The molar specific heat at constant volume,${C_V}$,for a monoatomic gas is:

The amount of heat that must be supplied to $35 \ g$ of oxygen at room temperature to raise its temperature by $80^{\circ} C$ at constant volume is (molecular mass of oxygen is $32$ and $R = 8.3 \ J \ mol^{-1} \ K^{-1}$) (in $kJ$)

Let $\gamma_1$ be the ratio of molar specific heat at constant pressure and molar specific heat at constant volume of a monoatomic gas and $\gamma_2$ be the similar ratio of a diatomic gas. Considering the diatomic gas molecule as a rigid rotator,the ratio $\frac{\gamma_1}{\gamma_2}$ is

The correct relation between the degree of freedom $f$ and the ratio of specific heat $\gamma$ is

In the case of a diatomic gas,the fraction of heat supplied at constant pressure that is used for the expansion of the gas is:

The specific heat of a gas: