At $STP$,the speed of a sound wave in a gas is $330 \ m/s$ and the density of the gas is $1.3 \ kg/m^3$. Calculate the degrees of freedom $(f)$ of the gas.

The mean kinetic energy of $1 \, mole$ of gas per degree of freedom (on the basis of kinetic theory of gases) is

For a gas having $X$ degrees of freedom,what is the value of $\gamma$ (where $\gamma$ is the ratio of specific heats,$\gamma = C_{P} / C_{V}$)?

What will be the average value of energy for a monoatomic gas in thermal equilibrium at temperature $T$?

Given below are two statements:
Statement $I :$ In a diatomic molecule,the rotational energy at a given temperature obeys Maxwell's distribution.
Statement $II :$ In a diatomic molecule,the rotational energy at a given temperature equals the translational kinetic energy for each molecule.
In the light of the above statements,choose the correct answer from the options given below:

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 $..... \; J$.