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 $\,J$)

If the number of molecules of ${H_2}$ is double that of ${O_2}$,then the ratio of the kinetic energy of hydrogen to that of oxygen at $300 \, K$ is:

If the average translational kinetic energy of a molecule in a gas is equal to the kinetic energy of an electron accelerating from rest through $10 \,V$, then the temperature of the gas molecule is (Boltzmann constant $= 1.38 \times 10^{-23} \,JK^{-1}$)

The temperature of a gas is $-78^{\circ} C$ and the average translational kinetic energy of its molecules is $K$. The temperature at which the average translational kinetic energy of the molecules of the same gas becomes $2K$ is: (in $^{\circ} C$)

On the basis of the kinetic theory of gases,the mean kinetic energy $(K.E.)$ of $1\, mole$ per degree of freedom is:

Obtain an expression for the momentum of a gas transferred to the walls of a container in time $\Delta t$.