Concentration dependencies of the Pij Peusner coeffcient for the non-electrolyte ternary solutions
Concentration dependencies of the Pij Peusner coeffcient for the non-electrolyte ternary solutions

Summary/Abstract: Peusner’s Network Thermodynamics belongs to a group of modern thermodynamics. It provides a convenient research framework for membrane transports. One of the many research tools to study membrane transport are Kedem-Katchalsky equations. A network forms of hybrid Kedem-Katchalsky equations (K-K) for ternary non-electrolyte solutions may contain one of the six Peusner coefficients i.e. Hij, Wij, Nij, Kij, Sij or Pij (i, j  {1, 2, 3}) that form third-order matrices of the Peusner coefficients i.e. [H], [W], [N], [K], [S] or [P]. Aim of this study was to calculation of family of dependencies of Peusner coefficients Pij (i, j  {1, 2, 3}) on average concentration of a homogeneous solution of one component in a membrane (C ̅_1) for several different values of the second component (C ̅_2). Calculations were made for aqueous glucose and ethanol solutions and membrane with transport parameters Lp, σ and ω on the basis of network K-K equations for ternary solutions of non-electrolytes that contain the coefficient Pij. It has been shown that the Pij are non-linearly (hyperbolic) dependent on solutions concentrations C ̅_1 and C ̅_2. Non-linearity of coefficients Pij results from the properties of mathematical equations describing them.

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