Parts I and I1 of this work1r2 presented the results of investigations of the phase changes of systems known in the literature as capable of forming coacervates or those we considered as such. The complete regularity with whichdepending on the temperature, the composition of the solvent, and the concentration of the polymerthere appeared the two types of separation that we denoted as coacervation and demixing, as well as the possibility of giving a logical and thorough explanation of the phenomenon made us assume that coacervation is one of the phenomena of phase separation and can be expressed by means of known thermodynamic laws. The aim set for this work is to test the above assumption.
THEORETICAL TREATMENTThe theoretical conditions of phase equilibrium for nonelectrolyte solutions have been given by Tompa3 and Scott4 and for electrolytes by Voorn.b From the binodial and the critical points of miscibility and through comparison with experimental results obtained by Dobry,lS Bamford and Tompa6 tried to prove the coincidence of the investigated phenomenon with simple phase separation. However, the theoretical results did not quite agree with the experimental data. I n the author's opinion, therefore, the coincidence between the phase separation determined by the thermodynamic conditions and coacervate separation has not up to now been proved. The main reason for the divergence will probably be the fact that the expression for the thermodynamic potential of mixing is not sufficiently precise.Maron' in his publication of 1959 gave an equation for the thermodynamic potential of mixing for a two-component system. I n further works8 it was shown that the values calculated on the basis of the given theory agreed very well over the entire concentration range with those obtained experimentally.Generalizing Maron's expression for the thermodynamic potential of mixing AG, and applying it to an n-component system, we obtain:Here, nt denotes the mole fraction of component i; vt is the volume fraction of component i; V o and V are the volumes of components of the system before and after mixing, respectively; ci and roi are coefficients of effective volume of component i in the pure liquid state and in solution, respectively; xtj is the coefficient of molecular interactioh between components i and j; and mi is the ratio of molar volumes of pure component i and solvent .If eq. (1) is used to calculate the conditions of the phase equilibrium in a three-component system, the parametric equation of the binodial will be given by eqs. (2) : 399