Water and magmas: clarification of a controversy on applications of the Gibbs-Duhem equation

Mathematics

Scientific paper

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Scientific paper

It is shown mathematically that if the activity coefficient of water in ternary water-magma (aluminosilicate) systems is constant or varies only with the mole fraction of water, it is not necessary that the binary magmas form ideal solutions contrary to the claims by Burnham et al . (1978, Geochim. Cosmochim. Acta 42 , 275-276). A molecular viewpoint is presented to support this argument. The properties of analytical equations capable of representing the activity coefficients of usual and unusual systems are discussed. The correct form of the Gibbs-Dunhem equation for dissociative dissolution processes is presented to disprove the claims by (1975, Fortschr. Mineral. 52 , 101-118; 1975, Geochim. Cosmochim. Acta 39 , 1077-1084), and by et al . (1978, Geochim. Cosmochim. Acta 42 , 275-276).

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