The average thermal energy for a mono-atomic gas is: ($k_{B}$ is Boltzmann constant and $T$ is absolute temperature)

At a certain temperature,the degrees of freedom per molecule for a gas is $8$. The gas performs $150 \; J$ of work when it expands under constant pressure. The amount of heat absorbed by the gas will be $..... \; J$.

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

The ratio of specific heats of a gas is $\frac{9}{7}$. The number of degrees of freedom of the gas molecules for translational motion is:

$A$ container holds $1 \, \text{mole}$ of oxygen and $2 \, \text{moles}$ of nitrogen at a temperature of $300 \, K$. What is the ratio of the average rotational kinetic energy of $O_2$ to that of $N_2$?

If $\gamma$ is the ratio of specific heats of an ideal gas,the number of degrees of freedom of the gas molecules is .......