Adsorption and desorption are separation processes of great practical significance in process industries, chromatographic techniques, ion exchange between solution and solid, drying, catalytic reactions, and distillation, to name but a few. In adsorption and desorption steps in fixed-beds, there exist a concentration wave front the shape of which indicates the degree of separation that can be achieved. The breakthrough curves which portray the shape of the concentration wave front in adsorbers/desorbers have significant value in terms of design, operation, and control of these systems. Transient behavior of sorption from a fixed-bed packed with thin-film-coated monodisperse spherical particles/hollow spheres in following conditions is modeled: 1- without axial dispersion with Linear Isotherm. 2- with axial dispersion and Linear Isotherm. 3- with axial dispersion and non-Linear Isotherm. The partial differential equations are solved numerically with finite difference method. The results are presented in form of breakthrough curves and concentration profiles in different times in adsorption and desorption modes. The shape of the breakthrough curve, or the concentration front, is influenced by both hydrodynamic and kinetic factors. Results reveal that effect of hydrodynamic factor is shown by axial dispersion effect with changes of Peclet number, and this effect on breakthrough curves is only important in Peclets less than 50 in Linear Isotherm and less than 80 in non-Linear Langmuir Isotherm. Effects of adsorption Isotherm and amount of its parameters, size of spherical particles and system geometry are also investigated.