“…Four classical kinetic theories are widely applied to modeling phosphate adsorption systems by LDHs: pseudo-first-order, pseudo-second-order, Elovich, and the intraparticle diffusion models, , which are expressed by the following equations: where q e and q t (mg g –1 ) are the amount of adsorbed phosphate at equilibrium and time t , respectively; k 1 (h –1 ) and k 2 (g mg –1 h –1 ) are the rate constants of the PFO and PSO models, respectively; a (mg g –1 h –1 ) is the initial adsorption rate constant of the Elovich model; b (mg g –1 ) is the desorption rate constant; k i is the intraparticle diffusion rate constant (mg g –1 h –1/2 ); and C i represents a constant in the intraparticle diffusion equation . Most published works use the PSO model to predict the experimental phosphate adsorption data by LDHs and calculate the adsorption rate constants. ,,− For instance, the PSO model can well-fit the phosphate removal by La-CaFe-LDH reported by Yuan et al, indicating a chemisorption process . Interestingly, the Elovich model, an empirical equation considering the contribution of desorption, is reported to be the most suitable for describing the kinetic phosphate adsorption onto Ca 2 Al-LDH .…”