M. Franzreb et al., LIQUID-PHASE MASS-TRANSFER IN MULTICOMPONENT ION-EXCHANGE .2. SYSTEMSWITH IRREVERSIBLE CHEMICAL-REACTIONS IN THE FILM, Industrial & engineering chemistry research, 34(8), 1995, pp. 2670-2675
Liquid-phase mass transfer in ion exchange controlled by diffusion acr
oss a Nernst film was studied. The expression for the momentary ion fl
uxes in systems without chemical reactions which was derived in a prev
ious article is expanded to the more general case of systems where an
irreversible chemical reaction occurs inside the film. In the case of
two counterions and two colons an analytical solution is obtained, whi
ch for the first time allows arbitrary valences to be adopted for all
ions. For the general case of any number of counterions and colons the
original system of differential equations is reduced to a set of nonl
inear, algebraic equations, which are much easier to solve. Exemplary
calculations show that the introduction of an irreversible chemical re
action does not necessarily increase the effective diffusion coefficie
nts of the ions and that in systems with chemical reactions in the fil
m the total concentration at the resin boundary may substantially diff
er from that in the bulk, even for small fractions of the reacting col
ons.