American Journal of Analytical Chemistry, 2018, 9, 406-422 http://www.scirp.org/journal/ajac ISSN Online: 2156-8278 ISSN Print: 2156-8251 DOI: 10.4236/ajac.2018.99032 Sep. 14, 2018 406 American Journal of Analytical Chemistry Additional Arguments for a Correction of the Debye-Hückel, Maxwell-Boltzmann Equations for Dilute Electrolyte Equilibria Peter van der Weg Unilever Research & Development, Vlaardingen, The Netherlands Abstract Peter Debye and Erich Hückel had developed a theory for the ionic activity coefficients in dilute solutions of strong electrolytes some 95 years ago [1]. Their limiting law still stands and is confirmed as close to reality in many ex- periments. In a previous article [2], it is shown that these limiting activity coef- ficients arise because the electrical contribution in the electrochemical poten- tial of ionic species is overestimated traditionally with a factor 2. The smaller value removes inconsistencies in the models and complies better with the ba- sic electrostatic principles. In this article further evidence is given in support of this alternative description. As consequence the dilute activity coefficients become unity, e.g. are removed, which means that the electrochemical poten- tial of ions in dilute solutions is expressed directly in concentration, instead of activity, which simplifies modelling in such dilute solutions. Keywords Debye-Hückel, Electrolyte, Activity Coefficients, Electrochemical Potential, Debye, Hückel 1. Introduction The behavior of a strong electrolyte in the limit of high dilution is given by the formulae due to Debye and Hückel [1]. Modifications to the theories were dis- cussed in 2009 [2]. This publication gives a discussion and additional informa- tion in support of the theory. 2. Thermodynamics For the energy of a phase we can write: How to cite this paper: van der Weg, P. (2018) Additional Arguments for a Correc- tion of the Debye-Hückel, Maxwell- Boltzmann Equations for Dilute Electrolyte Equilibria. American Journal of Analytical Chemistry, 9, 406-422. https://doi.org/10.4236/ajac.2018.99032 Received: May 16, 2018 Accepted: September 11, 2018 Published: September 14, 2018 Copyright © 2018 by author and Scientific Research Publishing Inc. This work is licensed under the Creative Commons Attribution International License (CC BY 4.0). http://creativecommons.org/licenses/by/4.0/ Open Access