Abstract
The objective of this note is to give proof that the existence of a positive (or, respectively, negative) homogeneous azeotrope is not linked to the sign (positive or negative) of the molar excess Gibbs energy function (gE) but rather to the curvature of gE. We demonstrate that when gE is concave (or, respectively, convex), a binary system may exhibit a positive (or, respectively, negative) azeotrope. Because a concave or convex function may indifferently be positive or negative, when gE is positive (or, respectively, negative), a binary system may exhibit a negative (or, respectively, positive) azeotrope.
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