If the ratio of specific heats of a gas at constant pressure and at constant volume is $\gamma$,then the number of degrees of freedom of the rigid molecules of the gas is

According to the law of equipartition of energy, the molar specific heat of a non-rigid diatomic gas at constant volume is

The total kinetic energy of $1$ mole of oxygen at $27^{\circ} C$ is:
[Use universal gas constant $(R) = 8.31 \ J/mol \cdot K$] (in $J$)

The number of rotational degrees of freedom of a diatomic molecule is:

Ratio of translational degrees of freedom to rotational degrees of freedom of a polyatomic linear gas molecule is

The ratio of specific heat at constant pressure to specific heat at constant volume $(\gamma)$ for a gas is given by $\gamma = 1 + \frac{2}{f}$,where $f$ is the number of degrees of freedom of a molecule of the gas. What is the ratio of $\gamma_{d}$ for a rigid diatomic gas to $\gamma_{m}$ for a monoatomic gas?