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Specific Heat Capacity

If C p and C ...

Question

If $C_{P}$ and $C_{V}$ denote the specific heats of nitrogen per unit mass at constant pressure and constant volume respectively, then

A

C_{P} - C_{V} = \frac{R}{28}

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B

C_{P} - C_{V} = \frac{R}{14}

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C

C_{P} - C_{V} = R

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D

C_{P} - C_{V} = 28 R

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Solution

The correct option is A $C_{P} - C_{V} = \frac{R}{28}$
According to mayer's relation
molar mass of nitrogen $M = 2 \times 14 = 28$
$∴$ for $N_{2}$
$C_{P} - C_{V} = \frac{R}{M} = \frac{R}{28}$

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