An unsteady-state model of the “SORBEX” system is developed using a nonlinear equilibrium isotherm. This model is solved from the unsteady state to steady state using the dispersed plug flow model with Danckwert boundary conditions. The effect of various process parameters on the performance of the system are investigated. The present study reveals that the system performance and dynamics are strongly dependent on bed length, column diameter, feed and eluent flow rate, switch time, and nonlinearity of the isotherm. There exists a set of optimum values of these process parameters that represents the proper combination for best performance. The results obtained from the present simulation for the limiting case of linear isotherms (glucose-fructose) and nonlinear isotherms (monoethanol-amine-methanol) systems are compared with experimental data and were found to agree well.