Theoretical study of the bi-ionic potential and confrontation with experimental results

A theoretical study of the bi-ionic potential (BIP) has been carried out us ing the extended Nernst-Planck equation in the case of a mixed control of t he interdiffusion process by the ion-exchange membrane (IEM) and the diffus ion boundary layers (DBLs), a non-zero co-ion flux, a non-zero water flux, a variable selectivity coefficient and an affinity coefficient different fr om unity. The numerical integration of the two coupled differential transpo rt equations allowed, for a given common concentration C-0, the computation of the BIP from the values of 12 parameters required. Three of these 12 parameters are taken from the literature, the others are determined from independent experiments except the DBL thickness and the co -ion diffusion coefficient in the membrane. We have developed a procedure t o deduce these two parameters from the experimental curves of the BIP vs. C -0. For the NaCl/CM2/LiCl bi-ionic system, the DBL thickness changes from 59 mu m at high stirring rate to 196 mu m in the absence of stirring. The chlori de diffusion coefficient in the CM2 membrane has been estimated to be equal to 2.1x10(-7) cm(2) s(-1). Using these values, we have studied theoretically the influence of each of the three parameters: affinity coefficient, selectivity coefficient and wat er flow. We have shown that the affinity coefficient has the most important contribution but the selectivity coefficient and the water flow influence only the BIP at high common concentrations. (C) 1999 Elsevier Science B.V. All rights reserved.