Kinetic theory of gases

The most probable speed is the speed at which the function G(v) is maximum and is obtained by setting the derivative of G(v) with respect to v to zero. \begin{equation} \frac{dG(v)}{dv}=0\;\;\rightarrow \;\;v_{mp}=\left(\frac{2RT}{M}\right)^{1 /2} \end{equation}