MCQ Test of 12 th Class, Physics & Mathematics & Chemistry & Biology & Marathi & English & Geography Kinetic Theory of Gases and Radiation - Study Material
Question 1 :
If the pressure of a gas remains constant and the temperature is doubled as a result of it the volume of the gas also gets doubled. Identify by which of the following law this can be explained ?
Question 2 :
<span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small"></span></span><p class="wysiwyg-text-align-left">Select the correct formula :</p><p class="wysiwyg-text-align-left">(where k=Boltzmann's constant, R= gas constant, n= moles, r = density, M= molecular weight, p= pressure, T= kelvin temperature, V= volume)<br/></p><p class="wysiwyg-text-align-left"><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">a) k=RN$_{av}$</span></span><span class="wysiwyg-font-size-xx-small"><span class="wysiwyg-font-size-xx-small"> </span></span></p><p class="wysiwyg-text-align-left"><span class="wysiwyg-font-size-xx-small"><span class="wysiwyg-font-size-xx-small"></span></span><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">b)$r=\dfrac{nM}{V}$</span></span></p><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small"></span></span><p class="wysiwyg-text-align-left">c)$\dfrac{p}{r}=\dfrac{RT}{M}$</p><p class="wysiwyg-text-align-left"><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">d) R=kN$_{av}$</span></span></p>
Question 3 :
<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 6 :
The nature of the graph of pressure 'P' against reciprocal of volume 'V' of an ideal gas at constant temperature is
Question 7 :
What happens to the density of the gas if the volume of an ideal gas is reduced to half its original volume:
Question 8 :
<span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small"></span></span><p class="wysiwyg-text-align-left">If the volume of the gas is to be increased by 4 times :</p>
Question 9 :
An ideal gas is enclosed in a sealed container. Upon heating, which property of the gas does not change?
Question 10 :
Two gases A and B are taken in same volume containers under similar conditions of temperature and pressure. In container A, there are '2N' molecules of gas A. How many number molecules does container B have? <br/>
Question 11 :
<p class="wysiwyg-text-align-left">16 gm of $O_{2}$ gas and x gm of $H_{2}$ gas occupy the same volume at the same temperature and pressure. Then x is :<br/></p>
Question 12 :
Which of the following statements is the most accurate with regard to the significance of Avogadro's number, $6.02 \times 10^{23}$ ?
Question 13 :
Which of the following property is used to identify whether a substance is a solid, liquid or gas ?
Question 14 :
<span>A box has two compartments of equal volume separated by a divider each compartment filled with a random sample of $'n\ '$ </span><span>moles of a certain gas, but the pressure in compartment $A$ </span><span>is twice the pressure in compartment $B$. Identify w</span><span>hich of the following statements is true?</span>
Question 15 :
<span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small"></span></span><p class="wysiwyg-text-align-left">The parameter that determine the physical state of gas are :<br/></p><p class="wysiwyg-text-align-left">a) Pressure b) Volume</p><p>c) Number of moles d) Temperature</p>
Question 16 :
$O_2$ is filled in a cylinder. When pressure is increased $2$ times, temperature becomes four times, then how much times their density will become
Question 17 :
<span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small"></span></span><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 18 :
The volume of a mole of a perfect gas at NTP is
Question 19 :
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 20 :
Which of the following statements is correct regarding one mole of helium gas and one mole of neon gas ,both are at <i>STP</i><span>. </span>
Question 21 :
A closed vessel has $6 g$ of hydrogen at pressure P and temperature $500 K$. A small hole is made in it so that hydrogen leaks out. How much hydrogen (in gm) leaks out if the final pressure is $P/2$ and temperature falls to $300 K$.
Question 22 :
<span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small"></span></span><p class="wysiwyg-text-align-left">The relation between volume V, pressure P and absolute temperature T of an ideal gas is PV = <span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small"><i>x</i></span></span><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">T, where x</span></span><i><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small"> </span></span></i><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">is a constant. The value of x</span></span><i><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small"> </span></span></i><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">depend </span></span>upon</p>
Question 23 :
A gas at $27^{o}$C and pressure of 30 atm. is allowed to expand to atmospheric pressure and volume 1.5 times larger. The final temperature of gas is
Question 24 :
Assertion: Air pressure in a car tyre increases during driving
Reason: Absolute pressure in a car tyre increases during driving
Question 26 :
A box contains two compartments of equal volume separated by a divider. The two compartments each contain a random sample of n moles of a certain gas, but the pressure in compartment A is twice the pressure in compartment B . Which of the following statements is true?
Question 27 :
<span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small"><p class="wysiwyg-text-align-left">The volume of a gas is 5 litres at N.T.P. what <span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">will be its volume at 273$^{0}$</span></span><span class="wysiwyg-font-size-xx-small"><span class="wysiwyg-font-size-xx-small"> </span></span><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">C and at a </span></span>pressure of four atmospheres </p></span></span>
Question 28 :
One gram molecule of any gas at $NTP$ occupies $22.4\ L$. This fact was derived from:
Question 29 :
A vessel containing 1 g of oxygen at a pressure of 10 atm and a temperature of 47$^o$C. If is found that because of a leak, the pressure drops to 5/8th of its original value and the temperature galls to 27$^o$C. Find the volume of the vessel and the mass of oxygen that is leaked out.
Question 30 :
<span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small"></span></span><p class="wysiwyg-text-align-left">Equation of gas in terms of pressure $p$ absolute temperature $T$ and density $d$ is :</p>
Question 31 :
By what percentage should the pressure of a given mass of a gas be increased so as to decrease its volume by 10% at a constant temperature?
Question 32 :
<span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small"><p class="wysiwyg-text-align-left">The absolute temperature T of a gas is plotted against its pressure P for two different constant <span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">volumes V$_{1}$</span></span><span class="wysiwyg-font-size-xx-small"><span class="wysiwyg-font-size-xx-small"> </span></span><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">and V$_{2}$ </span></span><span class="wysiwyg-font-size-xx-small"><span class="wysiwyg-font-size-xx-small"> </span></span><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">where V$_{1}$</span></span><span class="wysiwyg-font-size-xx-small"><span class="wysiwyg-font-size-xx-small"> </span></span><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">> V$_{2}$</span></span><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">. T is plotted </span></span>along x-axis and P along y-axis.</p></span></span>
Question 33 :
Two identical glass spheres filled with air are connected by a horizontal glass tube. The glass tube contains a pellet of mercury at its mid-point. Air in one sphere is at $0^o$C and the other is at $20^o$C. If both the vessels are heated through $10^o$C, then neglecting the expansions of the bulbs and the tube.
Question 34 :
Three perfect gases at absolute temperatures $\mathrm{T}_{1},\ \mathrm{T}_{2}$ and $\mathrm{T}_{3}$ are mixed. The masses of molecules are $\mathrm{m}_{1},\ \mathrm{m}_{2}$ and $\mathrm{m}_{3}$ and the number of molecules are $\mathrm{n}_{1},\ \mathrm{n}_{2}$ and $\mathrm{n}_{3}$ respectively. Assuming no loss of energy, the final temperature of the mixture is:<br/>
Question 35 :
<p class="wysiwyg-text-align-left"><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">A gas is heated through $1^{o}\ C$</span></span><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small"> in a closed vessel. </span></span>Its pressure is increased by $0.4$%. The initial emperature of the gas is</p>
Question 36 :
<p class="wysiwyg-text-align-left"><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">If </span></span><em>$\rho $</em><i> </i><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">is the density, m is the mass of 1 molecule and </span></span><span>K is the Boltzman constant for a gas then the pressure </span><span>of the gas is:</span></p>
Question 37 :
A quantity of air $(\gamma = 1.4)$ at 27$^o$C is compressed suddenly, the temperature of the air system will
Question 38 :
<span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small"></span></span><p class="wysiwyg-text-align-left">A one litre sphere and a two litre sphere are <span>connected with a capillary tube of negligible volume. </span><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">They contain an ideal gas at 27$^{0}$</span></span><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">C at a pressure of </span></span><span>100cm of Hg. Keeping the temperature of one litre </span><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">sphere constant at 27$^{0}$</span></span><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">C, if temperature of two litre </span></span><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">sphere is increased to 127$^{0}$</span></span><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">C, then the final </span></span><span>pressure is</span></p>
Question 39 :
According to Avogadro's hypothesis, equal volumes of gases under the same conditions of temperature and pressure will contain:
Question 40 :
<span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small"></span></span><p class="wysiwyg-text-align-left">At. N.T.P. 28 gm of Nitrogen occupies 22.4 liters. What is the mass of 5.6 liters of <span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">nitrogen at 38cm of Hg pressure and 273$^{0}$</span></span><span class="wysiwyg-font-size-xx-small"><span class="wysiwyg-font-size-xx-small"> </span></span><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">C </span></span>temperature?</p>
Question 41 :
<p class="wysiwyg-text-align-left"><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">At the top of a mountain a thermo meter read 7$^{0}$ </span></span><span>C and barometer reads 70 cm of Hg. At the </span><span>bottom of the mountain the barometer reads </span><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">76cm of Hg and thermometer reads 27$^{0}$</span></span><span class="wysiwyg-font-size-xx-small"><span class="wysiwyg-font-size-xx-small"> </span></span><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">C. The </span></span><span>density of air at the top of mountains is ______ </span><span>times the density at the bottom.</span></p>
Question 42 :
If the volume of an ideal gas is doubled while its temperature is quadrupled, does the pressure
Question 43 :
<span>The African bombardier beetle stenaptinus insignis can emit a jet of defensive spray from the movable tip of its abdomen. The beetle's body has reservoirs of two different chemicals. When the beetle is disturbed, these chemicals are combined in a reaction chamber producing a compounds that is warmed from $20^o$C to $100^o$C by the heat of reaction. The high pressure produced allows the compound to the sprayed out at speeds 19 ms$^{-1}$ scaring away predators of all kinds. Assume specific heat of two chemicals and the spray to be same as that of water $[4.19 \times 10^3 J (kgK)^{-1}]$ and initial temperature of chemicals to be $20^o$C. </span>How many times does the pressure increase?
Question 44 :
<span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small"></span></span><p class="wysiwyg-text-align-left">1000c.c of a permanent gas at constant pressure is heated from 27$^{0}$ C to 327$^{0}$ C. The new volume will be</p>
Question 45 :
<span>An ideal gas is enclosed in a perfectly closed box.On increasing the temperature of the gas, which property of the gas does not change?</span>
Question 46 :
<span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small"><p class="wysiwyg-text-align-left">A given amount of gas is heated until both its pressure and volume are doubled. If <span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">initial temperature is 27$^{0}$</span></span><span class="wysiwyg-font-size-xx-small"><span class="wysiwyg-font-size-xx-small"> </span></span><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">C, its final temperature is</span></span></p></span></span>
Question 47 :
<span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small"><p class="wysiwyg-text-align-left">For an isochoric process the temperature at which the pressure of a gas will be double that of its <span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">pressure at 270$^{0}$</span></span><span class="wysiwyg-font-size-xx-small"><span class="wysiwyg-font-size-xx-small"> </span></span><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">C is</span></span></p></span></span></span>
Question 49 :
<span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small"></span></span><p class="wysiwyg-text-align-left">A reciever has a pressure of 144cm of Hg. After <span>two strokes with an exhaust pump, the pressure </span><span>is 36cm of Hg. After another two strokes the </span><span>pressure will be.</span></p>
Question 50 :
One gram mol of helium at 27$^{0}$ C is mixed with three gram mols of oxygen at 127$^{0}$ C at constant pressure. If there is no exchange of heat with the atmosphere then the final temperature will be
Question 51 :
During an experiment, an ideal gas is found to obey a condition $\displaystyle \frac{P^{2}}{\rho}\, =\, constant\, (\rho\, =\, density\, of\, the\, gas)$ The gas is initially at temperature T, pressurre P and density $\rho$. The gas expands such that density changes to $\rho/2$
Question 52 :
<p class="wysiwyg-text-align-left"><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">Two identical containers each of volume V$_{0}$</span></span><span class="wysiwyg-font-size-xx-small"><span class="wysiwyg-font-size-xx-small"> </span></span><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">are </span></span>joined by a small pipe. The containers contain <span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">identical gases at temperature T$_{0}$</span></span><span class="wysiwyg-font-size-xx-small"><span class="wysiwyg-font-size-xx-small"> </span></span><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">and pressure </span></span><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">P$_{0}$</span></span><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">. One container is heated to temperature 2T$_{0}$ </span></span>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 <span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">container at temperature 2T$_{0}$</span></span><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">.</span></span></p>
Question 53 :
Keeping the number of moles, volume and pressure the same, which of the following are the same for all ideal gas?<br>
Question 54 :
<span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small"><p class="wysiwyg-text-align-left">A glass tube sealed at both ends is 1m long. It lies horizontally with the middle 10 cm containing Hg. The two ends of the tube equal in length <span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">contain air at </span></span>27$^{0}$<i>C </i><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">and pressure 76 cm of Hg. </span></span><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">The temperature at one end is kept </span></span>0$^{0}$<i>C </i><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">and at </span></span><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">the other end it is </span></span>127$^{0}$<i>C </i><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">Neglect the change </span></span>in length of Hg column. Then the change in length on two sides is</p></span></span>
Question 55 :
Two gases occupy two containers A and B. The gas in A of volume $0.11\, m^3$ exerts a pressure of 1.38 MPa. The gas in B of volume $0.16\, m^3$ exerts a pressure of 0.69 MPa. Two containers are united by a tube of negligible volume and the gases are allowed to intermingle. What is the final pressure in the container if the temperature remains constant ?