If P is the pressure of the gas then the KE per unit volume of the gas is:

1.  $\frac{P}{2}<mspace\; width="1em"></mspace><mspace\; width="1em"></mspace>$

2.  $P<mspace\; width="1em"></mspace><mspace\; width="1em"></mspace>$

3.  $<mspace\; width="1em"></mspace>\frac{3P}{2}<mspace\; width="1em"></mspace>$

4.  $<mspace\; width="1em"></mspace>2P$

The variation of density (p) of gas with its absolute temperature (T) at constant pressure is best represented by the graph

1.		2.
3.		4.

A gas mixture consist of 2 moles of $O_2$ and 4 moles of Ar at temperature T. Neglecting all vibrational modes, the total internal energy of the system is:

1. 4RT 

2. 15RT

3. 9RT

4. 11RT

The root mean square speed of oxygen molecules (O2) at a certain absolute temperature is v. If the temperature is doubled and oxygen gas dissociates into oxygen atom, the rms speed would be :

1.  $\mathrm{v}<mspace\; width="1em"></mspace><mspace\; width="1em"></mspace>$

2.  $\sqrt{2}\mathrm{v}<mspace\; width="1em"></mspace><mspace\; width="1em"></mspace>$

3.  $2\mathrm{v}<mspace\; width="1em"></mspace><mspace\; width="1em"></mspace>$

4.  $2\sqrt{2}\mathrm{v}$

The variation of pressure versus temperature of an ideal gas is shown in the given diagram. From this diagram, one can conclude that

${\mathrm{n}}_1$ mole of monoatomic gas is mixed with ${\mathrm{n}}_2$ mole of diatomic gas such that ${\gamma }_{mix}=1.5$, then:

1. ${\mathrm{n}}_1=2{\mathrm{n}}_2$

2. ${\mathrm{n}}_2=2{\mathrm{n}}_1$

3. $n_1=n_2$

4. $n_1=3n_2$

One mole of an ideal monatomic gas undergoes a process described by the equation $P{V}^3=$ constant. The heat capacity of the gas during this process is:

1. $\frac{3}{2}R$           

2. $\frac{5}{2}R$

3. $2R$             

4. $R$

A rocket is propelled by a gas which is initially at a temperature of 4000 K. The temperature of the gas falls to 1000 K as it leaves the exhaust nozzle. The gas which will acquire the largest momentum while leaving the nozzle is:

1. Hydrogen

2. Helium

3. Nitrogen

4. Argon

$\mathrm{Molar}<mspace\; width="1em"></mspace>\mathrm{heat}<mspace\; width="1em"></mspace>\mathrm{capacity}<mspace\; width="1em"></mspace>\mathrm{of}<mspace\; width="1em"></mspace>\mathrm{the}<mspace\; width="1em"></mspace>\mathrm{process}<mspace\; width="1em"></mspace>\mathrm{P}<mspace\; width="1em"></mspace>=<mspace\; width="1em"></mspace>\frac{\mathrm{a}}{\mathrm{T}}<mspace\; width="1em"></mspace>\mathrm{for}<mspace\; width="1em"></mspace>\mathrm{a}<mspace\; width="1em"></mspace>\mathrm{monoatomic}<mspace\; width="1em"></mspace>\mathrm{gas},<mspace\; width="1em"></mspace>\text{'}\mathrm{a}\text{'}<mspace\; width="1em"></mspace>\mathrm{being}<mspace\; width="1em"></mspace>\mathrm{positive}<mspace\; width="1em"></mspace>\mathrm{constant}<mspace\; width="1em"></mspace><mspace\; width="1em"></mspace>is-$

1.  $\frac{7}{2}<mspace\; width="1em"></mspace>\mathrm{R}<mspace\; width="1em"></mspace>$

2.  $\frac{5}{2}<mspace\; width="1em"></mspace>\mathrm{R}<mspace\; width="1em"></mspace><mspace\; width="1em"></mspace>$

3.  $\frac{3}{2}<mspace\; width="1em"></mspace>\mathrm{R}$

4.  None of these