Prove that where [ C_{P}-C_{V}=frac{T V beta^{2}}{alpha} ] (alpha=) Isothermal compressibility (beta=) Volume expansivity.

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Prove that where

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

\(\alpha=\) Isothermal compressibility

\(\beta=\) Volume expansivity.

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