The kinetic energy of ‘n’ moles of an ideal gas is given by the expression

The motion of kinetic gas equation is

$\mathrm{PV}=\frac{1}{3}{\mathrm{mnC}}^2$

$\mathrm{PV}=\frac{1}{3}{\mathrm{MC}}^2 ; \mathrm{M}=\mathrm{n}\times \mathrm{m}$

$=\frac{2}{3}\times \frac{1}{2}{\mathrm{MC}}^2$

$\mathrm{PV}=\frac{2}{3}\times \mathrm{K}.\mathrm{E}$

$\mathrm{K}.\mathrm{E}=\frac{3}{2}\mathrm{PV}$

$\mathrm{K}.\mathrm{E}=\frac{3}{2}\mathrm{RT}; \mathrm{from} \mathrm{ideal} \mathrm{gas} \mathrm{euqation} \mathrm{PV}=\mathrm{RT}$

  K.E for 'n' moles$\mathrm{K}.\mathrm{E}=\frac{3}{2}\mathrm{nRT}$