Question

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

• A. $\text{C}_{\text{P}}-\text{C}_{\text{V}}=\text{28R}$
• B. $\text{C}_{\text{P}}-\text{C}_{\text{V}}=\frac{\text{R}}{28}$
• C. $\text{C}_{\text{P}}-\text{C}_{\text{V}}=\frac{\text{R}}{14}$
• D. $\text{C}_{\text{P}}-\text{C}_{\text{V}}=\text{R}$

Answer 1

Answer: (B)

Molar heat capacity = Molar mass $\times $ specific heat capacity
So, the molar heat capacities at constant pressure and constant volume will be $\text{28C}_{\text{P}}$ and $\text{28C}_{\text{V}}$ respectively
$\therefore $ $\text{28C}_{\text{P}}-\text{28C}_{\text{V}}=\text{R}$ or $\text{ C}_{\text{P}}-\text{C}_{\text{V}}=\frac{\text{R}}{\text{28}}$ .