Module 4 : Kinetic Theory of Gases

Lecture 5 : Maxwell-Boltzmann Velocity Distribution

To integrate the above expression, let  so that

(4.95)

(4.96)

where  is called Gamma function, the value of which are given in Table 4.1.

Table 4.1 Values of gamma function

Substituting the value of integrand in Eq.(4.94),

(4.97)