“…Since the ion-exchange reactions at the exchange groups in the resin phase are in general very fast, the rate determining step is predicted to be either film diffusion or particle diffusion, depending on various experimental conditions: solution pH, temperature, the molecular size of an ion, the pore-size of the three-dimensional network of a resin, and so forth. Besides these factors governing the ion-exchange processes, the role of the Donnan electric potential in the ion-exchange processes has been sometimes discussed [4][5][6][7][8][9]. In practice, since the Donnan electric potential generated at the resin/solution boundary influences the particle diffusion processes of ions, its effects on ion-exchange reactions have been hitherto studied theoretically and experimentally for both film membrane [4,7] and bead systems [8,9].…”