Question 1 : A sample of gas expands from volume $V_1$ to $V_2$. The amount of work done by the gas is greatest when the expansion is

Question 2 : It is given that a thermodynamic system changes from state A to state B and then back to state A. It is given that the process is reversible. Choose the correct statements.

Question 3 : Diffusion of a gas in a room is not reversible because:

Question 6 : A polyatomic gas $\left ( \gamma =\dfrac{4}{3} \right )$ is compressed to $\dfrac{1}{8}$ of its volume adiabatically. If its initial pressure is P, the new pressure will be<br>

Question 8 : The temperature at which adiabatic change is&#160;equivalent to the isothermal change ?<br/>

Question 9 : Assertion: The second law of thermodynamics states that the entropy of a closed or isolated system always increases. This means that all available energy is used up and there is no more potential for further useful work. Reason: The system becomes disordered and also degraded

Question 11 : Only a part heat energy absorbed can be converted to work by heat engine because:

Question 14 : State whether true or false :In Carnot cycle there are total 4 processes which takes place?

Question 15 : A reversible process changes the state of a system in such a way that the net change in the combined entropy of the system and its surroundings is :

Question 16 : The second law of thermodynamics says that in a cyclic process

Question 17 : Assertion: Stirring the liquid in thermal contact with the reservoir will convert the work done into heat, is an irreversible process. Reason: If it is the reversible process it will violate the second law of thermodynamics.

Question 18 : An irreversible process can be described as a thermodynamic process that:

Question 20 : The statement "It is impossible to construct a heat engine which can convert heat directly to work completely" was given by

Question 21 : Assertion: Reversible systems are difficult to find in real world. Reason: Most processes are dissipative in nature.

Question 22 : A gas expands adiabatically at constant pressure, such that its temperature $T \propto \frac{1}{\sqrt{V}}$. The value of $C_p / C_V$ of the gas is:

Question 24 : Match the following:<br><table class="wysiwyg-table"><tbody><tr><td>List 1</td><td>List 2</td></tr><tr><td>a)Reversible Process</td><td>1)Temperature remains constant</td></tr><tr><td>b)Isothermal Process</td><td>2) Combustion reaction of mixture of petrol and air</td></tr><tr><td>c)Irreversible Process</td><td>3)No heat flow between the system and surrounding</td></tr><tr><td>d)Adiabatic Process</td><td>4)Temperature change in atmosphere</td></tr></tbody></table>

Question 25 : The process in which the internal energy of the&#160;system remains constant is :<br/>

Question 26 : Which of the following statement is true as per the second law of thermodynamics for an isolated, ordered system?<br/>

Question 29 : Which of the following laws of thermodynamics&#160;leads to the inference that it is difficult to convert&#160;whole of heat into work :<br/>

Question 33 : During what kind of process is there no change in internal energy?

Question 34 : A process is approximately reversible. In real life scenarios, this happens only when:

Question 37 : Assertion: For an isothermal process in an ideal gas, the heat obsorbed by the gas is entirely used in the work done by the gas Reason: During a process taking place in a system, if the temperature remains constant then the process is isothermal.

Question 39 : A sink, that is the system where heat is rejected, is essential for the conversion of heat into work. From which law does the above inference follow?<br>

Question 40 : A heat engine absorbs $Q_1$ heat from hot reservoir and work produced by engine is $W$, then:

Question 42 : Assertion: The isothermal curves intersect each other at a certain point. Reason: The isothermal changes takes place rapidly, so the thermal curves have very little slope.

Question 43 : Which of the following is a necessary condition for a process to be reversible?

Question 44 : Which of the following is not the component of heat pump?<br><br>

Question 47 : A cyclic heat engine does 50kJ of work per cycle. If efficiency of engine is 75%, the heat rejected per cycle will be:

Question 48 : The temperature of a one mole of diatomic gas&#160;changes from 4T to T in adiabatic process. If R is&#160;universal gas constant. Then work done<br/>

Question 51 : During one cycle of a heat engine $2000$ calories of heat is supplied and $1500$ calories rejected. The&#160;amount of work done equals:<br/>

Question 52 : A heat engine takes in $900\ J$ of heat from a high-temperature reservoir and produces $300\ J$ of work in each cycle. What is its efficiency?

Question 53 : Assertion: Specific heat capacity is the cause of formation of land and sea breeze. Reason: The specific heat of water is more than land.

Question 54 : The thermal capacity of a body is 80 cal, then its water equivalent is

Question 56 : Calculate the specific heat of the material if material of 10 kilograms raises temperature $2^o C$ when 2000 joules of heat is added.

Question 57 : Which of the following is not a thermodynamics co - ordinate

Question 58 : The heat energy required to raise the temperature of _______ of a substance through ________ is called its specific heat capacity.

Question 59 : When a diatomic gas expands at constant pressure, the percentage of heat supplied that increases temperature of the gas and in doing external work in expansion at constant pressure is:

Question 60 : Three samples of the same gas A, B and $C\left ( \gamma =3/2 \right )$ have initially equal volume. Now the volume of each sample is doubled. The process is adiabatic for A, isobaric for B and isothermal for C. If the final pressures are equal for all the three samples, the ratio of their initial pressures is:<br>

Question 62 : Which of the following statements is correct for any thermodynamic system

Question 63 : The volume of a gas reduced adiabatically to $\dfrac{1}{4}$ of its volume at $27^{o} C$, if the value of $\gamma = 1.4$, then new temperature will be

Question 64 : A given system undergoes a change is which the work done by the system equal the decrease in its internal energy. The system must have undergone an

Question 66 : $W_1,W_2,W_3$ are work done in adiabatic, isobaric and iso-thermal process respectively during an expansion process. Arrange them in increasing order.

Question 67 : An ideal gas initially at $30 K$ undergoes an isobaric expansion at $2.50 \ &#160;kPa$. If the volume increases from $1.00 m^3$ to $3.00 m^3$ and $12.5 \ kJ$ is transferred to the gas by heat,what are its final temperature?

Question 68 : A rigid diatomic ideal gas undergoes an adiabatic process at room temperature,. The relation between temperature and volume of this process is $TV^x$ = constant, then $x$ is :

Question 69 : A piece of iron of mass $2.0\ kg$ has a thermal capacity of $966 \ JK^{-1}$. Find its specific heat capacity in S.I. unit.

Question 71 : A heat engine operates between 2100 K and 700K. Its actual efficiency is 40%. What percentage of its maximum possible efficiency is this ?<br>

Question 72 : A quantity of heat &#8216;Q&#8217; is supplied to a mono-atomic&#160;ideal gas which expands at constant pressure.&#160;The fraction of heat that goes into work done by&#160;the gas is:<br/>

Question 73 : What would be the efficiency of a Carnot engine operating with boiling water as one reservoir and a freezing mixture of ice and water as the other reservoir?

Question 74 : Which of the following can not derermine the state of a thermodynamic system

Question 76 : A thermodynamics cycle takes in heat energy at a high temperature and rejects energy at a lower temperature. If the amount of energy rejected at the low temperature is 3 times the amount of work done by the cycle, the efficiency of the cycle is:

Question 77 : A reversible engine converts one-sixth of the heat input into work. When the temperature of the sink is reduced by $62^{\circ}C$, the efficiency of the and sink are

Question 78 : The work done on the system in an adiabatic&#160;compression depends on :<br/>

Question 79 : The value of $\dfrac{pV}{T}$ for one mole of an ideal gas is nearly equal to

Question 81 : Monoatomic , diatomic and triatomic gases whose initial volume and pressure are same , are compressed till their volume becomes half the initial volume.

Question 83 : A series combination of two Carnots engines operate between the temperatures of $180^0C$ and $20^0C$. If the engines produce equal amount of work,then what is the intermediate temperature(In $^0C$)?

Question 84 : NA heat engine has an efficiency n.Temperatures of source and sink are each decreased by 100 K. The efficiency of the engine:

Question 85 : A scientist that the efficiency of his heat engine which operates at source temperature $127^{\circ}C$ and sink temperature $27^{\circ}C$ is 26% then

Question 86 : The adiabatic Bulk modulus of a diatomic gas at atmospheric pressure is

Question 87 : Compressed air in the tube of a wheel of a cycle at normal temperature suddenly starts coming out of the puncture. The air inside

Question 88 : Half mole of an ideal monoatomic gas is heated at constant pressure of 1 atm from $20^oC$ to $90^oC$. Work done by gas close to : (Gas constant R = 8.31 J / mol. K)

Question 89 : A mass of ideal gas at pressure $P$ is expanded isothermally to four times the original volume and then slowly compressed adiabatically to its original volume. Assuming $\gamma$ to be $1.5$, the new pressure of gas is

Question 90 : The freezer in a refrigerator is located at the top section so that;

Question 91 : During an adiabatic change the density becomes $\cfrac{1}{16}th$ of the initial value, then $\cfrac{P_{1}}{P_{2}}$ is : $\left ( \gamma =1.5 \right )$<br>

Question 92 : For an adiabatic expansion of a perfect gas, the value of $\Delta P/P$ is equal to:

Question 94 : A car is moving with a speed of $40 $ km/hr. If the car engine generated 7 kilowatt power, then the resistive force in the path of the car will be:-<br/>

Question 95 : Which of the following parameters dos not characterize the thermodynamic state if matter,

Question 96 : During the adiabatic change of ideal gas, The relation between the pressure and the density will be -

Question 97 : Gold has a very low specific heat compared to water.<br>Based on this fact alone, which of the following do we know is true?

Question 98 : An ideal gas $\displaystyle\left(\frac{C_p}{C_v}=\gamma\right)$ is taken through a process in which the pressure and the volume vary as $P=aV^b$. The value of b for specific heat capacity as zero is

Question 99 : During an adiabatic process,the cube of the pressureis found to be inversely proportional to the fourth power of the volume. Then, the ratio of specific heats is :-

Question 100 : A refrigerator placed in a room at 300 K has inside&#160;temperature at 264K. How many calories of&#160;heat shall be delivered to the room for each 1 kcal of energy consumed by the refrigerator ideally<br/>

Question 101 : Boiling water is changing into steam. Under this condition, the specific heat of water is<br/>

Question 102 : A sound wave passing through air at $NTP$ produces a pressure of $0.001\ dyne/cm^2$ during a compression. The corresponding change in temperature (given $\gamma = 1.5$ and assume gas to be ideal) is&#160;

Question 103 : The heat capacity at constant volume of a sample of a monoatomic gas is $31.867 \ J/K$. Find the internal energy at $300^{\circ}C$.

Question 104 : Assertion: When a gas is compressed adiabatically it becomes more elastic.<br/> Reason: An increase of pressure makes the medium more elastic.

Question 106 : In a thermodynamic processes, If the amount of work done on the gas by its surrounding is 320 J and the internal energy is increased by 560 J. Calculate the how much heat is transferred between the gas and its surrounding.

Question 107 : A thermally insulated rigid container contains an&#160;ideal gas. It is heated through a resistance coil of&#160;100$\Omega $ by passing a current of 1 A for five minutes,&#160;then change in internal energy of the gas is<br/>

Question 108 : 4.0 kg of a gas occupies 22 . 4 litres at NTP. The specific heat capacity of the gas at constant volume is 5.0 $J K ^ { - 1 }$ $m o l ^ { - 1 }$ If the speed of sound in this gas at NTP is 952 $m s ^ { - 1 }$ then the heat capacity at constant pressure is (Take gas constant R = 8.3 $J K ^ { - 1 }$ $m o l ^ { - 1 }$

Question 109 : $146 \ kJ$ work is performed in order to compress 1 kilomole of gas adiabatically and in this process&#160;the temperature of the gas increases by&#160;$7^{o}C $. The gas is:<br/>(Take $R\; =\; 8.3 &#160;J mole^{-1}K^{-1} $)&#160;<br/>

Question 110 : A 10 watt electric heater is used to heat a container filled with 0.5 kg of water. It is found that the temperature of water and the container rises by $3^o$ K in 15 minutes. The contain r is then emptied, dried and filled with 2 kg of oil. The same heater now raises the temperature of container-oil system by $2^o$K in 20 minutes. Assuming that there is no heat loss in the process and the specific heat of water as 4200 $Jkg^{-1}K^{-1}$ , the specific heat of oil in the same unit is equal to

Question 111 : A cylinder of mass $1$kg is given heat of $20000$J at atmospheric pressure. If initially temperature of cylinder is $20^o$C, find change in internal energy of the cylinder.<br>(Given that Specific heat capacity of cylinder $=400$J $kg^{-1}$ $^0C^{-1}$, Coefficient of volume expansion $=9\times 10^{-5}$ $^0C^{-1}$, Atmospheric pressure $=10^5$ $N/m^2$ and Density of cylinder $=9000$ $kg/m^3$).<br>

Question 113 : Efficiency of a heat engine whose sink is at a temperature of $300 \ K$ is $40$%. To increase the efficiency to $60$%, keeping the sink temperature constant, the source temperature must be increased by :<br/>

Question 114 : An ideal gas at $27^oC$ is compressed adiabatically to $\dfrac{8}{27}$ of its initial value.&#160;If&#160;$\gamma= \dfrac{5}{3}$, find the rise in temperature.

Question 115 : A monoatomic ideal gas, initially at temperature $T_1$, is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expand adiabatically to a temperature $T_2$ by releasing the piston suddenly. If $L_1$ and $L_2$ are lengths of gas column before and after expansion respectively, then $\displaystyle \dfrac{T_1}{T_2}$ is given by

Question 116 : $300$ gm of water at $25^o$C is added to $100$gm of ice at $0^oC$ . Final temperature of the mixture is:

Question 117 : A diatomic ideal gas is compressed adiabatically to $\displaystyle \frac{1}{32}$ of its initial volume. If the initial temperature of the gas is $\mathrm{T}_{\mathrm{i}}$ (in Kelvin) and the final temperature is $\mathrm{a}\mathrm{T}_{\mathrm{i}}$, the value of a is<br>

Question 118 : Two moles of an ideal monoatomic gas, initially at pressure $P_1$ and volume $V_1$ undergo an adiabatic compression until its volume is $V_2$. Then the gas is given heat Q at constant volume $V_2$. Find the total work done by the gas, the total change in its internal energy and the final temperature of the gas.[Give your answers in terms of $P_1, V_1, V_2$Q and R].

Question 119 : When 100 J of heat is given to an ideal gas it expands from 200 $cm^3$ to 400 $ cm^3$ at a constant pressure of $3 \times 10^5$ Pa. Then calculate the&#160;change in internal energy of the gas :$R=\left [ \dfrac{25}{3}J/mol-k \right ]$<br/>

Question 120 : In a particular experiment, a gas undergoes adiabatic expansion satisfying the equation $\displaystyle { VT }^{ 3 }$=constant. The ration of specific heats, $\displaystyle Y $ is:

Question 121 : Net heat released by the system if initial and final temperatures of a gas is same&#160;and work done&#160;is $35 kJ$ is<br/>

Question 122 : Two samples $A$ and $B$ of a gas initially of same pressure and temperature are compressed from a volume $V$ to a volume $\displaystyle \dfrac{\mathrm{V}}{2}$ such that $A$ is compressed isothermally while $B$ is compressed adiabatically. The final <br>

Question 123 : The rise in temperature of an ideal gas ($\displaystyle Y&#160;={ 5 }/{ 3 }$) when at $\displaystyle&#160;{ 27 }^{ o }C$ it is adiabatically compressed to $\dfrac{8}{27}$ of its original volume is:

Question 124 : A gas can expand through two processes : (i) isobaric, (ii) P/V = constant. Assuming that the initial volume is same in both processes and the final volume which is two times the initial volume is also same in both processes, which of the following is true ?

Question 125 : At $\displaystyle&#160;27^{ o }C$ a gas ($\displaystyle \gamma ={ 5 }/{ 3 }$) is compressed suddenly so that its pressure becomes $\dfrac{1}{8}$ of the original pressure. Final temperature of gas would be:

Question 126 : A diatomic ideal gas is compressed adiabatically in order to increase the pressure by $3.5$%. The percentage increment in temperature of the gas is approximately<br/>

Question 127 : Two samples of gases 1 and 2 are initially kept in the same state. Sample 1 is expanded through an isothermal process whereas sample 2 through an adiabatic process up to the same final volume. Let $P_1$ and $P_2$ be the final pressure of the samples 1 and 2 respectively then

Question 128 : If the same quantity of heat is supplied to the gas at constant volume, what will be the final temperature?

Question 129 : Assertion: Straight line on $P-T$ graph for an ideal gas represents isochoric process. Reason: If $P \propto T$ , $V = constant.$

Question 131 : Pure water is kept in an insulated&#160;flask. Some ice&#160;cooled to $-15^{o}C$&#160;is dropped into the flask.The fraction&#160;of water frozen into ice is:<br/>

Question 132 : A gas is compressed from a volume of $2 m^3$ to a volume of $1 m^3$ at a constant pressure of $100 N/m^2$. Then it is heated at constant volume by supplying $150 \ J$ of energy. As a result, the internal energy of the gas :

Question 133 : The relation between internal energy U, pressure P and volume V of a gas in an adiabatic process is U=a+bPV, where a and b are positive constants. What is the value of $\gamma$?

Question 134 : If three different liquid of different masses specific heats and temperature are mixed with each other then what is the temperature of the mixture at thermal equilibrium. If,<br/>$m_1,\,s_1,\,T_1\rightarrow$ specification for liquid<br/>$m_2,\,s_2,\,T_2\rightarrow$ specification for liquid<br/>$m_3,\,s_3,\,T_3\rightarrow$ specification for liquid

Question 135 : Zeroth law of thermodynamics is not valid for which one of the following ?

Question 136 : Three black bodies $A , B$ and $C$ in the form of cubes of sides in the ratio of $3 : 4 : 5$ are kept at the same high temperature. The ratio of the quantity of heat lost per second by $A , B$ and $C$ will be

Question 137 : A reversible engine converts one-sixth of the heat supplied into work. When the temperature of the sink is reduced by $\displaystyle { 62 }^{ \circ }C$, the efficiency of the engine is doubled. The temperature of the source and sink are:

Question 139 : An ideal gas is enclosed in a cylinder with a movable piston on top of it. The piston has a mass of $8000\:g$ and an area of $5.00\:cm^2$ and is free to slide up and down, keeping the pressure of the gas constant. How much work is done on the gas as the temperature of $0.200\:mol$ of the gas is raised from $20.0^\circ C$ to $300^\circ C$?

Question 140 : An iron block of mass $2\;kg$, falls from a height of $10m$. After colliding with the ground it loses $25\%$ energy to surroundings and rest is gained as heat. Then find the temperature rise of the block. (Take sp. heat of iron $470\;J/kg^{\circ}C$)<br/>

Question 141 : Water of mass $m_2$ = 1 kg is contained in a copper calorimeter of mass&#160;$m_1$&#160;&#160;= 1 kg. Their common temperature&#160;t = $10^{0}C$. Now a piece of ice of mass&#160;$m_3$&#160;&#160;= 2 kg and temperature is $-11^{0}C$&#160;dropped into the calorimeter.&#160;Neglecting any heat loss, the final temperature of system is. [specific heat of copper = 0.1 Kcal/ kg$^{0}C$, specific&#160;heat of water = 1 Kcal/kg$^{0}C$, specific heat of ice = 0.5 Kcal/kg$^{0}C$, latent heat of fusion of ice = 78.7 Kcal/kg]

Question 142 : Assertion: Suppose some reaction takes place in a container which has a movable side,then if it is known that for that particular reaction its entropy change is negative then we can necessarily say that that reaction is not possible. Reason: For any process to undergo,its entropy change must be positive.

Question 143 : Heat is supplied to a diatomic gas at constant pressure. The ratio between heat energy supplied and&#160;work done is:( $\gamma$&#160;for diatomic gas $=\dfrac{7}{5}$)

Question 144 : Three samples of the same gas A, B and C$\left( \gamma =3/2 \right) $ have equal volume initially. Now, the volume of each sample is doubled. For A, the process is adiabatic; for B, it is isobaric and for C, the process is isothermal. If the final pressures are equal for all the three samples, the ratio of their initial pressures is

Question 145 : An ideal monoatomic gas at&#160;$\displaystyle { 27 }^{ \circ &#160;}C$ is compressed adiabatically to $8/27$ times of its present volume. The increase in temperature of the gas is:

Question 146 : How much heat energy should be added to the gaseous mixture consisting of $1g$ of hydrogen and $1g$ of helium to raise its temperature from $0^oC$ to $100^oC$.&#160;At constant pressure ($R = 2 \ cal/mol K$)?

Question 148 : A gas in a cylinder held at a constant pressure of $1.7\,\times\, 10^{5}$ Pa and is cooled and compressed from $1.20\, m^{3}\, to\,&#160;0.8\, m^{3}$. The internal energy of the gas decreses by $1.1\, \times\, 10^{5}$ J.<br/>Does it matter whether or not the gas is ideal? Mark 1-&gt;Yes and 0-&gt;No

Question 149 : A litre of dry air at STP expands adiabatically to a volume of $3$ litres. If $\gamma=1.40$, the work done by air is: $(3^{1.4}=4.6555)$ [Take air to be an ideal gas]

Question 150 : Find the quantity of heat required to bring about the change.

Question 151 : Assertion: Rate of diffusion of a gas is inversely proportional to the square rate of its density Reason: Hydrogen is the lightest gas known. so it diffuses most readily

Question 152 : <p class="wysiwyg-text-align-left">A gas at temperature 27$^{0}$C and pressure 30 atmospheres is allowed to expand to one atmospheric pressure. If the volume becomes 10 times its initial volumes, the final temperature becomes :<br/></p>

Question 153 : When a solid object is heated, the molecules that make up&#160;the object:

Question 154 : <p class="wysiwyg-text-align-left">Two containers of equal volume containing the same gas at pressure $P_{1}$ and &#160;$P_{2}$ and absolute temperature &#160;$T_{1}$ and &#160;$T_{2}$ respectively were connected with narrow capillary tube. The gas reaches a common pressure P and a common temperature T. The ratio P/T is equal to :<br/></p>

Question 155 : A gas has a molecular diameter of 0.1 m. It also has a mean free path of 2.25 m. What is its density?<br>

Question 156 : The value of $\gamma$ for gas X is 1.66, then x is :

Question 157 : A polyatomic gas with n degrees of freedom has a mean energy per molecules given by :

Question 158 : The correct relation connecting the universal gas constant (R), Avogadro number N$_A$ and Boltzmann constant (K) is :

Question 159 : The mean kinetic energy of a perfect mono atomic gas molecule at the temperature $T^{o}K$ is :

Question 160 : The height of water fall is 210 m assuming that&#160;the surface on which the water is falling is perfectly&#160;insulated and all the kinetic energy of water&#160;is dissipated as heat. Find the rise in temperature of the water :($g=10m/s^{2}$, Specific&#160;heat of water $=1000 \ cal.Kg^{-1}C^{-1}$ , 1 kcal$=$ 4200 J)<br/>

Question 162 : A vessel has 6g of hydrogen at pressure P and temperature 500K. A small hole is made in it so that hydrogen leaks out. How much hydrogen leaks out if the final pressure is $P/2$ and temperature falls to 300K?

Question 163 : If for a gas $\dfrac{R}{C_{v}}=0.67$, then the&#160;gas is made up of&#160;molecules which are :<br/>

Question 164 : <p class="wysiwyg-text-align-left">The mass of oxygen gas (in Kilo grams) occupying a volume of 11.2 litre at a temperature 27$^{0}$C and a pressure of 76cm of mercury is :</p><p class="wysiwyg-text-align-left">(Molecular weight of oxygen = 32)<br/></p>

Question 165 : Among hydrogen, ice, water and coal, whose particles has maximum kinetic energy?

Question 166 : A bullet travelling at 100 $ms^{-1}$ suddenly hits a concrete wall. If its K.E. is converted completely into heat, the raise in temperature is $\left ( s=100Jkg^{-1}K^{-1} \right )$ :<br/>

Question 168 : <p class="wysiwyg-text-align-left">The Universal gas constant may be expressed as :<br/></p><p class="wysiwyg-text-align-left">a) 8.31 J/mole-K&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160; c) 2.00 J/mole-K</p><p>b) 8.31 cal/mole-K&#160;&#160;&#160;&#160;&#160;&#160;&#160;d) 2.00 cal/mole-K</p>

Question 169 : For any gas the pressure coefficient ($\beta $) is equal to the volume coefficient ($\alpha $). This can be proved by:<p></p>

Question 170 : The mean free path of a gas varies with absolute temperature as :

Question 173 : The amount of heat required to heat 1 mol of a monoatomic gas from 200$^o$C to 250$^o$C will be ............. if the heat required to heat the diatomic gas from 200$^o$C to 300$^o$C is Q.

Question 174 : <p class="wysiwyg-text-align-left">A ballon filled with air at 47$^{0}$C has volume of 3 litre. If ballon is kept in a room its volume becomes 2.7 litre, the temperature of the room is :<br/></p>

Question 175 : The number of degrees of freedom for each atom of a monoatomic gas is :

Question 176 : <p class="wysiwyg-text-align-left">At constant temperature and volume, the mass of a gas is related to pressure as :</p>

Question 177 : The relation PV=RT can describe the behavior of a real gas at :

Question 178 : A gas has an average speed of 10 m/s and a collision frequency of 10 $s^{-1}$. What is its mean free path?<br>

Question 179 : <p class="wysiwyg-text-align-left">If the temperature of a gas is increased by 1 K at constant pressure, its volume increases by 0.0035 of the initial volume. The temperature of the gas is :</p>

Question 180 : If the pressure of an ideal gas contained in a closed vessel is increased by $0.4$%, the increases in temperature is $1^{\circ}C$. The initial temperature of the gas is :

Question 181 : The value of gas constant $R$ (in cal/mol-K) for hydrogen is :

Question 182 : With increases of temperature, the vibration volume in any substance _____

Question 183 : At what temperature will the kinetic energy of gas molecules be double of its value at 27$^o$C?

Question 185 : <p>Three closed vessels A, B and C are at the same temperature T and contain gases which obey Maxwell distribution law of velocities. Vessel A contains $O_2$, B only $N_2$ and C mixture of equal quantities of $O_2$ and $N_2$. If the average speed of $O_2$ molecules in vessel A is $V_1$ and that of $N_1$ molecules in vessel B is $V_2$, then the average speed of the $O_2$ molecules in vessel C is</p><p></p><p></p><p></p><p></p><p></p><p></p><p></p><p></p>

Question 186 : The mean free path of a gas varies with absolute temperature as :

Question 187 : The nature of the graph of pressure 'P' against reciprocal&#160;of volume 'V' of an ideal gas at constant temperature is&#160;

Question 189 : In Rutherford alpha particles scattering experiment, thin layer of which metal was used?

Question 190 : Which of the following property is used to identify whether a substance is a solid, liquid or gas ?

Question 192 : <p class="wysiwyg-text-align-left">The temperature at which the volume of ideal gas is zero is:</p>

Question 193 : If the pressure of a gas is increased then its mean free path becomes :

Question 194 : According to the Boltzmann's law of equipartition of energy, the energy per degree of freedom and at a temperature T K is :

Question 195 : The value of C$_v$ for 1 mol of polyatomic gas is (F $=$ number of degrees of freedom) :

Question 197 : The value of universal gas constant is $8.3\ J/mole/K$, the mean kinetic energy of $32gm$ of oxygen at $-73^oC$ will be

Question 198 : When two gases combine in a chemical reaction, then the volume needed :

Question 199 : State whether true or false:Linear molecules have $3N-5$ vibrational degrees of freedom, whereas non linear molecules have $3N-6$ vibrational degrees of freedom, where N is no. of atoms present in a molecule.

Question 200 : A molecule of gas in a container hits one wall (1) normally and rebounds back. It suffers no collision and hits the opposite wall (2) which is at an angle of $30^o$ with wall 1.<br>Assuming the collisions to be elastic and the small collision time to be the same for both the walls, the magnitude of average force by wall 2. $(F_2)$ provided the molecule during collision satisfy<br>

Question 201 : RMS velocity of an ideal gas at $27^o C$ is $500{m/s}$, Temperature is increased four times, RMS velocity will become.

Question 202 : If the mean kinetic energy per unit volume of a gas is n times its pressure, then the value of n is

Question 203 : For polyatomic molecules having 'f' vibrational modes, the ratio of two specific heats, $\dfrac{C_p}{C_v}$ is ............ <br>

Question 204 : A sample of an ideal gas is contained in a cylinder. The volume of the gas is suddenly decreased. A student makes the following statements to explain the change in pressure of the gas.<br>I. The average kinetic energy of the gas atoms increases.<br>II. The atoms of the gas hit the walls of the cylinder more frequently.<br>III. Temperature of the gas remains unchanged.<br>Which of these statements is true?<br>

Question 205 : The amount of heat energy required to raise the temperature of $1\ g$ of helium in a container of volume $10L$, from $T_{1}\ K$ to $T_{2}\ K$ is ($N_{a} =$ Avogadros number, $k_{B}=$ Boltzmann constant)

Question 206 : A container is filled with $20$ moles of an ideal diatomic gas at absolute temperature $T$. When heat is supplied to gas, temperature remains constant but $8$ moles dissociate into atoms. Heat energy given to gas is&#160;

Question 207 : Water is falling from 160m height. Assuming that half the K.E. of falling water gets converted into heat, the rise in temperature of water is approximately<br>

Question 209 : A gas in a closed container is heated with $10 \,J$ of energy, causing the lid of the container to rise $2m$ with $3N$ of force. What is the total change in energy of the system ?

Question 210 : When x amount of heat is given to a gas at constant pressure, it performs $\displaystyle \frac{x}{3}$ amount of work. The average number of degrees of freedom per molecule of the gas is-<br>

Question 212 : The mean free path of the molecule of a certain gas at 300 K is $2.6\times10^{-5}\:m$. The collision diameter of the molecule is 0.26 nm. Calculate<br>(a) pressure of the gas, and <br>(b) number of molecules per unit volume of the gas.<br>

Question 213 : Ten small planes are flying at a speed of $150$km $h^{-1}$ in total darkness in an air space that is $20\times 20\times 1.5km^3$ in volume. You are in one of the planes, flying at random within this space with no way of knowing where the other planes are. On the average about how long a time will elapse between near collision with your plane. Assume for this rough computation that a safety region around the plane can be approximated by a sphere of radius $10$m.

Question 214 : Find the amount of work done to increase the temperature of one mole of an ideal gas by $30^oC$ if it is expanding under the condition $V_\alpha T^{2/3}$.

Question 215 : A vessel contains a mixture of one mole of oxygen and two moles of nitrogen at $300\ K$. The ratio of the average rotational kinetic energy per $O_{2}$ molecule to per $N_{2}$ molecule is

Question 216 : Which of the following is an assumption of Kinetic theory of matter?

Question 217 : <p class="wysiwyg-text-align-left">The average kinetic energy of hydrogen molecule at NTP will be</p>

Question 218 : The speed of a longitudinal wave in a mixture containing 4 moles of He and 1 mole of Ne at 300 K will be <br/>

Question 219 : Assertion: $V_{rms}$ and $V_{mean}$ of gaseous molecules is nearly of the order of velocity of sound. Reason: The sound travels in air because of vibrational molecular motion.

Question 220 : Assertion: The total translational kinetic energy of all the molecules of a given mass of an ideal gas is 1.5 times the product of its pressure and its volume. Reason: The molecules of a gas collide with each other and the velocities of the molecules change due to the collision.

Question 221 : <p class="wysiwyg-text-align-left">An air bubble rises from the bottom of a deep&#160;lake the radius of the air bubble near the surface&#160;is 'r'. Choose the appropriate radius of the air bubble.</p><p class="wysiwyg-text-align-left">a) r/2 at depth 30m&#160;</p><p class="wysiwyg-text-align-left">b) r/2 at depth 70m</p><p>c) r/3 at depth 140m&#160;</p><p>d) r/3 at depth 260m</p>

Question 222 : The diameter of oxygen molecules is $2.94 \times 10^{-10}m $. The Van der Waals gas constant in m$^3$/mol will be

Question 223 : A vessel of volume V contains a mixture of $1$mole of hydrogen and $1$ mole of oxygen(both considered as ideal). Let $f_1(v)dv$ denote the fraction of molecules with speed between v and $(v+dv)$ with $f_2(v)dv$, similarly for oxygen. then<br>

Question 224 : 24 J of heat are added to a gas in a container, and then the gas does 6 J of work on the walls of the container. What is the change in internal energy for the gas?

Question 225 : Statement - I : The total translational kinetic&#160;energy of all the molecules of a given mass of an&#160;ideal gas is 1.5 times the product of its pressure&#160;and its volume because.<br/>Statement - II : The molecules of a gas collide&#160;with each other and the velocities of the molecules&#160;change due to the collision.<br/><br/>

Question 227 : State whether true or false:Mean free path order for some gases at 273 K and 1 atm P is<br/>$He &gt; H_2 &gt; O_2 &gt; N_2 &gt; CO_2$

Question 228 : At what temperature will the mean molecular energy of a perfect gas be one-third of its value of 27$^o$C?

Question 229 : At constant pressure, the ratio of increase in volume of an ideal gas per degree rise in kelvin temperature to its original volume is (T= absolute temperature of the gas) is

Question 230 : A container is divided into two equal parts I and II by a partition with a small hole of diameter d. The two partitions are filled with same ideal gas, but held at temperatures $T_I=150$K and $T_{II}=300$K by connecting to heat reservoirs. Let $\lambda_I$ and $\lambda_{II}$ be the mean free paths of the gas particles in the two parts such that $d &gt; &gt; \lambda_I$ and $d &gt; &gt; \lambda_{II}$. Then $\lambda_I/\lambda_{II}$ is close to.

Question 231 : <p class="wysiwyg-text-align-left">Three containers of the same volume contain&#160;three gases. The masses of their molecules being&#160;m$_{1}$, m$_{2}$ and m$_{3}$ and number of molecules in these&#160;containers is N$_{1}$, N$_{2}$ and N$_{3}$. The pressure in the&#160;containers are P$_{1}$, P$_{2}$ and P$_{3}$ respectively. All the&#160;gases are now mixed up and put in these&#160;containers. The pressure P of the mixture is</p>

Question 232 : One mole of a monoatomic gas is mixed with 3 mole of a diatomic gas. The molar heat capacity at constant volume of mixture (in cal) is :

Question 233 : The mean free path of conduction electrons in copper is about $4\ \times 10^{-8}\ m$. Find the electric field which can give, on an average, $2\ eV$ energy to a conduction electron in a block of copper.

Question 235 : n moles of an ideal monoatomic gas undergoes an isothermal expansion at temperature T during which its volume becomes 4 times. The work done on the gas and change in internal energy of the gas respectively is

Question 236 : A volume of $2.5\ L$ of a sample of a gas at $27^o$C and $1$ bar pressure is compressed to a volume of $500\ ml$ keeping the temperature constant, the percentage increase in pressure is?

Question 237 : <p class="wysiwyg-text-align-left">A barometer reads 75 cm of mercury. When 2.0cm$^{3}$ of air at atmospheric pressure is introduced&#160;into space above the mercury level, the volume&#160;of the space becomes 50cm$^{3}$. The length by&#160;which the mercury column descends is</p>

Question 238 : <p class="wysiwyg-text-align-left">Assertion: Pressure of gas is same every where inside a closed container</p><p class="wysiwyg-text-align-left">Reason: the gas molecules under go elastic collisions among themselves and with walls</p>

Question 239 : Energy of all molecules of a monatomic gas having a volume $V$ and pressure $P$ is $\displaystyle\frac{3}{2}\:PV$. The total translational kinetic energy of all molecules of a diatomic gas at the same volume and pressure is

Question 240 : A gas has a density of $10$ particles$/m^3$ and&#160;a molecular diameter&#160;of $0.1 $m. What is its mean free path?<br/>

Question 241 : Four cylinders contain an equal number of moles of argon, hydrogen, nitrogen, and carbon dioxide at the same temperature. The energy is minimum in?

Question 242 : Certain amount of an ideal gas is contained in a closed vessel. The vessel is moving with a constant velocity $ v $ The molecular mass of gas is $ M . $ The rise in temperature of the gas when the vessel is suddenly stopped is $ \left(\gamma=C_{P} / C_{V}\right) $

Question 243 : Energy of all molecules of a monatomic gas having a volume $V$ and pressure $P$ is $\displaystyle\frac{3}{2}\:PV$. The total translational kinetic energy of all molecules of a diatomic gas at the same volume and pressure is

Question 244 : A gas has an average speed of $10 m/s$ and an average time of $0.1 s$ between collisions. What is its mean free path?<br/>

Question 245 : A monoatomic ideal gas undergoes a process in which the ratio of $P$ to $V$ at any instant is constant and equal to unity. The molar heat capacity of gas is:

Question 246 : $'N'$ moles of a diatomic gas in a cylinder are at a temperature $'T'$. Heat is supplied to the cylinder such that the temperature remains constant but n moles of the diatomic gas get converted into monatomic gas. What is the change in the total kinetic energy of the gas ?

Question 247 : If the potential energy of a gas molecule is $U=\dfrac{M}{r^6}-\dfrac{N}{r^{12}}, M$ and $N$ being positive constants, then the potential energy at equilibrium must be

Question 248 : An ideal gas is heated in a container that has a fixed volume. Identify which of the following will increase as a result of this heating?<br/>I. The pressure against the walls of the container<br/>II. The average kinetic energy of the gas molecules<br/>III. The number of moles of gas in the container

Question 249 : The degrees of freedom of a triatomic gas is? (consider moderate temperature)

Question 250 : The mean kinetic energy of one mole of gas per degree of freedom (on the basis of kinetic theory of gases) is

Question 251 : In a certain gas $\displaystyle \frac{2}{5}$th of the energy of molecules is associated with the rotation of molecules and the rest of it is associated with the motion of the centre of mass. How much energy must be supplied to one mole of this gas at constant volume to raise the temperature by $1^{\circ}C$?

Question 252 : Root mean square speed of the molecules of ideal gas is $v$. If pressure is increased two times at constant temperature, the $rms$ speed will become:<br/>

Question 253 : A cylindrical tank of height 2 m has its top closed by a tight fitting friction-less piston of negligible mass. The helium gas inside the cylinder is at a pressure of 1 atmosphere. The gas is compressed slowly by pouring mercury on the piston. If the temperature of the gas is maintained constant, then the mercury will spill over the top of the cylinder when the piston is at a height of

Question 254 : Certain amount of an ideal gas are contained in a closed vessel. The vessel is moving with a constant velocity v. The molecular mass of gas is M. The rise in temperature of the gas when the vessel is suddenly stopped is $ ( \gamma = C_p /C_v ) $

Question 255 : The ratio of translational and rotational kinetic energies at 100 K temperature is 3 : 2. Then the internal&#160;energy of one mole gas at that temperature is $[R = 8.3 J/mol-K]$<br/>

Question 256 : <p class="wysiwyg-text-align-left">Two identical containers each of volume V$_{0}$ are joined by a small pipe. The containers contain identical gases at temperature T$_{0}$ and pressure P$_{0}$. One container is heated to temperature 2T$_{0}$ while maintaining the other at the same temperature. The common pressure of the gas is P and n is the number of moles of gas in container at temperature 2T$_{0}$.</p>

Question 257 : A mercury barometer is known to be defective. It contains a small quantity of air in the space above the mercury. When an accurate barometer reads 770 mm, the defective one reads 760 mm and when the accurate one reads 750 mm, the defective one reads 742 mm. The true atmospheric pressure when the defective barometer reads 750 mm is

Question 258 : The equation of a certain gas can be written as $\dfrac {T^{7/5}}{P^{2/5}}=constant$. Its specific heat at constant volume will be :

Question 259 : A closed cylindrical vessel contains $N$ moles of an ideal diatomic gas at a temperature $T$. On supplying heat, the temperature remains same, but $n$ moles get dissociated into atoms. The heat supplied is:

Question 261 : An ideal gas is taken from the state A(pressure $P_0$, volume $V_0$) to the state B (pressure $P_0/2$, volume $2V_0$) along a straight line path in the P-V diagram. Select the correct statement(s) from the following.

Question 262 : The translational kinetic energy of sample of gas in container at $327^oC$ is :

Question 263 : One mole of an ideal gas $\left (C_{v,m}\, =\,&#160;\displaystyle \frac {5}{2} R \right )$&#160;at $300$ K and $5$ atm is expanded adiabatically to a final pressure of $2$ atm against a constant&#160;pressure of $2$ atm. Final temperature of the gas is:

Question 264 : One mole of an ideal gas expands against a constant external pressure of 1 atm from a volume of $10d{ m }^{ 3 }$ to a volume of $30d{ m }^{ 3 }$. What would be the work done in joules?

Question 265 : A vessel contains air at a temperature of $15^{0}C$ and 60% R.H. What will be the R.H if it is heated to $20^{0}C$? (S.V.P at $15^{0}C$ is 12.67 &amp; at $20^{0}C$ is 17.36mm of Hg respectively)

Question 266 : An ideal monoatomic gas $(C_{v}=1.5\ R)$ initially at $298$ K and $1.013$ atm expands adiabatically irreversibly until it is in equilibrium with a constant external pressure of $0.1013$ atm. The final temperature (in Kelvin) of the gas is :

Question 269 : A monoatomic ideal gas ($ {C}_{V} = \dfrac {3}{2} R$) is allowed to expand adiabatically and reversibly from initial volume of 8L&#160;at 300 K to a volume of $ {V}_{2} $&#160;at 250 K.&#160;$ {V}_{2} $&#160;is:&#160;(Given ${(4.8)}^{1/2}$ = 2.2)

Question 270 : One box containing $1$ mole of $He$ at $7/3 T_0$ and other box containing $1$ mole of a polyatomic gas $(\gamma=1.33)$ at $T_0$ are placed together to attain thermal equilibrium. The final temperature becomes $T_f$. Then :<br/>

Question 271 : One mole of an ideal gas $ [{C}_{v,m} = \frac {5}{2}R ] $ at $300$ K and $5$ atm is expanded adiabatically to a final pressure of $2$ atm against a constant pressure of $2$ atm. The final temperature (in Kelvin) of the gas is:

Question 272 : Which of the following will have maximum total kinetic energy at temperature 300 K ?<br>

Question 273 : At $0^\circ$ and $760mm$ Hg pressure, a gas occupies a volume of $100cm^3$. Kelvin temperature of the gas is increased by one-fifth and the pressure is increased one and a half times. Calculate the final volume of the gas

Question 274 : Let $\overline {v}, v_{rms}$ and $v_{p}$, respectively, denote the mean speed, root mean square speed and most probable speed of the molecules in an ideal monatiomc gas at absolute temperature $T$. The mass of a molecules is $m$. Then

Question 275 : The equation of state for 5 g of oxygen at a pressure P and temperature T, when occupying a volume V, will be

Question 276 : One mole each of monatomic, diatomic and triatomic ideal gases (kept in three different containers)&#160;whose initial volume and pressure are same, each is&#160;compressed till their pressure becomes twice the&#160;initial pressure. Then which of the following statements is/are incorrect?<br/>

Question 277 : An ideal gas can be expanded from an initial state to a certain volume through two different processes (i) $PV^2 = constant\:and\:(ii)P = KV^2$ where K is a positive constant. Based on the given situation, choose the correct statements<br>

Question 278 : <p class="wysiwyg-text-align-left">A closed vessel&#160;contains a mixture of two gases Neon &amp; Argon the total&#160;mass of mixture is 28 gm.The partial pressure due to Argon and neon are 4atm and 12atm respectively.The mass of individual&#160;gases in vessel is$(M_{neon}=20,M_{argon}=40,R=8.3J/mol-k)$</p>

Question 279 : A rigid container has a hole in its wall. When the container is evacuated, its weight is 100 gm. When someair is filled in it at 27C, its weight becomes 200 gm. Now the temperature of air inside is increased by $\Delta$ T, the weight becomes 150 gm. $\Delta$ T should be :

Question 280 : A certain mass of an ideal gas undergoes a reversible isothermal compression. Its molecules,&#160;compared with the initial state,&#160;will then have the same<br/>(i) root mean square velocity<br/>(ii) mean momentum<br/>(iii) mean kinetic energy<br/>

Question 281 : 2 moles of an ideal gas A ($ {C}_{P} $ $= 4R$) and 4 moles of an ideal gas B ($ {C}_{V} $ $= \dfrac {3R}{2}$) are taken together in a&#160;container and allowed to expand reversibly and adiabatically from 49L to 64L, starting from an initial&#160;temperature of $ {47}^{0} $C. The final temperature of the gas is :

Question 282 : The heat capacity of a certain amount of a particular gas at constant pressure is greater than that at constant volume by 29.1 J/K. Match the items given in Column I with the items given in Column II.<table class="wysiwyg-table"><tbody><tr><td>List 1</td><td>List 2</td></tr><tr><td>If the gas is monatomic, heat capacity at constant volume</td><td>131 J/K</td></tr><tr><td>If the gas monatomic, heat capacity at constant pressure</td><td>43.7 J/K</td></tr><tr><td>If the gas is rigid diatomic, heat capacity at constant pressure</td><td>72.7 J/K</td></tr><tr><td>If the gas is vibrating diatomic, heat capacity at constant pressure</td><td>102 J/K</td></tr></tbody></table>

Question 283 : Two&#160;blocks of the same metal having the same mass and at temperature $T_1$&#160; and $T_2$, respectively. are brought in contact with each other and allowed to attain thermal equilibrium at constant pressure. The change in entropy, $\Delta S$, for this process is :

Question 284 : <b>A vessel of volume $0.3 \ { { m }^{ 3 } }$ contains Helium at $20.0$. The average kinetic energy per molecule for the gas is:</b>

Question 285 : The heat capacity of liquid water is $75.6J/K-mol$, while the enthalpy of fusion of ice is $6.0kJ/mol$. What is the smallest number of ice cubes at ${0}^{o}C$, each containing $9.0g$ of water, needed to cool $500g$ of liquid water from ${20}^{o}C$ to ${0}^{o}C$?

Question 286 : Two rigid boxes containing different ideal gases&#160;are placed on a table. Box A contains one mole&#160;of $N_{2}$ at temperature $T_{0}$, while box B contains one&#160;mole of $H_{2}$ at temperature 7/3 $T_{0}$. The boxes are&#160;then put into thermal contact with each other and&#160;heat flows between them until the gases reach a&#160;common final temperature [Ignore the heat&#160;capacity&#160;of boxes]. Then the final temperature of&#160;the gases $T_{f}$ in terms of $T_{0}$ is<br/>

Question 287 : If the ideal gas is diatomic and its increase in internal energy is $100\,\,J$ then the work performed by gas is : <br>(Ignore vibrational degree of freedom)

Question 288 : <p class="wysiwyg-text-align-left">If an air bubble rises from the bottom of a mercury tank to the top its volume become $1\frac{1}{2}$times. When normal pressure is 76 cm of Hg then the depth of the Hg tank is</p>

Question 289 : On heating 128 g of oxygen gas from 0$^{\circ}$C to 100$^{\circ}$C, $C_V$ and $C_P$ on an average are 5 and 7 cal mol$^{-1}$ degree$^{-1}$, the value of $\Delta$U and $\Delta$H are respectively :

Question 290 : In a certain gas $\displaystyle \frac{2}{5}$th of the energy of molecules is associated with the rotation of molecules and the rest of it is associated with the motion of the centre of mass. The average translation energy of one such molecule, when the temperature is $27^{\circ}C$ is given by $x\times 10^{-23}\ J$,then find $x$?<br/>

Question 291 : The volume of mole of a prefect gas at NTP is&#160;______.

Question 292 : A gaseous mixture enclosed in a vessel consists of one g mole of a gas A with $\displaystyle \gamma =\left ( \frac{5}{3} \right ) $ and some amount of gas B with $\displaystyle \gamma = \frac{7}{5} $ at a temperature The gasses A and B do not react with each other and are assumed to be ideal Find the number of g moles of the gas B if $\displaystyle \gamma $ for the gaseous mixture is $\displaystyle \left ( \frac{19}{13} \right ) $

Question 293 : For silver , $C_p(JK^{-1}mol^{-1})=23+0.01T$. If the temperature (T) of 3 moles of silver is raised from $300K$ to $1000K$ at $1\ atm$ pressure, the value of $\Delta H$ will be close to:&#160;

Question 295 : $5$ moles of an ideal gas at $100 \,K$ are allowed to undergo reversible compression till its temperature becomes $200 \,K$.<br/>If $C_v = 28 \,JK^{-1} mol^{-1}$, calculate $\Delta U$ and $\Delta PV$ for this process. $(R = 8.0 \,JK^{-1} mol^{-1})$

Question 297 : A vessel contains air and saturated vapor. The pressure of air is $\mathrm{p}_{2}$ and $\mathrm{p}_{1}$ is the S.V. P. On compressing the mixture to one-fourth of its original volume, what is the increase in pressure of the mixture?<br/>

Question 298 : The kinetic energy of $ 1g $ molecule of a gas at normal temperature and pressure is :<br/>

Question 299 : There are two vessels of same consisting same no of moles of two different gases at same temperature . One of the gas is $CH_{4}$ &amp; the other is unknown X. Assuming that all the molecules of X are under random motion whereas in $CH_{4}$ except one all are stationary. Calculate $Z_{1}$ for X in terms of $Z_{1}$ of $CH_{4}$. Given that the collision diameter for both gases are same &amp; $\displaystyle (U_{rms})_{x}=\frac{1}{\sqrt{6}}(Uav)_{CH_{4}}$.<br>

Question 300 : One half mole each of nitrogen, oxygen and carbon dioxide are mixed in enclosure of volume $5$ litres and temperature $27^o$C. The pressure exerted by mixture is $(R=8.31J mol^{-1}K^{-1})$