R Version of the Kedem–Katchalsky–Peusner Equations for Liquid Interface Potentials in a Membrane System
Andrzej Ślęzak, Sławomir M. Grzegorczyn

TL;DR
This paper presents a new R version of the Kedem–Katchalsky–Peusner equations to model energy conversion in membrane transport processes.
Contribution
The paper introduces a novel transformation of K-K equations into the R variant for membrane systems.
Findings
Peusner coefficients were calculated from K-K coefficients for a dialyser membrane system.
Energy conversion efficiency increased nonlinearly with solute concentration in the membrane.
Energy fluxes were analyzed as functions of ionic current density for constant solute fluxes.
Abstract
Peusner’s network thermodynamics (PNT) is an important way of describing processes in nonequilibrium thermodynamics. PNT allows energy transport and conversion processes in membrane systems to be described. This conversion concerns internal energy transformation into free and dissipated energies linked with the membrane transport of solutes. A transformation of the Kedem–Katchalsky (K-K) equations into the R variant of Kedem–Katchalsky–Peusner (K-K-P) equations was developed for the transport of binary electrolytic solutions through a membrane. The procedure was verified for a system in which a membrane Ultra Flo 145 Dialyser separated aqueous NaCl solutions. Peusner coefficients were calculated by the transformation of the K-K coefficients. Next, the coupling coefficients of the membrane processes and energy fluxes for electrolyte solutions transported through the membrane were…
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Taxonomy
TopicsAdvanced Thermodynamics and Statistical Mechanics · Electrochemical Analysis and Applications · Membrane-based Ion Separation Techniques
