The value of ∆V is very small. The term P∆V can be neglected for the process involving : solid and liquid,liquid and gas,solid and gas,none of these
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At higher temperatures, the difference between Cp and Cv in solids is not so small. However, it is not easy to measure Cv of solids (because of the increasing pressure). There is an equation to calculate Cv from known Cp:
Cv = Cp - alpha^2 K V T.
Alpha is the thermal expansion coefficient, K is the isothermal bulk modulus and V and T are the volume and the temperature.
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