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  4. The relation Cp - C v = R (Cp and Cv are the molar specific heats at constant pressure and volume) is exactly true for

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Q. The relation $C_{p} - C {v} = R (C_{p} $ and $C_{v}$ are the molar specific heats at constant pressure and volume) is exactly true for

KVPYKVPY 2009Thermodynamics

Solution:

Mayer’s relation,
$C_{p} - C_{v} = R$ is true only for ideal gases whether they are monoatomic,
diatomic or polyatomic as for real gases.
$C_{p} - C_{V} = TV\beta^{2}k$
where, $k =$ isothermal compressibility
and $\beta =$ isobaric thermal expansion coefficient.