Donnan equilibrium revisited: Coupling between ion concentrations, osmotic pressure, and donnan potential
Name
2111.12565v1.pdf
Description
Submitted version
Size
762.52 KB
Format
Adobe PDF
Checksum (MD5)
7dc5ff86b1a6a2432549de4e4f08d3e9
Author(s)
Chen, Gang
Date Issued
April 18, 2022
Publisher
World Scientific Pub Co Pte Ltd
Citation
Chen, Gang. 2022. "Donnan equilibrium revisited: Coupling between ion concentrations, osmotic pressure, and donnan potential." 07 (02).
Version
Original manuscript
Abstract
This paper discusses the little-known fact that Donnan’s equilibrium criteria established over 100 years ago neglected the coupling between ion concentrations and the osmotic pressure. Such coupling can be treated based on general thermodynamic considerations including the solvent equilibrium, leading to a membrane potential that consists of not only the classical Donnan potential term but also an additional term due to the osmotic pressure, and the existence of a membrane potential even when the impermeable species are not charged. This coupled treatment conflicts with the well-established Poisson–Boltzmann equation and Nernst–Planck equation, but is consistent with the extension of these equations including the solvent effects by Freise and Schlogl, enables us to view the electrical double layer equilibrium as Donnan equilibrium.
Subjects
Polymers and Plastics
Mechanics of Materials
Atomic and Molecular Physics, and Optics
Ceramics and Composites
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1142/s2424913021420145
