Kinetic modeling of antibiotic adsorption onto different nanomaterials using the Brouers–Sotolongo fractal equation

In this study, the kinetic data of the adsorption of two antibiotics onto three nanoadsorbents was modeled using the Brouers–Sotolongo fractal model. The model parameters were calculated at different initial antibiotic concentrations using various approximations of the kinetic equation for two quantities of practical relevance: the sorption power and the half-time characteristic of the sorption. The merits of the nanomaterial were then compared in terms of their application in the elimination of dangerous antibiotic wastes. We also developed a formula to calculate the effective rate of the best adsorbent. This study presents the modeling method in detail and has a pedagogical value for similar researches.