Statistical-Mechanical Theory of Osmotic Pressure of One-Dimensional Multicomponent Systems.I.Expansion in Terms of the Molar Fractions of the Solutes

概要

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The osmotic pressure is discussed for the one-dimensional multicomponent system(solution) of molecules of species 1, 2,- I '>i,- - -, j,- l '>r having hard cores andinfinite-range attractions given by the potentials -2a,/L [o,7=positive constant,L = length (volume) of the system, L = oo with specific volume fixedl. The rnolar frac-lions c., c., - I I , c,. of the solutes (species 2, 3,- - - , r) and the specific volume and term-perature of the solution are assumed to be known. The specific volume of the pure sol-vent (species l) kept in contact with the solution through a semipermeable membrane(permitting the passage of the solvent only), and hence the osrnotic pressure of thesolution, is obtained from the equilibrium condition. The expansion of the osmoticpressure in terms of x(=L7=. c,3 and z [containing the c, (i=2, 3, t v l , 7')] is obtainedto the sixth order, starting from the first order (van't Hoff's law).
社団法人日本物理学会の論文
1991-09-15