The average kinetic energy of a gas molecule at $27^oC$ is $6.21 \times 10^{-21} \, J$. Its average kinetic energy at $227^oC$ will be

At $300 \ K$,the number of $H_2$ molecules is twice the number of $O_2$ molecules. What is the ratio of the total kinetic energy of $H_2$ to that of $O_2$?

The kinetic energy of one gram molecule of a gas at normal temperature and pressure is $(R = 8.31\,J/mol\cdot K)$.

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 number of gas molecules striking per second per square metre of the top surface of a table placed in a room at $20^{\circ} C$ and $1$ atmospheric pressure is of the order of (given $k_{B} = 1.4 \times 10^{-23} \, J K^{-1}$ and the average mass of an air molecule is $m = 5 \times 10^{-27} \, kg$).

The mean energy of a molecule of an ideal gas is