: Adsorption and desorption are separation processes of great practical significance in process industries, chromatographic techniques, ion exchange between solution and solid, drying, purification of air and water, catalytic reactions, to name but a few. The concentration wave front the shape of which indicates the degree of separation that can be achieved. A central issue in design, operation, optimization and control of fixed bed adsorbers/desorbers is the prediction of spatio-temporal concentration variations or breakthrough curve the effluent stream. The shape of the breakthrough curve or the concentration front is influenced by both hydrodynamic and kinetic factors. Hollow/inert core spherical particles may demonstrate properties that are remarkably different from those of core particles. It is established that the structure, composition, and size of these particles can be tuned to tailor their hollow/shell particles demonstrate lower density, higher specific surface area, and particular optical properties. Core–shell particles are a justify; LINE-HEIGHT: 90%; MARGIN: 0in 0in 0pt; unicode-bidi: embed; DIRECTION: ltr" Keywords: Adsorption, Desorption, Packed-Beds, breakthrough curve, Linear sorption isotherm, Numerical solution, Finite difference