Batko Kornelia M, Slęzak-Prochazka Izabella, Slęzak Andrzej
Katedra Informatyki Ekonomicznej, Uniwersytet Ekonomiczny w Katowicach, Katowice, Polska.
Instytut Marketingu, Politechnika Częstochowska, Częstochowa, Polska.
Polim Med. 2014 Apr-Jun;44(2):89-107.
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).
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).
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.
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).
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.
佩乌斯纳热力学网络(PNT)方法能够得到凯德姆 - 卡察尔斯基(K - K)方程的网络形式。这些方程是K - K方程经典形式的对称和/或混合变换的结果。对于由一种溶剂和两种溶解溶质组成的三元非电解质溶液,可得到以下K - K方程的网络形式:两种对称形式(包含佩乌斯纳系数Rij或Lij)和六种混合形式(包含佩乌斯纳系数Hij、Wij、Nij、Kij、Sij或Pij)。
使用包含佩乌斯纳系数Pij(i, j ∈ {1, 2, 3})的均匀三元非电解质溶液的K - K方程网络形式,目的是计算Pij的浓度依赖性,并将其与本文第7部分(《Polim. Med. 2014, 44, 39 - 49》)中给出的Sij(i, j ∈ {1, 2, 3})系数的浓度依赖性进行比较。
在实验中,使用具有特定传输特性(Lp、σ、ω)的聚合物血液透析Nephrophan膜处理乙醇水溶液中的葡萄糖溶液。该方法涉及PNT形式主义和三元非电解质溶液的K - K方程。
计算的目的是得出在溶液均匀性条件下,Pij佩乌斯纳系数和Pij/Sij(i, j ∈ {1, 2, 3})商随溶液一种组分的平均浓度(C1)以及第二种组分的确定值(C2)的变化关系。
包含佩乌斯纳系数Pij(i, j ∈ {1, 2, 3})的K - K方程网络形式是一种可应用于膜传输研究的新工具。计算表明,这些系数对由聚合物膜分隔的溶液的浓度和组成敏感。