If an ideal gas has volume V at 27°C and it is heated at a constant pressure so that its volume becomes 1.5V. Then the value of final temperature will be

1. 600°C                             

2. 177°C

3. 817°C                             

4. None of these

A tyre kept outside in sunlight bursts off after sometime because of :

1. Increase in pressure                                 

2. Increases in volume

3. Both (a) and (b)                                       

4. None of these

In Boyle's law what remains constant :

1. $\mathrm{PV}$                                     

2. $\mathrm{TV}$

3. $\frac{\mathrm{V}}{\mathrm{T}}$                                     

4. $\frac{\mathrm{P}}{\mathrm{T}}$

The 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 flask 1 be m, then what is the mass of the gas in flask 2?

1. $\mathrm{m}$                                       

2. $\frac{\mathrm{m}}{2}$

3. $\frac{\mathrm{m}}{4}$                                     

4. $\frac{\mathrm{m}}{8}$

The absolute temperature of a gas is determined by

1. The average momentum of the molecules

2. The velocity of sound in the gas

3. The number of molecules in the gas

4. The mean square velocity of the molecules

At what temperature is the root mean square velocity of gaseous hydrogen molecules is equal to that of oxygen molecules at 47°C

1.  20 K                               

2.  80 K

3.  – 73 K                           

4.  3 K

At room temperature, the rms speed of the molecules of certain diatomic gas is found to be \(1930\) m/s. The gas is:
1. \(H_2\)
2. \(F_2\)
3. \(O_2\)
4. \(Cl_2\)

Moon has no atmosphere because :

1. The r.m.s. the velocity of all gases is more than the escape velocity from the moon's surface.

2. Its surface is not smooth.

3. It is quite far away from the earth.

4. It does not have a population and plants.

The speed of sound in a gas is \(v\) and the r.m.s. velocity of the gas molecules is \(c\). The ratio of \(v\) to \(c\) is:
1. \(\frac{3}{\gamma}\)
2. \(\frac{\gamma}{3}\)
3. \(\sqrt{\frac{3}{\gamma}}\)
4. \(\sqrt{\frac{\gamma}{3}}\)

The molecules of a given mass of a gas have a r.m.s. velocity of 200 m/sec at 27°C and $1.0\times {10}^5 \mathrm{N}/{\mathrm{m}}^2$ pressure. When the temperature is 127°C and pressure is $0.5\times {10}^5 \mathrm{N}/{\mathrm{m}}^2,$ the r.m.s. velocity in m/sec will be

1. $\frac{100\sqrt{2}}{3}$                             

2. $100\sqrt{2}$

3. $\frac{400}{\sqrt{3}}$                                 

4. None of the above