Question

If $C_P$ and $C_V$ denoted the specific heats of unit mass of 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

Answer: (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, $C_P-C_V=\frac{R}{M}=\frac{R}{28}$
($\because$ M for nitrogen $=28$)