Show that where [ left(frac{partial U}{partial V} ight)_{T}=frac{T beta}{kappa}-P ] (beta=) Coefficient of volume expansion (kappa=) Isothermal

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Show that where

\[ \left(\frac{\partial U}{\partial V}\right)_{T}=\frac{T \beta}{\kappa}-P \]

\(\beta=\) Coefficient of volume expansion

\(\kappa=\) Isothermal compressibility.

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