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 $..... \; J$.

The ratio of specific heats at constant pressure and at constant volume is $\gamma$. To find out the degree of freedom,the expression is

How many degrees of freedom does a diatomic gas have due to its translational motion?

$A$ polyatomic gas with $n$ degrees of freedom has a mean energy per molecule given by (where $k$ is Boltzmann's constant and $T$ is temperature).

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

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: