ABSTRACT:On the basis of Flory"s equation-of-state theory, an expression is developed to characterize the thermodynamic interactions in polymer solutions of infinite dilution. It has been successfully applied to deal with the variations of Flory-Huggins interaction parameter with temperature for polystyrene and polyisobutylene in both good and poor solvents. The shortcomings of the model are discussed. The lattice model of polymeric systems originally proposed by Flory and Huggins indeed plays a major role in understanding the thermodynamic properties of polymer solutions as well as the thermodynamic miscibility of polymer and copolymer blends. 1 • 2 This classical theory adopts a binary interaction parameter, which, in the present context, is designated by the polymer-solvent interaction parameter, X, to characterize the exchange interaction energy. Traditionally, x is treated as an empirical quantity. As a result, the Flory-Huggins solution thermodynamics fails to elucidate the underlying causes of lower and upper critical solution temperatures (LCST and UCST) and volume change of mixing. However, the recent advances of equation-ofstate theroy which expresses x as a function of polymer concentration and temperature, T, explicitly, provide the theoretical basis for the foregoing phenomena. 3 -6 In this work, the x-T relationships for a number of polymer solutions are examined by the equation-of-state theory. More important, it offers an alternative route to extract the characteristic parameters of this contemporary model as described later.
KEY WORDSAccording to the Flory-Huggins theory, the thermodynamic interactions in polymer solutions are given by x=µ~/RTV~ (1) where R is the gas constant, V2 andµ~ are the volume fraction and residual chemical potential respectively. Hereafter, the subscripts I and 2 respectively refer to the solvent and polymer in the mixture. By considering the importance of the free volume constribution and the exchange interaction enthalpy and entropy to the free energy of mixing, Flory has derived where M;, i\, i5;, T;, and P;* (i = 1, 2) are the molecular weight, specific volume (ml g-1 ), 321