Volume, pressure, and temperature of an ideal gas are \(V,\) \(P,\) and \(T\) respectively. If the mass of its molecule is \(m,\) then its density is:
[\(k\)=Boltzmann's constant]

1.	\(mkT\)	2.	\(\dfrac{P}{kT}\)
3.	\(\dfrac{P}{kTV}\)	4.	\(\dfrac{Pm}{kT}\)

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

By what percentage, should the pressure of a given mass of gas be increased, so as to decrease its volume by 10% at a constant temperature?

1. 5%     

2. 7.2 %       

3. 12.5%         

4. 11.1%

Which one of the following graph is correct at constant pressure?

1.		2.
3.		4.

The root-mean-square velocity of the molecules in a sample of helium is $\frac{5}{7}th$ of that of the molecules in a sample of hydrogen.  If the temperature of the hydrogen gas is 0$°$C, that of the helium sample is about:

1. 0$°$C       

2. 5.6$°$C      

3. 273$°$C         

4. 100$°$C

The kinetic energy of one gram molecule of a gas at standard temperature and pressure is: (R = 8.31 J/mol-K)

1. 0.56 $\times {10}^4 J$             

2. $1.3\times {10}^2 J$

3. $2.7\times {10}^2 J$                 

4. $3.4\times {10}^3 J$

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 = $\left(\frac{5}{32}\right)RT$

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 root mean square speed of the molecules of an enclosed gas is V.  What will be the root mean square speed if the pressure is doubled, the temperature remaining the same?

1. $\frac{v}{2}$     

2. v         

3. 2       

4. 4 v

If the degree of freedom of gas are f, then the ratio of two specific heats $C_P/C_V$ is given by:

[MP PET 1995; BHU 1997; MP PMT 2001, 04]

1. $\frac{2}{f}+1$                 

 2. $1-\frac{2}{f}$

3. $1+\frac{1}{f}$                   

4. $1-\frac{1}{f}$