ABSTRACT:The apparent dissociation constants, pK., of weak polyacids in aqueous salt solutions are estimated as a function of the degree of dissociation, rl, by our new model for counterion condensation (Intermediate Model, IMM) and our corrected previous model (CPM). Both models predict smooth titration curves free from a break point which is a defect in the prediction by Manning theory. Titration curves obtained by CPM show a maximum, indicating that CPM overestimates the degree of condensation with increasing rl. Sigmoidal titration curves are predicted by IMM; the underestimation for a lower rl region of poly( acrylic acid) is corrected through effective charge densities estimated from the counterion activity data, and that observed for the higher rl region is interpreted as caused by hydration changes of the polyion with rl.KEY WORDSIn our preceding study (Part I 1 ), we have examined our modified models for counterion condensation (Corrected Previous Model (CPM) and Intermediate Model (IMM)) by comparing with previous condensation theories by Manning 2 and Iwasa et a/. 3 and with experimental data for the counterion activity coefficients, y/. In the present study, we apply IMM and CPM to potentiometric titration of weak polyacids. The apparent dissociation constant, Ka, is estimated as a function of the charge density or the degree of dissociation, IX, by taking account of the counterion condensation. Manning has already derived equations for pKa (=-log Ka) based on his condensation theory. 5 The predicted titration curve, pKa vs. IX, however, shows a break at the critical charge density above which the counterion condensation will take place. This discontinuity is caused by an artifact that the volume term, VP, for the condensed phase abruptly appears at the critical point * To whom correspondence should be addressed.in the derivation of the equation. As dein part I, we have adopted models devoid of VP, IMM and CPM, since it is the use of VP term, i.e., the assumption on the presence of the condensed phase that prevents Manning theory from estimating the ionic strength dependence of the condensation. As shown below, our models (IMM and CPM) do not give such a discontinuity in the theoretical titration curves. This is also because both models assume counterion binding modes which do not involve such a volume term; in CPM the mixing entropy of the condensed counterions is neglected and in IMM the binding position of the condensed counterions is assigned to charged groups.In the following sections, theoretical equations for the titration curve are derived based on IMM and CPM and the results are compared with experimental data. Effects of polymer conformation and hydration changes 1201