Derive the following two independent equations for a second-order phase transition: These equations, which are analogues of

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Derive the following two independent equations for a second-order phase transition: 

and  T  T along phase transition curve along phase transition curve  -  I T r[(@); - ()"] - P I  [(x),   P I

These equations, which are analogues of the Clapeyron equation, are sometimes referred to as the Ehrenfest equations. 

Also, show that these two equations can be derived by applying L’Hopital’s rule to the Clapeyron equation for a first-order phase transition.

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