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Please plot a phase diagram which exhibits a miscibility gap and the diagram regarding the molar Gibbs free energies of mixing of binary components in a system. In these two diagrams, please indicate the composition range that the phase separation may occur by spinodal decomposition; and at what composition ranges that the phase separation may occur by nucleation and growth. Why? $(9$ points$)($d$)$ Please define the region of stability, metastability, and instability in the diagram. $(3$ points$)$