from which        

(4.98)

The translational K.E. of the molecules of a gas is given by

(4.99)

Let x = β²v², as before

(4.100)

Now,                                         

(4.101)

Hence,

(4.102)

 From Eq.(4.98)

(4.103)

Substituting these values in Eq.(4.93),

(4.104)

or,

(4.105)

This equation is known as Maxwell Boltzmann velocity distribution function.