title: [Network form of the Kedem-Katchalsky equations for ternary non-electrolyte solutions. 8. evaluation of Pij Peusner's coefficients for polymeric membrane].
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).
  
  
  OBJECTIVE
  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).
  
  
  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.
authors: Katedra Informatyki Ekonomicznej, Uniwersytet Ekonomiczny w Katowicach, Katowice, Polska.
authors: Kornelia M
authors: KM
authors: Batko
authors: Instytut Marketingu, Politechnika Częstochowska, Częstochowa, Polska.
authors: Izabella
authors: I
authors: Slęzak-Prochazka
authors: Katedra Zdrowia Publicznego, Politechnika Częstochowska, Częstochowa, Polska.
authors: Andrzej
authors: A
authors: Slęzak
mesh_terms: D000431:Ethanol / Q000737:chemistry; D005950:Glucose Solution, Hypertonic / Q000737:chemistry; D015312:Hemodialysis Solutions / Q000737:chemistry; D008567:Membranes, Artificial; D008956:Models, Chemical; D010539:Permeability; D011108:Polymers / Q000737:chemistry; D012996:Solutions / Q000737:chemistry*; D013816:Thermodynamics
chemical_list: D005950:Glucose Solution, Hypertonic; D015312:Hemodialysis Solutions; D008567:Membranes, Artificial; D011108:Polymers; D012996:Solutions; D000431:Ethanol