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Question:

The molar specific heats of an ideal gas at constant pressure and volume are denoted by Cp and Cv respectively. If γ = Cp/Cv and R is the universal gas constant, then Cv is equal to?

γR

(γ-1)R

1+γ/1-γ

R/(γ-1)

Solution:

The correct option is R/(γ-1)
Using, Cp - Cv = R ⇒ Cv(Cp/Cv - 1) = R
(γ - 1) = R
Cv(γ - 1) = R
or Cv = R/(γ - 1) (∵ Cp/Cv = γ)