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Question:

The ratio of the specific heats Cp/Cv = γ in terms of degree of freedom (n) is given by:

(1+1n)

(1+n2)

(1+2n)

(1+n3)

Solution:

The internal energy for 1 mole of gas is given as
U = n/2 RdT = CvdT
where n is degrees of freedom
Cp − Cv = R
Cp = (1 + n/2)R
and
Cp/Cv = γ = (1 + n/2)R / (n/2)R = 1 + 2/n