1. At a given temperature, the pressure of an ideal gas of density \[\rho\] is proportional to

a) \[\frac{1}{\rho^{2}}\]

b) \[\frac{1}{\rho}\]

c) \[\rho^{2}\]

d) \[\rho\]

Explanation:

2. Consider a gas with density \[\rho\] and \[\bar{C}\] as the root mean square velocity of its molecules contained in
a volume. If the system moves as whole with velocity v, then the pressure exerted by the gas is

a) \[\frac{1}{3}\rho\bar{C}^{2}\]

b) \[\frac{1}{3}\rho \left(C+V\right)^{2}\]

c) \[\frac{1}{3}\rho \left(C-V\right)^{2}\]

d) \[\frac{1}{3}\rho \left(C^{-2}-V\right)^{2}\]

Explanation: \[\frac{1}{3}\rho\bar{C}^{2}\]

3. If the mean free path of atoms is doubled then the pressure of gas will become

a) P/4

b) P/2

c) P/8

d) P

Explanation: If the mean free path of atoms is doubled then the pressure of gas will become P/2

4. Relationship between P,V, and E for a gas is

a) \[P=\frac{3}{2}EV\]

b) \[V=\frac{2}{3}EP\]

c) \[PV=\frac{3}{2}E\]

d) \[PV=\frac{2}{3}E\]

Explanation: Relationship between P,V, and E for a gas is \[PV=\frac{2}{3}E\]

5. The value of universal gas constant is 8.3 J/mole/K, the mean kinetic energy of 32 gm of
oxygen at – 73°C will be

a) 480 J

b) 4980 J

c) 2490 J

d) The information is incomplete

Explanation:

6. For a diatomic gas change in internal energy for unit change in temperature for constant pressure and constant volume is \[U_{1}\] and \[U_{2}\] respectively.
\[U_{1}:U_{2}\] is

a) 5 : 3

b) 3 : 5

c) 1 : 1

d) 5 : 7

Explanation: \[U_{1}:U_{2}\] is 1 : 1

7. If number of molecules of \[H_{2}\] are double than that of \[O_{2}\] , then ratio of kinetic energy of hydrogen
and that of oxygen at 300 K is

a) 1 : 1

b) 1 : 2

c) 2 : 1

d) 1 : 16

Explanation: If number of molecules of \[H_{2}\] are double than that of \[O_{2}\] , then ratio of kinetic energy of hydrogen and that of oxygen at 300 K is 1 : 1

8. The average kinetic energy of a gas at – 23°C and 75 cm pressure is \[5 \times10^{-14}erg\] for \[H_{2}\] . The mean kinetic energy of the \[O_{2}\] at 227°C and 150 cm
pressure will be

a) \[80 \times10^{-14}erg\]

b) \[20 \times10^{-14}erg\]

c) \[40 \times10^{-14}erg\]

d) \[10 \times10^{-14}erg\]

Explanation:

9. The ratio of mean kinetic energy of hydrogen and oxygen at a given temperature is

a) 1 : 16

b) 1 : 8

c) 1 : 4

d) 1 : 1

Explanation: The ratio of mean kinetic energy of hydrogen and oxygen at a given temperature is 1 : 1

10. The ratio of mean kinetic energy of hydrogen and nitrogen at temperature 300 K and 450 K
respectively is

a) 3 : 2

b) 2 : 3

c) 2 : 21

d) 4 : 9

Explanation: