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

Internal energy of $n_1$ moles of hydrogen at temperature $T$ is equal to the internal energy of $n_2$ moles of helium at temperature $2T$. Then the ratio $n_1:n_2$ is: [Degree of freedom of $He = 3$,Degree of freedom of $H_2 = 5$]

The temperature of argon,kept in a vessel,is raised by $1^\circ C$ at a constant volume. The total heat supplied to the gas is a combination of translational and rotational energies. Their respective shares are

Calculate the total number of degrees of freedom of molecules of hydrogen in $1$ $cc$ of hydrogen gas at $NTP$.

Which statements are correct about degrees of freedom?
$A.$ $A$ molecule with $n$ degrees of freedom has $n^{2}$ different ways of storing energy.
$B.$ Each degree of freedom is associated with $\frac{1}{2} RT$ average energy per mole.
$C.$ $A$ monoatomic gas molecule has $1$ rotational degree of freedom whereas a diatomic molecule has $2$ rotational degrees of freedom.
$D.$ $CH_{4}$ has a total of $6$ degrees of freedom.
Choose the correct answer from the options given below:

What will be the average value of energy along one degree of freedom for an ideal gas in thermal equilibrium at a temperature $T$? ($k_{B}$ is Boltzmann constant)