more vapour is formed, the, rate of evaporation goes down and the rate, , 175

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of condensation increases. Eventually the, two rates become equal. This gives rise to a, constant vapour pressure. This state is known, as an ‘equilibrium state’. In this state, the, number of molecules leaving the liquid surface, equals the number of molecules returning to, the liquid from the vapour state. Across the, interface, there is a lot of activity between, the liquid and the vapour. This state, when, the rate of evaporation is equal to the rate of, condensation is called equilibrium state. It, may be represented as :, H2O(l), H2O (vapour), At equilibrium, the pressure exerted by the, gaseous water molecules at a given temperature, remains constant, known as the equilibrium, vapour pressure of water (or saturated vapour, pressure of water or aqueous tension). The, saturated vapour pressure increases with, increase of temperature. In the case of water,, the saturated vapour pressure is 1.013 bar, (1atm) at 100 0C. Therefore, water boils at, 100 0C when exposed to 1 atm pressure. For any, pure liquid at 1 atm pressure the temperature, at which its saturated vapour pressure equals, to atmospheric pressure is called the normal, boiling point of that liquid. The boiling point of, water is 100° C at 1.013 bar pressure, whereas, the boiling point of ethyl alcohol is 78 0C., (b) Solid - liquid equilibrium, Consider a mixture of ice and water in, a perfectly insulated thermos flask at 273 K., This is an isolated system. It is an example of, solid-liquid equilibrium. Ice and water are at, constant temperature. They remain in what is, called solid-liquid equilibrium., (c) Solid - vapour equilibrium :, Try this, 1. Place some iodine crystals in a closed vessel., Observe the change in colour intensity in it., After some time the vessel gets filled up, with violet coloured vapour., , The intensity of violet colour becomes, stable after certain time., What do you see in the flask (see Fig. 12.2)?, , Fig. 12.2 Solid iodine in equilibrium, with its vapour, , We see both, that is, solid iodine and, iodine vapour in the closed vessel. It means, solid iodine sublimes to give iodine vapour, and the iodine vapour condenses to form, solid iodine. The stable intensity of the colour, indicates a state of equilibrium between solid, and vapour iodine. We can write the same as, follows:, I2 (s), , sublimation, , condensation, , I2(g), , Other examples showing this kind of, equilibrium are :, Camphor (g), 1. Camphor (s), 2. Ammonium chloride (s), Ammonium chloride (g)., Try this, i. Dissolve a given amount of sugar in, minimum amount of water at room, temperature, ii. Increase the temperature and dissolve more, amount of sugar in the same amout of water, to make a thick sugar syrup solution., iii. Cool the syrup to the room temperature., Note the observation : Sugar crystals separate, out., In a saturated solution there exists dynamic, equilibrium between the solute molecules in, the solid state and in dissolved state., Sugar (s), Sugar (aq), The rate of dissolution of sugar, = The rate of crystallization of sugar, , 176

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Remember, A saturated solution is the solution when, additional solute can not be dissolved in it, at the given temperature. The concentration, of solute in a saturated solution depends on, temperature., 12.3 Equilibrium in chemical process :, If a reaction takes place in a closed, system so that the products and reactants, cannot escape, we often find that reaction does, not give a 100 % yield of products. Instead, some reactants remain after the concentrations, stop changing. When there is no further, change in concentration of reactant and, product, we say that the reaction has, attained equilibrium, with the rates of, forward and reverse reactions being equal., Chemical equilibrium at a given temperature, is characterized by constancy of measurable, properties such as pressure, concentration,, density etc. Chemical equilibrium can be, approached from either side., Observe and Discuss, I. Colourless N2O4 taken in a closed flask is, converted to NO2 (a reddish brown gas) (See, Fig. 12.3), N2O4(g), 2NO2(g), colourless , , reddish brown, , products and the products react to give back, reactants., As soon as the forward reaction produces, any NO2, the reverse reaction begins and, NO2 starts combining back to form NO2. At, equilibrium, the concentrations of N2O4 and, NO2 remain unchanged and do not vary with, time, because the rate of formation of N2O4 is, equal to the rate of formation of NO2 as shown, in Fig. 12.4. b., II. Consider the following dissociation reaction, 2HI(g), H2(g) + I2(g), (Colourless gas), , The reaction is carried out in a closed vessel, starting with hydrogen iodide. The following, observations are noted :, 1. At first, there is an increase in the itensity of, violet colour., 2. After certain time the increase in the intensity, of violet colour stops., 3. When contents in the closed vessel are, analysed at this stage, it is observed, that reaction mixture contains hydrogen, iodide, hydrogen and iodine with their, concentrations remaining constant over, time., The rate of decomposition of HI becomes, equal to the rate of combination of H2 and I2., At equilibrium, no net change is observed and, both reactions continue to occur., Let us now see what happens if we start, with hydrogen and iodine vapour in a closed, container at a certain temperature., H2(g) + I2(g), , Figure 12.3 : N2O4 conversion to NO2, , The colour becomes light brown, indicating the presence of NO2 in the mixture., The formation of NO2 from N2O4 is reversible., In such reaction the reactants react to form the, , (Violet coloured gas), , 2HI(g), , 1. At first, the violet colour if I2 is deep., 2. The intensity of violet colour starts, decreasing., 3. After certain time the decrease in the, intensity of colour stops., 4. Analysis of the reaction mixture at this stage, shows that it contains HI, H2 and I2 with, their concentrains remaining constant over, time. In other words, the same equilibrium, can be attained by starting from any side., , 177

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Concentration, , NO2, N2O4, Equilibium, achieved, 0, , Time, Fig. 12.4 (a) : Graph of forward and reverse, reaction rates versus time for conversion of, N2O4 to NO2, , Rate, , kf[N2O4], , Equilibium, achieved, (rates are equal), , kf[NO2]2, 0, , Time, , Fig. 12.4 (b) : Changes in reaction rates during, a reversible reaction attaining a chemical, equilibrium. (Forward rate represented by, upper curve in blue and reverse reaction rate, lower curve in yellow), , Remember, For any reversible reaction in a closed, system the rate of forward reaction is high, in the beginning, while the rate of reverse, reaction is very slow. As the forward, reaction proceeds and products accumulate,, rate of forward reaction slows down while, rate of reverse reaction increases. Finally, the rates become equal and equilibrium is, established., 12.4 Law of mass action and equilibrium, constant : The chemical equilibrium is, mathematically described in terms of what, is called the equilibrium constant (KC)., We noted earlier that an equilibrium state, is attained when the rate of the forward and, reverse reactions become equal (refer Fig., , 12.4)., 12.4.1 Rate of chemical reaction : As any, reaction proceeds the concentration of the, reactants decreases and the concentration of, the products increases. The rate of reaction, thus can be determined by measuring the, extent to which the concentration of a reactant, decreases in the given time interval, or extent to, which the concentration of a product increases, in the given time interval. Mathematically, the, rate of reaction is expressed as:, d[Reactant], d[Product], =, Rate = dT, dT, Where d[reactant] and d[product] are the small, change in concentration during the small time, interval dT., 12.4.2 Law of mass action : The law of mass, action states that the rate of a chemical, reaction at each instant is proportional to, the product of concentration terms of all, the reactants. In case the balanced chemical, equation shows more molecules of reactants,, the concentration is raised to a power equal, to the number of molecules of that reactant. A, rate equation can be written for a reaction by, applying the law of mass action as follows :, C, Consider a reaction A+B, Here A and B are the reactants and C is, the product. The concentrations of chemical, species are expressed in mol L-1 and denoted, by putting the formula in square brackets. By, applying the law of mass action to this reaction, we write a proportionality expression as :, Rate α [A] [B], This proportionality expression is, transformed into an equation by introducing a, proportionality constant, k, as follows:, Rate = k [A] [B], ….(12.1), The Eq. (12.1) is called the rate equation, and the proportionality constant, k, is called, the rate constant of the reaction., , 178

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KC is called the equilibrium constant., The equilibrium constant depends on, the form of the balanced chemical equation., Consider reversible reaction :, , Problem 12.1 : Write the rate equation for, the following reaction:, i. C+O2, CO2, ii. 2KClO3, 2KCl + 3O2, Solution : the rate equation is written by, applying the law of mass action., i. The reactants are C and O2, Rate α [C] [O2], ∴Rate = k [C] [O2], ii. The reactant is KClO3 and its 2 molecules, appear in the balanced equation., ∴ Rate α [KClO3]2, ∴ Rate = k [KClO3]2, , aA + bB, , [C]c[D]d, The equilibrium constant KC = [A]a[B]b, , cC + dD, , [A]a[B]b, 1, K C = [C]c[D]d =, KC, , (12.2), (12.3), , At equilibrium, the rates of forward and, reverse reactions are equal. Thus,, Rate forward = Rate reverse, ∴ kf [A] [B] = kr [C] [D], k, [C][D], ∴ kf = KC= [A][B], r, , (12.4), , Remember, At equilibrium the ratio of product, multiplicative term denoting the ratio of, concentraton of products to that of the reactants, is unchanged and equals KC. The value of KC, depends upon the temperature. It is interesting, to note that though the concentration ratio, remains unchanged, both the forward as well, as reverse reactions do proceed at equilibrium,, but at the same rate. Therefore the chemical, equilibrium is a dynamic equilibrium., , aA + bB,, , 1, , Rate reverse α [C] [D], ∴ Rate reverse = kr [C] [D], , (12.5), , If the equilibrium is written as, , 12.4.3 Equilibrium constant : Consider, a, hypothetical, reversible, reaction, A+B, C+D. As we have noted earlier,, two reactions, namely forward and reverse, reactions occur simultaneously in a reversible, chemical reaction. We, therefore, write rate, equations for the forward and reverse reactions:, Rate forward α [A][B], ∴ Rate forward = kf [A] [B], , cC + dD, , Thus equilibrium constant of the reverse, chemical reaction is K1C, is the reciprocal of, the equilibrium constant KC of the forward, reaction., Let us consider the equilibrium that occurs, in the Haber process for synthesis of ammonia:, N2(g) + 3H2(g), , 2NH3(g), coefficient of NH3, coefficient of H2, , [NH3]2, [N2][H2]3, , KC =, , and for the equilibrium reaction written as, 2NH3(g), K1C =, , N2(g) + 3H2(g),, , [N2][H2]3, [NH3]2, , 12.4.3 Equilibrium constant with respect, to partial pressure (KP) : For reactions, involving gases, it is convenient to express, the equilibrium constant in terms of partial, pressure., \ For the reaction,, , aA(g) + bB(g), , cC(g) + dD(g),, , the equilibrium constant can be expressed, using partial pressures (Kp) as given by, KP =, , (PC ) c (PD ) d, (PA ) c (PB ) d, , (12.6), , where PA, PB, PC and PD are equilibrium partial, pressures of A, B, C and D, respectively., , 179

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where Dn = (number of moles of gaseous, products) - (number of moles of gaseous, reactants) in balanced chemical equation., R = 8.314 L Pa m3 K-1mol-1, While calculating the value of Kp,, pressure should be expressed in bar, because, standard pressure is 1 bar., [ 1 pascal (Pa) = 1 Nm-2 and 1 bar = 105 Pa], , Can you recall?, , Ideal gas equation with significance, of each term involved in it (refer to Chapter, 10, section 10.5.5)., PV = nRT, where P is pressure in pascal, n is number of moles of gas, V is volume in dm3 or L, R is molar gas constant in Pa m3 K-1 mol-1, T is absolute temperature, 12.4.4 Relationship between partial pressure, and concentration :, For a mixture of ideal gases, the partial, pressure of each component is directly, proportional to its concentration at constant, temperature., For component A,, PAV = nART, , nA, is molar concentration of A in mol dm-3, V nA, n, PA =, x RT,, where A = [A], V, V, ∴ P = [A]RT, , Problem 12.2 :, 2NH3(g), N2(g) + 3H2(g), Write expression for KP in terms of Kc., Solution : KP =, , (PNH 3 ) 2, , (PN 2 )(PH 2 )3, , [NH3(g)]2[RT]2, \ KP = [N (g)]RT.[H (g)] 3 [RT]3, 2, 2, , \ KP =, , [RT]2, [NH3(g)]2, x, [RT] [RT]3, [N2(g)][H2(g)]3, , \ KP = KC x RT(2 - 4), \ KP = KC x RT-2, , A, , Similarly for components B, C and D the, partial pressures are, PB = [B]RT, PC = [C]RT, PD = [D]RT, 12.4.5 Relationship between KP and KC, Consider a general reversible reaction:, cC(g) + dD(g), aA(g) + bB(g), Now substituting expressions for PA, PB,, PC, PD in Eq. (12.6), [PC]c [PD]d [C]c (RT)c [D]d (RT)d, KP =, =, [PA]a[PB]b [A]a (RT)a [B]b(RT)b, [C]C [D]d (RT)c +d, KP = [A]a [B]b(RT)a +b, [C]c [D]d, \ KP =, x (RT)(c+d)-(a+b), [A]a [B]b, [C]C [D]d, \ KP =, x (RT)Dn, [A]a [B]b, [C]c[D]d, But KC = [A]a[B]b from equation (12.5), \ KP = KC (RT)Dn ,, (12.7), , Problem 12.3 : Write an expression for, KP and relate it to Kc for the following, reversible reaction., H2(g) + I2(g), 2HI(g),, Solution : KP =, , (PHI ) 2, (PH2 )(PI2 ), , [HI(g)]2[RT]2, \ KP =, [H2(g)]RT.[I2(g)]RT, \ KP =, , [HI(g)]2, [H2(g)][I2(g)], , [RT]2, x [RT] [RT], , \ KP = KC x RT2 - (1+1), \ KP = KC, 12.5 Homogeneous and Heterogenous, equilibria, 12.5.1, Homogeneous, reactions, and, Heterogeneous reactions : In a homogeneous, reaction all the reactants are in the same, phase. For example is a homogeneous gas, phase reaction., , 180

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At any given temperature density of liquid is, constant irrespective of the amount of liquid,, and, therefore, the term in the denominator is, constant. [C2H5OH(l)] = constant., , 2HI (g), H2 (g) + I2 (g), Reversible reaction involving reactants and, products those are in different phases is called, heterogeneous reaction., NH3 (g) + Cl2 (g), NH4Cl (s), , Therefore, the modified equilibrium constant, for evaporation of ethanol will be, K1C = KC x constant = [C2H5OH(g)], , Equilibria, involving, homogeneous, or heterogeneous reactions are called, homogeneous and heterogeneous equilibria, respectively., , For the equilibrium of sublimation of iodine, I2(s), I2(g) the modified equilibrium, constant K1C = [I2(g)]., , 12.5.2, Equilibrium, constant, for, heterogeneous equilibria : As stated earlier,, equilibrium having more than one phase, is called heterogeneous equilibrium. For, example, if ethanol is placed in a conical flask,, liquid - vapour equilibrium is established., C2H5OH(l), , Concentrations of pure solids do not change, and thus expressions for equilibria including, solids are simplified., Remember, While writing an equilibrium constant, expression for heterogeneous reactions use, only the concentrations of gases (g) and, dissolved substances (aq)., , C2H5OH(g), , For a given temperature, KC =, , [C 2 H 5 OH(g)], [C 2 H 5 OH(l )], , 12.5.3 Units of equilibrium constant, The unit of equilibrium constant depends upon the expression of KC which is different for different, equilibria. Therefore, the unit of KC is also different., To calculate units of equilibrium constant, Equilibrium Reaction (I), Equilibrium Reaction (II), H2 (g) + I2 (g), 2HI (g), 2NH3(g), N2 (g) + 3H2 (g), [NH3(g)]2, [HI(g)]2, ..... (I), KC =, ..... (II), KC =, [N2(g)] [H2(g)]3, [H2(g)] [I2(g)], [mol dm-3]2, [mol dm-3]2, =, Unit, of, K, C, Unit of KC =, [mol dm-3] [mol dm-3] 3, [mol dm-3] [mol dm-3], -3 2, [mol dm-3]2, =, = [mol dm ], [mol dm-3]4, [mol dm-3]2, = [mol dm-3]-2, = mol-2 dm6, , As all the units cancel out For (I), KC has no, units, Hint : To calculate units of KC find out the, difference between the number of moles in, the numerator and the number of moles in the, denominator in the expression for equilibrium, constant., The unit of Kc is (mol dm-3)Dn., , With reference to expression (II) above,, difference between number of moles =, Dn = 2- (1+3), \ Dn = 2 - 4, \ Dn = - 2, , 181

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\ unit of KC = (mol dm-3)Dn, \ unit of KC = (mol dm-3)-2, \ unit of KC = mol-2dm6, Similarly with reference to expression (I) \ unit, of KC = (mol dm-3) Dn = (mol dm-3)0, ∴ KC has no unit., Problem 12.4 : Write the equilibrium, constant expression for the decomposition, of baking soda. Deduce the unit of KC from, the above expression., Solution :, 2NaHCO3 (s), Na2CO3 (s) + CO2 (g), + H2O (g), KC =, , The ratio is called reaction quotient, QC,, when the concentrations are not necessarily, equilibrium concentrations., [C]c [D]d, QC =, ,, [A]a [B]b, The reaction quotient has same form, as that of equilibrium constant, but involves, concentrations that are not necessarily, equilibrium concentrations. Comparison of, QC and KC is very useful to decide whether, the forward or the reverse reaction should, occur to establish the equilibrium. It is shown, diagramatically in Fig. 12.4., t, , [Na2CO3 (s)][CO2 (g)][H2O (g)], [NaHCO3 (s)]2, , KC, QC, , \KC = [CO2 (g)][H2O (g)], \Unit of KC = (mol dm-3)2 = mol2 dm-6, 12.6 Characteristics of equilibrium constant, 1. The value of equilibrium constant is, independent of initial concentrations of, either the reactants or products., 2. Equilibrium constant is temperature, dependent. Hence KC, KP change with, change in temperature., 3. Equilibrium constant has a characteristic, value for a particular reversible reaction, represented by a balanced equation at the, given temperature., 4. Higher value of KC or KP means more product, is formed and the equilibrium point is more, towards right hand side and vice versa., 12.7 Application of equilibrium constant, Some applications of equilibrium constant are, discussed below., 12.7.1 Prediction of the direction of the, reaction : For the reversible reaction,, aA + bB, cC + dD,, the equilibrium constant is, [C]c [D]d, ,, KC =, [A]a [B]b, where all concentrations are equilibrium, concentrations., , 182, , Reactants, , ent, vem, Mo ward m, to briu, ili, equ, , Products, , QC KC, , en, vem, Mo ward m QC, to briu, ili, equ, , Reactants andProducts, are at equilibrium., , KC, , Reactants, , Products, , Fig. 12.4 : Predicting direction of reaction, , If QC < KC, the reaction will proceed from, left to right, in forward direction, generating, more product to attain the equilibrium., If QC = KC the reaction is at equilibrium, and hence no net reaction occurs., If QC > KC, the reaction will proceed from, right to left, requiring more reactants to attain, equilibrium., A comparison of QC with KC indicates the, direction in which net reaction proceeds as the, system tends to attain the equilibrium., Note : The prediction of the direction of the, reaction on the basis of QC and KC values, makes no comment on the time required for, attaining the equilibrium., 12.7.2 : To know the extent of reaction :, Let us recall an expression for equilibrium, constant KC. (See Fig. 12.5). It indicates that, the magnitude of KC is, i. directly proportional to the equilibrium, concentrations of the product., ii. inversely proportional to the equilibrium, concentrations of the reactants.

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The larger the value of the equilibrium constant, KC, the farther the reaction proceeds to the right, before reaching the equilibrium state :, KC, , Very, small, 10 -3, Reaction proceeds, hardly at all, , Very, large, , 1, , 10 3, , Appreciable concentration of, both reactants and procducts are, present at equilibrium., , Reaction proceeds, nearly to completion, , Fig 12.5 : Extent of reaction, , Consider, for example, the following two reversible reactions :, 2H2(g) + O2(g), 2H2O(g), 2H2O(g), , [H2(g)]2[O2 (g)], [H2O(g)]2, 1, 1, KC =, = 2.4 x 1047, KC, -48, KC = 4.1 x 10 = 0.41 x 10-47 at 500 K, , Equilibrium constant values, KC =, , 2H2(g) + O2(g), , KC =, , [H2O(g)]2, [H2(g)]2[O2 (g)], , KC = 2.4 x 1047 At 500 K, 1. Value of KC is very high (KC > 103)., , 1. Value of KC is very low (KC < 10-3)., , 2. At equilibrium there is a high proportion of, products compared to reactants., 3. Forward reaction is favoured., 4. Reaction is in favour of products and nearly, goes to completion., KC >>>1. Reaction proceeds almost totally, towards products., , 2. At equilibrium, only a small fraction of the, reactants are converted into products., 3. Reverse reaction is favoured., 4. Reaction is in favour of reactants., KC <<< 1. Rection hardly proceeds towards the, products., The equilibrium constant is 4.0 at a certain, temperature., , Can you tell?, Comment on the extent to which the, forward reaction will proceed, from the, magnitude of the equilibrium constant for, the following reactions :, 1. H2(g) + I2(g), 2HI(g), KC = 20 at, 550 K, 2. H2(g) + Cl2(g), 2HCl(g), KC = 1018, at 550 K, , Use your brain power, The value of KC for the dissociation reaction, H2(g), 2H(g) is 1.2 x 10-42 at 500 K, Does the equilibrium mixture contain mainly, hydrogen molecules or hydrogen atoms ?, , 12.7.3, To, calculate, equilibrium, concentrations : The equilibrium constant, can be used to calculate the composition of an, equilibrium mixture., Consider an equilibrium reaction,, CH3COOH(aq) + C2H5OH(aq), (ethanolic acid) (ethanol), CH3COOC2H5 (aq) + H2O(aq), (ethyl ethanoate), , If we start with 2.0 mol of ethanoic, acid and 2.0 mol of ethanol in 'V' litres. Let, us find out the composition of equilibrium, mixture. Consider x mol of ethyl ethanoate at, equilibrium., , 183, , Internet my friend, Collect information about, Chemical Equilibrium.

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CH3COOH + C2H5OH, Initial (No. of moles), At equilibrium (No. of moles), Equilibrium concentrations, Equilibrium constant, [CH COOC2H5][H2O], KC = [CH 3COOH][C, H OH], 3, 2 5, x x, x, V V, \ 4.0 =, (2.0 -x) (2.0 -x), x, V, V, substituting the value of, concentration, , 2.0, (2.0 -x), (2.0 -x), V, , 0, x, x, V, , 0, x, x, V, , (0.85)2, [H2(g)]2, as initial concentrations of H2(g) and I2 (g), are equal., (Refer to the balanced chemical equation :, 1 mole of H2 reacts with 1 mole of I2), Equilibrium concentration of I2 (g) =, Equilibrium concentration of H2 (g), (0.85)2, \ 54 =, ,, [H2(g)]2, \ 54 =, , equilibrium, , x2, \ 4.0 = (2.0 -x)2, x, \ 4 = 2.0 -x, x, \ 2 = 2.0 -x, , \ [H2(g)] = 0.12 mol dm-3, Equilibrium concentrations of H2 and I2 are, equal to 0.12 mol dm-3., , \ 4 - 2x = x, \x=, , 2.0, (2.0 -x), (2.0 -x), V, , CH3COOC2H5 + H2O, , 4, 3, , \ x = 1.33, \ (2.0 - x) = 0.67, Therefore, equilibrium concentrations are, 0.67 mol of ethanoic acid, 0.67 mol of ethanol, and 1.33 mol of ethyl ethanoate in V litres., , 12.7.4 Link between chemical equilibrium, and chemical kinetics :, We have deduced in section 12.4.3, k, , (12.7), KC = f, kr, Where kf and kr are velocity or rate constants of, the forward and reverse reactions respectively., This equation can be used to determine the, composition of the reaction mixture, , Problem 12.5 : Equal concentrations of, hydrogen and iodine are mixed together in, a closed container at 700 K and allowed to, come to equilibrium. If the concentraion of, HI at equilibrium is 0.85 mol dm-3, what are, the equilibrium concentrations of H2 and I2, if KC = 54 at this temperature ?, Solution : Balanced chemical reaction :, H2(g) + I2(g), 2HI(g), , [HI(g)]2, \ Kc = [H (g)][I (g)], 2, 2, on substituting the values, , 184, , kf > kr, , kf ≈ kr, , \ KC is very large., , kf and kr have, comparable values, \ KC is nearly one., , \Reaction, goes almost to, completion., \If kf is much, larger than KC, the, reaction may be, irreversible (Reverse, reaction is too slow, to be detected)., , Reaction never goes, to completion., Comparable, concentrations, of reactants and, products are present, at equilibrium.

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Remember, The equilibrium refers to the relative, amounts of reactants and products and, thus a shift in equilibrium in a particular, direction will imply the reaction in that, direction will be favoured., Problem 12.6 : The equilibrium constant, KC for the reaction of hydrogen with iodine, is 54.0 at 700 K., H2(g) + I2(g), , kf, kr, , 2HI(g), , KC = 54.0 at 700 K, a. If kf is the rate constant for the formation, of HI and kr is the rate constant for the, decomposition of HI, deduce whether kf is, larger or smaller than kr., k, Solution :As KC = f = 54.0,, kr, kf is greater than kr by a factor of 54.0, b. If the value of kr at 700 K is 1.16 x 10-3,, what is the kf ?, Kf = KC x kr = 54.0 x (1.16 x 10-3), = 62.64 x 10-3, 12.8 Le Chaterlier's principle and factors, altering the composition at equilibrium :, We have learnt that a reaction attains a state, of equilibrium under a certain set of conditions, (temperature, pressure, concentration and, catalyst)., In general, if we add more reactant, the, system will react to remove it. If we remove, a product, the system will react to replenish, it. Under these changed conditions, new, equilibrium will be established with different, composition from the earlier equilibrium, mixture., The principal goal of chemical, synthesis is to achieve maximum conversion, of reactants to products with minimum, expenditure of energy. To achieve this goal,, the reaction conditions must be adjusted., The qualitative effect of various factors, on the composition of equilibrium mixture are, , described through the Le Chatelier's principle., If a stress is applied to a reaction mixture, at equilibrium, reaction occurs in the direction, which relieves the stress. Stress means any, change in concentration, pressure, volume, or temperature which disturbs the original, equilibrium. The direction that the reaction, takes is the one that reduces the stress. For, example, if concentration of the reactants is, increased, reaction goes in a direction that, tends to decrease the concentration, that is, in, the direction of forward reaction., Le Chatelier's Principle :, It states that, when a system at equilibrium, is subjected to a change in any of the factors, determining the equilibrium conditions, system, will respond in such a way as to minimize the, effect of change., 12.8.1 Factors affecting equilibrium :, (a) Change of concentration, Consider reversible reaction representing, production of ammonia (NH3), N2(g) + 3H2(g), 2NH3(g) + Heat, The reaction proceeds with decrease in number, of moles (∆n = -2) and the forward reaction is, exothermic. Iron ( containing a small quantity, of molybdenum) is the catalyst., [NH3]2, At equilibrium QC = KC = [N ][H, ]3, 2, , (I), , 2, , Stage I : system at equilibrium, Stage II : Equilibrium disturbed by making, QC < KC by adding H2., Due to addition of extra hydrogen, system is, no longer at equilibrium., The system regains its equilibrium in stage III., Stage III : Added hydrogen is to be used up, and converted to more NH3. Hence forward, reaction is favoured., Stage IV : New state of equilibrium is, established., According to Le-Chatelier's principle,, the effect of addition of H2 (or N2 or both) is, reduced by shifting the equilibrium from left to, right so that the added N2 or H2 is consumed., , 185

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The forward reaction occurs to a large, extent than the reverse reaction until the new, equilibrium is established. This results in, increased yield of NH3., Remember, In general, if the concentration of one, of the species in equilibrium mixture is, increased, the position of equilibrium shifts, in the opposite direction so as to reduce the, concentration of this species. However, the, equilibrium constant remains unchanged., , In this reversible reaction, the forward, reaction takes place with increase in the, number of molecules, whereas reverse reaction, takes place with decrease in the number of, molecules., 2. Consider the reaction,, H2(g) + I2(g), 2HI(g), As there is the same number of molecules, of gas on both sides, change of pressure has, no effect on the equilibrium. Here, there is no, change in value of KC during any change in, pressure of the equilibrium reaction mixture., Remember, , (b) Effect of Pressure, You know that : Ideal gas equation is, PV = nRT,, On rearranging we get,, n, P = RT, V, n, n, ∴P∝ V , where the ratio V is an expression, for the concentration of the gas in mol dm-3, 1. An equilibrium mixture of dinitrogen, tetroxide (colourless gas) and nitrogen dioxide, (brown gas) is set up in a sealed flask at a, particular temperature (refer to Fig. 12.3)., 2NO2(g), N2O4(g), The effect of change of pressure on this gaseous, equilibrium can be followed by observing the, change in its colour intensity. See Table 12.1., Table 12.1 : Change in colour intensity, , Change in, pressure, 1. Decrease, in pressure, , Change, in colour, intensity, The colour, deepens, , 2. Increase in The colour, pressure, lightens, to almost, colourless, , Shift in, equilibrium, position, To the right,, the side, with more, molecules, To the left,, the side, with fewer, molecules, , A reaction in which decrease in volume, takes place, reaction will be favoured by, increasing pressure and the reaction with, increase in volume will be favoured with, lowering pressure, temperature being, constant., Remember, In a reversible reaction, the reverse, reaction has an energy change that is equal, and opposite to that of the forward reaction., (c) Effect of Temperature :, Consider the equilibrium reaction,, PCl5(g), , PCl3(g) + Cl2(g) + 92.5 kJ, , The forward reaction is exothermic., The reverse reaction is endothermic. An, endothermic reaction consumes heat., Therefore, increase in temperature results in, shifting the equilibrium in the reverse direction, to use up the added heat (heat energy converted, to chemical energy)., Now let us study the effect of change of, temperature on the equilibrium constant., 1. Consider the equilibrium reaction :, CO(g) + 2H2(g), , CH3OH(g) + Heat, ∆H = -90 kJ mol-1, , 186

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Equilibrium constant KC for the reaction, is, given in Table 12.2., , Do you know ?, Catalyst lowers activation energy for, the forward and reverse reactions by exactly, the same amount., , [CH3OH (g)], KC = [CO (g)][H, (g)]2, 2, Table 12.2, , A catalyst does not appear in the balanced, chemical equation and in the equilibrium, constant expression., Let us summarize effects of all four, factors on the position of equilibrium and, value of KC., , Temperature (K), KC, 298, 1.7 x 1017, 500, 1.1 x 1011, 1000, 2.1 x 106, The forward reaction is exothermic., According to Le Chatelier's principle an, increase in temperature shifts the position, of equilibrium to the left. Therefore, the, concentration of [CH3OH(g)] decreases, and the concentration of CO(g) and H2(g), [CH3OH(g)], increases. K, =, C, [CO(g)][H2(g)]2, Therefore, the value of KC decreases as the, temperature is increased., , Effect of, Concentration, Pressure, , (d) Effect of Catalyst :, Rate of a chemical reaction, increases, with the use of catalyst., Consider an esterification reaction :, CH3COOH(l) + C2H5OH(l), (ethanoic acid) (ethanol), CH3COOC2H5(l) + H2O(l), (ethyl ethanoate) (water), If the above reaction is carried out, without catalyst, it would take many days to, reach equilibrium. However, the addition of, hydrogen ions (H+) as catalyst reduces the, time only to a few hours., , Temperature, Catalyst, , Position of, equilibrium, Changes, Changes, if reaction, involves, change in, number, of gas, molecules, Changes, No change, , Value of KC, No change, No change, , Changes, No change, , Making ammonia The Haber process, , N2 + 3H2, , 2 NH3, , nitrogen, from the air, nitrogen and hydrogen, 1:3 by volume, , hydrogen from, natural gas, , Remember, In all the cases of change in, concentration, pressure, temperature and, presence of catalyst, once the equilibrium, has been re-established after the change,, the value of KC will be unaltered, , unreacted, gases, recycled, , 450º C, 200atm, Iron catalyst, , gases are cooled, and ammonia turns, to liquid, , liquid ammonia, Fig. 12.6 The Haber process, , 12.9 Industrial Application :, The Haber process : (Industrial preparation, of ammonia), Industrial processes can be made efficient, and profitable by applying ideas of rate of, reaction and equilibrium., , A catalyst does not affect equilibrium, constant and equilibrium composition of a, reaction mixture., , 187

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The Haber process is the process of, synthesis of ammonia gas by reacting together, hydrogen gas and nitrogen gas in a particular, stoichiometric ratio by volumes and at selected, optimum temperature., N2(g) + 3H2(g), 2NH3(g) + Heat, The reaction proceeds with a decrease, in number of moles (∆n= -2) and the forward, reaction is exothermic. Iron (containing a small, quantity of molybdenum) is used as catalyst., We studied earlier in section 12.8.1 a. how, the change in concentration of the reactants, affects the yield of ammonia. Now let us, consider the effect of temperature and pressure, on the synthesis of ammonia., , a. Effect of temperature : The formation, of ammonia is exothermic reaction. Hence,, lowering of temperature will shift the, equilibrium to right. At low temperature, however, the rate of reaction is small and, longer time would be required to attain the, equilibrium. At high temperatures, the reaction, occurs rapidly with appreciable decomposition, of ammonia. Hence, the optimum temperature, has to be used. The optimum temperature is, about 773 K., b. Effect of pressure : The forward reaction, is favoured with high pressure as it proceeds, with decrease in number of moles. At high, pressure, the catalyst becomes inefficient., Therefore optimum pressure needs to be used., The optimum pressure is about 250 atm., , Can you tell?, 1. If NH3 is added to the equilibrium system of Haber process, in which direction will the, eqilibrium shift to consume added NH3 so as to reduce the effect of stress?, 2. In this process, out of the reverse and forward reaction, which reaction will occur to a, greater extent due to this stress ?, 3. What will be the effect of this stress on the yield of NH3 ?, , Internet my friend, 1. Collect information about Haber Process and Chemical Equilibrium., 2. Youtube.Freesciencelessons The Haber Process., , 188

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Exercises, 1. Choose the correct option, A. The equlilibrium , H2O(1), OH(aq) is, a. dynamic, c. physical , , H⊕(aq) +, , b. static, d. mechanical, , B. For the equlibrium, A, 2B + Heat,, the number of ‘A’ molecules increases if, a. volume is increased, b. temperature is increased, c. catalyst is added, d. concerntration of B is decreased, C. For the equilibrium Cl2 (g) + 2NO(g), 2NOCl(g) the concerntration of, NOCl will increase if the equlibrium is, disturbed by, a. adding Cl2 b. removing NO, c. adding NOCl c. removal of Cl2, D. The relation between Kc and Kp for the, reaction A (g) + B (g), 2C (g) + D, (g) is, a. Kc = Ykp, b. Kp = Kc2, c. Kc = 1, d. Kp/Kc = 1, Kp, E. When volume of the equilibrium reaction, C (g) + H2O (g), CO (g) + H2 (g), is increased at constant temperature the, equilibrium will, a. shift from left to right, b. shift from right to left, c. be unaltered, d. can not be predicted, 2. Answer the following, A. State Law of Mass action., B. Write an expression for equilibrium, constant with respect to concerntration., C. Derive mathematically value of kP for, for A(g) + B(g), C(g) + D(g), D. Write expressions of Kc for following, chemical reactions, i. 2SO2(g) + O2(g), 2SO3(g), ii. N2O4(g), 2NO2(g), E. Mention various applications of, equilibrium constant., , F. How does the change of pressure affect, the value of equilibrium constant ?, J. Differentiate irreversible and reversible, reaction., K. Write, suitable, conditions, of, concentration, temperature and pressure, used during manufacture of ammonia by, Haber process., L. Relate the terms reversible reactions and, dynamic equilibrium., M. For the equilibrium., BaSO4(s), Ba2⊕(aq) + SO4 2 (aq), state the effect of, a. Addition of Ba2⊕ ion., b. Removal of SO42 ion, c. Addition of BaSO4(s), on the equilibrium., 3. Explain :, A. Dynamic nature of chemical equilibrium, with suitable example., B. Relation between Kc and Kp., C. State and explain Le Chatelier’s principle, with reference to, 1. change in temperature, 2. change in concerntration., D. a. Reversible reaction, b. Rate of reaction, E. What is the effect of adding chloride on, the position of the equilibrium ?, AgCl(s), Ag⊕ (aq) + Cl (aq), , Activity :, Prepare, equilibrium., , 189, , concept maps of chemical

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13. Nuclear chemistry and radioactivity, 13.1 Introduction: Nuclear chemistry is a, branch of physical chemistry : It is the study, of reactions involving changes in atomic, nuclei. This branch started with the discovery, of natural radioactivity by a physicist Antoine, Henri Becquerel (1852-1908). Most of the 20th, century research has been directed towards, understanding of the forces holding the, nucleus together. To understand the changes, occuring on the earth, Geologists explore, nuclear reactions. Astronomers study nuclear, reactions taking place in stars. In biology and, medicine, the interactions of radiation emitted, from nuclear reactions with the living system, are important., Examples of nuclear reactions are :, radioactive decay, artificial transmutation,, nuclear fission and nuclear fusion., We briefly discuss these in this chapter., We have studied the structure of atom in, Chapter 4., 13.1.1 Similarity between the solar system, and structure of atom: Our solar system is, made up of the Sun and planets. The Sun is at, the centre of solar system and planets moving, around it under the force of gravity. Analogous, to this in atomic systems, the forces which, hold nucleus and extranuclear electrons are, attractive electrostatic., As studied in Chapter 4, the atom consists, of tiny central core called nucleus consisting, of protons and neutrons and surrounding, region of space being occupied by fast moving, electrons., The radius of nucleus is of the order of, -15, 10 m whereas that of the outer sphere is of, the order of 10-10 m. The size of outer sphere,, is 105 times larger than the nucleus. There is a, large space vacant outside the nucleus., A, Composition of an atom is denoted as Z X, where X is the symbol of the element. Z equals, number of protons and is called atomic number, of the element. (Refer to chapter 4, section 4.2), , Do you know ?, How small is the nucleus in comparison to, the rest of atom ?, If the atom were of the size of football, stadium, the nucleus at the centre spot, would be the size of a pea., 'A' is the mass number or the sum of, number of protons and neutrons in an atom. N, is the number of neutrons in an atom., A =Z + N, The number of neutrons can be obtained, by subtracting the atomic number, Z, from the, mass number A., The atomic number, appearing as a, subscript to the left of the elemental symbol,, gives the number of protons in the nucleus. The, mass number written as a superscript to the, left of element symbol, gives the total number, of nucleons that is the sum of protons (p) and, neutrons (n). The most common isotope of, carbon, for example, has 12 nucleons : 6, protons and 6 neutrons,, Mass number (A), , 12, 6, , C, , Atomic number (Z), Carbon 12, , 6 protons, 6 neutrons, 12 nucleons, , As you know, atoms with identical atomic, numbers but different mass numbers are called, isotopes. The nucleus of a specific isotope is, called nuclide., The charge on the nucleus is +Ze and, that of outer sphere is −Ze, ('e' is the magnitude, of electronic charge). The atom as a whole, is, thus, electrically neutral. The mass of an, electron is negligible (1/1837th of the mass of, proton) in comparison to pronton or neutron., The entire mass of atom is concentrated in its, nucleus. The density of nucleus is considerably, higher, typically 105 times the density of, ordinary matter., The radius of nucleus is given by, R = Ro A1/3 where Ro is constant, common to, , 190

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all nuclei and its value is 1.33 x 10-15 m. The, volume of nucleus, V ∝ R3 and hence, V ∝ A., 13.2 Classification of nuclides, 13.2.1 Classification on the basis of number, of nucleons : On the basis of the number of, neutrons and protons constituting the nucleus,, the nuclides (which refer to atomic nucleus, without relation to the outer sphere) are, classified as, i. Isotopes : These are nuclides which the, same number of protons but different number, 22, 23, 24, of neutrons For example, 11Na , 11Na , 11Na., The number of neutrons in each being 11, 12, and 13, respectively., ii. Isobars : These are nuclides which have, the same mass number and different number, 14, of protons and neutrons. For example, 6C ,, the number of neutrons in each are 8 and 7,, 3, 14, respectively. Likewise 1H and 32He , or 6C and, 14, 7 N are the pairs of isobars (Table 13.1)., , 13.2.2 Classification on the basis of nuclear, stability, i. Stable nuclides : The number of electrons, and the location of electrons may change in, outer sphere but the number of protons and, neutrons the nucleus is unchanged., ii. Unstable or radioactive nuclides : These, nuclides undergo spontaneous change in, their compposition of radiation forming new, nuclides., 13.3 Nuclear stability : Why are some nuclei, stable while others are radioactive and undergo, spontaneous change? To answer this question, we need to know the factors governing stability, of the nucleus., 13.3.1 Even-odd nature of proton number, (Z) and neutrons (N), Table 13.2 : Distribution of naturally occurring, nuclides., Number of, protons Z, Even, Even, Odd, Odd, , Table 13.1 : Isobars, Isobars of A = 3, , 3, 1, , Isobars of A = 14, , 14, 6, , Isobars of A = 24, , 24, 11, , 3, , H (N = 2), 2He (N = 1), C (N = 8),, , 14, 7, , N (N = 7), 24, 12, , Na (N = 32), Mg (N=12), , iii. Mirror nuclei : These are isobars in which, the number of protons and neutrons differ by 1, 3, 3, and are interchanged. Examples: 1H and 2He,, 13, 13, 6 C and 7 N, iv. Isotones : Isotones are nuclides having the, same number of neutrons but different number, of protons and hence, different mass numbers., For example, carbon, nitrogen, sodium,, magnesium., 13, 14, 23, 24, 6 C and 7 N , 11Na and 12Mg, v. Nuclear isomers : The nuclides with the, same number of protons (Z) and neutrons (N), or the same mass number (A) which differ in, energy states are called nuclear isomers. For, example, 60mCo and 60Co. An isomer of higher, energy is said to be in the meta stable state. It is, indicated by writing m after the mass number., , Number of, neutrons N, Even, Odd, Even, Odd, , Number of, such nuclides, 165, 55, 50, 04, , The distribution of naturally occuring nuclides, in accordance with even/odd values of N and, Z is useful to understand stability of nuclides., a. The nuclides with the even Z and even N, constitute 85% of earth crust. It indicates that, nuclides with even Z and even N are stable., They tend to form proton-proton and neutronneutron pairs and impart stability to the, nucleus., b. The number of stable nuclides with either Z, or N odd is about one third of those in which, both are even. This suggests that these nuclides, are less stable than those having even number, of protons and neutrons. In these nuclides one, nucleon has no partner. Further the nuclides, with odd Z or odd N are nearly the same. This, indicates that protons and neutrons behave, similarly in the respect of stability., c. The stable naturally occureing nuclides, with odd Z and odd N are only four. The small, number is indicative of instability; which can, be attributed to the presence of two unpaired, , 191

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nucleons. This also indicates the separate, pairing of neutrons and protons (The nucleon, pairing does not take place between proton and, neutron). Only 2% of the earth's crust consists, of such nuclides., 13.3.2 Neutron to Proton ratio (N/Z) :, i. Figure 13.1 shows a plot of the neutron, number (N) as a function of proton number (Z), in stable nuclides. A large number of elements, have several stable isotopes. Hence, the curve, appears as a belt or zone called Stability zone., All the stable nuclides fall within this zone., The nuclides which form outside such belt are, radioactive. The straight line below the belt, represents the ratio N/Z to be unity., ii. As may be noticed for nuclei lighter than, 40, 20Ca , one observes the straight line (N=Z), passing through the belt. The lighter nuclides, are therefore stable when their N/Z is nearly 1., 0, , 23, , 140, 0, , 21, , Stable nuclei, Naturally occuring radioisotopes, Artificially produced radioisotopes, , 130, , 0, , 17, , 110, , 0, , 19, , 120, , 0, , 15, , 100, , 0, , 13, , 90, , 0, 11, , N, , =, , Z, , 70, 90, , N Neutrons, , 80, , 60, 50, , 70, , 40, 50, , 30, 30, , 20, , 10, , 10, , 0, , 10, , 20, , 30, , 40, 50, 60, Z Protons, , 70, , 80, , 90, , 100, , Fig. 13.1 : Neutron to Proton (N/Z) ratio, , iii. The N/Z ratio for the stable nuclides heavier, than calcium gives a curved appearance to, the belt with gradually increase of N/Z (> 1)., The heavier nuclides therefore, need more, number of neutrons (than protons) to attain, stability. What is the reason for this? The, heavier nuclides with the increasing number, , of protons render large coulombic repulsions., With increased number of neutrons the protons, within the nuclei get more separated, which, renders them stable., 13.3.3 Magic numbers : The nuclei with 2,, 8, 20, 28, 50, 82 and 126 neutrons or protons, are particularly stable and abundant in nature., 208, These are magic numbers. Lead ( 82Pb ) has two, magic numbers, 82 protons and 126 neutrons., 13.3.4 Nuclear Potential : Within the nucleus,, all protons are positively charged. What are, the consequences of the Coulomb repulsions, between these protons?, The distance between two protons present in, the nucleus is typically 10-15 m. Obviously, the, repulsion between them has to be large. If the, coulomb repulsion had been the only force in, operation the nucleus would not exist. However, the nucleus does exist. This indicates that there, are nuclear forces of attraction between all, the nucleons holding them together within the, nucleus. These are attractions between protonproton, neutron-neutron and proton-neutron., These attractive forces are independent of the, charge on nucleons. Hence p-p, n-n and p-n, attractions are equal. These attractive forces, operate over short range within the nucleus., The p-p, n-n and p-n attractions, constitute what is called the nuclear potential, which is responsible for the nuclear stability., 13.3.5 Nuclear binding energy and mass, defect : Binding energy of a nucleus gives a, measure of how strongly nucleons are held, together within the nucleus., The energy required for holding the, nucleons together within the nucleus of an, atom is called as the nuclear binding energy., It is defined as the energy required to break the, nucleus into its constituents. Here the binding, of electrons to the nucleus has been neglected., Atoms are composed of protons, neutrons, and electrons. The actual mass of atom is, observed to be less than sum of the masses of, its constituents., , 192

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Protons and neutrons are held in a nucleus, together. During the formation of nucleus, a, certain mass is lost. This is known as mass, defect, Δm. An energy equivalent to the, mass lost is released during the formation of, nucleus. This is called the nuclear binding, energy., In general, the exact mass of a nucleus, is slightly less than sum of the exact masses, of the constituent nucleons. The difference is, called mass defect, (Δm)., Δm = Calculated mass – Observed mass., The conversion of mass into energy, is etablished through Einstein's equation,, E = mc2. where m is the mass of matter, converted into energy E and c velocity of light., Units of nuclear masses and energy : The, nuclear mass is usually expressed in unified, mass unit (u) which is exactly 1/12th of the, mass of 12C atom. Thus, 1u = 1/12th mass of, C-12 atom = 1.66 x 10-27 kg., The energy released (in Joules) in the, conversion of 1 u mass into energy is given by, the expression :, E = mc2 = (1.66 x 10-27kg) x (3 x 108m s-1)2, Expression for nuclear binding energy :, A, Consider a nuclide Z X that contains Z, protons and (A - Z) neutrons. Suppose the, observed mass of the nuclide is m. The mass, of proton is mp and that of neutron is mn., Calculated mass = (A-Z) mn + Z mp + Z me …, (13.1), Δm = [(A-Z) mn+ Z mp + Z me] - m, = [(A-Z) mn+ Z (mp+me)] - m, = [(A-Z) mn + Z mH] - m , …(13.2), where (mp + me) = mH = mass of H atom., Thus (Δm) = [ZmH + (A-Z) mn] - m, Where Z is atomic number, A is the mass, number, (A-Z) is neutron number, mH and mn, are masses of hydregen atom and neutron,, respectively, and m is the mass of nuclide., The mass defect, Δm is related to binding, energy of nucleus by Einstein’s equation, ΔE=Δm x c2, where, ΔE is the binding energy, Δm is the mass, deffect. Nuclear energy is usually expressed in, million electron volt (MeV), where, , 1 MeV = 1.602 x 10-13 J, When mass equal to in is converted into energy, it is 931.4 MeV., The total binding energy is then given by, B.E. =∆m (u) x 931.4 (MeV per u), B.E.= 931.4(ZmH + (A-Z) mn) - m … (13.3), fission, , fusion, , Fig. 13.2 : Binding energy per nucleon, , Total binding energy of nucleus containing, A number of nucleons is denoted as B.E. The, binding energy per nucleon is then given by,, − =B.E. / A … (13.4), B, Binding energy per nucleon and nuclear, stability : Mean binding energy per nucleon, for the most stable isotopes as a function of, mass number is shown in Fig. 13.2. This plot, leads to the following inferences., (i) Light nuclides (A < 30), The peaks with A values in multiples of 4. For, 4, 12, 16, example, 2He, 6 C, 8 O are more stable., (ii) Medium mass nuclides : (30 < A < 90), − increases typically from 8 MeV for A=16 to, B, nearly 8.3 MeV for A between 28 and 32 and, it remains nearly constant 8.5 MeV. Beyond, this it shows a broad maximum. The nuclides, falling on the maximum are most stable as, −, they possess high B values. Accordingly 56Fe, with −, B value of 8.79 MeV is the most stable, nuclide., (iii) Heavy nuclides (A > 90), − decreases from maximum 8.79 MeV, B, to 7.7 MeV for A ≅ 210, 209Bi is the heaviest, stable nuclide. Beyond this all nuclides are, radioactive (α- emitters)., , 193

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Problem : 13.1 : Calculate the mean binding, 16, energy per nucleon for the formation of 8 O, nucleus. The mass of oxygen atom is 15.994, u. The masses of H atom and neutron are, 1.0078 u and 1.0087 u, respectively., Solution :, i. The mass defect, ∆m = ZmH + (A - Z) mn, -m, mH = 1.0078 u, mn = 1.0087u and m = 15.994, u , Z = 8, A = 16, ∆m = 8 x 1.0078u + 8 x 1.0087u - 15.994 u, = 0.137144 u, ii. Total binding energy, B.E. (MeV) = ∆m, (amu) x 931.4, Hence, B.E. = 0.137144 x 931.4 = 127.73, MeV, iii. Binding energy per nucleon, B = BE, A, 127.73MeV, Hence, B =, 16, = 7.98 MeV/nucleon, Calculate the binding energy per nucleon, for the formaton of 42He nucleus ? Mass, 4, He atom = 4.0026 u., 2, 13.4 Radioactivity : You know that some, elements such as uranium and radium are, radioctive elements. An element is radioactive, if the nuclei of its atoms are unstable. The, phenomenon in which the nuclei spontaneously, emit a nuclear particle and gamma radiation, transforming to a different nuclide is called, radioactivity. The elements which undergo, nuclear changes are radioactive elements The, radioactivity is the phenomenon related to the, nucleus., The radiations emitted by radioactive, elements are : alpha (α), beta (β) and gamma, (ϒ) radiations. Earlier you have studied the, properties of α, β and ϒ rays., , Try this, Prepare a chart of comparative properties, of the above three types of radiations., , 13.5 Radioactive decay : The probability of, decay of a radioelement does not depend on, state of chemical combination, temperature,, pressure, presence of catalyst or even the age, of nucleus., 13.5.1 Rate of decay : Rate of decay of a, radioelement denotes number of nuclei of, its atoms which decay in unit time. It is also, called activity of radioelement., If dN is the number of nuclei that decay within, time interval dt, then rate of decay at any time, t is given by, dN, rate of decay (activity) = dt, Why is minus sign required ? The number, of nuclei decreases with time. So dN is a, negative quantity. However the rate of decay, is a positive quantity. The negative sign is, introduced in the rate expression to make the, rate positive. The rate of decay is expressed as, disintegrations per second (dps)., 13.5.2 Rate law : The rate of decay of a, radioelement at any instant is propontional to, the number of nuclei (atoms) present at that, instant. Thus,, dN, dN, ∝ N, or =λN, (13.5), dt, dt, dN, 1, ∴λ=x, dt, N, dN, being the rate of decay at any, where dt, time t. N is the number of nuclei present at time, t, λ the decay constant. That is the fraction of, nuclei decaying in unit time., 13.5.3 Expression for decay constant :, Rearranging the Eq. (13.5), dN, = - λ dt, N, Integrating,, dN, ∫, = - ∫ λ dt, N, On performing the integration, we get, lnN = - λt + C , (13.6), where C is the constant of integration whose, value is obtained as follows :, -, , 194

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Let N0 be the number of nuclei present at, some arbitrary zero time. At time t, the number, of nuclei is N. So at t = 0, N = N0. Substituting, in Eq. (13.6),, ln N0 = C., with this value of C, Eq. (13.6) becomes, ln N = - λt + ln N0, N, or λt = ln N0 - ln N = ln 0, (13.7), N, 1, N, Hence, λ =, ln 0, (13.8), t, N, Converting natural logarithm (ln) to logarithm, to the base 10, the eqn (13.8) becomes, , A plot of log10 N versus t gives a straight, dN, . Hence, instead, line. However, N ∝, dt, dN, which is, of log10 N versus t, log10, dt, log10 (activity) is plotted versus. The graph is, a straight line as shown in Fig. (13.3)., , slope = -, , 2.303, N, log10 0, (13.9), t, N, The Eq. (13.7) can be expressed as ln, N, = - λt. Taking antilog of both sides, we get, N0, λ=, , log, activity, , Time, , (13.10), , The Eq. (13.9) and Eq. (13.10) give the decay, constant., 13.5.4 Half life of radioelement (t1/2) : The, half life of a radioelement is the time needed, for a given number of its nuclei (atoms) to, decay exactly to half of its initial value. Each, radio isotope has its own half life denoted by, t1/2 and expressed in seconds, minutes, hours,, days or years. At any time t, number of nuclei, = N., At t = 0, N = N0. Hence at t = t1/2,, N = N0/2 substitution of these values of N and t, in Eq. (13.9) gives, N0, 2.303, log10 N /2, λ=, 0, t, , Fig. 13.3 : Plot of log10 activity Vs time, , ii. Rate of radioactive decay at any instant, is proportional to number of atoms of the, radioactive element present at that instant. It, is evident that as decay progresses, the number, of radioactiv atoms decrease with time and, so does the rate of decay. A plot of a rate or, activity versus t is shown in Fig 13.4., 800, 700, 600, , Activity, , N, = e-λt or N = N0e-λt, N0, , 13.5.5 Graphical representation of decay, i. From Eq. (13.9), -λ, t + log10 N0, log10 N =, 2.303, , 500, 400, 300, 200, 100, 0, 0, , 1/2, , 2.303, 2.303, 0.693, =, log10 2 =, x 0.3010 =, t1/2, t1/2, t1/2, 0.693, 0.693, Hence, λ =, or t1/2 =, t1/2, λ, , λ, 2.303, , 500, , 1000, , 1500, , Time, , Fig. 13.4 : Plot of activity versus time, , Fig. 13.4 shows a decrease in the rate, of decay, that is, decrease in number of, radioactive atoms with time., , 195

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Problem : 13.2, 41, Ar decays initially at a rate of 575 Bq. The, rate falls to 358 dps after 75 minutes. What, is the half life of 41Ar ?, Solution :, N0, 2.303, log10 N, λ=, t, where, , dN0, dt, , Problem : 13.4, The half life of 34Cl is 1.53 s. How long, does it take for 99.9 % of sample of 34Cl to, decay?, Solution :, λ=, , = 575 dps, , Now, λ =, , dN, dt = 358 dps and t = 75 min., , λ=, , N0, N, , N0, 2.303, log10 N, t, , Hence, log10, , N0, N, , =, , λt, 2.303, , N0, N, 6.794 x 10-3 y-1 x 62 y, = 0.1829, =, 2.303, It then follows that, , N0 = 100, N = ?, t = 40 d, =, , 100, 2.303, log10 0.1, t, , Problem : 13.5, The half life of 209P0 is 102 y. How much of, 1 mg sample of polonium decays in 62 y?, Solution :, 0.693, 0.693, =, = 6.794 x 10-3 y-1, λ=, t1/2, 102 y, , Problem : 13.3, The half life of 32P is 14.26 d. What, percentage of 32P sample will remain after, 40 d?, Solution :, 0.693, 0.693, =, = 0.0486 d-1, t1/2 =, t1/2, 14.26 d, , N0, N, , N0, N, , 2.303, x log10(1000), 0.453 s-1, 2.303, =, x 3 = 15.25 s, 0.453 s-1, , = 109.7 min, , Hence, log10, , = 0.453 s-1, , or t =, , 0.693, 0.693, ==, λ, 6.32 x 10-3 min-1, , 2.303, log10, t, , 2.303, log10, t, , Hence, 0.453 s-1 =, , = 6.32 x 10-3 min-1, , Now, λ =, , 0.693, 1.53s, , N0 = 100, N = 100 - 99.9 = 0.1, t = ?, , 575 dps, 2.303, log10 358 dps, Hence, λ =, 75 min, , t1/2 =, , 0.693, =, t1/2, , or, log10, , λt, 2.303, , 0.0486 d-1 x 40 d, = 0.8441, 2.303, Taking antilog of both sides we get, N0, = antilog (0.8441) = 6.984, N, 100, 100, = 6.984 or N =, = 14.32, N, 6.984, , N0, N = antilog (0.1829) = 1.524, N0, 1 mg, N = 1.524 = 1.524 = 0.656 mg, N the amount that remains after 62 y., Hence, the amount decayed in, 62 y = 1 mg - 0.656 mg = 0.344 mg, , =, , % 32P that remains after 40 d = 14.32 %, , 196

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13.5.6 Units of radioactivity : Rate of, radioactive decay is expressed in dps. The unit, for the radioactivity is curie (Ci)., 1 Ci = 3.7 x 1010 dps (disintegrations per second), Another unit of radioactivity is Becquerel (Bq), 1 Bq = 1 dps. Thus, 1Ci = 3.7 x 1010 dps = 3.7, x 1010 Bq, 13.6 Modes of decay : Radioelements decay, by 3 ways, namely, α- decay, β- decay and γemission., 13.6.1 Alpha decay : The emission of ∝particle from the nuclei is called ∝- decay. You, have learnt that the charge of an ∝- particle, is +2 and its mass is 4 u. It is identical with, helium nucleus and hence an ∝- particle is, also designated as 42He., In the ∝- decay process, the parent nucleus, A, X emits an α- particle and produces daughter, z, nucleus Y. The parent nucleus thus loses two, protons (charge +2) and two neutrons. The total, mass lost is 4 u. The daughter nucleus will,, therefore, have mass 4 units less and charge 2, units less than its parent. The ∝- decay process, is, then, written as a general equation :, A, z, , X, , parent , , Y + 42He, , A-4, z -2, , Daughter emitted particle, , For example,, Radium 226 decays to form Radium 222 :, 226, 88, , Ra, , parent , , 222, 86, , Rn + 42He, , Daughter emitted particle, , Uranium 238 decays to give Thorium 234 :, 238, 234, U, Th + 42He, 92, 90, parent , , Daughter emitted particle, , Note that in ∝- decay, the daughter nucleus, formed belongs to an element that occupies, two places to the left of the periodic table., 13.6.2 β- decay : β - decay : The emission of, negatively charged stream of β particles from, the nucleus is called β - decay. You know that, β - particles are electrons with a charge and, mass of an electron, mass being negligible as, compared to the nuclei. A nucleus decays by, emitting a high speed electron called a beta, particle (β). A new daughter nucleus is formed, with the same mass number as the original, parent nucleus but an atomic number that is, one unit greater., , A, z, , X, , parent , , A, z +1, , Y +, , 0, -1, , e, , Daughter emitted particle, , Note that the mass number A does not change,, the atomic number changes. Examples of beta, decay :, Neptunium 238 decays to form plutonium 238:, 238, 238, Np, Pu + -10 e, 93, 94, parent , , Daughter emitted particle, , Plutonium 241 decays to form americium 241:, 241, 241, Pu, Am + -10 e, 94, 95, parent , , Daughter emitted particle, , 13.6.3 γ - decay : γ-Radiation is almost always, accompanied with α and β decay processes., In α and β decay process, the daughter, nucleus formed is in energetically excited, state. Ground state product are formed with, emission of γ - rays., 238, 234, Th + 42He + γ, For example, 92 U, 90, 238, U emits α-particles of two different, 92, energies, 4.147 MeV (23%) and 4.195 MeV, (77%). When α- particles of energy 4.147, MeV are emitted, 234Th is left in an excited, state which de-excites to the ground state with, emission of γ- ray photons energy 0.048 MeV., 13.7 Nuclear reactions : We have so far, discussed natural (spontaneous) nuclear, rections through α and β- decay processes. Now, we consider the non-spontaneous (man-made), nuclear reactions or nuclear transmutations., 13.7.1 Transmutation : The nuclear, transmutation is transformation of a stable, nucleus into another nucleus be it stable or, unstable. The nuclear transmutation where, the product nucleus is radioactive is called, artificial radioactivity., , 197, , Table 13.3 : Comparison of chemical reactions, and nuclear reactions, Chemical Reactions, Nuclear Reactions, 1. Rearrangement of, 1. Elements or isotopes, atoms by breaking and of one elements are, forming of chemical, converted into another, bonds., element in a nuclear, reaction., 2. Different isotopes of 2. Isotopes of an, an element have same element behave, behaviour., differently.

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For example, 235U nucleus captures neutrons, and splits into two lighter fragments., , 3. Only outer shell, electrons take part in, the chemical reaction., , 3. In addition to, electrons, protons,, neutrons, other, elementary particles, may be involved., 4. The chemical, 4. The nuclear reaction, reaction is, is accompanied by a, accompanied by, large amount of energy, relatively small, change. e.g. The, amounts of energy. e.g. nuclear transformation, chemical combustion, of 1 g of, of 1.0 g methane, Uranium - 235 releases, releases only 56 kJ, 8.2 x 107 kJ, energy., 5. The rates of reaction 5. The rate of, is influenced by the, nuclear reactions, temperature, pressure, are unaffected by, concentration and, temperature, pressure, catalyst., and catalyst., , 235, 92, , U + 10 n, , 13, 6, , N, , stable, , C + 01e, , Radioactive, , (spontaneous emission of positron), , Try this, , 91, 36, , Kr + 3 10 n +Energy, , Do you know ?, , Mg and Al, both undergo (α,n), reactions and the products are radioactive., These emit β particles having positive charge, (called positrons). Write balanced nulcear, reactions in both., 24, , Ba +, , Each fission may lead to different, products. The mass of the fission products is, less than the parent nucleus. A large amount, of energy corresponding to the mass loss is, released in each fission. When one Uranium, 235 nucleus undergoes fission, three neutrons, are emitted, which subsequently disintegrate, three more Uranium nuclei and thereby, produce nine neutrons. Such a chain continues, by itself. In a very short time enormous amount, of energy is liberated, which can be utilized for, destructive (dangerous explosives) or peaceful, purposes (nuclear reactor - Power Plant)., There is no unique way for fission of 235U, that produces Ba and Kr, and 400 ways for, fission of 235U leding to 800 fission products, are known. Many of these are radioactive, which undergo spontaneous disintegrations, giving rise to new elements in the periodic, table., Interestingly each fission emits 2 to 3, neutrons (on an average 2.5 neutrons). Can, you imagine what will happen due to neutron, emission? Obviously these neutrons emitted in, fission cause more fission of the uranium nuclei, which yield more neutrons. These neutrons, again bring forth fission producing further, neutrons. The process continues indefinitely, leading to chain reaction which continues even, after the removal of bombarding neutrons., Energy released per fission is ~ 200 MeV., , 13.7.2 Induced or artificial radioactivity :, It is type of nuclear transmutation in which, the stable nucleus is converted into radioactive, nucleus. The product nucleus decays, spontaneously with emission of radiation and, particles. For example, the stable element 10B,, when bombarded with α- particles, transforms, into 13N which spontaneously emits positrons., 10, 13, B + 42He, N + 10 n ,, 5, 7, 13, 7, , 142, 56, , 27, , 13.7.3 Nuclear fission : Nuclear fission is, splitting of the heavy nucleus of an atom into, two nearly equal fragments accompanied by, release of the large amount of energy. When, a uranium nucleus absorbs neutron, it breaks, and releases energy (Heat), more neutrons,, and other radiation., , 198, , The chain reaction in fission of 235U, becomes self sustaining. What is the critical, mass of 235U ?, The chain reaction occurs so rapidly, that nuclear explosion results. This is what, happens in atom bomb., 13.7.5 Nuclear fusion : Energy received by, earth from the Sun is the result of nuclear, fusion. In the process, the lighter nuclei, combine (fuse) together and form a heavy, nucleus which is accompanied by an enormous, amount of energy. Representative fusion, reactions occuring in the Sun and stars are

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1, 1, i. 1H + 1H, 1, 2, ii. 1H + 1H, 3, 3, iii. 2He + 2He, 3, 1, iv. 2He + 1H, , 2, 1, 3, 2, 4, 2, 4, 2, , H + -10e, He, He + 2 11H, He + 01e, , Problem : 13.6, How many α and β- particles are emitted, in the following ?, 237, 209, Bi, Np, 93, 83, Solution : The emission of one α - particle, decreases the mass number by 4 whereas, the emission of β- particles has no effect, on mass number., Net decrease in mass number = 237 - 209 =, 28. This decrease is only due to α- particles., Hence number of α- particles emitted, 28, =, =7, 4, Now the emission of one α-particle, decreases the atomic number by 2 and βparticle emission increases by 1., The net decrease in atomic number = 93 83 = 10, The emission of 7 α-particles causes, decrease in atomic number by 14. However, the actual decrease is only 10. It means, atomic number increses by 4. This increase, is due to emission of β-particles. Thus, 4, β- particles are emitted., , Problem : 13.7, Estimate the energy released in the fusion, reaction, 2, 4, H + 32He, He + 11H, 1, 2, Given atomic masses : 2H = 2.041 u, 3, He = 3.0160 u, 4He = 4.0026 u, 1H =, 1.0078 u, Solution :, Mass defect ∆m = (mass of 2H + mass of, 3, He) - (mass of 4He + mass of 1H), = 2.0141 u + 3.0160 u - 4.0026 u - 1.0078, u = 0.0197 u., E = ∆m (u) x 931.4 = 0.197 u x 931.4 =, 18.35 MeV., , Problem : 13.8, Half life of 209Po is 102 y. How many αparticles are emitted in 1s from 2 mg sample, of Po?, Solution :, Activity = number of α (or β) particles, emitted, dN, = λN, dt, 0.693, 0.693, λ=, =, t1/2, (102 x 365 x 24 x 3600)s, =, , = 2.154 x 10-10 s-1., N=, , 2 x 10-3 x 6.022 x 1023, 209, , = 5.763 x 1018 atoms of nuclei, =, , dN, = λN, dt, , = 2.154 x 10-10s-1 x 5.763 x 1012 atoms, = 1241 particles s-1., Nuclear fusion has certain advantages, over nuclear fission. Fusion produces relatively, more energy per given mass of fuel., The only difficulty with fusion is it, requires extremely high temperature typically, 108 K., 13.8 Applications of Radio isotopes, 13.8.1 Radiocarbon dating : The technique, is used to find the age of historic and, archaelogical organic samples such as old, wood samples and animal or human fossils., i. Radioactive 14C is formed in the upper, atmosphere by bombarment of neutrons from, cosmic rays on 14N., 14, 14, N + 10 n, C + 11 H, 7, 6, ii. 14C combines with atmospheric oxygen to, form 14CO2 which mixes with ordinary 12CO2., iii. Carbon di oxide is absorbed by plants, during photosynthesis. Animals eat plants., Hence, 14C becomes a part of plant and animal, bodies., , 199

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High pressure steam, , Do you know ?, The oldest rock found so far in Northern, Canada is 3.96 billion years old., , Uranium rods, Neutron, , Radiation, shield, , iv. As long as plant is alive, the ratio 14C/12C, remains constant. When the plant dies,, photosynthesis occurs no more and the ratio, 14, C/12C decreases with the decay of 14C (half, life 5730 years)., 14, 14, C, N + -10 e, 6, 7, , Source to start, reaction, , H2O, , Water, , Fig. 13.4 (a) : simplified nuclear reactor, Coding, tower, , Activity :, You have learnt in Std. 9th, medical,, industrial and agricultural applications, of radioisotopes. Write at least two, applications each., , Steam, , v. The activity (N) of given wood sample, and that of fresh sample of live plant (N0) is, measured. N0 denotes, the activity of the given, sample at the time of death., vi. The age of the given wood sample, rather, the period over which it has remained dead, can be determined., N0, 2.303, t=, log10, N, λ, 0.693, where λ =, = 1.21 x 10-4 y-1., 5730 y, 13.8.2 Electrical energy from Nuclear fission, Do you know what is the Nuclear Power ?, It is simply the electricity made from fission of, uranium and plutonium., Why should we care about the Nuclear power?, a. It offers huge environmental benefits in, producing electricity., b. It releases zero carbon dioxide., c. It releases zero sulfur and nitrogen oxides., These are atmospheric pollutants which, pollute the air. Thus it is a clean energy., We are intersted in Nuclear power because :, Fission of 1 gram of uranium-235 produces, about 24,000 kW/h of energy., This is the same as burning 3 tons of, coal or 12 barrels of oil, or nearly 5000 m3 of, natural gas., , Control, rod, Nuclear, reactor, Urenium, fuel, Liquid water under, high pressure, (carries heat to steam generator), , Steam, generator, , Condenser, (steam from, turbine is, condensed by, river water), , Pump, , 100º F, 80º F, , Fig. 13.4 (b) : Schematic diagram of nuclear, power plant, , The nuclear fission is an alternative, enegy source. Traditionally, the steam comes, from boilers fuelled by oil, gas, or coal. These, sources are depleting. The increasing costs, of petroleum suggest we need to depend on, the nuclear fission energy for electricity., Nuclear Reactor : Nuclear reactor is a device, for using atomic energy in controlled manner, for peaceful purposes. During nuclear fission, energy is released. The released energy can, be utilized to generate electricity in a nuclear, reactor., In a nuclear reactor, U235 or P239, a, fissionable material is stacked with heavy, water (D2O Deuterium oxide) or graphite, called moderator. The neutrons produced in, the fission pass through the moderator and, lose a part of their energy. Subsequently the, slow neutrons are captured which initiate new, fission., , 200

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Table 13.4 (a) : Diagnostic Radioisotopes, (i), (ii), , 51, 24, , Cr, , 59, 26, , Fe, , Isotope, Chromium-51, , Half-life, 28 days, , Emitted particles, gamma, , Uses, spleen imaging, , Iron-59, , 45 days, , beta, gamma, , bone marrow, function, , Table 13.4 (b) : Therapeutic Radioisotopes, (i), , 35, 15, , Isotope, phosphours-32, , Half-life, 14 days, , Emitted particles, beta, , cobalt-60, , 5.3 years, , beta, gamma, , I, , iodine-131, , 8 days, , beta, gamma, , Ra, , radium- 226, , 1620 years, , beta, gamma, , P, , (ii), , 60, , (iii), , 131, , (iv), , 226, , 27, , Co, , 53, , 88, , Cadmium rods are inserted in the moderator, and they have ability to absorb neutrons. The, rate of chain reaction thus is controlled. The, energy released in such reaction appears as, heat and removed by circulating a liquid, (coolant). The coolant which has absorbed, excess of heat from the reactor is passed, over a heat exchanger for producing steam,, which is then passed through the turbines to, produce electricity. Thus, the atomic energy, produced with the use of fission reaction can, be controlled in the nuclear reactor explored, for peaceful purposes such as conversion, into electrical energy generating power for, civilian purposes, ships, submarines etc., 13.8.3 Applications in medicine :, Hospitals and larger medical clinics, typically have a Department of Nuclear, Medicine., Several radioisotopes are used for the, treatment of fatal diseases like Cancer., , Uses, treatment of, leukemia, external radiation, source for cancer, treatment, treatment of thyroid, cancer, implanted in tumours, , Table shows medical uses in two different, categories, namely diagnostic and therapeutic., For diagnostic purpose, short-lived isotopes, are used to limit the exposure time to radiation,, while therapeutic radioisotopes are used to, destroy abnormal, usually Cancerous cells., 13.8.4 Other applications of radioisotopes :, Radioisotopes find a variety of, applications in the diverse areas Agricultural, products those are preserved by irradiating, with gamma rays from Cobalt - 60 or Caesium, - 137., Another application is radio-tracer, technique wherein one or more atoms of, a chemical compound are replaced by a, radionuclide to trace the path followed by, that chemical in the system under study by, radioactivity measurement., , Internet my friend, , Do you know ?, Bhabha Atomic Research Centre, (BARC) Mumbai has set up irradiation plants, for preservation of agricultural produce such, as mangoes, onion and potatoes at Vashi, (Navi Mumbai) and Lasalgaon (Nashik)., , 1. Isotopic tracer technique : www.iaea., org>topics>radiotracers, 2. Collect information about Nuclear, Reactions., , 201

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Exercises, 1. Choose correct option., A. Identify nuclear fusion reaction, 1, 1, 2, 0, H + 1e, a. 1 H + 1 H, 1, 2, 1, 3, He, b. 1 H + 1 H, 2, 3, 1, 3, 1, H + 1p, c. 1 H + 1 H, 1, B. The missing particle from the nuclear, reaction is, 27, 1, Al + 42He, ? + 0n, 13, 30, 32, 14, a. 15P b. 16S c. 10Ne d. 14Si, 60, C. 27CO decays with half-life of 5.27 years to, 60, produce 28 Ni . What is the decay constant, for such radioactive disintegration ?, a. 0.132 y-1 b. 0.138 c. 29.6 y d. 13.8%, D. The radioactive isotope used in the, treatment of Leukemia is, a. 60Co , b. 226Ra, c. 32P , d. 226I, E. The process by which nuclei having low, masses are united to form nuclei with, large masses is, a. chemical reaction, b. nuclear fission, c. nuclear fusion, d. chain reaction, 2. Explain, A. On the basis of even-odd of protons and, neutrons, what type of nuclides are most, stable ?, B. Explain in brief, nuclear fission., C. The nuclides with odd number of both, protons and neutrons are the least stable., Why ?, D. Referring the stabilty belt of stable, +, nuclides, which nuclides are β and β, emitters ? Why ?, E. Explain with an example each, nuclear transmutation and artifiacial, radioactivity. What is the difference, between them ?, F. What is binding energy per nucleon ?, Explain with the help of diagram how, binding energy per nucleon affects, nuclear stability ?, , G. Explain with example α - decay., H. Energy produced in nuclear fusion is, much larger than that produced in nuclear, fission. Why is it difficult to use fusion to, produce energy ?, I. How does N/Z ratio affect the nuclear, stability ? Explain with a suitable, diagram., J. You are given a very old sample of wood., How will you determine its age ?, 3. Answer the following question, A. Give example of mirror nuclei., B. Balance the nuclear reaction:, 118, 118, Xe, ? + I 54, 54, C. Name the most stable nluclide known., Write two factors responsible for its, stability., D. Write relation between decay constant of, a radioelement and its half life., E. What is the difference between an α particle and helium atom ?, F. Write one point that differentiates nuclear, reations from chemical reactions., G. Write pairs of isotones and one pair of, mirror nuclei from the following :, 10, 12, 27, 11, 28, B , 6 C , 13 Al , 6 C , 14 S:, 5, , 202, , H. Derive the relationship between half life, and decay constant of a radioelement., I. Represent graphically log10 (activity /, dps) versus t/s. What is its slope ?, J. Write two units of radioactivity. How are, they interrelated ?, K. Half life of 24Na is 900 minutes. What is, its decay constant?, L. Decay constant of 197Hg is 0.017 h-1., What is its half life ?, M.The total binding energy of 58Ni is 508, MeV. What is its binding energy per, nucleon ?, 32, N. Atomic mass of 16 S is 31.97 u. If masses, of neutron and H atom are 1.0087 u and, 1.0078 u respectively. What is the mass, defect ?

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O. Write the fusion reactions occuring in the, Sun and stars., P. How many α and β - particles are emitted, in the trasmutation, 232, 208, Th, Pb ?, 90, 82, Q. A produces B by ∝- emission. If B is in, the group 16 of periodic table, what is the, group of A ?, R. Find the number of α and β- particles, emitted in the process, 222, 214, Rn, Po, 86, 84, 4. Solve the problems, A. Half life of 18F is 110 minutes. What, fraction of 18F sample decays in 20, minutes ? , (Ans. : 0.118), 35, B. Half life of S is 87.8 d. What, percentage of 35S sample remains after, 180 d ? , (Ans. : 24.2%), 67, C. Half life Ga is 78 h. How long will it, take to decay 12% of sample of Ga ?, (Ans.14.44), D. 0.5 g Sample of 201Tl decays to 0.0788 g, in 8 days. What is its half life ?, (Ans.3.0 d), 111, E. 65% of In sample decays in 4.2 d., What is its half life ? , (Ans. : 2.77 d), F. Calculate the binding energy per, 84, nucleon of, Kr whose atomic, 36, mass is 83.913 u. (Mass of neutron is, 1.0087 u and that of H atom is, 1.0078 u). , (Ans.: 8.7 MeV), G. Calculate the energy in Mev released in, the174nuclear reaction, 4, 170, Ir, Re + 2 He, 77, 75, Atomic masses : Ir = 173.97 u,, Re = 169.96 u and, He = 4.0026 u , (Ans.6.89 MeV), H. A 3/4 of the original amount of, radioisotope decays in 60 minutes. What, is its half life ? , (Ans.: 30 min), , 203, , I. How many - particles are emitted, by 0.1 g of 226Ra in one year?, (Ans. : 1.154 × 1017), J. A sample of 32P initially shows activity, of one Curie. After 303 days the activity, falls to 1.5 × 104 dps. What is the half life, of 32P ? , (Ans.14.27 d), K. Half life of radon is 3.82 d. By what time, would 99.9 % of radon will be decayed., (Ans.38.05 d), L. It has been found that the Sun’s mass loss, is 4.34 × 109 kg per second. How much, energy per second would be radiated into, space by the Sun ?, , (Ans.: 3.9 × 1023 kJ/s), M. A sample of old wood shows, 7.0 dps/g. If the fresh sample of tree, shows 16.0 dps/g, How old is the given, sample of wood ? Half life of 14C, 5730 y. , (Ans. 6833 g), , Activity :, 1. Discuss five applications of radioactivity, for peaceful purpose., 2. Organize a trip ot Bhabha Atomic, Reasearch Centre, Mumbai to learn, about nuclear reactor. This will have to, be organized through your college.

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14. Basic Principles of Organic Chemistry, atoms denoted with their symbols and all, covalent bonds therein represented by a dash, joining mutually bonded atoms. For example,, structural formula of CH4 is :, H, , H C H, , Can you recall?, •, •, •, , Which is the essential element in all, organic compounds ?, What is the unique property of carbon, that makes organic chemistry a, separate branch of chemsitry?, Which classes of organic compounds, are often used in our daily diet ?, , 14.1 Introduction : Of all the elements, only, carbon is able to form an immense array of, compounds, ranging from methane having, one carbon atom to deoxyribonucleic acid, (DNA) with billions of carbon atoms. Crude, oil is a complex mixture of compounds called, hydrocarbons. The pharmaceutical industry is, one of the most important chemical industries, that provides us medicines which are organic, compounds. We need to study the organic, compounds for they are interesting in their own, right and their functions are greatly important, to life., Try this, Find out the structures of glucose,, vanillin, camphor and paracetamol using, internet. Mark the carbon atoms present, in them. Assign the hybridization state, to each of the carbon and oxygen atom., Identify sigma (σ) and pi (π) bonds in these, molecules., 14.2 Structural Representation of organic, molecules, Try this, •, •, , Draw the structural formula of ethane., Draw electron-dot structure of propane., , In the previous standards you learnt how, to write structural formulae and electron dot, structure of hydrocarbons. Structural formula, of a molecule shows all the constituent, , 204, , H, In the electron dot structures of molecules,, the valence electrons of all the atoms are, shown as dots around them. Two dots drawn in, between two atoms indicate one covalent bond, between them. For example, the electron dot, structure of methane is as shown here, H, , HCH, H, Electron dot structures are called Lewis, structures and the dash formula represents, simplified Lewis formula. Chemists have, developed some more ways to represent organic, molecules fulfilling specific requirements., 14.2.1 Condensed formula : The complete, structural formula can be further simplified, with hiding of some or all the covalent bonds, and indicating the number of identical groups, attached to an atom by a subscript. The, resulting formula of a compound is known as, condensed formula. For example : condensed, formula of ethane can be written as CH3 - CH3, or CH3CH3., 14.2.2 Bond line formula or zig-zag formula, In this representation of a molecule, symbols of carbon and hydrogen atoms are not, written. The lines representing carbon-carbon, bonds are drawn in a zig-zag manner and the, terminals of the zig-zag line represent methyl, groups. The intersection of lines denotes a, carbon atom bonded to appropriate number, of hydrogen which satisfy the tetravalency, of carbon atoms. For example : propane is, ., represented by the zig-zag formula, However the heteroatoms or hydrogen atoms, bonded to heteroatoms are written clearly. For, example : The bond line formula of C2H5OH, OH., is

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Try this, , Complete the Table 14.1, Table 14.1 : Representation of structural formula, , Dash formula, 1. H H H, , H, H-C-C-C-C-H, H H H H, , Condensed formula A, CH3(CH2)2CH3, , Condensed formula B, , Bond line or zig-zag formula, , CH3- CH2 - CH2- CH3, , 2., 3., , CH3(CH2)2CHO, , 4., , CH3CH2CH(CH3)OH, , 5., , H, N≡C-C-C≡N, OH, , 14.2.3 Drawing the molecules in three, dimensions : Most organic molecules have, three dimensional shapes. Four different, methods are used to represent three dimensional, molecules on plane paper., I. Wedge formula : The three dimensionl, (3-D) view of a molecule can be represented on, plane paper by representing the single bonds, ), dashed wedges, using solid wedge (, (, ) and normal line (−). A solid wedge is, used to represent a bond projecting up from, the paper towards the reader. A dashed wedge, is used to represent a bond going backward,, below the paper away from the reader. Normal, lines depict bonds in the plane of the paper., See Fig. 14.1 (for convenience solid and, dashed wedge can be replaced by solid/bold, and dashed lines.), Bonds in the, plane of paper, , be drawn by visualizing the molecule with its, main carbon chain vertical. Each carbon on, the vertical chain is represented by a cross., The convention is that the horizontal lines of, the cross represent bonds projecting up from, the carbon and the vertical lines represent the, bonds going below the carbon. Figure 14.2, illustrates the conventions of Fischer projection, formula., COOH, H, , H, H, , COOH, OH, OH, CH3, , Fischer projection/, cross formula, , C, , OH, , CH3, , Wedge formula, , Fischer projection/, cross formula, , Bond projecting, above the paper, , II. Fischer projection formula or cross, formula : In this representation a three, dimensional molecule is projected on plane, of paper. A Fischer projection formula can, , ≡, , CH3, , Bond going below, the paper, , Fig. 14.1 : Wedge formula, , OH, , H, , COOH, , COOH, ≡, , H, H, , C, C, , OH, OH, , CH3, Wedge formula, , Fig 14.2 : Fischer projection (cross) formula, , Fischer projection formula is more commonly, used in carbohydrate chemistry, III Newman projection formula : In this, method projection of a three dimensional, molecule on the plane of the paper is drawn by, visualizing the molecule by looking through a, , 205

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C-C single bond. In such case the C-C is not, visible. A convention is followed to represent, the front carbon by a point and the rear carbon, by a circle around it. The remaining three, bonds at each of these two carbons are drawn, like spokes of a wheel. Conventionally three, bonds at the front carbon are shown to radiate, from the centre of the circle (which is the front, carbon) and three bonds at the rear carbon are, shown to radiate from the circumference of the, circle. Figure 14.3 shows two representations, of ethane (CH3-CH3) molecule by this method., H, , HH, , H, H, H, , H, H, , H, , 14.3 Classification of organic compounds :, With so many different molecules to study,, it is important to find ways of relating different, structures of molecules to their chemical, properties. This provides basis for classifying, organic compounds. Organic compounds are, broadly classified in two ways, on the basis of, (i) carbon skeleton and (ii) functional group., , H, H, , H, , (II), , (I), , Fig 14.3 : Newman projection formula of, ethane, , IV. Sawhorse or andiron or perspective, formula : In this representation a C-C single, bond is represented by a long slanting line., The lower end of the line represents the front, carbn and the upper end the rear carbon. The, remaining three bonds at the two carbons are, shown to radiate from the respective carbons., (As the central C-C bond is drawn rather, elongated the bonds radiating from the front, and rear carbons do not intermingle.) Figure, 14.4 shows two sawhorse (i.e. andiron or, pesrpective) formulae for ethane., H, H, H, H, H, H, H, H, H, H, H, H, (I), , (II), , Do you know ?, Molecular models (Fig 14.5) are used for, an easier visualisation of three dimensional, shapes of organic molecules. Three types, of molecular models are common., i. Frame work model : It emphasizes the, skeletal pattern of bonds ignoring size of, atoms., ii. Ball and stick model : In this model a, ball represents an atom and stick a bond., iii. Space filling model : It emphasizes, on relative size of each atom. Bonds are, not shown. It conveys volume occupied by, each atom in the molecule., Now a days computer graphics can be, used for molecular modeling., , (a) Framework model, , Fig. 14.4 : Sawhorse formula of ethane, , Try this, Draw two Newman projection, formulae and two sawhorse formulae for, the propane molecule., , (b) Ball and stick model, , (c) Space filling model, , Fig. 14.5 Molecular models, , 206

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Organic compounds, Acyclic/Aliphatic (open chain), , Cyclic (closed chain), , Heterocyclic, , Homocyclic (carbocyclic), Alicyclic, , Aromatic, , Heterocyclic, Non - Aromatic, , Heterocyclic Aromatic, Non-benzenoid aromatic, , Benzenoid aromatic, , Fig 14.6 : Tree of classification of organic compounds, , 14.3.1 Classification based on carbon, skeleton, Try this, Construct a model of propane (C3H8), molecule. Which atoms are on the surface, of the molecule ? Which atoms lie in the, core of the molecule ?, The carbon atoms bonded to each, other lie in the core of an organic molecule, and are described as the carbon skeleton, of the molecule. It is the carbon skeleton of, a molecule that decides its shape and size., A variety of carbon skeleton are found in, different organic compounds and accordingly, they are classified into various types as shown, in Fig. 14.6, Acyclic or open chain compounds : These, are also known as aliphatic compounds., Molecules of these compounds have chains of, carbon atoms. These may be straight chains, formed by carbon atoms bonded to one or, two other carbons or branched chains having, at least one carbon bonded to three or four, other carbons. Table 14.2 shows examples of, acyclic compounds., , Cyclic compounds : These are compounds in, which molecules are formed by joining atoms, to form ring like structures., The compounds in which the ring is made, of only carbon atoms are known as homocyclic, or carbocyclic compounds. Carbon is an, essential atom in any organic molecule. One, or more hydrogen atoms are present in most, of the organic molecules. All the other atoms, that are found in organic molecules are called, heteroatoms. The cyclic compounds in which, the ring includes one or more heteroatoms, (oxygen, nitrogen, sulphur etc.) are known as, heterocyclic compounds., Try this, , Cyclohexene, (a), , Benzene, (d), , propane, , CH3- CH2 - CH2 - OH, , n - propyl alcohol, straight chain, , CH3- CH - CH3, CH3, , isobutane, Branched chain, , Piperidine, (b), , Cyclopentane, (c), , N, H, , Pyrrole, (e), , i. Observe the compounds (a) to (e), ii. Identify the compounds those contain a, ring of carbon atoms only., iii. Identify the compounds in which ring, contains at least one atom other than, carbon., , Table 14.2 : Acyclic/Aliphatic compounds, , CH3- CH2 - CH3, , N, H, , Alicyclic compounds : These are cyclic, compounds exhibiting properties similar to, those of aliphatic compounds. For example :, Cyclobutane, cyclohexene. See Fig. 14.7., , 207

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Aromatic, compounds, :, Aromatic, compounds have special stability. Aromatic, compounds containing benzene ring are, known as benzenoid aromatics while those, not containing benzene ring are called nonbenzenoid aromatics. For example : benzene,, tropone. See Fig. 14.7, , Cyclobutane, Cyclohexene, (a) Alicyclic compound, , OH, , Naphthalene, , Tropone, , Phenol, , (b) Benzenoid Aromatic, compounds, , (c) Non benzenoid, Aromatic compounds, , Fig. 14.7 : Carbocyclic compounds, , Figure 14.8 illustrates some heterocyclic, compounds, Heterocyclic aromatic compounds, , S, , O, , N, H, , N, , Furan, Thiophene, Pyridine, Pyrrole, Heterocyclic non-aromatic compounds, , O, Tetrahydrofuran, (THF), , N, H, Piperidine, , O, 4H - Pyran, , Fig. 14.8 : Heterocyclic compounds, , 14.3.2 Classification based on functional, group :, , A part of an organic molecule which, undergoes change as a result of a reaction, is called functional group. In the above, illustration, OH is the functional group present, in propanol. Inspection of structures of various, organic compounds tells us that there are a large, variety of functional groups present in them., The second method of classification of organic, compounds is based on the nature of functional, group present. The resulting individual class, is called a family named after the constituent, functional group. For example: family of, alcohols, family of halogen derivatives., Table 14.3 shows some common functional, groups with their names, bond structures and, examples., Homologous series : A family of functional, group, in turn, comprises different homologous, series. A series of compounds of the same, family in which each member has the same, type of carbon skeleton and functional group,, and differs from the next member by a constant, difference of one methylene group (− CH2 −) in, its molecular and structural formula is called, as homologous series. An individual member, of a homologous series is called homologue., All the members, or homologues of such series, are represented by the same general formula., The members of a particular homologous, series possess similar chemical properties those, very gradually in their physical properties, namely, melting point, boiling point, density,, solubility, etc. Table 14.4 illustrates this with, the help of homologous series of straight chain, aldehydes having general formula CnH2nO ., , Do you know ?, Can you tell?, Consider the following reaction :, 2CH3 - CH2 - CH2 - OH + 2Na, 2CH3 - CH2 - CH2 - ONa + H2, Compare the structure of the substrate propanol, with that of the product sodium propoxide., Which part of the substrate, the carbon skeleton, or the OH group has undergone a change during, the reaction ?, , • Aliphatic compounds are named so, because of their attraction towards fats., • Aromatic compounds are named so, because some of these compounds, discovered in early 19th century, possessed aroma., , 208

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Problem 14.1 : Alkanes constitute a, homologous series of straight chain saturated, hydrocarbons. Write down the structural, formulae of the first five homologues of, this series. Write their molecular formulae, and deduce the general formula of such, homologous series., Solution :, The first five homologues are generated by, adding one - CH2 - at a time, starting with, the first homologue CH4., CH4, , add - CH2 -, , 1st homologue, , Remember, The saturated (sp3) carbons in a molecule, are labelled as primary, secondary, tertiary, and quaternary in accordance with the, number of other carbons bonded to it by, single bonds., • Primary carbon (10) is bonded to only, one other carbon. For example: both, the carbons in ethane CH3-CH3., • Secondary carbon (20) is bonded, to two other carbons. For example:, the middle carbon in propane, CH3-CH2-CH3, • Tertiary Carbon (30) is bonded to, three other carbons. For example:, the middle carbon in isobutane, CH3CH(CH3)2., • Quaternary Carbon (40) in bonded to, four other carbons. For example: the, middle carbon in neo-pentane C(CH3)4, , add - CH2 -, , CH3 - CH3, 2nd homologue, , CH3 - CH2 - CH3, 3rd homologue, add - CH2 -, , CH3 - CH2 - CH2 - CH3, , add - CH2 -, , 4th homologue, , CH3 - CH2 - CH2 - CH2 - CH3, 5th homologue, , By counting carbon and hydrogen atoms in, the five homologues we get their molecular, formulae as CH4, C2H6, C3H8, C4H10, and C5H12. Comparing these molecular, formulae, the following general formula is, deduced : Cn H2n+2 ., Problem 14.2 : Write down structural, formulae of (a) the third higher and (b) the, second lower homologue of CH3CH2COOH., Solution :, a. structural formula of the third higher, homologue is obtained by adding three −, CH2 − units to the carbon chain of given, structure., add three, CH3 - CH2- COOH − CH2 − units, CH3 - CH2- CH2-CH2- CH2- COOH, third higher homologoue, b. structural formula of the second lower, homologue is obtained by removing two, − CH2 − units from the carbon chain of the, given structure., remove, two, − CH2 − units, , CH3 − CH2 − COOH, , 14.4 Nomenclature of organic compounds, 14.4.1 Common/trivial names, As organic chemistry developed, attempts, were made to devise a name for every organic, compound. These old names are now reffered, to as common / trivial names. Common name, of a compound usually has some history, behind and usually accepted on account of its, long usage. Though a systematic method of, nomenclature was developed later, common, names are still useful and in many cases can, not be avoided, particularly for commonly, used commercial organic compounds. Stem, names of certain common organic compounds, are given in Table 14.5., , H − COOH, , 210

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Table 14.4 : Homologous series of straight chain aldehydes, Condensed structural, Number of carbons Molecular, formula, formula CnH2nO, , Name, , Boiling, point, , Formaldehyde, , n=1, , CH2O, , O, H−C−H, , Acetaldehyde, , n=2, , C2H4O, , O, CH3 − C − H, , 210C, , Propionaldehyde, , n=3, , C3H6O, , O, CH3 − CH2 − C − H, , 48 0C, , Butyraldehyde, , n=4, , C4H8O, , O, CH3 − (CH2)2 − C − H, , 750C, , Valeraldehyde, , n=5, , C5H10O, , O, CH3 − (CH2)3 − C − H, , 1030C, , Table 14.5 : Trivial names of some organic, compounds, , Structural formula, , Common Name/, Trivial Name, , CH3 - CH2 - CH2 - CH3, , n - Butane, , CH3 - CH - CH3, CH3, , Isobutane, , C6H5NH2, , Aniline, , CH3 - CH - COOH, OH, , Lactic acid, , CHCl3, , Chloroform, , CH ≡ CH, , Acetylene, , C2H5 - O - C2H5, , Diethyl ether, , CH3COOH, , Acetic acid, , H - C -H, O, CH3 - CH - COOH, NH2, CH2 - CH - CH2, OH OH OH, , Formaldehyde, Glycine, Glycerol, , 14.4.2 IUPAC Nomenclature : With the rapidly, growing number of organic compounds with, increasingly complicated structures it becomes, difficult to name them. Some confusion, can be created when the same compound, is named differently. In due course of time, International Union of Pure and Applied, Chemistry (IUPAC) was founded (1919), , - 210C, , and a systematic method of nomenclature, for organic compounds was developed under, its banner. This system of nomenclature is, accepted and widely used all over the world, today. This system gives the unique name to, each organic compound., To arrive at the IUPAC name of, an organic compound, its structure is, considered to be made of three main parts :, parent hydrocarbon, branches and functional, groups. The IUPAC names of a compound, are obtained by modifying the name of its, parent hydrocarbon further incorporating, names of the branches and functional, groups as prefix and suffix. For doing this,, certain rules were formulated by IUPAC., We consider the IUPAC rules for naming, saturated and unsaturated hydrocarbons,, simple monocyclic hydrocarbons, simple, mono and polyfunctional compounds and, substituted benzenes in the following., 14.4.3 IUPAC names of straight chain, alkanes : The homologous series of straight, chain alkanes forms the parent hydrocarbon, part of the IUPAC names of aliphatic, compounds. The IUPAC name of a straight, chain alkane is derived from the number of, carbon atoms it contains. Table 14.6 gives the, list of the IUPAC names of first twenty straight, chain alkanes. It may be noted that the stem, names of first four members are accepted as, their IUPAC names., , 211

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3. The ending 'ane' of alkane is replaced by, 'ene' for an alkene and 'yne' for an alkyne., 4. Position of carbon atom from which, multiple bond starts is indicated by smaller, locant number of two multiply bonded carbons, before the ending 'ene' or 'yne' For example :, CH3 - CH2 - CH = CH2 HC ≡ C - CH2 - CH3, but-1-ene, but-1-yne, 5. If the multiple bond is equidistant from both, the ends of a selected chain then carbon atoms, are numbered from that end which is nearer to, first branching. For example :, 1, , 2, , 3, , 1, , 2, , 3, , 4, , 5, , 6, , CH3 -CH - CH = C - CH2 - CH3, CH3, CH3, 4, , 5, , 6, , CH3 -CH - C ≡ C - CH2 - CH3, CH3, 6. If the parent chain contains two double, bonds or two triple bonds, then it is named as, diene or diyne. In all these cases 'a' of 'ane', (alkane) is retained ., CH3 - CH = CH - CH = CH2, penta-1, 3-diene, , CH3 - C ≡ C − CH2 − C ≡ C − H, hexa - 1, 4 -diyne, , 7. If the parent chain contains both double and, triple bond, then carbon atoms are numbered, from that end where multiple bond is nearer., Such systems are named by putting 'en' ending, first followed by 'yne'. The number indicating, the location of multiple bond is placed before, the name., CH2= CH - C ≡ C − CH3, pent-1-en-3-yne, H - C ≡ C − CH2 − CH = CH2 − CH3, hex-4-en-1-yne, 8. If there is a tie between a double bond and, a triple bond, the double bond gets the lower, number., H - C ≡ C − CH2 − CH = CH2, pent-1-en-4-yne, 14.4.6 IUPAC Names of simple monocyclic, hydrocarbons : A saturated monocyclic, hydrocarbon is named by attaching prefix, 'cyclo' to the name of the corresponding open, chain alkane., , For example :, CH2, , , , CH2, , H2C, , Cyclopropane Cyclopentane, , An unsaturated monocyclic hydrocarbon, is named by substituting 'ene', 'yne' etc. for 'ane', in the name of corresponding cycloalkane., For example:, , Cyclohexene Cyclopentene, , If side chains are present then the above, discussed rules are applied. Numbering of the, ring carbon is started from a side chain. For, example :, 6, 1 C H , 1 2, 6, 5, , 4, , 2, , 3, , 5, , 2, , 4, , CH3, , 1 - ethyl - 3 - , methylcyclohexane, , 3, , 5, , 3 - ethyl - 1, 1 dimethylcyclohexane, , If alkyl groups contain greater number of, carbon atoms than the ring, the compound is, named as derivative of alkane. Ring is treated, as substituent. For example :, CH3 -CH2 - CH - CH2 - CH2 - CH3, 3 - cyclopropylhexane, , isopropylcyclohexane, , 14.4.7 IUPAC nomenclature of compounds, containing one or more functional groups :, The IUPAC names of compounds, containing one or more functional groups, include the names of the functional groups, as prefix and/ or suffix. Table 14.8 shows, how names of functional groups are modified, when included as prefix or suffix in the IUPAC, name. Some functional groups appear only, as prefixes and are shown in Table 14.9., (a and b), , 215

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Benzene ring can as well be considered, as substituent when it is attached to an alkane, with a functional group., 3, , 2, , 1, , CH2 - CH2 - CH2- Cl, , 1, , 6, , NH2, , 2, 3, , 5, 4, , Functional group, , CH3, , Cl, , NO2, , 2 - chloroaniline, (o - Chloroaniline), , Substituent, , 3 - nitrotoluene, (m - Nitrotoluene), , OH, , 1 - Chloro - 3 - phenylpropane, , CH2 - OH, , Functional group, , Br, 4 - Bromophenol, (p - bromophenol), , Substituent, Phenylmethanol (Benzyl alcohol), , O, Functional group, C CH3, Substituent, 1 - Phenylethanone (Acetophenone), , II. Disubstituted benzene derivatives :, Common names of the three possible, isomers of disubstitued benzene derivatives, are given using one of the prefixes ortho (o-),, meta (m-) or para (p-)., IUPAC system, however, uses numbering, instead of prefixes, o-, m-, or p-., Cl, Cl, 1, 6, Cl, 2, 3, , 5, 4, , Cl, , 1,2 - dichlorobenzene, (o - Dichlorobenzene), , III. Trisubstituted benzene derivatives :If, more than two substituents are attached to, benzene ring, numbers are used to indicate their, relative positions following the alphabetical, order and lowest locant rule. In some cases,, common name of benzene derivatives is taken, as parent compound. For example :, NO2, 5, 2, 1, Cl, Br 4, 6, 3, 1, , 3, , 2, , Br 4, 5, , 1,3 - dichlorobenzene, (m - Dichlorobenzene), , 6, , 1-bromo-4-iodobenzene, (p - Bromoiodobenzene), , 1, , 1, , 6, 5, , 4, , 2, 3, , NO2, , 3, , CH3, , CH3, , If two substituents are different, then they enter, in alphabetical order., I, 4, Cl, 3, 5, Br, , 2 CH, , 4, , 1 - chloro - 2, 4, -dinitrobenzene, , NO2, , 1,4 - dichlorobenzene, (p - Dichlorobenzene), , 1, , 3, , 5, , 4 - bromo - 1, 2, -dimethylbenzene, , Cl, , 6, , 6, , 1, 2, 4 - Tribromobenzene, , Cl, , 2, , Br, , Br, , Br, , NH2, , Br, , 2, 4, 6 tribromoaniline, , 1-chloro-3-nitrobenzene, (m - Chloronitrobenzene), , If one of the two groups gives special name to, the molecule then the compound is named as, derivative of that special compound., , 218, , Cl, , Cl, NO2, , 2 - chloro - 1 - methyl, - 4 - nitrobenzene, , Br, , NO2, , OH, , 2 - chloro - 4 nitrophenol, , Cl, , OCH3, CH3, , 2 - chloro - 4 methylanisole

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14.5 Isomerism, , Activity :, , O, , O, , C, , C, CH, H, CH3, 3 C2H5, i. ii., a. Observe the structural formulae (i) and, (ii), b. Find out their molecular formulae, c. What is the difference between them ?, d. What is the relation between the, two compounds represented by these, structural formulae ?, The phenomenon of existence of two, or more compounds possessing the same, molecular formula is known as isomerism., Such compounds are known as isomers of each, other. Two types of isomerism are observed in, the organic compounds, namely, structural, isomerism and stereoisomerism. When two, or more compounds have the same molecular, formula but different structural formulae, it, is called structural isomerism. On the other, hand, when different compounds have the, same structural formula but different relative, arrangement of groups / atoms in space, that, , is, different spatial arrangement of groups, / atoms it is called stereoisomerism. In this, chapter we are going to look at some details of, only structural isomerism., 14.5.1 Structural isomerism, We have seen in the begining of this, chapter that the structural formula describes, the sequence in which the constituent atoms, of a molecule are bonded and the nature of, the bonds between them. When two or more, compounds have same molecular formula, and different structural formula they are, said to be structural isomers of each other., The phenomenon is known as structural, isomerism. Structural isomerism is further, classified as chain isomerism, position, isomerism, functional group isomerism,, metamerism and tautomerism. Figure 14.9, shows various types of isomerism., a. Chain isomerism : When two or more, compounds have the same molecular formula, but different parent chain or different carbon, skeleton, it is refered to as chain isomerism, and such isomers are known as chain isomers., For example : Butane (CH3 - CH2 - CH2 - CH3), and 2-methylpropane [CH3 - CH(CH)3 -CH3], are chain isomers of each other as they have, different carbon skeletons and the same, molecular formula C4H10., , Isomerism, (Two or more compounds with same molecular formula), Stereoisomerism, (Two or more compounds with same, structural formula but different, spatial arrangement of groups), , Structural isomerism, (Two or more compounds with, same molecular formula but, different structural formula), , Geometrical isomerism, Chain isomerism, (different carbon, skeletons), , Position isomerism, (different positions of, the same functional, group on the same, skeleton), , Functional group, isomerism, (Functional groups, are different), , Fig. 14.9 : Types of isomerism, , 219, , Optical isomerism, Metamerism, (Unequal, distribution of, carbon atoms, on either side of, functional group), , Tautomerism, (rapidly, interconverting, structural, isomers)

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b. Position isomerism : The phenomenon in, which different compounds having the same, functional groups at different positions on the, parent chain is known as position isomerism., For example : But-2-ene [CH3 - CH = CH - CH3], and but-1-ene [CH2 = CH - CH2 - CH3] are, position isomers of each other as they have, the same molecular formula C4H8 and the, same carbon skeleton but the double bonds are, located at different positions., c. Functional group isomerism : The, phenomenon in which different compounds, with same molecular formula have different, functional groups is known as functional group, isomerism. For example : Dimethylether (CH3, − O − CH3) and ethyl alcohol (CH3 − CH2 −, OH) have same molecular formula C2H6O but, the former has ether (− O −) functional group, and the latter has alcohol (− OH) functional, group., d. Metamerism : Different compounds, with the same molecular formula and the, same functional group, but having unequal, distribution of carbon atoms on either side of the, functional group is refered to as metamerism, and the isomers are known as metamers. For, example : Ethoxyethane (CH3 − CH2 − O −, CH2 − CH3) and methoxypropane (CH3 − O −, CH2 − CH2 − CH3) have the same molecular, formula C4H10O and the same functional group, ether but have different distribution of carbon, atoms attached to etheral oxygen. These are, metamers of each other., e. Tautomerism : Same compounds exists, as mixture of two or more stucturally distinct, molecules which are in rapid equilibrium with, each other. This phenomenon is referred to as, tautomerism. Such interconverting isomers are, called tautomers. In nearly all the cases, it is the, proton which shifts from one atom to another, atom in the molecule to form its tautomer., α, , −C−C−, H O, , −C=C−, O−H, , Keto form , , Enol form, , For example : Keto-enol tautomerism is very, common form of tautomerism. It is found in, carbonyl compounds. Here a hydrogen atom, shifts reversibly from the α - carbon of the keto, form to oxygen atom of the enol., 14.6 Theoretical basis of organic reactions :, All the organic molecules primarily, contain various types of covalent bonds, between the constituents atoms. During an, organic reaction, molecules of the reactant, undergo change in their structure. A covalent, bond at a carbon atom in the reactant is broken, and a new covalent bond is formed at it, giving, rise to the product. Often this change is brought, about by means of another reactant. The, reactant that provides carbon to the new bond, is called substrate. The other reactant which, brings about this change is called reagent. In, case both the reactants provide carbon atoms, to a new bond, the reactant considered is called, substrate. Apart from the product of interest, some other products are formed in a reaction., These are called byproducts. For example :, CH4 + Cl2 hν CH3Cl + HCl, substrate reagent, , product, , byproduct, , Covalent bonds are made of valence electrons, of the constituent atoms. Redistribution of, valence electrons of constituent atoms results in, the bond breaking or bond forming processes, along the organic reaction; and which are, usually not instantaneous. As a result, the, overall organic reaction is punctuated by, formation of one or more unstable species, called intermediates. Overall the organic, reaction is often a multi-step process., A sequential account of (i) the electron, movement taking place during each step (ii), the bond cleavage and/or bond formation (iii), accompanying changes in energy and shapes, of various species and (iv) rate of the overall, reaction. The individual steps, constitue, the reaction mechanism. The knowledge, of mechanism of a reaction is useful for, understanding the reactivity of the concerned, organic compounds and, in turn, helpful for, planning synthetic strategies., , 220

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In the following subsection we are going, to look at the types of bond cleavage, types, of reagents, the factors that influence stability, of various species involved and representation, of electron movement occuring during organic, reactions., 14.6.1 Types of cleavage of covalent bond, A covalent bond can undergo cleavage or, fission in two ways (i) Homolytic cleavage,, (ii) Heterolytic cleavage, A covalent bond comprises two electrons, (bond pair of electrons) shared between the, two bonded atoms. In homolytic cleavage of a, covalent bond one of the two electrons goes to, one of the bonded atoms and the other is bound, to the other. Movement of a single electron is, represented by a half headed curved arrow or, fish hook (, ). The tail of the curved arrow, indicates the place from where the electron is, removed while the head of the curved arrow, indicates the place where the electron reaches, as the result of the movement. Such homolytic, cleavage of a covalent bond gives rise to, two neutral species carrying one unpaired, electron each. A species with single unpaired, electron is called ‘free radical’ or sometimes, just ‘radical’. A free radical is unstable and, thereby a reactive species, having a tendency, to seek an electron for pairing. A homolytic, cleavage, thus, is represented as :, •, , •, , A, B, A+B, , For example,, H3C, , Cl, , hν, , •, , •, , H3C + Cl, , Chlorine, methyl, radical, or, free, chlorine, atom, radical, , Homolytic fission is favoured in the, presence of ultravoilet radiation or suitable, peroxides or at high temperatures. The, organic reactions which proceed by homolytic, fission are known as free radical or nonpolar reactions. Free radicals have only, transitory existence. These are formed as, reaction intermediate which subsequently, react with another radical/molecule to restore, , stable bonding pair. A carbon free radical is, sp2 hybridized and reveals planar trigonal, geometry., pz orbital, H, , C, , H, , H, , Shape of methyl free radical, , Alkyl free radicals are classified as, primary (10), secondary (20) and tertiary (30)., The observed stability order of alkyl free, radicals is :, CH3, CH3, , C •, , •, , CH3, , CH, , CH3, , CH3, tert-butyl free radical, (3ο), CH3, , •, , isopropyl free radical, (2ο), •, , CH3, , CH3, , ethyl free radical, methyl free radical, ο, (1 ), In heterolytic cleavage of covalent bond, both shared electrons go to one of the two, bonded atoms. This turns out to be the more, electronegative atom of the two. Movement, of an electron pair is represented by a, curved arrow (, ). Heterolytic cleavage of, a covalent bond gives rise to two charged, species, one with negative charge and the other, with positive charge. The negatively charged, (anionic) species has the more electronegative, atom which has taken away the shared pair, of electron with it. A heterolytic cleavage is, represented as :, A, , B, , A⊕, , cation, , + B, anion, , (B is more electronegative than A), , 221

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1. What is meant by ‘reagent’ ?, 2. Identify the ‘reagent’, ‘substrate’,, ‘product’ and ‘byproduct’ in the following, reaction., CH3 COCl + NH3, CH3 CONH2 + HCl, The polar organic reactions are brought, about by two types of reagents. Depending, upon their ability to accept or donate electrons, from or to the substrate, reagents are classified, as (i) Electrophiles (E⊕) (ii) Nucleophiles (Nu:), Electrophiles (meaning electron loving, spicies) accept electrons from the substrate., Thus electrophiles are electron seeking, species. This is because they themselves are, electron deficient. For example ; a positively, charged ion such as Br,⊕CH3 or a neutral, species having a vacant orbitals such as AlCl3., Nucleophiles (nucleus seeking species), give away electrons to the substrate. This is, because nucleophiles are electron rich species., For example : negatively charged species such, as OH or neutral species such as H2O, having, lone pair of electrons., Problem 14.5 : Identify the nucleophile, and electrophile from NH3 and CH3⊕. Also, indicate the nucleophilic and electrophilic, centres in them. Justify., Solution : The structural formulae of two, reagents showing all the valence electrons, are :, ⊕, and, H-C-H, H-N-H, H, H, Thus NH3 contains N with a lone pair of, electrons which can be given away to another, species. Therefore NH3 is a nucleophile and, ‘N’ in it is the nucleophilic centre. The CH3⊕, is a positively charged electron deficient, species having a vacant orbital on the, carbon. It is an electrophile. The ‘C’ in it is, the electrophilic centre., , NH3 + BF3, , ⊕, , H3N -BF3, :, , Can you recall?, , A polyatomic electrophile has an electron, deficient atom in it called the electrophilic, centre, while a polyatomic nucleophile has an, electron rich atom in it is called the nucleophilic, centre. For example : the electrophilic centre, of the electrophile AlCl3 is Al which has only, 6 valence electrons. The nucleophilic centre of, the nucleophile H2O is ‘O’ which has two lone, pairs of electrons., A nucleophile attacks the electrophilic, centre in the substrate and brings about a, nucleophilic reaction. On the other hand an, electrophile attacks a nucleophilic centre in, the substrate and brings about an electrophilic, reaction. This principle is illustrated in the, following simple reaction though, it is not an, organic reaction., :, , 14.6.2 Types of reagent, , Here the nucleophilic centre N in the, nucleophile NH3 attacks the electrophilic, centre ‘B’ in the electrophile BF3 and gives the, product., 14.6.3 Electronic effects in organic reaction, We noted earlier that in polar organic, reactions the nucleophilic centre in a, nucleophile attacks the electrophilic centre in, the substrate whereas the electrophilic centre, in an electrophile attacks the nucleophilic, centre in the substrate. How electrophilic, or nucleophilic centre generated in a, neutral substrate ? This happens because, of displacement of valence electrons within, some organic molecules, which results in their, polarization. The displacement of valence, electrons resulting in polarization of an, organic molecule is called electronic effect., The electronic effect that occurs in the ground, state is permanent effect. This takes place, due to influence of certain atom or substituent, or certain structural feature present in the, molecule. Inductive effect and resonance, effect are two examples of permanent, electronic effect., , 223

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On the other hand the electron, displacement effect occuring in a substrate, due to approach of the attacking reagent is a, temporary effect. This type of electronic effect, is called electromeric effect or polarisability, effect. We consider various types of electronic, effects in the following sections., 14.6.4 Inductive effect, , •, , •, , How is covalent bond formed between, two atoms ?, Consider two covalently bonded atoms, Q and R where R is more electronegative, than Q. Will these atoms share the, electron pair equally between them ?, Represent the above polar covalent, bond between Q and R using fractional, ⊕, charges δ and δ - ., , We learnt earlier that covalent bond, between two atoms differing in their, electronegativity is polar covalent bond. For, example : the covalent bond between carbon, and more electronegative chlorine is a polar, covalent bond. When an organic molecule, has a polar covalent bond in its structure,, polarity is induced in adjacent carboncarbon single bonds too. This is called, inductive effect. Consider, for example, the, chloroethane molecule :, 2, , 2, , CH3, , Can you recall?, •, , more towards itself. As a result a part of partial, positive charge produced on C1 is transfered, to C2. This results in developing a still smaller, positive charge on C2. In other words, the, electron density gets displaced towards the, chlorine atom not only along the C1 - Cl bond,, but also along the C2 - C1 bond due to the, inductive effect of Cl. This is represented as :, , 1, , CH3 - CH2 - Cl, In this molecule a positive polarity is, developed on C2 by inductive effect of the Cl, atom bonded to C1. Normally the C2 - Cl bond, would not be expected to be polar as it is a, covalent bond between two atoms of the same, element carbon. Yet this bond aquires some, polarity, because of the presence of chlorine, atom in the molecule. Chlorine being more, electronegative than carbon, the C1 - Cl bond, is a polar covalent bond with partial negative, charge on Cl and equal amount of partial, positive charge on Cl. As the C1 is further, bonded to C2, the positive polarity of C1 pulls, the shared pair of electrons of the C2 - Cl bond, , 1, , CH2, Cl, The arrow head put in the centre of the, bond is used to represent the inductive effect., The direction of the arrow head indicates, the direction of the permanent electron, displacement taken place along the sigma, bond in the ground state., Inductive effect of an influencing group, is transfered to subsequent carbon atoms, along the chain of C - C bonds, as it decreases, rapidly as the number of intervening C - C, bonds increases and becomes negligibly small, beyond three bonds. This can be represented as, δ3⊕, , δ2⊕, , δ1⊕, , δ, , CH3 - CH2, CH2, CH2, Cl, Where δ3⊕ < δ2⊕ < δ1⊕, The direction of the inductive effect of a, bonded group depends upon whether electron, density of the bond is withdrawn from the, bonded carbon or donated by the bonded, carbon. According to this ability the groups, substituents are classified as either electron, withdrawing (accepting) or electron donating, (releasing) groups with respect to hydrogen., In the above example, electron, displacement takes place towards chlorine., This means that Cl withdraws electron, density from the carbon chain and is electron, withdrawing. Chlorine is said to exert an, electron withdrawing inductive effect or, negative inductive effect (-I effect) on the, carbon chain. Some other groups having - I, effect are - NO2 (nitro), - CN (cyano), - COOH, (carboxy), - COOR (ester), - OAr (aryloxy)., , 224

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On the other hand alkyl groups (-CH3,, -CH2-CH3) are considered as groups, exerting electron releasing inductive effect, (+I effect) on the carbon chain., , The cyclic structure of benzene, incorporating three alternating C-C single, bonds and C=C double bonds implies two, distinct bond length of 154 pm and 133 pm, respectively (refer to Table 5.2 and see Fig., 14.10). Experimental measurements show, that benezene has a regular hexagonal shape, and all the six carbon bonds, have the same, bond length of 138 pm which is intermediate, between C-C single bond and C=C double, bond. This means that all the six carbon carbon, bonds in benzene are equivalent, unlike what, appears from the single Lewis structure., , 1. Draw a bond line structure of benzene, (C6H6), 2. How many C - C and C = C bonds are, there in this structure ?, 3. Write down the expected values of the, bond lengths of the carbon carbon bonds, in benzene (refer to Table 5.7)., , 154, , pm, , 138, , 133, , pm, , 138, , pm, , 13, , pm, , 138 pm, , Try this, , pm, , 133, , 133 pm, , 14.6.5 Resonance structures, , 154, , 154 pm, , Problem 14.7 :Which of the CH3 - CHCl2, and CH3CH2Cl is expected to have stronger, -I effect ?, Solution : The group exerting -I effect in, CH3CH2Cl is one - Cl while in CH3 - CHCl2, there are two - Cl atoms. Therefore CH3 CHCl2 is expected to have strong -I effect., , Benzene, , pm, , 138 pm, , Problem 14.6 : Consider the following, molecules and answer the questions,, CH3- CH2- CH2- Cl, CH3- CH2- CH2- Br,, CH3- CH2- CH2- I., (i) What type of inductive effect is expected, to operate in these molecules ?, (ii) Identify the molecules from these, three, having the strongest and the weakest, inductive effect., Solution : (i) The groups responsible, for inductive effect in these molecules, are -Cl, -Br and -I, respectively. All, these are halogen atoms which are more, electronegative than carbon and therefore, all of them exert - I effect, that is, electron, withdrawing inductive effect., (ii) The - I effect of halogens is due to their, electronegativity. A decreasing order of, electronegativity in these halogens follows, Cl > Br > I. Therefore the strongest -I, effect is expected in CH3 - CH2 - CH2 - Cl,, while the weakest -I effect is expected for, CH3- CH2- CH2- I., , pm, , Expectation, (two different, bondlengths), , 138, , m, , 8p, , Observation, (all bond lengths equal), , Fig 14.10 Structure of Benzene, , Can you recall?, •, •, •, , Write down two Lewis structures for, ozone. (Refer to chapter 5), How are these two Lewis structures, related to each other ?, What are these two Lewis strucutres, called ?, , When Lewis structure of a compound has, two or more multiple bonds alternating with, single bonds, it is called a conjugated system, of π bonds. In such a system or in species, having an atom carrying p orbital attached to a, multiple bond, resonance theory is applicable., We understand the following points from, the resonance theory :, (i) The π electrons in conjugated system of π, bonds are not localized to a particular π, bond., , 225

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(ii) For a compound having a conjugated, system of π bonds (or similar other, systems) two or more Lewis structures, are written by showing movement of, π electrons (that is delocalization of π, electrons) using curved arrows., The Lewis structures so generated, are linked by double headed arrow, and are called resonance strucutres or, contributing structures or cononical, structures of the species. Thus, two, resonance structures can be drawn for, benzene by delocalizing or shifting the π, electrons :, 1, 6, 5, , 4, , 1, 2, , 6, , 3, , 5, , 2, 4, , 3, , Resonance hybrid of, structures I and II, , (v) Hypothetical energy of an individual, resonance structure can be calculated, using bond energy values. The energy, of actual molecule is, however, lower, than that of any one of the resonance, structures. In other words, resonance, hybrid is more stable than any of the, resonance structures. The difference in the, actual energy and the lowest calculated, energy of a resonance structure is called, resonance stabilization energy or just, resonance energy. Thus, resonance leads, to stabilization of the actual molecule., , I II, , (iii) The positions of the carbon atoms, in the conjugated system of π bonds, remain unchanged, but the positions, of π electrons are different in different, resonance structures. For example, in the, resonance structure I of benzene there is, a single bond between C1 and C2 while, in the resonance structure II there is a, double bond between C1 and C2., (iv) Any resonance structure is hypothetical, and does not by itself represent any, real molecule and can explain all the, properties of the compound. The real, molecule has, however, character of all, the resonance structures those can be, written. The real or actual molecule is, said to be the resonance hybrid of all, the resonance structures. For example, an actual benezene molecule is the, resonance hybrid of structures I and, II and exhibit character of both these, structures. Its approximate representation, can be shown as a dotted circle inscribed, in a regular hexagon. Thus each carbon, carbon bond in benzene has single as, well as double bond character and the, ring has a regular hexagonal shape., , Problem 14.8 : Identify the species that, contains a conjugated system of π bonds., Explain your answer., CH2 = CH - CH2 - CH = CH2, I, CH2 = CH - CH = CH - CH3, II, Solution : I Does not contain conjugated, system of π bonds, as the two C = C double, bonds are separated by two C - C single, bonds., II Contains a conjugated system of π, bonds, as the two C = C double bonds are, saparated by only one C - C single bond., Rules to be followed for writing resonance, structure :, (i) Resonance structures can be written only, when all the atoms involved in the π, conjugated system lie in the same place., (ii) All the resonance structures must have, the same number of unpaired electrons., (iii) Resonance structures contribute to, the resonance hybrid in accordance to, their energy or stability. More stable, (having low energy) resonance structures, contribute to largely and thus are, important., , 226

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Thus, between the compared resonance structures, that resonance structure is more stable, and therefore important which has (a) more number of covalent bonds, (b) more number of atoms, with complete octet or duplet, (c) less separation, if any, of opposite charges, (d) negative charge,, if any, on more electronegative atom and positive charge, if any, on more electropositive atom, and (e) more dispersal of charge., Problem 14.9 : Write resonance structures, of H - COO - and comment on their relative, stability., Solution : First the detailed bond structure, of H - COO - showing all the valence electron, is drawn and then other resonance strucutres, are generated using curved arrow to show, movement of π-electrons. Two resonance, structures are written for H - COO - ., O, O, H-C-O, H-C=O, I, , Remember, When all the resonance structures of, a species are equivalent to each other, the, species is highly resonance stabilized. For, example, R - COO , CO32, , Problem 14.11 : Write three resonance, structures for CH3-CH = CH-CHO. Indicate, their relative stabilties and explain., , O, , II, , CH3 - CH = CH - C -H, , Both the resonance structures I and II are, equivalent to each other, and therefore, are, equally stable., , I, , O, , ⊕, CH3 - CH - CH = C- H, , O, , ⊕, , II, , Problem 14.10 : Identify the species which, has resonance stabilization. Justify your, answer., (i) CH3 - O - H (ii) CH3 - NO2, (iii) buta - 1, 3 - diene, Solution :, (i) The bond structure shows that there is, no π bond. Therefore no resonance and no, resonance stabilization., (ii), O, O, CH3 - ⊕N O, CH3 -⊕N, O, , CH3 - CH - CH = C- H, III, , Stabilty order : I > II > III, I : Contains more number of covalent bonds,, each carbon atom and oxygen atom has, complete octet, and involves no separation, of opposite charges. Therefore the most, stable resonance structure., II : Contains one covalent bond less than, ⊕, in I, one carbon (C ) has only 6 valence, electrons, involves separation of opposite, charges; the resonance structure II has -ve, charge on more electronegative ‘O’ and +ve, charge on more electroposoitve ‘C’. It has, intermediate stability., III : Contains one covalent bond less than, in I, oxygen has only 6 valence electrons,, involves separation of opposite charge , has, -ve charge on the more electropositive ‘C’, and +ve charge on more electronegative, ‘O’. All these factors are unfavourable for, stability. Therefore it is the least stable., , N= O double bond is attached to ‘O’ which, carries lone pair of electrons in a p orbital., Therefore resonance strucutres can be, written and species is resonance stabilized., (iii) CH2 = CH - CH = CH2, ⊕, , CH2 - CH = CH - CH2, The Lewis structure shows two C=C, double bonds alternating with a C-C single, bond. Therefore resonance structures can, be written as shown, and the species is, resonance stabilized., , 227

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14.6.6 Resonance Effect : The existence of, resonance often results in developing polarity, in a molecule. The polarity produced in, the molecule by the interaction between, conjugated p bonds (or that between π bond, and p orbital on attached atom) is called, the resonance effect or mesomeric effect., The effect is transmitted through a chain, of conjugated π bonds. There are two types, of resonance effects (or mesomeric effect), designated as positive resonance effect (+R or, +M) and negative resonance effect (-R or -M)., Positive resonance effect or electron, donating / releasing resonance effect (+ R, effect) : If the substituent group has a lone, pair of electrons to donate to the attached π, bond or cojugated system of π bonds, the, effect is called +R effect. Group such as - OH,, - OR, - O , - NHR, - halogen, etc. having lone, pair of electrons show +R effect. The +R effect, increases electron density at certain positions, in a molecule. Figure 14.11 shows how the +R, effect in aniline increases the electron density, at ortho and para positions., ⊕, , NH2, , .., , NH2, , ⊕, , NH2, , ⊕, , NH2, , o, , o, m, p, , m, , Fig. 14.11 : +R effect in aniline, , Negative resonace effect or electron, withdrawing resonance effect (-R effect) :, If the substituent group has a tendency, to withdraw electrons from the attached π, bond or conjugated system of π bonds towards, itself, the effect is called -R effect. Group such, as -COOH, -CHO, -CO-, -CN, -NO2, - COOR,, etc. show -R effect. The -R effect results, in developing a positive polarity at certain, positions in a molecule. Figure 14.12 shows, how -R effect in nitrobenzene develops positive, polarity at the ortho and para positions., , O, , ⊕, , N, , O, , O, , ⊕, , N, , O, , O, , ⊕, , N, , O, , O, , ⊕, , ⊕, , N, , O, , ⊕, ⊕, , Fig. 14.12 : -R effect in aniline, , 14.6.7 Electromeric effect : This is a, temporary electronic effect exhibited by, multiple-bonded groups in the excited state, in the presence of a reagent. When a reagent, approaches a multiple bond, the electron pair, gets completely shifted to one of the multiply, bonded atoms, giving a charged separated, structure. For example :, R, , R, , ⊕, , C=O+H, R, , Reagent, , C–OH, , R, , This effect is temporary and disappears, when the reagent is removed from the reacting, system., 14.6.8 Hyperconjugation :, Hyperconjugation is a permanent, electronic effect explains stability of a, carbocation, free radical or alkene. It is, delocalization of σ (sigma) electrons of a, C - H bond of an alkyl group directly, attached to a carbon atom which is part, of an unsaturated system or has an empty, p- orbital or a p - orbital with an unpaired, electron (see Fig. 14.13)., H, - C - C⊕ (I), , H, - C - C= C, , H, - C - C-, , (II), , (III), , Fig. 14.13 Species stabilized by, hyperconjugation, ⊕, , Let us consider ethyl cation (CH3CH2 )., Here the positively charged carbon atom with, an empty p -orbital has an adjacent methyl, group, that is an α - (alpha) methyl group. One, of the C-H bonds of this α methyl group is in, allignment with the empty p-orbital. The σ, electrons of this C-H bond or delocalized into, the empty p -orbital and thereby stabilize the, cation (see Fig. 14.14)., , 228

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H, , Let us now look at propene which has a, methyl group attached to C = C. Delocalization, of electrons by hyperconjugation in propene, can be depicted as shown., , empty p-orbital, , H, , H, , H, , H H H, H-C-C=C-H, H, , H, , Fig. 14.14 Hyperconjugation in ethyl, carbocation, , Hyperconjugation is, thus a, conjugation., H⊕, H, H, H- C = C - H, H- C - C⊕, H, H H, H, II, I, H, H, ⊕, , I, , H, H, H, , H C = C- H, H H, , H- C = C - H, ⊕H, H, , III, , IV, , ⊕, , ⊕, , II, , σ-π, , C, , ⊕, , C, , C, , H, , H, , H, , The contributing structures II, III and IV, involving delocalization of σ electrons of C-H, bond shows no covalent bond between carbon, and one of the α-hydrogens. Hyperconjugation, is, therefore, called ‘no bond resonance’., More the number of such α-hydrogens (that, is, hydrogen on the α- carbon), more are the, no bond resonance structures and more is the, stability. The relative stability of carbocations,, therefore decreases in the order :, ⊕, , H H H, H-C=C-C-H, ⊕, H, , Fig. 14.15 : shows the orbital diagram of, hyperconjugation in propene, , H⊕, , H H H, C=C-C-H, H, III, , ⊕, , H, H, H - C = C- C -H, H, H, IV, , Figure 14.15 shows the orbital diagram of, hyperconjugation in propene., The effect of hyperconjugation is usually, stronger than inductive effect., , CH3 - C- CH3 > CH3 - CH- CH3 > CH3 - CH2 > CH3, CH3, , Internet my friend, 1. Basic principles of organic chemistry, https://authors.library.caltech.edu/25034, 2. Collect information about Isomerism, , 229

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Exercises, 1. Answer the following :, A. Write condensed formulae and bond line, formulae for the following structures., H H H H, a. H - C - C - C - C - H, H H H H, H H, b. N ≡ C - C - C - C ≡ N, H H, , F. Find out all the functional groups present in, the following polyfunctional compounds., a. Dopamine a neurotransmitter that is, deficient in Parkinson's disease., HO, HO, , CH2- CH2 - CH2, , b. Thyroxine the principal thyroid hormone., I, HO, , H H H, O, c. H - C - C - C - C, OH, H H H, B. Write dash formulae for the following, bond line formulae., O, a., b., c., , , , d., , I, , c. Penicillin G a naturally occuring antibiotic, CH2 - C - NH, O, O, , S, N, , D. Write the structural formulae for the, following names and also write correct, IUPAC names for them., a. 5-ethyl-3-methylheptane, b. 2,4,5-trimethylthexane, c. 2,2,3-trimethylpentan-4-0l, E. Identify more favourable resonance, structure from the following. Justify., , C, , CH3, CH3, , COOH, , OH, , C. Write bond line formulae and condensed, formulae for the following compounds, a. 3-methyloctane, b. hept-2-ene, c. 2, 2, 4, 4- tetramethylpentane, d. octa-1,4-diene, e. methoxyethane, , O, a. CH3 - C - OH, b., O, ⊕, CH2 - CH = C - H, , CH2- CH - COOH, NH2, , O, , G. Find out the most stable species from the, following. Justify., a. CH3, CH3 - CH - CH3, CH3 - C - CH3, CH3, b. CH3, CH2Br, CBr3, ⊕, , ⊕, , ⊕, , c. CH3, CH2Cl , CCl3, H. Identify the α - carbons in the following, species and give the total number of, α-hydrogen in each., ⊕, a. CH3 - CH2 - CH - CH2 - CH3, ⊕, , b. H3C - C - CH2 -CH3, , O, ⊕, CH3 - C = OH, c. CH2 = CH - CH2 - CH3, , O⊕, CH2 - CH = C - H, , 230

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11. Observe the following and answer the, questions given below, CH3 - CH3 U. V. light, CH3 + CH3, a. Name the reactive intermediae produced, b. Indicate the movement of electrons, by suitable arrow to produce this, intermediate, c. Comment on stability of this intermediate, produced., 12. An electronic displacement in a covalent, bond is represented by following noation., δ⊕, CH3, , δ⊕, CH2, , δ, Cl, , A. Identify the effect, B. Is the displacement of electrons in a, covalent bond temporary or permanent., 13. Draw all the no-bond resonance, structures of isopropyl carbocation., 14. A covalent bond in tert-butylbromide, breaks in a suitable polat solvent to, give ions., A. Name the anion produced by this, breaking of a covalent bond., B. Indicate the type of bond breaking in, this case, C. Comment on geometry of the cation, formed by such bond cleavage., 15. Choose correct options, A. Which of the following statements are true, with respect to electronic displacement in, covalent bond ?, a. Inductive effect operates through π bond, b. Resonance effect operates through σ, bond, c. Inductive effect operates through σ bond, d. Resonance effect operates through π, bond, i. a. and b , ii. a and c, iii. c and d , iv. b and c, B. Hyperconjugation involves overlap of ....., orbitals, a. σ - σ , b. σ -p, c. p - p , d. π - π, , C. Which type of isomerism is possible in, CH3CHCHCH3?, a. Position , b. Chain, c. Geometrical, d. Tautomerism, D. The correct IUPAC name of the compound, is ....., a. hept-3-ene, b. 2-ethylpent-2-ene, c. hex-3-ene, d. 3-methylhex-3-ene, E. The geometry of a carbocation is ......, a. linear b. planar, c. tetrahedral, d. octahedral, F. The homologous series of alcohols has, general molecular formula ........., a. CnH2n+1OH, b. CnH2n+2OH, c. CnH2n-2OH, c. CnH2nOH, G. The delocaalization of electrons due to, overlap between p-orbital and sigma bond, is called, a. Inductive effect, b. Electronic effect, c. Hyperconjugation, d. Resonance, , Activity :, Construct models of different types, of organic compounds. Explain each, compound in class., , 232

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15. Hydrocarbons, Can you recall?, 1. What are hydrocarbons?, 2. Write structural formulae of the, following compounds : propane, ethyne,, cyclobutane, ethene, benzene., The compounds which contains carbon, and hydrogen as the only elements are called, hydrocarbons., , Hydrocarbons can be open chain or, cyclic. In accordance with presence or absence, of carbon-carbon multiple bond (C=C and/ or, C ≡ C) the hydrocarbons are called unsaturated, or saturated. Cyclic unsaturated hydrocarbon, can be either aromatic or nonaromatic (Fig., 15.1)., , Hydrocarbon, Open chain (aliphatic), Saturated (alkane), Straight, chain, , Branched, chain, , Cyclic, , Unsaturated, (alkene, alkyne), Straight, chain, , Saturated (alicyclic), , Branched, chain, , Unsaturated, , Aromatic, , Nonaromatic, , Fig. 15.1 : Classification of hydrocarbon, , Do you know ?, , Internet my friend, , Why are alkanes called paraffins?, Alkanes contain only carbon-carbon and, carbon-hydrogen single covalent bonds., They are chemically less reactive and do, not have much affinity for other chemicals., Hence they are called paraffins., , Collect information about Hydrocarbon, , 15.1 Alkanes, Alkanes are aliphatic saturated, hydrocarbons containing carbon-carbon, and carbon-hydrogen single covalent bonds., You have learnt in Chapter 14 that alkanes, have general formula CnH2n+2 where 'n' stands, for the number of carbon atoms in the alkane, molecule., 15.1.1 Isomerism in alkanes, Alkanes with more than three carbon, atoms generally exhibit, structural isomerism, and in particular, the chain isomerism (refer, to section 14.5.1), , Figure 15.2 shows IUPAC and common, names of stuctural isomers of C4H10 and C5H12., The number of possible structural isomers, increases rapidly with the increase in the, number of carbon atoms. (See the Table 15.1)., , 233, , Table 15.1 : Alkanes and isomer number, Number of Alkane Number of isomers, Carbon, 1, Methane No structural isomer, 2, 3, 4, 5, 6, , Ethane, Propane, Butane, Pentane, Hexane, , No structural isomer, No structural isomer, Two, Three, Five

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H, , i., , C4H10, H H H, , Use your brain power, , H−C−C−C−C−H, H H H H, , 1. Write the structures of all the chain, isomers of the saturated hydrocarbon, containing six carbon atoms., 2. Write IUPAC names of all the above, structures, , Butane (n-Butane), , H, , ii., , H C H, H, H, H C C C H, H, , H, , The, resulting, arrangements, of, the, atoms, in, space, about, the, C - C single bond are called conformations., Innumerable conformations result on complete, rotation of a C - C single bond through 360°., In chapter 14 you have learnt about, isomerism. The phenomenon of existence of, conformation is a type of stereoisomerism. In, conformational isomerism the conformations, (or conformational isomers) interconvert, by rotation about a C - C single bond. Out of, infinite conformations of ethane molecule, two are extreme and called staggered and, eclipsed conformation. They are represented, by Sawhorse formula and Newman, projection formula as shown in Fig. 15.3., Conformational isomerism in other alkanes is, more complex., , H, , 2-Methylpropane (Isobutane), , C5H12, i., , H, , H, , H, , H H, , H−C−C−C−C−C−H, H H H H H, Pentane (n-Pentane ), CH3, , ii., , CH3 − CH − CH2 − CH3, , 2-Methylbutane (Isopentane ), iii. , , CH3, CH3 - C - CH3, CH3, , H, , 2,2-Dimethylpropane (Neopentane), , Fig. 15.2 : Structural isomers of butane and, pentane, , H, , 15.1.2 Conformations in alkanes : Alkanes, have only single bonded atoms. You have, learnt that a single covalent bond is formed by, coaxial overlap of orbital and is called sigma, (σ) bond (Refer to Chapter 5). As a direct, consequence of coaxial overlap of orbitals, a, sigma bond is cylindrically symmetrical and, the extent of orbital overlap is unaffected by, rotation about the single bond and therefore, C-C bonds undergo rotation. The atoms, bonded to one carbon of a C-C single bond, change their relative position with reference to, the atoms on the other carbon of that bond on, rotation of that C-C single bond., , 234, , H, , H, , H, H, , H, , H, , H, H, , H, H, , Staggered, Eclipsed, (a) Sawhorse formula, H, H, H, H, H, H, , HH, , H, , HH, H, Staggered, Eclipsed, (b) Newman Projection formula, Fig. 15.3 : Representation of staggered and, eclipsed conformation of ethanes

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15.1.3 Industrial preparation of alkanes, a. Industrial source : Crude petroleum and, natural gas are the source of alkanes. Dead, plants buried under earth billions of year ago, got converted into crude oil under the high, temperature and pressure conditions. The crude, oil collected in dome shaped cavities under the, earth surface, which we call oil wells. Alkanes, are obtained by fractional distillation of crude, oil in oil refineries., b. Methods of preparation of alkanes :, Can you recall?, •, •, , What is a catalyst ?, What is addition reaction ?, , Ethene, , H, , Pt or Pd (room temp.), or Ni, (high temp and, high pressure), , H H, H 3C - C = C - H + H, Propene, , H, , Pt or Pd, (room temp.), or Ni, (high temp and, high pressure), , Ethyene, , 2-Methylpropene+Hydrogen, , Zn , HCl, , Methyl, iodide, , H H, H3C- C - C - H, , H H, , Propane, , H H, H- C - C - H, Ethane, , CH3 - CH2 - Br + 2[ H ], Ethyl bromide, , CnH2n + H2, Or Ni (high temp.& high pressure), Alkene , Pt or Pd (room temp.), CnH2n-2 + H2 Or Ni (high temp.& high pressure), Alkyne , , CnH2n+2, , Zn , HCl, , Alkane, , 2 CH3 - CH3, , Nascent , , Ethane, , + HBr, b. By using reactive metal : In 19th century, alkyl halides were transformed to alkane, having double the number of carbons by Wurtz, coupling reaction using the reactive metal, sodium., CH3 - Br + 2Na + Br - CH3, , dry ether, , Later bettter methods using metals such as, Mg, Li were developed. Grignard reaction is, one of the new methods widely employed for, preparation of alkanes., Alkyl magnesium halides ( Grignard, reagent) are obtained by treating alkyl halides, with dry metal magnesium in the presence of, dry ether. These on treatment with water give, alkanes., R − X + Mg, , dry ether, , R−Mg−X + H−O−H, , R − Mg − X, , Alkyl magnesium halide, dry ether, , Alkane, , CnH2n+2, , + HI, , Methane, , Alkyl halide , Pt or Pd (room temp.), , CH4, , Nascent, , CH3 - CH3 + 2NaBr, , Ethane, , H H, , Isobutane, , a. By reduction of alkyl halides : Alkyl halides, on reduction with zinc and dilute hydrochloric, acid form alkanes. The reduction of alkyl, halides is due to nascent hydrogen obtained, from the reducing agent Zn and dilute HCl., , H H, , H Pt or Pd (room temp.), or Ni, (high temp and, high pressure), , catalyst, , 2. From alkyl halides, , H- C - C - H, , From alkynes, H-C≡C-H+2H, , Transform the following word equation into, balanced chemical equation and write at, least 3 changes that occur at molecular level, during this chemical change., , CH3 - I + 2 [ H ], , 1. From unsaturated hydrocarbons :, Catalytic hydrogenation of alkenes or alkynes, with dihydrogen gas gives corresponding, alkane. Finely divided powder of platinum (Pt), or palladium (Pd) catalyse the hydrogenation, of alkenes and alkynes at room temperature., Relatively high temperature and pressure, are required with finely divided nickel as the, catalyst., From alkenes, H H, H H, H-C=C-H+H, , Try this, , R − H + MgX(OH), Alkane, , CH3 - Mg - I + H - O - H, , dry ether, , CH3 - H + MgI(OH), , Methyl Methane, magnesium iodide , , 235

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H, Do you know ?, , H, , H, , H H, , H−C−C−C−C−C−H, H H H H H, , Prepartion of Grignard reagent is an, exothermic reaction. Hence no heating is, required. In this reaction :, i. Magnesium metal gradually diappears., ii. Magnesium atoms gets bonded to the, same carbon that previously held halogen., iii. Alkyl group remains as it is or intact, during the preparation grignard reagent., iv. Dry and inert conditions are to be, maintained during Grignard reaction to, prevent any reaction with moisture., , large surface area, , H, , H, , H, , H H, , CH3, H3C - C - CH3, CH3, , 15.1.4 Physical properties of alkanes, i. Polarity : The electronegativity of carbon, and hydrogen is nearly the same. C-H and, C-C bonds are non-polar covalent bonds and, alkanes are, thus, nonpolar. The forces which, hold non-polar molecules together are the van, der Waals forces. Those are usually weak., Larger the surface area of molecules, stronger, are such intermolecular van der Waals forces., The intermolecular forces are relatively, stronger in straight chain alkanes than in, branched alkanes (See Fig. 15.4)., Therefore straight chain alkanes have higher, melting and boiling points., , small surface area, , H−C−C−C−C−C−H, H H H H H, CH3, H3C - C - CH3, CH3, , Fig. 15.4 : Relative surface area of straight, chain and branched alkanes, , Branched alkanes have lower melting, and boiling points. Intermolecular forces are, overcome partly during melting process and, completely during boiling process. Table 15.2, shows the melting and boiling points of some, alkanes. Alkanes are colourless and odourless., At room temperature, the first four alkanes are, gases, next alkanes having 5 to 17 carbons are, liquids and carbons 18 onwards are solids., , Use your brain power, Why are alkanes insoluble in water and readily soluble in organic solvents like, chloroform or ether ?, Table 15.2 : Melting and Boiling points in alkanes, Molecular formula, CH4, , Name, Methane, , Molecular mass/u, 16, , b.p. (K), 111.0, , m.p. (K), 90.5, , C2H6, , Ethane, , 30, , 184.4, , 101.0, , C3H8, , Propane, , 44, , 230.9, , 85.3, , C4H10, , Butane, , 58, , 272.4, , 134.6, , C4H10, , 2-Methylpropane, , 58, , 261.0, , 114.7, , C5H12, , Pentane, , 72, , 309.1, , 143.3, , C5H12, , 2-Methylbutane, , 72, , 300.9, , 113.1, , C5H12, , 2,2-Dimethylpropane, , 72, , 282.5, , 256.4, , C6H14, , Hexane, , 86, , 341.9, , 178.5, , 236

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in the presence of V2O5, Cr2O3 ,Mo2O3 etc., supported over alumina. The reaction involves, simultaneous dehydrogenation and cyclization., This reaction is known as aromatization or, reforming ., H3C - CH2 - CH2 - CH2 - CH2 - CH3, , Remember, 1. Depending upon which hydrogen atom is, replaced, a number of isomeric products, can be formed from alkane. For example,, n-Butane and isobutane yield two isomers, each., 2. Halogenation an alkane yields a mixture, of all possible isomeric products,, indicating all the hydrogen atoms are, susceptible to substitution., , n-Hexane , V2O5, 773K, 10-20 atm, , + 4H2, Benzene, , This process is used in refineries to, produce high quality gasoline (the fuel used in, automobiles)., , 2. Combustion : Alkanes on heating in the, presence of air or dioxygen are completely, oxidized to carbon dioxide and water with the, evolution of a large amount of heat. That is, why alkanes are good fuels., CH4 + 2 O2, CO2 + 2 H2O ;, , Use your brain power, Name the alkane from which methyl, benzene is obtained by reforming?, , Methane, , ∆CH0 = - 890 kJ mol -1, 4 CO2 + 5H2O ;, , C4H10 + 13/2 O2, , Collect the information of CNG and LPG, with reference to the constituents and the, advantages of CNG over LPG., , Butane, , ∆CH0 = - 2875.84 kJ mol -1, A representative combustion equation for, alkane is, 3 n+1, CnH2n+2 +, O2, n CO2, 2, , + ( n + 1) H2O + Heat, , (, , (, , Can you recall?, What is the product which is, poisonous and causes air pollution formed, by incomplete combustion of alkane ?, 3. Pyrolysis : Alkanes on heating at higher, temperature in absence of air decompose to, lower alkanes, alkenes and hydrogen, etc. This, is known as pyrolysis or cracking., C6H14, , 773 K, , 15.1.6 Uses of alkanes :, 1. First four alkanes are used as a fuel mainly, for heating and cooking purpose. for example,, LPG and CNG., 2. CNG, petrol, diesel are used as fuels for, automobiles., 3. Lower liquid alkanes are used as solvent., 4. Alkanes with more than 35 C atoms (tar) are, used for road surfacing., 5. Waxes are high molecular weight alkanes., They are used as lubricants.They are also, used for the preparation of candles and carbon, black that is used in manufacture of printing, ink, shoe polish, etc., , C6H12 + H2, C4H8 + C2H6, Can you recall?, , C3H6 + C2H4 + CH4, 4. Reforming : Straight chain alkanes, containing 6 to 10 carbon atoms are converted, to benzene and its homologues on heating, under 10 to 20 atm pressure at about 773 K, , 238, , •, •, •, , What are alkenes?, Calculate the number of sigma (s ) and, pi (p) bonds in 2-Methylpropene ?, Write structural formula of pent-2-ene.

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15.2 Alkenes : Alkenes are unsaturated, hydrocarbons containing at least one carboncarbon double bond. Alkenes with one carboncarbon double bond, contain two hydrogen, atoms less than corresponding alkanes.They, have general formula CnH2n.where n= 2,3,4..., etc. You have also learnt about the IUPAC, names of alkenes in Chapter 14., Do you know ?, 1. Alkenes are also known as olefins,, because the first member ethylene or, ethene reacts with chlorine to form oily, substance., 2. The aliphatic unsaturated hydrocarbon, containing two or three carbon-carbon, double bonds are called alkadienes and, alkatrienes, respectively. for example,, CH3, H2C = C − CH = CH2 Methylbuta-1,3-diene, , Structure I and III along with II and III are, the examples of chain isomerism. They differ, in carbon chain length. Structure I and II are, the examples of position isomerism because, they differ in the position of double bond in the, same carbon chain., ii. Geometrical isomerism, The isomerism which arises due to the, difference in spatial arrangement of atoms or, groups about doubly bonded carbon ( C=C), atoms is called geometrical isomerism. If the, two atoms or groups bonded to each end of the, C=C double bond are different, then molecule, can be represented by two different special, arrangements of the groups as follows :, X, X, Y, C, C, , C, C, Y, Y, X, (A) , , (Isoprene), , , , b-Phellandrene (oil of eucalyptus), , 15.2.1 Isomerism in alkenes : Alkenes with, more than three carbon atoms show both, structural isomerism and geometrical, isomerism., i. Structural isomerism : Alkenes with, molecular formula C4H8 is butene. The, structural formulae for C4H8 can be drawn in, three diffferent ways :, 1, , 2, , 3, , 4, , H2C = CH − CH2 − CH3, (I) But-1-ene (Chain of 4 carbon atoms), 1, , 2, , 4, , 3, , H3C − CH = CH − CH3, , CH3, 2, , X, , (B), , In structure (A), two identical atoms, or groups lie on the same side of the double, bond. The geometrical isomer in which two, identical or similar atoms or groups lie on, the same side of the double bond is called, cis-isomer., In structure (B), two identical atoms or, groups lie on the opposite side of the double, bond. The geometrical isomer in which two, identical or similar atoms or groups lie on, the opposite side of the double bond is called, trans-isomer. Due to different arrangement of, atoms or groups in space, these isomers differ, in their physical properties like melting point,, boiling point, solubility etc. Geometrical or, cis-trans isomers of but-2-ene are represented, as :, H, CH3, H, CH3, C, C, , C, C, H, CH3, H, H3C, , (II) But-2-ene (Chain of 4 carbon atoms), , 1, , Y, , 3, , H2C = C − CH3, , cis-But-2-ene, (b.p. = 277 K), , (III) 2-Methylprop-1-ene (Chain of 3 carbon atoms), , 239, , trans- But-2-ene, (b.p. = 274 K)

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H, H H, , H, H3C − C − CH3, OSO3H, , H - OH, ∆, , H, , C, , H, , CH3, , C, , propan-2-ol, , C, , H + H − OH, , C, , H, , O, C, O, , C, O, , H, , H, , (Ethene ozonide), , H, , C=O+O=C, , H, , + ZnO, , (Formaldehyde) (Formaldehyde), , H, H3C, , C, 1, , H, C, 2, , H, , O3, CCl4, , H3C, , (Propene) , , H+, H2O, Zn dust, , CH3, , H3C − C − CH3, OH, , , , H3C, H, , H, , O, C, 1 O, , H, C H, O2, , (Propene ozonide), , H, , C = O + O =2C, 1, , (Acetaldehyde), , H, , + ZnO, , (Formaldehyde), , Remember, , 2-Methylpropan-2-ol, , Can you tell?, , 1. In the cleavage products a carbonyl group, ( C =O) is formed at each of the original, doubly bonded carbon atoms., 2. Knowing the number and arrangement, of carbon atoms in these aldehydes and, ketones produced, we can identify the, structure of original alkene., 3. The role of zinc dust is to prevent the, formation of hydrogen peroxide which, oxidizes aldehydes to corresponding, acids., 4.This reaction is used to locate the position, and determine the number of double, bonds in alkenes., , Why are Propan-1-ol and 2-Methypropan-1ol are not prepared by this method ?, 5. Ozonolysis of alkenes : The C = C double, bond gets cleaved on reaction with ozone, followed by reduction. This overall process of, formation of ozonide by reaction of ozone with, alkene in the first step and then decomposing, it to the carbonyl compounds by reduction in, the second step is called ozonolysis., O, HO, O, C, C, C C CCl, Zn dust, O, O, 1, 2, 2, , 3, , H, , H, , 2-Methylprop-1-ene, , 4, , Alkene , , H, , C, , H2O, Zn dust, , + H2SO4, Reactive alkenes on adding water, molecules in the presence of concentrated, sulphuric acid, form alcohol.The addition of, water takes place according to Markovnikov's, rule.This reaction is known as hydration of, alkenes., CH3H, H3C, , C, , H, , O3, CCl4, , (Ethene) , , H OH, , Isopropyl hydrogen sulphate, , H, , alkene ozonide, 1, , Use your brain power, , 2, , C = O + O = C + ZnO, , On ozonolysis an alkene forms the, following carbonyl compounds. Draw the, structure of unknown alkene from which, these compounds are formed., HCHO and CH3COCH2CH3, , Carbonyl compounds, , Ozone gas is passed into solution of, the alkene in an inert solvent like carbon, tetrachloride, unstable alkene ozonide is, obtained. This is subsequently treated with, water in the presence of a reducing agent zinc, dust to form carbonyl comounds, namely,, aldehydes and/or ketones ., , 6. Hydroboration- oxidation of alkene, Alkenes with diborane in tetrahydrofuran, (THF) solvent undergo hydroboration to, form trialkylborane, which on oxidation with, , 244

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alkaline peroxide forms primary alcohol. The, overall reaction gives Anti-Markovnikov's, product from unsymmetrical alkenes, 6( C, (Alkene), , C, , ( + (BH3)2 THF, , 2, , (Diborane), HO - OH, , C, , C, , (, , B, 3, , n, , C, , (, , 2, , C, , +B(OH)3, , H, H B, H, 2, , (, , B, , Or, , THE, solvent, , NaOH, , (, , H, H B, H, 2, , THE, solvent, , c. Polyvinyl chloride, , 2(CH3-CH2- CH2-)3B, , 3 HO-OH, NaOH, , (Tri-n-propylborane), 3CH3−CH2−CH2− OH + B(OH)3, , , , (Polyethene), (Polymer), , ( (, ( (, , (Diborane), , B, , n, , Write the structure of monomer from, which each of the following polymers are, obtained., a. Teflon (CF2 − CF2), H, CH3, b. Polypropene, C−C, n, H Cl, H H, , 3 HO-OH, , ( (, (, , H3C - CH2 - CH2, H3C - CH2 - CH2, H3C - CH2 - CH2, , C−C, H H, , Use your brain power, , +6CH3-CH2-OH + 2B(OH)3, , (Propene), , H, , Here n represents the number of repeating units, and is a large number., , 2(CH3- CH2-)3B, , (Ethanol), , H, C H+, , H, , ( (, , , , (Triethylborane), , H, 6H C C, 3, , H, , C−C−C−C, H H H H, H H, , , , (Diborane), , H3C - CH2, H3C - CH2, H3C - CH2, , H, , , , ( (, , (Ethene), , Heat, pressure, 2, polymerization, , (Ethene), (Monomer), , (Alcohol), , H, C H+, , H, , H, , OH, H, 6H C, , C=C, , HO, , (Trialkylborane), , +, , OH, , (, , H, , (Propan-1-ol), , C−C, H Cl, , n, , 8. Hydroxylation : Alkenes react with cold, and dilute alkaline potassium permanganate, to form glycols., H, H, alkaline, C = C + H - OH + (O) KMnO, H, H, 4, , 7. Polymerization : The process in which, large number of small molecules join together, and form very large molecules with repeating, units is called polymerization. The compound, having very large molecules made of large, number repeating small units is called polymer, and the simple compound forming the repeating, units in the polymer is called monomer., For example, ethene at high temperature and, under high presssure interacts with oxygen,, and undergoes polymerization giving high, molecular weight polymer called polyethene., , (Ethene) , , H, , 245, , H, , H, , C, , C, , H, , OH OH, H3C, , C=C, , H, , (Ethane-1,2-diol), , + H − OH + (O), , H, , H, , (Propene), , , alkaline, KMnO4, , H, , H, , H3C C C H, OH OH, (Propane-1,2-diol)

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Table 15.5 : Melting point and Boiling point of alkynes, Fornula, , Name, , Physical, State, Gas, Gas, , b.p.(K), , m.p.(K), , Ethyne, Propyne, , Molecular, mass/u, 26, 40, , CH =CH, CH = CCH3, , 198, 250, , 191, 171.5, , CH =CCH2CH3, , But-1-yne, , 54, , Gas, , 282, , 151, , CH = C(CH2)2CH3, , Pent-1-yne, , 68, , Liquid, , 313, , 175, , CH =C(CH2)3CH3, , Hex-1-yne, , 82, , Liquid, , 345, , 149, , 15.3.4 Chemical properties of alkynes :, 1. Acidity of alkynes :, The hydrogen bonded to C ≡ C triple, bond has acidic character. Lithium amide (, LiNH2) is very strong base and it reacts with, terminal alkynes to form lithium acetylides, with the liberation of hydrogen indicating, acidic nature of terminal alkynes. Why is, it so ? In terminal alkynes, hydrogen atom, is directly attached to sp hybridized carbon, atom. In sp hybrid orbital, the percentage of, s- character is 50%. An electron in s-orbital is, very close to the nucleus and is held tightly., The sp hybrid carbon atom in terminal alkynes, is more electronegative than the sp2 carbon in, ethene or the sp3 carbon in ethane. Due to high, electronegative character of carbon in terminal, alkynes, hydrogen atom can be given away as, proton ( H+ ) to very strong base., Examples, H−C≡C−H, Ethyne , , Li+NH2-NH3, , Li+NH2-, , Do you know ?, Acidic alkynes react with certain, heavy metal ions like Ag+ and Cu+ and form, insoluble acetylides. On addition of acidic, alkyne to solution of AgNO3 in alcohol, form a precipitate which indicates that the, hydrogen atom is attached to triply bonded, carbon. This reaction is used to differentiate, terminal alkynes and non-terminal alkynes., 2. Addition of dihydrogen (See method of, preparation of alkenes from unsaturated, hydrocarbons), 3. Addition of halogens, CCl, -C≡C-+X-X, -C=CX, , Monolithium ethynide, , Li − C ≡ C − Li + NH3, Dilithium ethynide, Li+NH2-NH3, , Prop-1-yne , , Arrange following hydrocarbons in the, increasing order of acidic character., propane, propyne, propene., , 4, , H − C ≡ C − Li, , , , H3C - C ≡ C - H, , Use your brain power, , Alkyne (X2 = Cl2, Br2) , , 1, 2 - Dihaloalkene, , X, X− X, , H3C - C ≡ C - Li, , Lithium propynide, , The relative acidity of alkanes, alkenes and, alkynes follows the order, H − C ≡ C − H > H2C = CH2 > H3C − CH3, , X, X, , −C−C−, X, , X, , 1, 1, 2, 2 - Tetrahalokane, , Ethyne reacts with bromine in inert solvent, such as carbon tetrachloride to give, tetrabromoethane., H - C ≡ C - H + Br - Br CCl, Ethyne, Bromine, Br Br, Br − Br, H −C-C−H, H-C=C- H, 4, , Can you tell?, Alkanes and alkenes do not react, with lithium amide. Give reason., , Br Br, 1,2-Bibromoethene, , 248, , Br Br, 1,1,2,2-Tetrabromoethane

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Red-brown colour of solution of bromine, in carbon tetrachloride disappears. This, test can be used to detect the presence of, unsaturation in given compound., 4. Addition of hydrogen halides, −C≡C−+H−X, −C=C−, H, Alkyne, , (HX = HCl , HBr,HI), , H, , X, , −C-C−, H, , , , H − C ≡ C − H + H − OH, , [, , X, , H, , H, , C, , C, , O H, , H, , H, Ethyne Hydrogen bromide, , Br, , 1-Bromoethene, , H, H − Br, , Br, , H, H − C − C− H, O H, , Vinyl alcohol , , Ethanal, , H3C − C ≡ C − H + H − OH, Propyne, , Br H, Hydrogen bromide, , 2-Bromopropene, , Br, H3C − C − CH3, Br, , H − Br, , , , 2,2-Dibromopropane, , The order of reactivity of hydrogen halides is, HI > HBr > HCl, 5. Addition of water, C C, 40% H SO, - C ≡ C - + H - OH 1% HgSO, H OH, 2, , [, , 4, , 4, , Alkyne , , [, , C, , O H, , [, , H, , Tautomerisation, , Propanone, , Use your brain power, Convert : 3-Methylbut-1-yne, 3-Methylbutan-2-one., , into, , 15.3.5 Uses of acetylene :, 1. Ethyne (acetylene) is used in preparation of, Ethanal (acetaldehyde), Propanone (acetone),, ethanoic acid (acetic acid)., 2. It is used in the manufacture of polymers,, synthetic rubber, synthetic fibre, plastic etc., 3. For artificial ripening of fruits., 4. In oxy-acetylene ( mixture of oxygen and, acetylene) flame for welding and cutting of, metals., 15.4 Aromatic Hydrocarbons :, Can you recall?, , Unstable, , Tautomerism, , C, , , , Br, , H 3C − C = C − H, , H, , 40% H2SO4, 1% HgSO4, , H3C − C − CH3, O, , 1,1-Dibromoethane50%, , H3C − C ≡ C − H + H−Br, , [, , H3C, , H −C-C−H, H, , , , Tautomerisation, , Geminal dihalides, , Hydrogen halides (HCl, HBr and HI) add, to alkynes across carbon-carbon triple bond in, two steps to form geminal dihalides (in which, two halogen atoms are attached to the same, carbon atom).The addition of HX in both the, steps takes place according to Markovnikov's, rule., H − C ≡ C − H + H − Br, H − C = C −H, , Propyne, , [, , 40% H2SO4, 1% HgSO4, , Ethyne , , X, , H− X, , Alkynes react with water in presence of, 40% sulphuric acid and 1% mercuric sulphate, to form aldehydes or ketones i.e. carbonyl, compounds., , H, − C − C−, H O, , •, •, , Carbonyl compound, , 249, , What are aromatic hydrocarbons?, What are benzenoid and non-benzenoid, aromatics ?

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Many organic compounds obtained, from natural sources like resins, balsams,, oil of wintergreen, etc. possessing pleasant, fragrance (aroma = smell) are named as, aromatic compounds. Aromatic hydrocarbons, (also called arenes) contain only carbon and, hydrogen. Benzene is the simplest aromatic, compound., Benzene and all compounds that have, structures and chemical properties resembling, benzene are classified as aromatic compounds., Examples are :, Br, CH3, , Remember, 1. Aromatic compounds contain planar, cyclic rings., 2. Not all compounds those resemble, benzene have pleasant odour (smell)., Anthracene is, odourless., 3. Many compounds having pleasant odour, do not resemble benzene., H 3C, , O, C, , O, , CH3, , (Methyl acetate), , (Benzene) (Methylbenzene) (Bromobenzene), H3C, , O, C, , OH, , O, , C2H5, , (Ethyl acetate), , (Naphthalene), (Phenol), 15.4.1 Benzene : The molecular formula of, benzene is C6H6. Benzene is parent compound, of most of the aromatic compounds., Coal-tar and petroleum are the two, large-scale sources of benzene (and aromatic, compounds like toulene , phenol, naphthalene.)., , H, , Cl, C, , Cl, , Cl, , (Trichloromethane or chloroform), , It is a colourless liquid having characteristic, odour. Its boiling point is 353K., It was synthesized by Berthelot (1870), from acetylene. Benzene was originally called, phene and hence C6H5 is called phenyl group., , Table 15.6 : Difference between aromatic and aliphatic compounds, Aromatic compounds, Aliphatic compounds, 1. Aromatic compounds contain higher, 1. Aliphatic compounds contain lower, percentage of carbon., percentage of carbon., 2. They burn with sooty flame., 2. They burn with non-sooty flame., 3. They are cyclic compounds with alternate 3. They are open chain compounds., single and double bonds., 4. They are not attacked by normal oxidizing 4. They are easily attacked by oxidizing and, and reducing agents., reducing agents., 5. They do not undergo addition reactions, easily. They do not decolourise dilute alkaline, aqueous KMnO4 and Br2 in CCl4, though double, bonds appear in their structure., , 5. Unsaturated aliphatic compounds undergo, addition reactions easily.They decolourise, dilute aqueous alkaline, KMnO4 and Br2 in CCl4., , 6. They prefer substitution reactions., , 6. The saturated aliphatic compounds give, substitution reactions., , 250

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15.4.2 Structure of benzene :, 1. Molcular formula of benzene, C6H6,, indicates the high degree of unsaturation., 2. Open chain structure NOT possible : Open, chain or cyclic structure having double and, triple bonds can be written for C6H6. But, benzene does not behave like alkenes or, alkynes (see Table 15.7). This indicates that, benzene can not have the open chain structure., , H, H, , Alkene, , Benzene, , With dil., alka., KMnO4, , Decolourisation, of purple colour of, KMnO4, , No, decolourisation, , With Br2 in, , Decolourisation of, red brown, colour of bromine, Addition of H2O, molecule, , No, decolourisation, , CCl4, With H2O, in acidic, medium, , No reaction, , 3. Evidence of cyclic structure : Benzene yields, only one and no isomeric monosubstituted, bromobenzene (C6H5Br) when treated with, equimolar bromine in FeBr3. This indicates, that all the six hydrogen atoms in benzene are, identical., FeBr3, C6H6 + Br2, C6H5Br + HBr, , ∆, , C, H, , H, H, , Usually, written as, , Even with this modification, Kekule' structure, of benzene failed to explain unusual stability, and preference to substitution reactions rather, than addition reactions, which was later, explained by resonance., 5. Stability of benzene:, Benzene is a hybrid of various resonance, srtuctures.The two structures, A and B given, by Kekulé are the main contributing structures., The resonance hybrid is represented by, inserting a circle or a dotted circle inscribed, in the hexagon as shown in (C). The circle, represents six electrons delocalized over the, six carbon atoms of benzene ring., , This is possible only if benzene has cyclic, structure of six carbons bound to one hydrogen, atom each., Benzene on catalytic hydrogenation gives, cyclohexane., Ni, C6H6 + 3H2, C6H12, (Benzene), , C, , C, C, , The, Kekulé, structure, indicates, the, possibility, of, two, isomeric, 1,2-dibromobenzenes. In one of the isomers,, the bromine atoms would be attached to the, doubly bonded carbon atoms whereas in the, other, they would be attached to single bonded, carbons., Br, Br, Br, Br, +, However, benzene was found to form only, one ortho-disubstituted benzene. This problem, was overcome by Kekule' by suggesting the, concept of oscillating nature of double bonds, in benzene as given below., , Table 15.7 : Comparative reactivity of alkenes, and benzene, Reaction, , C, , H, C, , (Cyclohexane), , This confirms the cyclic structure of benzene, and three C = C in it., 4. Kekulé structure of benzene :, August Kekulé in 1865 suggested the, structure for benzene having a cyclic planar, ring of six carbon atoms with alternate single, and double bonds and hydrogen atom attached, to each carbon atom., , Or, (A), (B), (C), A double headed arrow between the, resonance structures is used to represent the, resonance phenomenon., Stability of benzene : The actual molecule is, more stable than any of its resonance structures., For benzene, the stability due to resonance, , 251

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is so high that p-bonds of the molecule resist, breaking. This explains lack of reactivity of, benzene towards addition., The orbital overlap gives us better picture, of structure of benzene. All six carbon atoms, in benzene are sp2 hybridised. Two sp2 hybrid, orbitals of carbons overlap and form carboncarbon sigma (s) bond and the remaining third, sp2 hybrid orbital of each carbon overlaps with, s orbital of a hydrogen atom to form six C-H, sigma bonds., Hσ, , σ, σ, , Remember, σ, , In benzene , a. All carbon and hydrogen, atoms lie in the same plane., b. Six sigma ( s ) bonds lie in the same, plane., c. All bond angles are 1200, H, H, , H, , σ, , σ, H, , σ, , σ, , σ, , H, , The unhybrid p orbitals of carbon atoms, overlap laterally forming p bonds. There are, two possibilities of forming three p bonds by, overlap of p orbitals of C1-C2, C3-C4, C5-C6 or, C2-C3, C4-C5, C6-C1, respectively, as shown in, Fig. 15.5; both are equally probable. According, to resonance theory (Chapter 5) these are two, resonance structures of benzene., 1, , 2, 3, , 6, 5, , π MO, , Fig 15.6 : Representative p molecular, orbital in benzene, , σ H, , σ, , P-orbital, , σ, , H, , atom energies., , Or, , 4, , Or, , Fig. 15.5 Overlap of p orbitals in benzene, , According to molecular orbital (MO), theory (Chapter 5) the six p orbitals of six, carbons give rise to six molecular orbitals of, benzene. Shape of the most stable MO is as, shown in Fig. 15.6., Three of these p molecular orbitals lie, above and the other below those of free carbon, , H, , 120°, H, , 120°, , H, , H, , The six electrons of the p orbitals cover, all the six carbon atoms and are said to be, delocalized. Delocalization of p electrons, results in stablity of benzene molecule., 6. Bond parameters of benzene : X-ray, diffraction data indicate that all C-C bond, lengths in benzene are equal ( 139 pm) which, is an intermediate between C-C (154 pm), and C=C bond (133pm). Thus absence of, pure double bond in benzene accounts for its, reluctance to addition reactions under normal, conditions, which explains unusual behaviour, of benzene (Refer to sec.14.6.5)., , 252, , C, , C, , 1.54 A°, , Single-bond lenght, , C, , C, , 1.39 A°, , Benzene-bond length

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C, , C, , 1.34 A°, , Double-bond length, 15.4.3 Aromatic character ( Huckel Rule) :, Benzene undergoes substitution reaction, rather than addition reactions. This property, is common to all aromatic compounds and, is referred to as aromaticity or aromatic, character. The aromatic character of benzene, is correlated to its structure., Aromaticity is due to extensive cyclic, delocalization of p electrons in planar ring, structures., The following three rules of aromaticity, are useful in predicting whether a particular, compound is, aromatic or non-aromatic., 1. Aromatic compounds are cyclic and planar, (all atoms in ring are sp2 hybridized)., 2. Each atom in aromatic ring has a p-orbital., The p-orbitals must be parallel so that, continuous overlap is possible around the ring., 3. Huckel Rule : The cyclic p molecular, orbital formed by overlap of p-orbitals must, contain ( 4n + 2) p electrons, where n= integer, 0,1,2,3 ...etc., Let us apply these rules to the following, compounds, , Benzene, , Naphthalene, , 1. Benzene : It is cyclic and planar. It has, three double bonds and six p electrons. It has, a p orbital on each carbon of the hexagonal, ring. Hence a continuous overlap above and, below the ring is posssible., , This compound is aromatic, 4n + 2 = Number, of p electrons., , 4n + 2 = 6,, ∴ 4n = 6-2 =4, n = 4/4 = 1, Here 'n' comes out to be an integer., Hence benzene is aromatic., 2. Naphthalene : It is cyclic and planar. It, has 5 double bonds and 10 p electrons.It has, p orbital on each carbon atom of the ring., Hence a continuous overlap around the ring is, posssible. This is in accordance with Huckel, rule., 4n + 2 = Number of p electrons, 4n + 2 = 10,, ∴ 4n = 10 -2 = 8, n = 8/4 = 2, Here 'n' comes out to be an integer., Hence napthalene is aromatic., 3. Pyridine : Pyridine has three double bonds, and 6 p electrons. The six p orbital containing, six electrons form delocalized p molecular, orbital. The unused sp2 hybrid orbital of, nitrogen containing two non-bonding electrons, is as it is., N, Non bonding, electron pair, 4n + 2 = Number of p electrons, 4n + 2 = 6,, ∴ 4n = 6 -2 = 4, n = 4/4 = 1, Here 'n' comes out to be an integer., Hence pyridine is aromatic., 4. Cycloheptatriene : It is cyclic and planar. It, has three double bonds and 6 p electrons. But, one of the carbons is saturated (sp3 hybridized), and does not possess a p orbital. Hence a, continuous overlap around the ring is not, possible.Therefore, it is non- aromatic., sp3 hybridized, 15.4.4 Preparation of aromatic compounds, a. Industrial source of aromatic compounds, Coal tar and petroleum are major sources of, aromatic compounds., b. Methods of preparation of benzene, 1. From ethyne ( By trimerization) : Alkynes, when passed through a red hot iron tube at 873, K, polymerize to form aromatic hydrocarbons., , 253

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Ethyne when passed through a red hot iron, tube at 873 K undergoes trimerization to form, benzene., CH, , CH, , CH, , H, H, , H, , + 3Cl2, , H, , H, , CH, , Red hot iron tube, CH, 873k, , to give benzene hexachloride ., UV light, , H, , Or, , Benzene hexachloride (BHC), , CH, , Benzene, , Can you recall?, What is decarboxylation ?, 2.From sodium benzoate :, (By decarboxylation), When anhydrous sodium benzoate is heated, with soda-lime it gives benzene., O, C ONa, , Cl H Cl H, H C C C, Cl, Cl C, C H, C, H, Cl, Cl H, , g - isomer of benzene hexachloride is called, gammexane or lindane which is used as, insecticide., ii. Addition of hydrogen : When a mixture, of benzene and hydrogen gas is passed, over heated catalyst nickel at 453 K to 473, K,cylohexane is formed., Ni, 453 - 473 K, , + 3H2, Benzene (C6H6), , + NaOH, , CaO, ∆, , +Na2CO3, , Sodium benzoate , , Benzene, , 3. From phenol ( By reduction) : When, vapours of phenol are passed over heated zinc, dust, it gives benzene., , Cyclohexane, (C6H12), , iii. Addition of ozone : When benzene is treated, with ozone in presence of an inert solvent, carbon tetrachloride, benzene triozonide is, formed which is then decomposed by zinc dust, and water to give glyoxal., H, , OH, , H, , + Zn, Phenol , , ∆, , + 3O3, , + ZnO, , O, , C, , H, Benzene, , Zn / H2O, , , , O, , O C, O, C, O C O, , O, , Benzene, , 15.4.5 Physical properties of benzene, 1. Benzene is colourless liquid., 2. Its boiling point is 353K and melting point, is 278.5 K., 3. It is isoluble in water. It forms upper layer, when mixed with water., 4. It is soluble in alcohol, ether, and chloroform., 5. Benzene vapours are highly toxic which on, inhalation lead to unconsciousness., 15.4.6 Chemical properties of benzene, Aromatic compounds are characterised by, electrophilic substitution reactions. However,, they undergo addition and oxidation reactions, under special conditions. Some reactions of, benzene are discussed below., I. Addition reactions, i. Addition of chlorine : Benzene when treated, with chlorine in presence of bright sunlight or, UV light, adds up three molecules of chlorine, , C, , C O, H, , H, H, O, , CHO, 3, , CHO, , + 3H2O2, , Ethanedial or glyoxal, , II. Substitution reactions : Benzene shows, electrophilic substitution reactions, in which, one or more hydrogen atoms of benzene ring, are replaced by electrophilic groups like -Cl,, -Br, -NO2, -SO3H, -R (alkyl group) , -COR, (Acyl group) etc. (see Chapter 14)., i. Halogenation : In this reaction, hydrogen, atom of benzene ring is replaced by halogen, atom ., , 254

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The reaction is used to extend the chain outside, the benzene ring., Electrophile : R⊕, Formation of the electrophile :, R Cl + AlCl3, R⊕ + AlCl4, v. Friedel-Craft's acylation reaction :, anhy. AlCl3, heat, , + CH3- CO Cl, COCH3, , + HCl, 1- Phenylethanone or Acetophenone, , + (CH3- CO)2O, Benzene, , anhy. AlCl3, heat, , Acetic anhydride, COCH3, + CH3COOH, 1- Phenylethanone or Acetophenone, , When benzene is heated with an acyl, halide or acid anhydride in the presence, of anhydrous aluminium chloride, it gives, corresponding acyl benzene., Electrophile : R-C⊕=O acylium ion, Formation of the electrophile : R COCl +, R-C⊕ =O + AlCl4, AlCl3, 6. Combustion : When benzene is heated in, air , it burns with sooty flame forming carbon, dioxide and water., 6 CO2 + 3 H2O, C6H6 + 15/2 O2, General combustion reaction for any, hydrocarbon (CxHy) can be represented as, follows:, CxHy + (x + y/4) O2, x CO2 + y/2 H2O, 15.4.7 Directive influence of a functional, group in monosubstituted benzene, Structure of benzene :, H, H, , C, C, , H, C, C, H, , C, C, , H, H, , H, H, , Acetyl Chloride, , Benzene, , In benzene, all hydrogen atoms are equivalent., Therefore, only one product is possible when it, undergoes electrophilic substitution reactions., Monosubstituted benzene :, , C, C, , H, C, C, H, , C, C, , H, H, , -H, +S, , substituent, S, 1, H 6 C 2 H, C, C, 3, C, C, H 5 C4 H, H, Monosubstituted benzene, , Positions of carbon atoms in mono substituted, benzene :, The positions 2 and 6 are equivalent and give, ortho (o-) products., The position 3 and 5 are equivalent and give, meta (m-) products., The position 4 is unique and and gives para, (p-) product., Now in benzene , five positions are available, for electrophilic substitution., When monosubstituted benzene is, subjected to further electrophilic substitution,, the second substituent i.e. electrophile (see, Chapter 14) or incoming group (E) can, occupy any of these positions and give three, disubstituted products. But these products are, not formed in equal amounts., S, S, E E, S, , S, -H, E+, S, , S, EE, , ortho-product, , meta-product, , para-product, , E, Two types of behaviour are observed., a. ortho- and para - products or b. metaproducts are found as major products :, This behaviour mainly depends on the, nature of the substituent (S) already present, in the benzene ring and not on the nature of, second substituent (E) i.e. incoming group., , 256

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:, , :, , :, , :, , :, , Resonating structures, , Resonating structures, , +O H, , :, , :, , :, , :, , :, , :, , The groups which direct the incoming, group to ortho and para positions are called, ortho and para directing groups., Ortho and para directive influence of -OH, group : The resonance theory clearly explains, why certain substituents are ortho/para or meta, directing. Let us study the various resonance, structures of phenol (see Chapter 14)., + OH, :OH, + OH, :, , :, , CH3 ,, , it has no nonbonding electron pair on the key, atom.This is explained on the basis of special, type of resonance called hyperconjugation or, no bond resonance (see Chapter 14)., In case of aryl halides, halogens are, moderately deactivating. Because of their, strong -I effect, overall electron density on, the benzene ring decreases. It makes the, electrophilic substitution difficult. However,, due to resonance the electron density on, ortho and para positions is greater than, meta positions. Halogens are ortho and para, directing., Let us study the various resonanting structures, of chlorobenzene., O Cl :, : Cl :, O Cl :, :, , O, , :, , :, , Cl : , Br : , O H ,, , NH2 ,, NHR, CH3 , C2H5 , R etc., , : :, , : :, , : :, , : :, , Ortho and para directing groups :, , O Cl :, , :O H, , : Cl :, , :, , :, It is clear from the above resonance, structures that the ortho and para positions, have a greater electron density than the meta, positions. Therefore, -OH group activates, the benzene ring for the attack of second, substituent E at these electron -rich centres., , Meta directing and deactivating groups, ⊕ H, ⊕ O, δ⊕, δ, N H, N, C, N ,, ,, ,, O, H, δ, O, C, , δ⊕, δ, , Remember, , H,, δ, , O, , Due to -I effect of -OH group (see, Chapter 14), the electron density on ortho, positions of the benzene ring gets slightly, reduced. Thus resonance effect and, inductive effect of OH group act opposite, to each other but +R effect of -OH is more, powerful than -I effect., , C, , δ⊕, δ, , O, , R, , C, , ,, , δ⊕, , O, , H, , ,, , O, , δ⊕, , S, O, , O, , H, etc., , δ, , All ortho and para directing groups, possess nonbonding electron pair on the atom, which is directly attached to aromatic ring., Methyl group is an exception : The only, exception to above rule is methyl or alkyl, groups. It is ortho and para directing, although, , All meta directing groups have positive, (or partial positive) charge on the atom which, is directly attached to an aromatic ring., The groups which direct the incoming, group to meta positions are called meta, directing groups., , 257

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: :, , :, , Metadirective influence of -NO2 group can, be explained by resonance theory : Meta, directing group withdraws electrons from the, aromatic ring by resonance, making the ring, electron-deficient. Therefore, meta groups are, ring deactivating groups. Due to -I effect ,, -NO2 group reduces electron density in benzne, ring on ortho and para positions.So the attack, of incoming group becomes difficult at ortho, and para positions. Incoming group can attack, on meta positions more easily. Let us study the, various resonance structures of nitrobenzene., :O ⊕ O, :O ⊕, N O, N, ⊕, , :O, , N, , :O ⊕, N, , :, , ⊕ O, , : :, , : :, , Resonating structures, , O, , :O, , ⊕, N, , O, , It is clear from the above resonance structures, that the ortho and para positions have, comparatively less electron density than at, meta positions. Hence, the incoming group/, electrophile attacks on meta positions., 15.4.6 Carcinogenicity and Toxicity :, Benzene is both toxic and carcinogenic, (cancer causing). In fact, it might be considered, "the mother of all carcinogens" as a large, number of carcinogens have structures those, include benzene rings. Several polycyclic, aromatic compounds (containing more than, two fused benzene rings) are produced by, incomplete combustion of tobacco, coal and, petroleum. In liver, benzene is oxidized to an, epoxide. Benzopyrene is converted into an, epoxy diol. These substances are carcinogenic, and can react with DNA which can induce, mutation leading to uncontrolled growth of, cancer cells., , ⊕, ⊕, , Internet my friend, 1. chemed.chem.purdue.edu>1organic>Organic Chemistry, 2. www.ncert.nic.in>ncerts>kech206(pdf), 3. https://www.britannica.com>science>benzene, 4. https://pubchem.ncbi.nlm.nih.gov>Benzene, , 258

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Exercises, 1., , Choose correct options, A. Which of the following compound, has highest boiling point ?, a. n-pentane, b. iso-butane, c. butane, d. neopentane, B. Acidic hydrogen is present in :, a. acetylene, b. ethane, c. ethylene, d. dimethyl acetylene, C. Identify 'A' in the following reaction:, A, CH3- C - CH3, CH3 - C = CH2, CH3, O, , + CO2 + H2O, a. KMnO4/H+, b. alkaline KMnO4, c. dil. H2SO4/1% HgSO4, d. NaOH/H2O2, D. Major product of chlorination of, ethyl benzene is :, a. m-chlorethyl benzene, b. p - chloroethyl benzene, c. chlorobenzene, d. o - chloroethylbenzene, E. 1 - chloropropane on treatment with, alc. KOH produces :, a. propane, b. propene, c. propyne, d. propyl alcohol, 2. Name the following :, A. The type of hydrocarbon that is used, as lubricant., B. Alkene used in the manufacture of, polythene bags., C. The hydrocarbon said to possess, carcinogenic property., D. What are the main natural sources of, alkane?, , 259, , E. Arrange the three isomers of alkane, with malecular formula C5H12 in, increasing order of boiling points and, write their IUPAC names., F. Write IUPAC names of the products, obtained by the reaction of cold, concentrated sulphuric acid followed by, water with the following compounds., a. propene, b. but-l-ene, G. Write the balanced chemical reaction, for preparation of ethane from, a. Ethyl bromide, b. Ethyl magnesium iodide, H. How many monochlorination products, are possible for, a. 2-methylpropane ?, b. 2-methylbutane ?, Draw their structures and write their, IUPAC names., I. Write all the possible products for, pyrolysis of butane., J. Which of the following will exhibit, geometical isomerism ?, a. CH3- CH2 - C - CH3, CH2, b (CH3)2 C = CH2, c. CH3- C = C - CH3, C2H5 C2H5, K. What is the action of following on, ethyl iodide ?, a. alc, KOH, b. Zn, HCl, L. An alkene ‘A’ an ozonolysis gives 2, moles of ethanal. Write the structure, and IUPAC name of ‘A’., M. Acetone and acetaldehyde are the, ozonolysis products of an alkene., Write the structural formula of an, alkene and give IUPAC name of it., N. Write the reaction to convert, a. propene to nypropylalcohol., b. propene to isoproyl alcohol.

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O. What is the action of following on, but-2-ene ?, a. dil alkaline KMnO4, b. acidic KMnO4, P. Complete the following reaction, sequence :, LiNH, CH CH Cl, HBr, HC ≡ CH, A, B, C, Comment on the acidic nature of B., Q. Write the balanced chemical reactions, to get benzene from, a. Sodium benzoate., b. Phenol., R. Predict the possible products of the, following reaction., a. chlorination of nitrobenzene,, b. sulfonation of chlorobenzene,, c. bromination of phenol,, d. nitration of toluene., 3., Identify the main product of the, reaction, O2, a. CH3-CH2-CH3, ∆, 60% H SO, b. CH3 - CH - CH3, 373K, OH, , 2, , 3, , 4., , 5., , C., D., 7., 8., , A. Write the name of the reaction., B. Identify the electrophile in it., C. How is this electrophile generated?, , 40% H2SO4, 1% HgSO4, , Activity :, Prepare chart of hydrocarbons and, note down the characteristics., , CH3 - CH- CH2Br, a. Write IUPAC name of the product., b. State the rule that governs formation, of this product., Identify A, B, C in the following, reaction sequence :, , Zn, , B, , dil. alka., KMnO4, , AlCl3, , + HCl, , H2, , Br2/CCl4, room temperature, , anhydrous, , CH3, , 4, , Read the following reaction and, answer the questions given below., benzoyl, CH3 - C = CH2 + HBr peroxide, CH3, , CH3 - CH = CH2, , N, Name two reagents used for acylation, of benzene., Read the following reaction and, answer the questions given below., + CH3Cl, , Pd-C/quinoline, , d. H-C≡CH3+H2O, , Identify giving reason whether the, following compounds are aromatic or, not., A., B., , 2, , 2, , c. HC ≡ C-CH3, , 6., , A, , C, , 260

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16. Chemistry in Everyday Life, Can you recall?, 1. What are the components of balanced, diet ?, 2. Why is food cooked ? what is the difference, in the physical states of uncooked and, cooked food?, 3. What are the chemicals that we come, across in everyday life ?, The life, the atmosphere, the earth and the, universe, all have evolved over billions of years, to the present state. The evolution continues, progress and accompanied by a variety of, chemical changes. Natural phenomena such as, weathering, lightening, irruption of volcanoes,, photosynthesis, ripening of fruit, fermentation,, release of fragrance by blooming flowers, and many others take around us involve, intricate chemistry. Chemistry is involved in, a variety of life processes those occur within, and across our body. Human civilization, in different regions of the world discovered, uses of various plant, animal and mineral, products for benefits of human life. With the, advent of modern science, scientist discovered, structures of various constituent chemicals in, natural materials. Synthetic organic chemistry, has led to advancement in science. Synthesis, of natural molecules and new molecules with, structural variation revolutionalized materials, are used in all the walks of human life. This, influence is seen in all aspects of the basic, needs, such as food, clothing, shelter and, beyond., In this chapter, we consider some aspects, of food chemistry, medicinal chemistry, and chemistry of cleansing materials with, reference to compounds having simple, structural features., , 16.1 Basics of food chemistry, Food provides nutrients these are used, by the body as the source of energy. These, nutrients also regulate growth, maintain, and repair body tissues. The nutrients, comprise carbohydrates, lipids, proteins,, vitamins, minerals and water. Grains, fruits, and vegetables provide carbohydrates and, vitamins; meat, fish, eggs, dairy products and, pulses provide proteins and vitamins. Lipids, are provided by vegetable oils, dairy products, and animal fats., Most, nutrients, are, organic, macromolecules. Proteins and carbohydrates, are polymeric materials. As a result of, food digestion, the polymeric proteins and, carbohydrates ultimately break down into, monomers, namely, α- amino acids and, glucose, respectively, under the influence of, enzymes. Cooking makes food easy to digest., During the cooking process, high polymers of, carbohydrates or proteins are hydrolysed to, smaller polymers. The uncooked food mixture,, described as heterogeneous suspension,, becomes a colloidal matter on cooking., Because of smaller size of the resulting, constituent nutrient molecules, cooked food is, easier to digest than the uncooked food., 16.1.2 Food quality chemistry :, Just think, 1. Why is food stored for a long time ?, 2. What methods are used for preservation, of food ?, 3. What is meant by quality of food ?, Quality of food is an important aspect, of food chemistry. Food quality is described, in terms of parameters such as flavour,, smell, texture, colour and microbial spoilage., Enzymes are present naturally in all foods., , 261

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Quality of foods changes on shelving, mostly due to enzyme action, chemical, reactions with the environment and the action, of microorganisms. Some of these effects, are beneficial. For example, setting of milk, into curd and raising flour dough to make, bread is brought about by deliberate action of, microorganisms. Most changes brought about, by microorganisms and interaction with the, environment however, adversely affect the, food quality., Problem 16.1, How are the chemical reactions of food, stuff with the environment controlled, during storage ?, Solution :, Primarily the oxygen and microorganisms, in air are responsible for adverse effects on, stored food. The exposure of stored food to, atmosphere is minimized by storing them in, air tight container, evacuation or filling the, container with N2 gas. Rate of a chemical, reaction decreases with the lowering of, temperature. Thus refregeration is useful, for controlling chemical reaction of food, stuff with envrionment. The reactions of, food stuff with environment are catalyzed, by enzymes. Due to boiling, the enzymes, become denatured and the reactions are, controlled., , O -H, +, O -H, , 1, 2, , O, O2, , +H2O, , enzyme, , O, , a poly phenol , , a quinone, , Quinones undergo further reactions, including polymerization giving brown, coloured products named tannins. This, browning reaction can be slowed down using, reducing agents such as SO2, ascorbic acid, (vitamin C) or by change of pH by adding, edible acid such as lemon juice (citric acid) or, vinegar., ii. Rancidity of oils and fats : On keeping for, long time, oils and fats develop an unpleasant, or rancid smell and disagreeable taste., Fats are triesters of fatty acids (long chain, carboxylic acids) and glycerol (propane - 1, 2,, 3 - triol). One cause of rancidity is release of, fatty acids produced during hydrolysis of fats, brought about by water present in food., O, H2C - O - C - R1, O, HC - O - C - R2 + 3H2O, O, H2C - O - C - R3, , Hydrolysis, , Triglyceride, , Food preservation and food processing, methods aim at prevention of undesirable, changes and attempt about desirable changes, in food. The following cases illustrate some, aspects of food quality and the underlying, chemisty., i. Browning of cut fruit/vegetables : When, fruits such as banana, apple or vegetables, such as potato, bottelgourd are peeled and, sliced, sooner or later they turn brown. Cutting, action damage the cells resulting in release, of chemicals. With the pH prevailing in fruit/, vegetables, the polyphenols released are, oxidised with oxygen in air owing to action, from an enzyme to form quinones., , H2C - OH, , O, H - O - C - R1, +, O, H - O - C - R2, O, +, H - O - C - R3, , Glycerol, , Free Fatty Acids, , H2C - OH, HC - OH, , +, , The hydrolysis of fats occurs rapidly in, the presence of certain microorganisms and, is an enzyme catalysed reaction. Rancidity of, milk and butter is due to the release of four,, six and eight carbon fatty acids (butanoic,, hexanoic and octanoic acids) on hydrolysis., Chocolate develops oily or fatty flavour due to, release of palmitic, stearic and oleic acids on, hydrolysis. Lauric acid on hydrolysis gives a, soapy flavour to coconut oil., , 262

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The second cause of rancidity of oils and, fats is oxidation by molecular oxygen in the, air. Many vegetable oils have one or more, C=C double bonds in the fatty acid part of, their structure. These are called mono or poly, unsaturated fats. The unsaturated fat molecules, break down during the oxidation and form, volatile aldehydes and carboxylic acids, which give the unpleasent rancid taste.This, is called oxidative rancidity. It is caused by, free radical reaction initiated by light (photo, oxidation) or catalysed by either enzymes or, metal ions. Polyunsaturated oils containing, greater number of C=C double bonds and, usually become rancid very quickly. High, temperature increases the rate of air oxidation, of unsaturated fats. Extensive oxidation can, lead to some polymerization with consequent, increase in viscosity and browning., iii. Saturated, unsaturated and trans fats :, Can you recall?, 1. How is Vanaspati Ghee made ?, 2.What are the physical states of peanut, oil, butter, animal fat, vanaspati ghee at, room temperature ?, You have noted earlier that fats are, triglycerides of fatty acids. Animal fats, mostly contain saturated fatty acids, while, vegetable oils contain unsaturated fatty acids, as well. Long chains of tetrahedral carbon, atoms in a saturated fatty acid get packed, closely together. Moreover, van der Waal's, forces between the long saturated chains are, sufficiently strong to convert saturated fats, into solid form at room temperature., , The long carbon chains of unsaturated, fatty acids contain one or more C=C double, bonds. This produces one or more 'kinks' in, the chain, (see the Fig. 16.1) which prevent the, molecules from packing closely together. The, van der Waals forces between the unsaturated, chains are weak. The melting points of, unsaturated fats therefore, are lower., Natural fats are mixtures of triglycerides., They do not have sharp melting points, and, usually melt over a range of temperatures. The, more unsaturated the fat lower is its melting, point and less crystalline it is. Some examples, of fats are given in Table 16.1., A C=C can have geometrical isomers cis, and trans. In the cis form of an unsaturated, fatty acid the two hydrogens on the two double, bonded carbons are on the same side of the, double bond, whereas they are on the opposite, sides in the trans isomer. The cis isomer is the, most common form of unsaturated fats. The, trans form occurs only in animal fats and, processed unsaturated fats. Trans fats are, difficult to metabolize and may build up to, dangerous levels in fatty tissue., Fats in the form of lipoprotein are, used in the body for transport of cholesterol., Excessive low density lipoprotein (LDL), results in deposition of cholesterol in blood, vessels, which in turn, results in the increased, risk of cardio vascular disease. There is, some evidence that eating large amounts of, saturated or trans unsaturated fats, increase, the tendency of cholesterol getting deposited in, blood vessels. Cis fats do not cause formation, of such deposits and decrease chance of, developing coronary heart disease., , O, O, , O, O, , O, , OO, , O, , OO, , O, , O, a. A saturated fat molecule, , b. An unsaturated fat molecule., , Fig. 16.1 Molecular shapes of fats (A schematic representation), , 263

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Table 16.1 : Natural fats and their physical states, Mainly Saturated fats, Mainly mono-unsaturated fats Mainly poly-unsaturated fats, Coconut fat/oil, butter fat, lard,, Olive oil, peanut oil, canola oil, Safflower oil, sunflower oil,, margarine, vanaspati ghee, soyabean oil, corn oil, fish oil, solid, liquid, liquid, , iv. Omega-3 : Two categories of the natural, unsaturated fats of concern include those, containing either Omega-3 or Omega-6 fatty, acids. These names are given for the position, of the double bond in a long carbon chain of, the fatty acid. Omega denotes the last carbon, of the carbon chain. Omega-3 fatty acids have, C=C bond between the third and fourth carbon, from the end of a carbon chain., For, example, :, Linolenic, Acid, (9,12,15-octadecatrienoic acid), O, , saturated carbons makes it fat soluble. It is, found in foods such as wheat germ, nuts, seeds,, green leafy vegetables and oils like safflower, oil., For, economic, reason, synthetic, antioxidants are used as additives to increase, the shelf-life of packed foods. Common, structural units found in synthetic antioxidants, are phenolic OH group and tertiary butyl, group. For example BHT, which is 3, 5-di-tertbutyl-4-hydroxytoluene., , C, ω, 9, 12, 15, α, 3, Omega-3 fats are found to raise the High, density lipoprotein HDL (good cholesterol), level of blood. On the contrary, Omega-6, fats are considered to have risk of high blood, pressure. Foods such as walnuts, flaxseeds,, chia seeds, soyabeans, cod liver oil are rich, source of Omega- 3 fatty acids., v. Antioxidants as food additives : An, antioxidant is a substance that delays the, onset of oxidation or slows down the rate of, oxidation of food stuff. It is used to extend, the shelf life of food. Antioxidants react with, oxygen-containg free radicals and thereby, prevent oxidative rancidity., For example, vitamin E (tocopherol) is, HO, , BHT, , 16.2 Compounds with medicinal properties, , CH3, HO, CH3, H 3C, , CH3, , O, CH3, , CH3, , CH3, CH3, , Vitamin E (Tocopherol), , a very effective natural antioxidant which is, added to pack edible oils. The phenolic OH, group in its structure is responsible for its, antioxidant activity, while the long chain of, , 264, , Can you tell?, 1. What type of medicine is applied to a, bruise ?, 2. When is an antipyretic drug used ?, 3. What is meant by a broad spectrum, antibiotic ?, 4. What is the active principle of cinnamon, bark ?, A chemical which interacts with, biomolecules such as carbohydrates, lipids,, proteins and nucleic acid and produces a, biological response is called drug. A drug, having therapeutic and useful biological, response is used as medicine. A medicine, contains a drug as its active ingredient., Besides it contains some additional chemicals, which make the drug suitable for its use as, medicine. Medicines are used in diagnosis,, prevention and treatment of a disease., Drugs being foreign substances in a body,, often give rise to undersirable, adverse side, effects.

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Drug design is an important branch of, medicinal chemistry which aims at synthesis, of new molecules having better biological, response. There is an increasing trend in, the current research in medicinal chemistry, to take cognizance of traditional medical, knowledge such as Ayurvedic medicine or, natural materials to discover new drugs., In this section, we consider some simple, compounds having medicinal properties and, active ingredients of some natural materials, those are traditionally known to possess, medicinal properties., , Molecular structure of paracetamol, , Do you know ?, The drug manufacturing companies, usually have a patent for drugs which are, sold with the brand name. After the expiry, of patent the drug can be sold in the name, of its active ingredient. These are called, generic medicines., 16.2.1 Analgesics and antipyretics, 'Algesis' is a Greek word meaning 'feeling, of pain.' Drugs which give relief from pain are, called analgesics. About half of the analgesics, are anti-inflammatory drugs, which kill, pain by reducing inflammation or swelling., Antipyretics are used to reduce fever., Pain-killing and fever reducing properties, of an extract of bark of willow plant, (commonly found in Europe) have been known, for centuries. In nineteenth century its active, ingredient, salicylic acid (2-hydroxybenzoic, acid) was isolated and purified. The compound, aspirin which is acetyl derivative of salicylic, acid was found to have a fewer side effects, than salicylic acid. It is one of the most widely, used analgesic to date. It however, retains, stomach irritating side effects of salicylic acid., A less problematic pain-killer is paracetamol,, which is a phenol., , Salicylic acid, , Aspirin (prodrug), , 265, , 16.2.2 Antimicrobials : The name, antimicrobial is an umbrella term for any drug, that inhibits or kills microbial cells that include, bacteria, fungi and viruses. Disinfectants are, non-selective antimicrobials, which kill a wide, range of microorganisms including bacteria., Disinfectants are used on non-living surfaces, for example, floors, instruments, sanitary, ware and many others. Antiseptics are used, to sterilise surfaces of living tissue when the, risk of infection is very high, such as during, surgery, on wounds and so on. Antibiotics, are a type of antimicrobial designed to target, bacterial infections within or on the body., a. Antiseptics and disinfectants : Commonly, used antiseptics include inorganics like iodine, and boric acid or organics like iodoform, and some phenolic compounds. Tincture of, iodine (a 2 - 3 percent solution of iodine in, alcohol- water mixture) and iodoform serve, as powerful antiseptics and find use to apply, on wounds. A dilute aqueous solution of, boric acid is a weak antiseptic used for eyes., Various phenols are used as antiseptics and, disinfectants. A dilute aqueous solution of, phenol (known as carbolic acid) was one of, the first antiseptic used in medicine in the late, nineteenth century. It was however, found to be, corrosive. Many chloro derivatives of phenols, have been realized as more potent antiseptics, than the phenol itself. They can be used with, much lower concentrations, which reduce their, corrosive effects. Two of the most common, phenol derivatives in use are trichlorophenol, (TCP) and chloroxylenol. The latter is the, active ingredient (4.8 % W/V) of the popular, antiseptic dettol. The other ingredients of dettol, are isopropyl alcohol, pine oil, castor oil soap,, caramel and water. Thymol obtained from oil, of thyme (a spice plant) is an excellent nontoxic antiseptic. The p-chlorobenzyl phenol is, used as disinfectant in all purpose cleaners.

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Prontosil, Chloroxylenol, , 2, 4, 6 Trichlorophenol, , OH, Sulphapyridine, , Cl, Thymol, , p - Chloro - o - benzylphenol, , b. Antibiotics : Antibiotics are purely synthetic, or obtained from microorganisms (bacteria,, fungi or molds). Arsenic compounds were, known to be highly poisonous to humans since, long. Paul Ehrlich, German bacteriologist, investigated arsenic based organic compounds, in order to produce less toxic substances for, the treatment of syphillis. He discovered, the first effective treatment of syphilis, the, synthetic antibiotic named salvarsan. He was, awarded the Nobel prize for medicine (1908), for this discovery. Ehrlich noticed similarity, in the structures of salvarsan and azodyes., With further investigations he succeded in, synthesis of an effective diazo antibacterial,, prontosil, in 1932. Subsequently it was, discovered that prontosil gets converted into, a simpler compound sulphanilamide in our, body. This gave further direction to research, in drug design which led to discovery of a, wide range of sulpha drugs, analogues to, sulphanilamide. One of the most effective, being sulphapyridine., , Sulphanilamide, , In 1929, Alexander Fleming, discovered the antibacterial properties of, a penicillium fungus. The clinical utility of, the purified active ingredient penicillin as, antibiotic drug was established in the next, thirteen years. This is the first antibiotic, of microbial origin. Chloramphenicol,, isolated in 1947 is another antibiotic of, microbial origin., O, R - C - NH, O, , S, N, , CH3, CH3, COOH, , General structure of penicillin, , O2N, , NH - CO - CHCl2, CH - CH - CH2OH, OH, Chloramphenicol, , Antibiotics can be of three types : broad, spectrum (effective against wide range of, bacteria), narrow spectrum (effective against, one group of bacteria) or limited spectrum, (effective against single organism)., A disadvantage of broad spectrum, antibiotics is that they also kill the useful, bacteria in the alimentary canal. Today many, broad spectrum, narrow spectrum and limited, spectrum antibiotics are known. They are, synthetic, semisynthetic or of microbial origin., , Salvarsan, , Azodye, , 266

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6.2.3 Traditional knowledge in medicine, Do you know ?, The turmeric patent battle :, India won the legal battle against US patent and, Trademark office (PTO) in 1997 and protected its, intelectual property of traditional Indian knowledge, about turmeric against patenting. Dr. Raghunath, Mashelkar, the then Director General of the Council of, Scientific and Industrial Research, New Delhi, India,, led this case and upheld the national pride. In this long, battle the CSIR argued that turmeric, a native Indian, plant, had been used for centuries by its people for, wound healing., Plant, Turmeric, , Wintergreen, , Since ancient times, in India,, many, grandma remedies are, practised for curing ailments. The, ancient medicinal system of India, has documented medicinal uses of, innumerable Indian plants. There is, an increasing trend in the modern, medicinal chemistry to make use, of the traditional knowledge from, various parts of world, to isolate, active ingredients from medicinal, plants and further develop new drugs., Table 16.2 enlists a few medicinal, plants, their medicinal property and, active ingredients therein., , Table 16.2 Active ingredients of some medicinal plants, Medicinal property, Name and structure of the active ingredient, antiseptic, Curcumin, , analgesic, , Methyl salicylate, , O, C, , O, , CH3, , OH, Cinnamon, , antimicrobial for colds, , Cinnamaldehyde, , Clove, , antimicrobial, analgesic, , Eugenol, , Citrus fruits, , antioxidant, , Vitamin C (ascorbic acid), , Indian gooseberry, (amla), , antidiabetic, antimicrobial, antioxidant, , Vitamin C, Gallic acid, , CH = CH - CHO, , 267

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16.3 Cleansing Agents : Cleansing agents are, substances which are used to remove stain, dirt, or clutter on surfaces. They may be natural or, synthetically developed., Can you tell?, •, , Can we use the same soap for bathing, as well as cleaning utensils or washing, clothes ? Why ?, • How will you differentiate between, soaps and synthetic detergent using, borewell water?, 16.3.1 Types of cleansing agents :, Commercially cleansing agents are mainly, of two types depending upon chemical, composition : soaps and synthetic detergents., a. Soaps : Soaps are sodium or potassium, salts of long chain fatty acids. They are, obtained by alkaline hydrolysis of natural, oils and fats with NaOH or KOH. This is, called saponification reaction. Chemically, oils are triesters of long chain fatty acids and, propan-1,2,3-triol commonly known as, glycerol or glycerin. Saponification of oil, produces soap and glycerol., O, CH2 - O - C, O- R, CH - O - C, O - R + 3 NaOH, , saponification, , CH2 - O - C - R, oil/fat, , O, CH2 - OH, ⊕, CH - OH + 3 R - C - ONa, CH2 - OH, , , , glycerin, , Hard water and soap : Soaps are water, soluble. They form scum in hard water, and become inactive. This is because hard, water contains dissolved salts of calcium, and magnesium, which react with soap,, precipitating calcium or magnesium salt of, fatty acid (scum) which sticks to fabric., 2 R - COONa (aq) + CaCl2(aq), (R - COO)2Ca(s) + 2NaCl(aq), Washing soda (Na2CO3) precipitates the, dissolved calcium salts as carbonate and helps, the soap action by softening of water., b. Synthetic detergents : Synthetic detergents, are man made cleansing agents designed to, use even in hard water. There are three types, of synthetic detergents, anionic detergents,, cationic detergents and nonionic detergents., i. Anionic detergents are sodium salts of, long chain alkyl sulfonic acids or long, chain alkyl substituted benzene sulphonic, acids. ii. Cationic detergents are quaternary, ammonium salts having one long chain alkyl, group. iii. Nonionic detergents are ethers, of polyethylene glycol with alkyl phenol or, esters of polyethylene glycol with long chain, fatty acid. Table 16.3 displays some syntheic, detergents., Mechanism of cleansing action : Soaps and, detergents bring about cleansing of dirty,, greasy surfaces by the same mechanism., Dirt is held at the surface by means of oily, matter and, therefore, cannot get washed with, water. The molecules of soaps and detergent, have two parts. One part is polar (called head), and the other part is long nonpolar chain of, carbons (called tail)., Foam, , soap, , The quality of soap depends upon the, nature of oil and alkali used. Potassium, soaps are soft to skin. Therefore toilet soaps, are prepared by using better grades of oil, and KOH. Care is taken to remove excess of, alkali. Laundary soaps are made using NaOH., These also contain fillers like sodium rosinate, (a lathering agents), sodium silicate, borax,, sodium and trisodium phosphate., , 268, , Greasy dirt particle, , Hydrophilic head, , Hydrophobic tail, , Fig. 16.2 : Soap micelle at work

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The polar head (hydrophilic) can dissolve in water which is polar solvent. The nonpolar tail, (hydrophobic) dissolve in oil/fat/grease. The molecules of soap/detergent are arranged around, the oily droplet such that the nonpolar tail points towards the central oily drop while the polar, head is directed towards the water. (see Fig. 16.2) Thus, micelles of soap/detergent are formed, surrounding the oil drops, which are removed in the washing process., Table 16.3 Synthetic detergents, Type, Anionic detergent, , Example, (sodium lauryl sulphate), CH3(CH2)10CH2OSO3 Na⊕, , Use, Household detergent, additive in, toothpaste, , Cationic detergent, , CH3(CH2)15-N⊕(CH3)3Br, (ethyltrimethyl ammonium bromide), CH3(CH2)16- COO (CH2CH2O)n CH2 CH2OH, (an ester), , hair conditioner, germicide, , Nonionic detergent, , liquid dishwash, liquid detergent, , C9H19, , O - (CH2CH2O)nCH2CH2OH, , (an ether), , Exercises, 1. Choose correct option, A. Oxidative Rancidity is, reaction, a. addition, b. subtitution, c. Free radical d. combination, B. Saponification is carried out by, a. oxidation, b. alkaline hydrolysis, c. polymarisation, d. Free radical formation, C. Aspirin is chemically named as, a. Salicylic acid, b. acetyl salicylic acid, c. chloroxylenol , d. thymol, D. Find odd one out from the following, a. dettol, b. chloroxylenol, c. paracetamol d. trichlorophenol, E. Arsenic based antibiotic is, a. Azodye, b. prontosil, c. salvarsan, d. sulphapyridine, F. The chemical used to slow down the, browning action of cut fruit is, a. SO3 , b. SO2, c. H2SO4 , d. Na2CO3, G. The chemical is responsible for the rancid, flavour of fats is, a. Butyric acid b. Glycerol, c. Protein, d. Saturated fat, , H. Health, benefits are obtained by, consumption of, a. Saturated fats, b. trans fats, c. mono unsaturated fats, d. all of these, 2. Explain the following :, A. Cooking makes food easy to digest., B. On cutting some fruits and vegetable, turn brown., C. Vitmin E is added to packed edible oil., D. Browning of cut apple can be prolonged, by applying lemon juice., E. A diluted solution (4.8 % w/v) of, 2,4,6-trichlorophenol is employed as, antiseptic., F. Turmeric powder can be used as, antiseptic., 3. Identify the functional grops in the, following molecule :, A. Aspirin, , 269, , O, , O, , C CH, 3, COOH

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D. Anionic detergents, E. Non-ionic detergents, 8. Explain : mechnism of cleansing Action, of soap with flow chart., 9. What is meant by broad spectrum, antibiotic and narrow spectrum, antibiotics?, 10. Answer in one senetence, A. Name the painkiller obtained from, acetylation of salicyclic acid., B. Name the class of drug often called as, painkiller., C. Who discovered penicillin?, D. Draw the structure of chloroxylenol, and salvarsan., E. Write molecular formula of Butylated, hydroxy toulene., F. What is the tincture of iodine ?, G. Draw the structure of BHT., I., Write a chemical equation for, saponification., J. Write the molecular formula and, name of, COOH, , B. Paracetamol, H, N, , O, , CH3, , HO, C. Penicillin, O, R - C - NH, , S, N, , O, , COOH, , D. Chloramphenicol, O 2N, , NH - CO - CHCl2, CH - CH - CH2OH, OH, , E. Sulphanilamide, SO2NH2, , NH2, F. Glycerin, CH2- OH, CH - OH, CH2- OH, , OCOCH3, , 4. Give two differences between the, following, A. Disinfectant and antiseptic, B. Soap and synthetic detergent, C. Saturated and unsaturated fats, D. Rice flour and cooked rice, 5. Match the pairs., A group, B group, A. Paracetamol, a. Antibiotic, B. Chloramphenicol b. Synthetic, detergent, C. BHT, c. Soap, D. Sodium stearate d. Antioxidant, , e. Analgesic, 6. Name two drugs which reduce body, pain., 7. Explain with examples, A. Antiseptics, B. Disinfectant, C. Cationic detergents, , 11. Answer the following, A. Write two examples of the following., a. Analgesics, c. Antiseptics d. Antibiotics, e. Disinfectant, B. What do you understand by, antioxidant ?, , Activity :, Collect information about different, chemical compounds as per their applications, in day-to-day life., , 270

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271, , Periods, , Series, , 7, , 6, , 5, , 4, , 3, , 2, , 1, , Groups, 1, , 2, , 3, 4, , 5, , 6, 7, , 8, , 9, , 10, , 11, , Modern Periodic Table, , 12, , 13, , 14, , 15, , 16, , 17, , 18

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Notes, , 272

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Standard XI, , I, , Maharashtra State Bureau of Textbook Production and, Curriculum Research, Pune, � 154.00