The Clapeyron equation does not apply to second-order phase transitions, but there are two analogous equations, the

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The Clapeyron equation does not apply to second-order phase transitions, but there are two analogous equations, the Ehrenfest equations, that do. They are: 

Where α is the expansion coefficient, κT the isothermal compressibility, and the subscripts 1 and 2 refer to two different phases. Derive these two equations. Why does the Clapeyron equation not apply to second-order transitions?

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