A Stochastic Model for Adsorption Kinetics

A novel stochastic model is proposed to characterize the adsorption kinetics of pollutants including dyes (direct red 80 and direct blue 1), fluoride ions, cadmium ions removed by calcium pectinate (Pec-Ca), aluminum xanthanate (Xant-Al), reed leaves, respectively. The based on a transformation over time following Ornstein–Uhlenbeck process, which explicitly includes uncertainty involved in process. versions pseudo-first-order (PFO), pseudo-second-order (PSO), pseudo- n -order (PNO) models. It also allows estimation parameters, maximum removal capacity ( id="M2">qe ), rate constant id="M3">kn reaction pseudoorder id="M4">n variability id="M5">σ2 . fitted produced id="M6">R2 values similar those nonstochastic PFO, PSO, PNO models; however, obtained for each parameter indicate that better reproduces experimental data. id="M7">qe Pec-Ca-dye, Xant-Al-fluoride, leaf-Cd+2 systems ranged from 2.0 9.7, 0.41 1.9, 0.04 0.29 mg/g, respectively, whereas id="M8">kn 0.051 0.286, 0.743 75.73, 0.756 8.861 (mg/g)1-n/min, These results suggest parameters id="M9">qe id="M10">kn inherent natures adsorbate adsorbent. id="M11">n 1.13 2.02 Pec-Ca-dye system, 1.0–3.5 Xant-Al-fluoride 1.8–3.8 system. ranges flexibility obtain fractional id="M12">n values, resulting high id="M13">R2 values. system was evaluated id="M14">σ2 developed first describe pollutant differential equation.