If C_p and C_v denote the specific heats of n | vedclass

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(D) The molar heat capacities $C_{p,m}$ and $C_{v,m}$ are related by Mayer's relation: $C_{p,m} - C_{v,m} = R$. Specific heat capacity per unit mass i

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$C_p - C_v = \frac{R}{28}$

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(D) The molar heat capacities $C_{p,m}$ and $C_{v,m}$ are related by Mayer's relation: $C_{p,m} - C_{v,m} = R$. Specific heat capacity per unit mass is given by $C = \frac{C_m}{M}$,where $M$ is the molar mass. For nitrogen gas $(N_2)$,the molar mass $M = 28 	ext{ g/mol} = 0.028 	ext{ kg/mol}$. Therefore,$C_p = \frac{C_{p,m}}{M}$ and $C_v = \frac{C_{v,m}}{M}$. Substituting these into the relation: $C_p - C_v = \frac{C_{p,m} - C_{v,m}}{M} = \frac{R}{M}$. Since $M = 28$ for $N_2$,we get $C_p - C_v = \frac{R}{28}$.

If $C_p$ and $C_v$ denote the specific heats of nitrogen per unit mass at constant pressure and constant volume respectively,then

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