Comparison of the Debye鈥揌眉ckel and the Mean Spherical Approximation Theories for Electrolyte Solutions

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• 作者：Bj酶rn Maribo-Mogensen ; Georgios M. Kontogeorgis ; Kaj Thomsen
• 刊名：Industrial & Engineering Chemistry Research
• 出版年：2012
• 出版时间：April 11, 2012
• 年：2012
• 卷：51
• 期：14
• 页码：5353-5363
• 全文大小：665K
• 年卷期：v.51,no.14(April 11, 2012)
• ISSN：1520-5045

文摘

The thermodynamics of electrolyte solutions has been investigated by many scientists throughout the last century. While several theories have been presented, the most popular models for the electrostatic interactions are based on the Debye鈥揌眉ckel and mean spherical approximation (MSA) theories. In this paper we investigate the differences between the Debye鈥揌眉ckel and the MSA theories, and comparisons of the numerical results for the Helmholtz energy and its derivatives with respect to temperature, volume and composition are presented. The investigation shows that the nonrestricted primitive MSA theory performs similarly to Debye鈥揌眉ckel, despite the differences in the derivation. We furthermore show that the static permittivity is a key parameter for both models and that in many cases it completely dominates the results obtained from the two models. Consequently, we conclude that the simpler Debye鈥揌眉ckel theory may be used in connection with electrolyte equations of state without loss of accuracy.