The most probable velocity is expressed as

The most probable velocity  $\left({\mathrm{C}}_1\right):$At a given temperature, the velocity possessed by maximum number of molecules of a gas is known as “most probable velocity. It can express in the equation form as below.

${\mathrm{C}}_{\mathrm{p}}=\sqrt{\frac{2\mathrm{RT}}{\mathrm{M}}}=\sqrt{\frac{2\mathrm{PV}}{\mathrm{M}}}; \mathrm{for} 1 \mathrm{mol} \mathrm{of} \mathrm{gas},\mathrm{PV}=\mathrm{RT}$

$\Rightarrow {\mathrm{C}}_{\mathrm{p}}={\left(\frac{2\mathrm{RT}}{\mathrm{M}}\right)}^{\frac{1}{2}}$