The total random kinetic energy of $1 \,g$ of helium at $100 \,K$ will be $\left(R=8.3 \,J \,mol^{-1} \,K^{-1}\right)$. (in $\,J$)

The energy of all molecules of a monoatomic gas having a volume $V$ and pressure $P$ is $\frac{3}{2}PV$. The total translational kinetic energy of all molecules of a diatomic gas at the same volume and pressure is:

The average translational kinetic energy of nitrogen (molar mass $28$) molecules at a particular temperature is $0.042 \ eV$. The translational kinetic energy of oxygen molecules (molar mass $32$) in $eV$ at double the temperature is:

The internal energy of $4$ moles of a monoatomic gas at a temperature of $77^{\circ} C$ is ($R$ - Universal gas constant). (in $R$)

What is the pressure of hydrogen in a cylinder of volume $10 \text{ litre}$ if its total energy of translation is $7.5 \times 10^3 \text{ J}$?

Assuming the expression for the pressure exerted by the gas, it can be shown that pressure is