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 is the expansion coefficient, T 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 1 TKT 2 KT 1 dp (a) dp Cp,m 2 Cp,m 1 (b) dp dT TVm (0 01)

Question: 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

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

-1 TKT;2-KT;1 dp (a) = dp_Cp,m;2-Cp,m;1 (b) dp= dT TVm (0-01)

Where α is the expansion coefficient, κ_T 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?

-1 TKT;2-KT;1 dp (a) = dp_Cp,m;2-Cp,m;1 (b) dp= dT TVm (0-01)

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