Question

If $C_p$ and $C_V$ denotes the specific heats of unit mass nitrogen at constant pressure and volume respectively, then

• A. $C_P-C_V=\frac{R}{28}$
• B. $C_P-C_V=\frac{R}{7}$
• C. $C_P-C_V=\frac{R}{14}$
• D. $C_P-C_V=R$

Answer 1

The correct option is A $C_P-C_V=\frac{R}{28}$

Using Mayers equation, for 1 mole of gas,
$C_P-C_V=R$
$\therefore$ for unit mass, $C_P-C_V=\frac{R}{M}=\frac{R}{28}$
(M for nitrogen = 28)