title: [Network form of the Kedem-Katchalsky equations for ternary non-electrolyte solutions. 4. Evaluation of Wij Peusner's coefficients for polymeric membrane].
abstract: BACKGROUND
  Peusner Network Thermodynamics (PNT) enables symmetrical and/or hybrid transformation of classical Kedem-Katchalsky (K-K) equations to network forms. For homogenous nonelectrolyte solutions, two symmetrical and six hybrid forms of network K-K equations can be obtained that contain symmetrical (Rij or Lij) or hybrid (Hij, Wij, Nij, Kij, Sij or Pij) Peusner's coefficients.
  
  
  OBJECTIVE
  The aim of this paper is to present network form of K-K equations for homogenous ternary nonelectrolyte solutions that contains Peusner's coefficients Wij (i, j ∈ {1, 2, 3}). We also aim to calculate dependences of Wij coefficients on average concentration of one component of solution in a membrane (C1) when value of the second one (C1) is fixed and to compare these dependences with appropriate dependences for coefficients Hij, Lij and Rij presented in 1-3 parts of the paper.
  
  
  METHODS
  We used a cellulose hemodialysis membrane (Nephrophan) of known transport parameters for aqueous glucose and ethanol solutions as a research material. The PNT formalism and classical form of K-K equations for ternary non-electrolyte solutions was a research tool in this paper.
  
  
  RESULTS
  The network form of K-K equations was presented for ternary solutions that contain solvent and two dissolved substances. For homogenous solutions, we calculated dependences of Peusner's coefficients Wij and quotients Wij/Hij, Wij/Lij and Wij/Rij (i, j ∈ {1, 2, 3}) on average concentration of one component (C1) of the solution in a membrane when value of the second one is fixed (C2). Calculations were made using experimentally determined coefficients of reflection (σ), hydraulic permeability (Lp) and solute permeability (ω).
  
  
  CONCLUSIONS
  The network form of K-K equations that contain Peusner's coefficients Wij (i, j ∈ {1, 2, 3}) is a novel tool to study membrane transport. We showed that majority of the coefficients Wij and quotients Wij/Hij, Wij/Lij and Wij/Rij (i, j ∈ {1, 2, 3}) is sensitive for composition and concentration of solutions separated by a polymer membrane.
authors.affiliation: Katedra Informatyki Ekonomicznej, Uniwersytet Ekonomiczny, Katowice, Polska.
authors.forename: Kornelia M
authors.initials: KM
authors.lastname: Batko
authors.affiliation: Instytut Marketingu, Politechnika Częstochowska, Częstochowa, Polska.
authors.forename: Izabella
authors.initials: I
authors.lastname: Slęzak-Prochazka
authors.affiliation: Katedra Zdrowia Publicznego, Politechnika Częstochowska, Częstochowa, Polska.
authors.forename: Andrzej
authors.initials: A
authors.lastname: Slęzak
mesh_terms: D004573:Electrolytes; D008422:Materials Testing; D008567:Membranes, Artificial; D008956:Models, Chemical; D010539:Permeability; D011108:Polymers; D006435:Renal Dialysis / Q000295:instrumentation*; D012996:Solutions / Q000737:chemistry*; D012997:Solvents / Q000737:chemistry; D013816:Thermodynamics
chemical_list: D004573:Electrolytes; D008567:Membranes, Artificial; D011108:Polymers; D012996:Solutions; D012997:Solvents