Radial distribution of ions in pores with a surface charge

A sorption model applicable to calculate the radial equilibrium concentrati ons of ions in the pores of ion-selective membranes with a pore structure i s developed. The model is called the radial uptake model. Because the model is applied to a Nafion sulfonic layer with very small pores and the radial uptake model is based on the assumption that continuum equations are appli cable, the model is used near its limits of fundamental validity. However, the results indicate that the calculated profiles with the radial uptake mo del are realistic and similar to literature results (e.g. [J.R. Bontha, P. N.. Pintauro, J. Phys. Chem. 96 (1992) 7778; J.R. Bontha, P.N. Pintauro, Ch em. Eng. Sci. 49 (1994) 3835]). The membrane microstructure parameters (sur face charge density and pore diameter) have been determined by fitting the sorption of sodium as predicted by the radial uptake model to the sorption of sodium as predicted by the so-called modified Pitzer model [J.H.G. Van d er Stegen, A.J. van der Veen, H. Weerdenburg, J.A. Hogendoorn, G.F Versteeg , Fluid Phase Equilibria 157 (1999a) 181]. This modified Fitter model has p roven to be able to predict volume averaged sorption of ions in a sulfonic membrane layer. Via the introduction of a component dependent correction fa ctor in the radial uptake model, the sorption of ions other than sodium cou ld also be fitted to the volume averaged sorption data as predicted by the modified Fitter model. The correction factors were in the order of magnitud e of 0.05-10, and dependent on the concentration of sodium. The necessity o f the application of correction factors for the ions other than sodium may have been induced by the assumption that: the applicability of continuum equations in the model is justified and/or; the activity coefficients in the radial uptake model are equal to unity. It was observed that due to the preferential sorption of iron near the pore wall, the pore surface charge could be shielded, resulting in a decrease o f the preferential selectivity of the membrane for sodium. However, such a phenomenon does not occur in the operating range of the chloralkali process , where the sorption of iron inside the membrane is proportional to its ext ernal concentration. (C) 2001 Elsevier Science B.V. All rights reserved.