AI Article Synopsis
- Peusner's network thermodynamics allows for flexible transformations of Kedem-Katchalsky equations into a network format, particularly for homogeneous mixtures of two non-electrolyte substances and a solvent, offering various forms of equations with different Peusner coefficients.
- The study aims to introduce a new hybrid form of these equations that incorporate tensor Peusner coefficients for ternary solutions and to analyze how these coefficients vary with changes in the concentration of one component while keeping another constant.
- Using cellulose Nephrophan membranes to analyze glucose and ethanol solutions, the research reveals that the new network equations can effectively assess membrane transport by demonstrating that several Peusner coefficients change significantly with different solution concentrations.
Article Abstract
Background: Peusner's network thermodynamics (PNT) allows symmetrical and/or hybrid transformation of Kedem-Katchalsky (K-K) equations to network form. For homogenous solutions that consist of solvent and two soluble nonelec-metrolyte substances, there are two symmetrical and six hybrid forms of network K-K equations that contain symmetrical (Rij or Lij) or hybrid (Hij, Wij, Sij, Nij, Kij or Pij) Peusner coefficients.
Objectives: The aim of this study is to introduce the hybrid form of network K-K equations that include tensor Peusner coefficients Sij (i, j ∈ {1, 2, 3}) for homogenous ternary solutions of nonelectrolytes and to calculate dependences of coefficients Sij on mean concentration of one solution component (C1) when the concentration of the other one is constant (C2).
Material And Methods: The authors used celulose Nephrophan membrane of known transport parameters for aqueous glucose and ethanol solutions as a study material. The authors applied PNT formalism and K-K equations for ternary nonelectrotyle solutions as a study method.
Results: Hybrid network form of K-K equations was obtained for solutions that consist of a solvent and two dissolved non-electrolyte substances. Dependences of coefficients Sij (i, j ∈ {1, 2, 3}) on mean concentration of one solution component (C1) when the concentration of the other one is constant C2, were calculated for conditions of homogeneity of solutions. These calculations were done using experimentally determined coefficients of reflection (σ), hydraulic (Lp) and solute permeability (ω).
Conclusions: Network form of K-K equations that include Peusner coefficients Sij (i, j ∈ {1, 2, 3}) constitutes a novel research tool to study membrane transport. We showed that coefficients S11, S12, S13, S21, S22, S23, S31, S32 and S33 were sensitive to alterations in concentration and composition of solutions separated by a polymer membrane.
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