An ideal gas is found to obey an additional law $V{P}^2$= constant. The gas is initially at temperature T and volume V. When it expands to a volume 2 V, the temperature becomes:

1. T $\sqrt{2}$         

2. 2T       

3. 2T$\sqrt{2}$           

4. 4T

The figure shows two connected flasks. The volume of flask-1 is twice that of flask-2. The system is filled with an ideal gas at temperatures of \(100\) K and \(200\) K, respectively. If the mass of the gas in flask-1 is \(m,\) what is the mass of the gas in flask-2 when the system reaches equilibrium?

      
1. \(m\)         
2. \(m/2\)    
3. \(m/4\)    
4. \(m/8\)

PV versus T graphs of equal masses of \(H_2\), \(He\) and \(O_2\)${\mathrm{}}_{}$ are shown in the figure. Choose the correct alternative:          

Which one of the following graphs represent the behaviour of an ideal gas at constant temperature?

1.		2.
3.		4.

1. 2.
3.4.

An ideal gas is filled in a vessel, then

1. If it is placed inside a moving train, its temperature increases

2. Its centre of mass moves randomly

3. Its temperature remains constant in a moving car

4. None of these

From the T-P graph, what conclusion can be drawn?

1. $V_2=V_1$

2. $V_2<V_1$

3. $V_2>V_1$

4. Nothing can be predicted

The equation of state for 5 g of oxygen at a pressure P and temperature T, when occupying a volume V, will be: (where R is the constant)

1. PV = 5RT

2. PV = $\left(\frac{5}{2}\right)RT$

3. PV = $\left(\frac{5}{16}\right)RT$

4. PV = $\left(\frac{5}{32}\right)RT$

One liter of gas A and two liters of gas B, both having the same temperature 100$°$C and the same pressure 2.5 bar will have the ratio of average kinetic energies of their molecules as:

1. 1:1       

2. 1:2     

3. 1:4       

4. 4:1

The mean translational kinetic energy of a perfect gas molecule at the temperature T Kelvin is:

1. $\frac{1}{2}kT$         

2. kT             

3. $\frac{3}{2}kT$           

4. 2 kT

The average kinetic energy of a helium atom at $30°C$ is:                                                                                           [MP PMT 2004]

1. Less than 1 eV

2. A few KeV

3. 50-60 eV

4. 13.6 eV