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If for hydrogen $C P – C V = m$ and for Nitrogen $C P – C n = n$ , where $C P a n d C v$ refers to specific heats per unit mass respectively at constant pressure and volume. The relation between m and n is (molecular weight of hydrogen = 2 and of nitrogen = 28).

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m = 14 n

m = 7n

n = 7 m

n = 14 m

answer is D.

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Detailed Solution

$\begin{array}{l} C_{P} - C_{V} = m for H_{2} \\ C_{P} - C_{V} = n for N_{2} \\ \frac{m}{n} = \frac{M_{2}}{M_{1}} = \frac{28}{2} = 14 \\ m = 14 n \end{array}$

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