According to the kinetic theory of gases,the total energy of an ideal gas is equal to:

The kinetic energy of $1$ mole of $He$ gas at $27^{\circ}C$ is .... $J$.

Two gases $A$ and $B$ are contained in the same vessel which is at temperature $T$. The number of molecules of gas $A$ is $N$ and the mass of each molecule is $m$. The number of molecules of gas $B$ is $2N$ and the mass of each molecule is $2m$. If the mean square velocity of the $x$-component of velocity of gas $B$ is $v^2$ and the mean square velocity of the $x$-component of velocity of molecules of gas $A$ is $u_x^2$,then $\frac{u_x^2}{v^2}$ is:

Pressure of an ideal gas at constant volume is proportional to

If $E$ is the kinetic energy per mole of an ideal gas and $T$ is the absolute temperature,then the universal gas constant is given as

The average kinetic energy per gram of a monoatomic gas is given by: