Derive the following expression: where [ C_{P}-C_{V}=T V frac{beta^{2}}{alpha} ] (alpha=) Isothermal compressibility (beta=) Volume expansivity.

Question:

Derive the following expression:

where

\[ C_{P}-C_{V}=T V \frac{\beta^{2}}{\alpha} \]

\(\alpha=\) Isothermal compressibility

\(\beta=\) Volume expansivity.

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