According to the kinetic theory of gases, the average kinetic energies of `O_(2) and N_(2)` molecules are the same at a particular temperature. State whether the rms velocities of the molecules of the two gases at a given temperature will be the same or not.

Explanation

The average kinetic energy of the molecules of a gas depends only on the absolute temperature of the gas. It does not depend on the mass of gas molecules. At a given temperature, a lighter gas molecular has the same average kinetic energy as that of a heavier gas molecule. on the contrary, the root mean square velocity of the molecules of a gas at a given temperature is inversely proportional to the molar mass of the gas. hence, at a given temperature, the root mean square velocities of the molecules of `N_(2) and O_(2)` gas will not be the same.