At first, the KASRA model and KASRA equation are discussed [1][2][3]. KASRA is an abbreviation for "Kinetics of Adsorption Study in the Regions with Constant Adsorption Acceleration". The KASRA model was presented by Samiey [1] in 2013 and is based on the following assumptions: (1) each time range with constant adsorption acceleration, is named a "region", (2) there are two regions before attaining plateau region, (3) the boundaries between the first and second regions and the second and third (plateau) regions are named "starting second region" (abbreviated as ssr) and "kinetics of adsorption termination" (abbreviated as kat) points, respectively and are determined by the KASRA equation, (Figures 1-4). Due to different features of the first and second regions, parameters obtained from a kinetic equation (such as the pore-diffusion, Avrami and Elovich equations, etc.) for these two regions are different from each other and the related equations for these regions come different pathways to the point q t =0 at t=0 (or q 01 according to the KASRA model). It is good to say that KASRA is a Persian word meaning king. AbstractIn different concentration ranges of adsorbed species, various interactions occur between them and surface adsorption sites and there are different regions in an adsorption isotherm. In the common method for study of adsorption process, all of these regions are considered as one region and thus there are concerns regarding using adsorption equations. In this work, based on the KASRA and ARIAN regional models, a new method is presented for analysis of adsorption kinetic and thermodynamic data, respectively. The KASRA and ARIAN models are three-and four-region models, respectively and adsorption equations are used on the basis assumptions used in these models. According to the ARIAN model, adsorption binding constant of each region of an adsorption isotherm is different from the other regions. On the other hand, based on the kinetic KASRA model and ideal-second-order (ISO) equation, during the adsorption in each initial adsorbate concentration, different interactions occur between adsorbate species and adsorbent surface sites and thus the observed adsorption binding constant is an average value of these binding constants.
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