Q.
If for hydrogen $C_{p} - C_{v} = m$ and for the nitrogen $C_{p} - C_{v} = n$, where $C_{p},\ C_{v}$ refer to specific heats per unit mass respectively at constant pressure and constant volume, the relation between $m$ and $n$ is
A) $m = 14\ n$
B) $n = 7\ n$
C) $m = 7\ n$
D) $n = 14\ n$
Explanation
(a) Here, for hydrogen $C_{p} - C_{v} = m = \frac{R}{2}$
Or $R = 2m$
And for nitrogen, $C_{p} - C_{v} = n = \frac{R}{28}$ or $R = 28\ n$
$\therefore\ 2m = 28n$
$m = 14n$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.