Association equilibrium model. I. Influence of pH and salt concentration on ion-exchanger

An association equilibrium model is presented in this work to illustrate the charged state of an ion-exchange adsorbent in electrolytic solution. This semi-empirical model considers the adsorption equilibrium of hydrogen ions and small-molecular salt ions with adsorbents, and it can be used to describe the effects of pH and salt concentration on the zeta potential, associated hydrogen ions and ionic capacity of adsorbents. The association equilibrium parameters of four commercial adsorbents were obtained by experimental data fitting. The model fitted the experimental data well, and their coefficients of determination (R²) of four adsorbents ranged from 0.924 to 0.994. The ratio coefficients of the association reaction with hydrogen ions ranged from 0.15 to 0.44 and those with salt counter-ions were all one. These data demonstrated that association reactions followed stoichiometric law, but that ionizable groups on ion-exchangers could not freely ionize as small molecule ions in solution. In this way, the performance of ion-exchange adsorbents can be characterized based on the zeta potential and dissociated hydrogen ions, and the results from this model were consistent with that from the manufacturer. Furthermore, this model could easily be expanded for multi-component systems.