Network Derivation of Liquid Junction Potentials in Single-Membrane System

Area of Science:

• Non-equilibrium thermodynamics
• Membrane transport phenomena
• Physical chemistry

Background:

• Non-equilibrium thermodynamics (NET) models membrane transport.
• Peusner's network thermodynamics (PNT) describes energy conversion in membrane processes.
• Existing Kedem-Katchalsky (K-K) equations model binary electrolyte transport.

Purpose of the Study:

• To transform K-K equations into K-K-P equations using PNT formalism.
• To analyze energy conversion and dissipative flux in hemodialysis membranes.
• To investigate thermodynamic forces influencing membrane transport.

Main Methods:

• Developed a transformation procedure from K-K to K-K-P equations.
• Applied the L version of the K-K-P formalism for binary electrolyte solutions.
• Utilized Peusner coefficients derived from K-K formalism.

Main Results:

• Successfully transformed K-K equations to K-K-P equations.
• Calculated coupling coefficients and dissipative energy flux for a hemodialysis membrane (Ultra Flo 145 Dialyser) with NaCl solutions.
• Established a relationship between dissipative energy flux and thermodynamic forces.

Conclusions:

• The K-K-P formalism provides a robust framework for analyzing membrane transport and energy conversion.
• The study quantifies energy dissipation and coupling in artificial polymer membranes.
• Investigated energy conversion mechanisms in membrane systems under thermodynamic driving forces.