A semiempirical equation for the excess volume Avm in simple liquid mixtures such as Ar-N 2, methane-ethane and benzene-cyclohexane, and polymer solutions such as polyisobutylene-benzene and polystyrene-cyclohexane, has been derived based on the experimental data of Arm for simple liquid mixtures by Calado et al. and Rabio et al. and for polymer solutions by Flory et al. and Patterson et al. The expression for the specific volume of mixtures vm obtained in this work is given by 13 m = U~(V~I/U~ )Y(Xl ) where r(xl) = [-2"/(2"- 1)] - [ ( 2 - x t ) " ( 2 " - 1) -~] and where v~ and v] are the specific volumes of solvent (0) and solute (l), respectively, in the pure state, xl is the mole fraction of solute (l) and n(4=0) is a function of temperature and pressure. Values of n at 1 atm and 20-25°C for various mixtures including polymer solutions range from - 1.1 to 5.5. It is found that Avm is negative for mixtures with v]/v~ < l, while Avm > 0 for v]/v~ > 1 in most simple mixtures except for polymer solutions with Arm > 0.
Посилання на статтю:
Semiempirical equation for the excess volumes in simple liquid mixtures and polymer solutions / S. Saeki, M. Tsubokawa, J. Yamanaka and T. Yamaguchi // Polymer. – 1992. – Vol 33. – P. 2382-2387.