The average kinetic energy of gaseous molecules is

In kinetic theory it is assumed that average kinetic energy of the gas molecules is directly proportional to the absolute temperature.

At a particular temperature, the distribution of speed of different gaseous particles is constant.

The average kinetic energy of gaseous molecules expression is:

$\mathrm{K}.\mathrm{E}.=\frac{3}{2}{\mathrm{k}}_{\mathrm{B}}\mathrm{T}$

${\mathrm{k}}_{\mathrm{B}}$ is the Boltzmann's constant and T is the temperature.