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Thermodynamic consistency of the interaction parameter formalism

Srikanth, S and Jacob, KT (1988) Thermodynamic consistency of the interaction parameter formalism. In: Metallurgical and Materials Transactions B, Process Metallurgy and Materials Processing Science, 19 (2). pp. 269-275.

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Abstract

The apparent contradiction between the exact nature of the interaction parameter formalism as presented by Lupis and Elliott and the inconsistencies discussed recently by Pelton and Bale arise from the truncation of the Maclaurin series in the latter treatment. The truncation removes the exactness of the expression for the logarithm of the activity coefficient of a solute in a multi-component system. The integrals are therefore path dependent. Formulae for integration along paths of constant Xi,or X i/Xj are presented. The expression for In γsolvent given by Pelton and Bale is valid only in the limit that the mole fraction of solvent tends to one. The truncation also destroys the general relations between interaction parameters derived by Lupis and Elliott. For each specific choice of parameters special relationships are obtained between interaction parameters.

Item Type: Journal Article
Publication: Metallurgical and Materials Transactions B, Process Metallurgy and Materials Processing Science
Publisher: Minerals Metals Materials Soc
Additional Information: Copyright of this article belongs to Minerals Metals Materials Soc.
Department/Centre: Division of Mechanical Sciences > Materials Engineering (formerly Metallurgy)
Date Deposited: 11 Oct 2010 09:34
Last Modified: 11 Oct 2010 09:34
URI: http://eprints.iisc.ac.in/id/eprint/33041

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