The number of vibrational degrees of freedom of a diatomic molecule is

The mean rotational kinetic energy of a diatomic molecule at temperature $T$ is

$A$ diatomic gas consisting of rigid molecules is at a temperature of $87^{\circ} C$. If the moment of inertia of the rotating diatomic rigid molecule is $2.76 \times 10^{-39} \text{ g cm}^2$,then the rms angular speed of the molecule is (Boltzmann constant $= 1.38 \times 10^{-23} \text{ J K}^{-1}$).

If hydrogen gas is heated to a very high temperature,then the fraction of energy possessed by gas molecules corresponding to rotational motion is ...........

The total thermal energy associated with $200 \, g$ of oxygen at $27 \, ^\circ C$ is ......... $J$. (Assume oxygen molecules as rigid rotators.)

When $x$ amount of heat is given to a gas at constant pressure,it performs $x/3$ amount of work. The average number of degrees of freedom per molecule is