Why does adsorption reactions mostly follow pseudo second order kinetics and sometimes pseudo first order. Why not other order reactions? What does they interpret with pseudo second order and pseudo first order?
Well, those "pseudo" orders imply that your mechanism contains different or more elementary reactions, but in its overall behaviour it resembles a first or second order process. Having a higher order would imply that there is a step involved in which three reactands or more are progressing in a concerted manner which occasionally happens, but usually it's two reacting with each other and then the third one is added. Usually one of these steps is slower and thus rate-determining and therefore also pseudo-order-determining.
Adsorption processes rahat approaching the maximum asymptotically give a straight line as X/Y=mX+n. Langmuir in adsorption isotherm and PSO in adsorption kinetics give this linear equation (However, there are other linear forms of these models)
New models that fit better, or new forms of existing models may be coming soon (two of them that belong me and my collague will be released in deswat journal soon: linear type 7 and type 8 models derived from PSO)