In a recent publication, we presented a novel theory based on a statis
tical geometric concepts which gave a simple analytical expression for
the coexistence curves (binodals) of aqueous two-phase systems. In th
e present paper, this theory (which we term the binodal model) has bee
n applied, with considerable success, to polymer + polymer and polymer
+ salt aqueous two-phase systems. For polyethylene glycol (PEG) + Dex
tran (Dex) aqueous two-phase systems, the binodal model gives satisfac
tory agreement with experiment when the molar mass ratio of Dex to PEG
greater than or equal to ca. 4. For PEG + salt aqueous two-phase syst
ems, where the molar mass ratio of PEG to salt is almost invariably la
rge, the binodal model works well. The model also explains the influen
ce of both temperature and polymer molar mass on binodals and confirms
the experimental observation found for some systems that under some c
ircumstances the lower-molar-mass polymer can induce phase separation
at lower concentrations than the polymer with the higher molar mass.