(b) Schematically draw the free energy curves vs concentration for the A-B alloy at temperatures T1 and T2 for alloy 1, and Ts for alloy 2, and briefly explain how the phase diagrams are constructed from the free energy curves. Make sure to clearly label all the curves.

Question 5 (a) Derive an expression for . in terms of the state variables, including I, P, S, V, and the measurable properties of the system, including the heat capacities, and C,, the isobaric thermal expansivity, a, and the isothermal compressibility, B. A is the Helmholtz free energy defined as U - TS.

(b) Schematically draw the free energy curves vs concentration for the A-B alloy at temperatures T₁ and T₂ for alloy 1, and Ts for alloy 2, and briefly explain how the phase diagrams are constructed from the free energy curves. Make sure to clearly label all the curves.

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