Theoretical study of interdiffusion of aqueous solutions of 1 : 1 electrolytes having the same anion through a cation-exchange membrane

Theoretical and experimental investigation of interdiffusion in MF-4SC sulfonated cation-exchange membranes

“…Boundary value problem (1)-(11) implies an exact analytical solution (this solution is described in detail in [14]). Note that, in this study, an algebraic expres sion for coefficient P as a function of electrolyte con centration on both sides of the membrane has been first derived: …”

“…(14), it is possible to find a relationship between the diffusion coefficients of the cations and the equilibrium distribution coefficients; this feature greatly simplifies subsequent calculations. It is evident from Eqs.…”

“…(21)). Analysis of the ion concentration profiles with respect to the studied electrolytes and MF 4SC mem brane using the general solution of the problem [14] yields a pattern schematically shown in Fig. 3 the left interface of the membrane (x = 0) to a value of ≈ at the right inter face (x = h).…”

“…3 the left interface of the membrane (x = 0) to a value of ≈ at the right inter face (x = h). It is also of interest to note that under accepted assumptions about null current density and null electric potential, according to the general solu tion [14], the profile of the electric potential in the membrane is entirely determined by the profile of the relative concentration and equilibrium partition coef ficient of the coion (chlorine):…”