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1. (30 points) The Margules model for a binary solution of two liquids 1 and 2 gives rise
to the excess property
where C1 and C2 are constants. This model well correlates with a wide range of “simple”
binary solution behavior. = (61351 + C2x2)x1x2 (a) Show that this model returns ideal solution behavior for the appropriate chemical
potentials at the pure—substance limits, x1 —> 1 or x2 —> 1. (b) If 01 = C and C2 = ZC, for what value of C will the Margules model gives a
system that can spontaneously separate into two liquid phases? (0) In the case of Cb), if C is proportional to the temperature, what are the critical
temperature and composition for the phase-separation behavior?

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