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Conflict of Interest: In relation to this article, we declare that there is no conflict of interest.

Publication history: Received October 29, 2003
Accepted December 29, 2003

This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/bync/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Canonical Form and Mathematical Interpretation of Electrolyte Solution Systems

Kee-Youn Yoo Jiwen He^† Neal R. Amundson

Department of Mathematics, University of Houston, Houston, TX 77204-3008, USA

jiwenhe@math.uh.edu

Korean Journal of Chemical Engineering, March 2004, 21(2), 303-307(5), 10.1007/BF02705413

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Abstract

We describe a canonical form of electrolyte solution systems for the mathematical interpretation of solidliquid equilibrium. The canonical form is obtained from the analysis of the algebraic structure of electrolyte solution systems and the Karush-Kuhn-Tucker (KKT) conditions for the minimization of the total Gibbs free energy. As a result, the mathematical role of solid species in the solid-liquid equilibrium problem is explained as a Lagrange multiplier of a sort of the linearly constrained optimization problem. This finding will add to the development of an efficient numerical algorithm for the simulation of electrolyte solution systems.

Keywords

Electrolyte Solution Canonical Form Solid-Liquid Equilibrium Lagrange Multiplier Inorganic Aerosol

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