The ratio of the specific heats C P C v =   γ in terms of degrees of freedom (n) is given by:

Step-by-step solution

Mayer's formula is derived by using the difference between the specific heat of a gas at the constant pressure ( C p ) and its specific heat at constant volume ( C v ) which is equal to the universal gas constant ( R ) divided with the molecular weight (M) of the gas expressed in “ J ” C V = n 2 R C P = C V + R = n 2 R + R = n 2 + 1 R   γ = C P C V = n 2 + 1 R n 2 R = n 2 + 1 2 n   γ = 1 + 2 n