Analytical solution of the ideal, nonlinear model of reaction chromatography for a reaction A→B and a parabolic isotherm

The analytical solution of the ideal, nonlinear model of reaction chromatography for the simplest possible chemical reaction, A→B and with a parabolic isotherm for the reagent, is derived for two types of boundary conditions, the injection of a rectangular concentration pulse of finite width (elution) and that of an instantaneous concentration jump (Riemann problem or breakthrough curve). The areas of the profiles of the reagent and of the product of the reaction are calculated in both the ideal and the nonideal cases. The effects of the nonlinear behavior of the equilibrium isotherm and of axial dispersion on the reagent profile are discussed using analytical and numerical methods.