If the kinetic energy in $J$, of $CH_4$ (molar mass $= 16 \ g \ mol^{-1}$) at $T(K)$ is $X$, the kinetic energy in $J$, of $O_2$ (molar mass $= 32 \ g \ mol^{-1}$) at the same temperature is

Internal energy and pressure of a gas per unit volume are related as

Which of the following statements is not correct regarding the kinetic theory of gases?

The average kinetic energy of one molecule of an ideal gas at $27^{\circ} C$ and $1 \ atm$ pressure is

The mass of molecule $A$ is half the mass of molecule $B$. The $rms$ speed of $A$ is twice the $rms$ speed of $B$. If the number of molecules in samples of $A$ and $B$ are equal,what is the ratio of the pressures of samples $A$ and $B$ in separate containers of equal volume?

Kinetic energy of molecules is highest in