Using a semi-empirical model developed previously by the authors the c
ation exchange equilibria within the ternary H+ - Na+ - K+ system, and
the quaternary H+ - Na+ - K+ - Ca++ system were investigated. Non-ide
alities in the solution phase are considered by applying Fitter's mode
l for electrolyte behaviour while the resin phase activity coefficient
s are calculated by applying Wilson's model. Using the equilibrium con
stants and two binary interaction parameters determined experimentally
for each of the constitutive binary systems, the equilibrium behaviou
r for the ternary and quaternary are predicted. The average deviations
are all of smaller magnitude than the experimental error for the tern
ary and quaternary ion exchange systems studied.