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Question:

If Cp and Cv denote the specific heats (per unit mass) of an ideal gas of molecular weight M where R is the molecular weight constant, then Cp - Cv = ?

Cp−Cv=RM2

Cp−Cv=RM

Cp−Cv=MR

Cp−Cv=R

Solution:

Let Cv and Cp be molar specific heats of the ideal gas at constant volume and constant pressure, respectively, then Cp = MCp and Cv = MCv ∵ Cp - Cv = R ∴ MCp - MCv = R ⇒ Cp - Cv = R/M