The internal energy of one mole of a rigid diatomic gas at absolute temperature $T$ is

The ratio of total energy of all molecules of one mole of $O_2$ to the total energy of all molecules of two moles of $He$ at the same temperature is

$A$ polyatomic ideal gas has $24$ vibrational modes. What is the value of $\gamma$ ?

If the internal energy of $n_1$ moles of $He$ at temperature $10T$ is equal to the internal energy of $n_2$ moles of hydrogen $(H_2)$ at temperature $6T$,find the ratio $\frac{n_1}{n_2}$.

The specific heats,$C_P$ and $C_V$ of a gas of diatomic molecules,$A$,are given (in units of $J\, mol^{-1}\, K^{-1}$) by $29$ and $22$,respectively. Another gas of diatomic molecules,$B$,has the corresponding values $30$ and $21$. If they are treated as ideal gases,then:

An ideal gas has molecules with $5$ degrees of freedom. The ratio of specific heats at constant pressure $(C_p)$ and at constant volume $(C_v)$ is