Question

Here is the question from Kinetic theory.

Answer 1

The specific heat of gas at constant volume in terms of degree of freedom 'n' is:

Cv = (n/2)R;

Also,

Cp - Cv = R

So,

Cp = (n/2)R + R =R(1 + n/2)

Now,
gamma = Cp/Cv

= R(1+n/2)/((n/2)R)

= 2/n + 1So,

Cp/Cv = (1 + 2/n),

where n is degree of freedom.