The internal energy of $4$ moles of a monoatomic gas at a temperature of $77^{\circ} C$ is ($R$ - Universal gas constant). (in $R$)

The initial average kinetic energy of the molecules was $E$,when a gas sample is at $27^{\circ} C$. When the gas is heated to $327^{\circ} C$,then the final average kinetic energy will be

The pressure of a gas is $6 \times 10^4 \ N/m^2$. What will be the kinetic energy per unit volume of the gas molecules?

Number of molecules in a volume of $4\, cm^{3}$ of a perfect monoatomic gas at some temperature $T$ and at a pressure of $2\, cm$ of mercury is close to $?$
(Given,mean kinetic energy of a molecule (at $T$) is $4 \times 10^{-14}\, erg$,$g=980\, cm/s^{2}$,density of mercury $=13.6\, g/cm^{3}$)

On the basis of the kinetic theory of gases,the gas exerts pressure because its molecules:

Kinetic energy per unit volume is $E$. The pressure exerted by the gas is given by