If for hydrogen CP-CV=m and for the nitrogen CP-CV=n , where CP and CV refer to specific heat per unit mass at constant pressure and specific heat per unit mass at constant volume respectively. The relation between m and n is

Question

If for hydrogen CP-CV=m and for the nitrogen CP-CV=n , where CP and CV refer to specific heat per unit mass at constant pressure and specific heat per unit mass at constant volume respectively. The relation between m and n is (A) m=14n (B) m=7n (C) m=9n (D) m=16n

Tardigrade Admin · Accepted Answer

Here, for hydrogen CP-CV=m=(R/2) Or R=2m And for nitrogen, CP-CV=n=(R/28) or R=28n ∴ 2m=28n m=14n

Q. If for hydrogen $C_{P} - C_{V} = m$ and for the nitrogen $C_{P} - C_{V} = n$ , where $C_{P}$ and $C_{V}$ refer to specific heat per unit mass at constant pressure and specific heat per unit mass at constant volume respectively. The relation between $m$ and $n$ is

$m = 14 n$

$m = 7 n$

$m = 9 n$

$m = 16 n$

Here, for hydrogen $C_{P} - C_{V} = m = \frac{R}{2}$
Or $R = 2 m$
And for nitrogen, $C_{P} - C_{V} = n = \frac{R}{28}$ or $R = 28 n$
$∴ 2 m = 28 n$
$m = 14 n$

Q. If for hydrogen CP​−CV​=m and for the nitrogen CP​−CV​=n , where CP​ and CV​ refer to specific heat per unit mass at constant pressure and specific heat per unit mass at constant volume respectively. The relation between m and n is

m=14n

m=7n

m=9n

m=16n