1. Tardigrade
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  4. 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

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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

NTA AbhyasNTA Abhyas 2022

Solution:

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 $R=28n$
$\therefore \, 2m=28n$
$m=14n$