Q. 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
A) (1 + γ)/(1 − γ)
B) R/(γ − 1)
C) (γ − 1)/R
D) γR
Explanation
[Solution from source] Mayer's relation Cp − Cv = R with Cp = γCv gives γCv − Cv = R, so Cv = R/(γ − 1). The expression γR/(γ − 1) would be Cp, and (γ − 1)/R is the inverse of the correct result. Answer (2).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.