Derivation and thermodynamically consistent coupling of a Debye-Hückel type energy to a steric electrolyte model and application to the apparent molar volume and phase boundaries

Fuente: arXiv
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Autori principali: Dreyer, Wolfgang, Müller, Rüdiger
Natura: Preprint
Pubblicazione: 2025
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author Dreyer, Wolfgang
Müller, Rüdiger
author_facet Dreyer, Wolfgang
Müller, Rüdiger
contents We derive a Debye-Hückel-like model of the electric ion-ion interaction for non-constant dielectric susceptibility, which does not depend on any kind of charging process due to its foundation in the general framework of non-equilibrium electro-thermodynamics. The derivation, however, leads to a novel thermodynamic consistency condition for the temperature dependence of the susceptibility. Due to its contributions to the total pressure, the consistent coupling of this new contribution to the free energy requires subtle modifications in the derivation of the simple mixture model for electrolytes. The coupled model is then applied to the apparent molar volume for various related monovalent salts over a wider range of salt concentrations and temperatures, and classical tests of the electrolyte theory at phase boundaries are investigated.
format Preprint
id arxiv_https___arxiv_org_abs_2502_04344
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Derivation and thermodynamically consistent coupling of a Debye-Hückel type energy to a steric electrolyte model and application to the apparent molar volume and phase boundaries
Dreyer, Wolfgang
Müller, Rüdiger
Chemical Physics
Statistical Mechanics
78A57, 80A17
We derive a Debye-Hückel-like model of the electric ion-ion interaction for non-constant dielectric susceptibility, which does not depend on any kind of charging process due to its foundation in the general framework of non-equilibrium electro-thermodynamics. The derivation, however, leads to a novel thermodynamic consistency condition for the temperature dependence of the susceptibility. Due to its contributions to the total pressure, the consistent coupling of this new contribution to the free energy requires subtle modifications in the derivation of the simple mixture model for electrolytes. The coupled model is then applied to the apparent molar volume for various related monovalent salts over a wider range of salt concentrations and temperatures, and classical tests of the electrolyte theory at phase boundaries are investigated.
title Derivation and thermodynamically consistent coupling of a Debye-Hückel type energy to a steric electrolyte model and application to the apparent molar volume and phase boundaries
topic Chemical Physics
Statistical Mechanics
78A57, 80A17
url https://arxiv.org/abs/2502.04344