Q.
If cp and cv denote the specific heats (per unit mass) of an ideal gas of molecular weight M, then (where R is the molar gas constant)
A) cp − cv = R/M²
B) cp − cv = R
C) cp − cv = R/M
D) cp − cv = MR
Explanation
[Solution from source] For one mole, Cp − Cv = R (Mayer's relation). Specific heats per unit mass are molar heats divided by M, so cp − cv = R/M. 'cp − cv = R' applies to molar specific heats, not per unit mass. Answer (3).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.