DERIVE THE RELATION BETWEEN GAMMA AND DEGREE OF FREEDOM (f).

Suppose, the number of degrees of freedom in a polyatomic gas molecule=n

Internal energy of one gram mole of the gas,

U=n x (1/2)kT x N

Where k=Boltzmann constant ,T=temperature of system and N=Avogadro number

Or  U=n/2 RT

Now we know ,