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Equations for excess free energy and activity coefficients of binary, ternary, and quaternary liquid systems have been presented by several authors (1 to 7). These include the van Laar and Margules equations for binary systems extending to the five-suffix terms and for ternary systems extending to the four-suffix terms ( 6 ) . An extension of the four-suffix Margules equation to quaternary systems has also been made ( 3 , 4 ) , and a generalization of this equation to multicomponent systems is given here.The general expansion of the Margules equation to include two-, three-, and four-suffix terms and applied to a system containing n components results in which is simplified to n n-1 n -2

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