1. Equation of gas in terms of pressure (P), absolute temperature (T) and density (d) is

a) \[\frac{P_{1}}{T_{1}d_{1}}=\frac{P_{2}}{T_{2}d_{2}}\]

b) \[\frac{P_{1}T_{1}}{d_{1}}=\frac{P_{2}T_{2}}{d_{2}}\]

c) \[\frac{P_{1}d_{2}}{T_{1}}=\frac{P_{2}d_{1}}{T_{1}}\]

d) \[\frac{P_{1}d_{1}}{T_{1}}=\frac{P_{2}d_{2}}{T_{2}}\]

Explanation:

2. At constant pressure, the ratio of increase in volume of an ideal gas per degree raise in kelvin temperature to it's original volume is (T =
absolute temperature of the gas)

a) T

b) \[T^{2}\]

c) \[\frac{1}{T}\]

d) \[\frac{1}{T^{2}}\]

Explanation: At constant pressure, the ratio of increase in volume of an ideal gas per degree raise in kelvin temperature to it's original volume is \[\frac{1}{T}\]

3. Figure shows two flasks connected to each other. The volume of the flask 1 is twice that of flask 2. The system is filled with an ideal gas at
temperature 100 K and 200 K respectively. If the mass of the gas in 1 be m then what is the mass of the gas in flask 2

a) m

b) \[\frac{m}{2}\]

c) \[\frac{m}{4}\]

d) \[\frac{m}{8}\]

Explanation: \[\frac{m}{4}\]

4. If the molecular weight of two gases are \[m_{1}\] and \[m_{2}\] , then at a temperature the ratio of root mean square velocity \[v_{1}\] and \[v_{2}\] will be

a) \[\sqrt{\frac{m_{1}}{m_{2}}}\]

b) \[\sqrt{\frac{m_{2}}{m_{1}}}\]

c) \[\sqrt{\frac{m_{1}+m_{2}}{m_{1}-m_{2}}}\]

d) \[\sqrt{\frac{m_{1}-m_{2}}{m_{1}+m_{2}}}\]

Explanation:

5. To what temperature should the hydrogen at 327°C be cooled at constant pressure, so that the root mean square velocity of its molecules become
half of its previous value

a) – 123°C

b) 123°C

c) – 100°C

d) 0°C

Explanation:

6. At a certain temperature, the r.m.s. velocity for \[O_{2}\] is 400 m/sec. At the same temperature, the r.m.s. velocity for \[H_{2}\] molecules will be

a) 100 m/sec

b) 25 m/sec

c) 1600 m/sec

d) 6400 m/sec

Explanation:

7. At a pressure of \[24 \times10^{5}dyne\diagup cm^{2}\] , the volume of \[O_{2}\] is 10 litre and mass is 20 gm. The r.m.s.
velocity will be

a) 800 m/sec

b) 400 m/sec

c) 600 m/sec

d) Data is incomplete

Explanation:

8. The r.m.s. velocity will be greater for

a) Hydrogen

b) Oxygen

c) Equal for both

d) Nothing is definite

Explanation: The r.m.s. velocity will be greater for hydrogen

9. In thermal equilibrium, the average velocity of gas molecules is

a) Proportional to \[\sqrt{T}\]

b) Proportional to \[T^{2}\]

c) Proportional to \[T^{3}\]

d) Zero

Explanation: In thermal equilibrium, the average velocity of gas molecules is proportional to\[\sqrt{T}\]

10. At what temperature will the oxygen molecules have the same root mean square speed as hydrogen
molecules at 200 K

a) 800 K

b) 1600 K

c) 2400 K

d) 3200 K

Explanation: