Using the fundamental property relation (G=H-T S), show that [ left(frac{partial H}{partial P} ight)_{T}=V-Tleft(frac{partial V}{partial T} ight)_{P}=V(1-alpha

Using the fundamental property relation \(G=H-T S\), show that

\[ \left(\frac{\partial H}{\partial P}\right)_{T}=V-T\left(\frac{\partial V}{\partial T}\right)_{P}=V(1-\alpha T) \]