Question: Commonly, if M E for a binary system has a single sign, then the partial properties M E 1 and M E 2 have the

Commonly, if ME for a binary system has a single sign, then the partial properties M̅E1  and M̅E2 have the same sign as Mover the entire composition range. There are occasions, however, where the M̅Ei may change sign even though ME has a single sign. In fact, it is the shape of the ME vs. x1 curve that determines whether the M̅Ei change sign. Show that a sufficient condition for M̅E1 and M̅E2 to have single signs is that the curvature of ME vs. x1 have a single sign over the entire composition range.

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