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?

The number of rotational degrees of freedom of a monatomic molecule is

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

At $STP$,the speed of a sound wave in a gas is $330 \ m/s$ and the density of the gas is $1.3 \ kg/m^3$. Calculate the degrees of freedom $(f)$ of the gas.

For a gas, $\frac{R}{C_v} = 0.4$, where $R$ is the universal gas constant and $C_v$ is the molar specific heat at constant volume. The gas is made up of molecules which are