LECTURE PHYSICAL CHEMISTRY 3rd EDITION ROBERT G. MORTIMER

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the relation
We substitute this equation into Eq. (2.5-9) and use the
fact that C V = (∂U/∂T ) V,n to write
For an ideal gas, (∂U/∂V) T ,n = 0 and
(∂V/∂T ) P,n = nR/P, so that
The physical explanation for this difference between C P
and C V is that heating an ideal gas at constant volume
does not work on the surroundings. In heating at
constant pressure some of the heat is turned into work
against the external pressure as the gas expands.
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