[Network form of the Kedem-Katchalsky equations for ternary non-electrolyte solutions. 8. evaluation of Pij Peusner's coefficients for polymeric membrane]

Polim Med. 2014 Apr-Jun;44(2):89-107.
[Article in Polish]

Abstract

Background: Methods of Peusner's network of thermodynamics (PNT) allow to obtain network forms of Kedem-Katchalsky (K-K) equations. The equations are the result of symmetric and/or hybrid transformation of the classic form of the K-K equations. For ternary non-electrolyte solutions, comprising a dissolvent and two solutions dissolved, the following network forms of the K-K equations may be obtained: two symmetric forms (containing Rij or Lij Peusner's coefficients) and six hybrid forms (containing Hij, Wij, Nij, Kij, Sij or Pij Peusner's coefficients).

Objectives: Using the network form of the K-K equations for homogeneous ternary non-electrolyte solutions containing Pij (i, j ∈ {1, 2, 3}) Peusner's coefficients, the objective is to calculate concentration dependences Pij and compare them to concentration dependences of Sij (i, j ∈ {1, 2, 3}) coefficients, presented in the 7th part in this paper (Polim. Med. 2014, 44, 39-49).

Material and methods: In the experiment, a polymeric hemodialysis Nephrophan membrane with specified transport properties (Lp, σ, ω) was used for glucose solutions in aqueous ethanol. The method involves the PNT formalism and K-K equations for ternary non-electrolyte solutions.

Results: The objective of calculations were dependences of Pij Peusner's coeffcients and Pij/Sij (i, j ∈ {1, 2, 3}) quotients within the conditions of solution homogeneity upon an average concentration of one component of solution (C1) with a determined value of the second component (C2).

Conclusions: The network form of K-K equations containing Peusner's coefficients Pij (i, j ∈ {1, 2, 3}) is a new tool that may be applicable in studies on membrane transport. Calculations showed that the coefficients are sensitive to concentration and composition of solutions separated by a polymeric membrane.

Publication types

  • English Abstract

MeSH terms

  • Ethanol / chemistry
  • Glucose Solution, Hypertonic / chemistry
  • Hemodialysis Solutions / chemistry
  • Membranes, Artificial*
  • Models, Chemical*
  • Permeability
  • Polymers / chemistry
  • Solutions / chemistry*
  • Thermodynamics

Substances

  • Glucose Solution, Hypertonic
  • Hemodialysis Solutions
  • Membranes, Artificial
  • Polymers
  • Solutions
  • Ethanol