Question
The difference between $C_p$ and $C_V$ can be derived using the empirical relation $H=U+p V$ Calculate the difference between $C_p$ and $C_V$ for 10 moles of an ideal gas.
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Answer
Given that, $C_v=$ heat capacity at constant volume, $C_p=$ heat capacity at constant pressure Difference between $C_p$ and $C_v$ is equal to gas constant $(R) . \therefore C_p-C_v=n R$ (where, $n=$ no. of moles)
$=10 \times 8.314=83.14 \mathrm{~J}$
$=10 \times 8.314=83.14 \mathrm{~J}$
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