Open Journal of Mathematical Sciences
Vol. 7 (2023), Issue 1, pp. 35 – 88
ISSN: 2523-0212 (Online) 2616-4906 (Print)
DOI: 10.30538/oms2023.0197
Equilibria in electrochemistry and maximal rates of reaction
Tristram de Piro
Mathematical Institute, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter (550), Woodstock Road, Oxford, OX2 6GG, England.; t.depiro@curvalinea.net
Copyright © 2023 Tristram de Piro. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Received: April 20, 2022 – Accepted: January 1, 2023 – Published: March 31, 2023
Abstract
We consider Gibbs’ definition of chemical equilibrium and connect it with dynamic equilibrium, in terms of no substance formed. We determine the activity coefficient as a function of temperature and pressure, in reactions with or without interaction of a solvent, incorporating the error terms from Raoult’s Law and Henry’s Law, if necessary. We compute the maximal reaction paths and apply the results to electrochemistry, using the Nernst equation.
Keywords:
Gibbs’ definition of chemical equilibrium; Activity coefficient; Electrochemistry; Nernst equation; Maximal reaction paths.