1. One mole of monoatomic gas and three moles of diatomic gas are put together in a container. The molar specific heat \[\left( J K^{-1}mol ^{-1}\right)\] at constant
volume is \[\left(R=8.3 J K^{-1}mol ^{-1}\right)\]

a) 18.7

b) 18.9

c) 19.2

d) None of the above

Explanation:

2. The temperature of argon, kept in a vessel, is raised by \[1 ^{\circ}C\] at a constant volume. The total heat supplied to the gas is a combination of
translational and rotational energies. Their respective shares are

a) 60% and 40%

b) 40% and 60%

c) 50% and 50%

d) 100% and 0%

Explanation: 100% and 0%

3. On giving equal amount of heat at constant volume to 1 mol of a monoatomic and a diatomic gas the rise in temperature \[\left(\triangle T\right)\] is more for

a) Monoatomic

b) Diatomic

c) Same for both

d) Can not be predicted

Explanation: Monoatomic

4. The kinetic energy, due to translational motion, of
most of the molecules of an ideal gas at absolute
temperature T is

a) kT

b) k/T

c) T/k

d) 1/kT

Explanation: kT

5. The number of translational degrees of freedom for a diatomic gas is

a) 2

b) 3

c) 5

d) 6

Explanation: The number of translational degrees of freedom for a diatomic gas is 3

6. The value of the gas constant (R) calculated from the perfect gas equation is 8.32 joules/gm mole K, whereas its value calculated from the knowledge
of \[C_{P}\] and \[C_{v}\] of the gas is 1.98 cal/gm mole K. From this data, the value of J is

a) 4.16 J / cal

b) 4.18 J / cal

c) 4.20 J / cal

d) 4.22 J / cal

Explanation: 4.20 J / cal

7. For a gas if ratio of specific heats at constant pressure and volume is \[\gamma\] then value of degrees of
freedom is

a) \[\frac{3\gamma-1}{2\gamma-1}\]

b) \[\frac{2}{\gamma-1}\]

c) \[\frac{9}{2}{\gamma-1}\]

d)\[\frac{25}{2}{\gamma-1}\]

Explanation: For a gas if ratio of specific heats at constant pressure and volume is \[\gamma\] then value of degrees of freedom is \[\frac{2}{\gamma-1}\]

8. The ratio of specific heat of a mixture of one mole of helium and one mole of hydrogen gas will be

a) 1

b) 1.5

c) 1.53

d) 1.33

Explanation: The ratio of specific heat of a mixture of one mole of helium and one mole of hydrogen gas will be 1.5

9. For a gas \[\gamma=7\diagup5\] . The gas may probably be

a) Helium

b) Hydrogen

c) Argon

d) Neon

Explanation: For a gas \[\gamma=7\diagup5\] . The gas may probably be Hydrogen

10. If a gas has n degrees of freedom ratio of specific heats of gas is

a) \[\frac{1+n}{2}\]

b) \[1+\frac{1}{n}\]

c) \[1+\frac{n}{2}\]

d) \[1+\frac{2}{n}\]

Explanation: If a gas has n degrees of freedom ratio of specific heats of gas is \[1+\frac{2}{n}\]