Question
Calculate the specific heat capacity at constant volume for a gas. Given specific heat capacity at constant pressure is $6.85 \mathrm{cal} \mathrm{~mole}^{-1} \mathrm{~K}^{-2}, \mathrm{R}=8.31 \mathrm{~J} \mathrm{~mole}^{-1} \mathrm{~K}^{-1}$ and $\mathrm{J}=4.18 \mathrm{~J} \mathrm{cal}^{-1}$.

Answer

We know that, $\text{C}_\text{p}-\text{C}_\text{V}=\frac{\text{R}}{\text{J}}$ $6.85-\text{C}_\text{V}=\frac{8.31}{4.18}$ $\Rightarrow6.85-\text{C}_\text{V}=1.988$ $\Rightarrow \text{C}_\text{V}=6.85-1.988$ $\Rightarrow\text{C}_\text{V}=4.862\text{ cal mole}^{-1}\text{K}^{-1}$

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