A vessel contains a mixture of one mole of Oxygen and two moles of Nitrogen at `300` K. The ratio of the average kinetic energy per `O_(2)` molecule to that per `N_(2)` molecule is :

Options

A. `1:1`
B. `1:2`
C. `2:1`
D. depends on the moment of inertia of that two molecules

Answer

A

Explanation

Average kinetic energy per molecule per degree of freedom `=1/2 kT`. Since, both the gases are diatomic and at same temperature both will have the same number of rotational degree of freedom i.e., two. Therefore, both the gas will have the same average rotational kinetic energy per molecule `= 2xx1/2" kT or k T"`
Thus, ratio will be 1 : 1