“…Five different adsorption kinetic models including pseudo-first-order (eqn (4)), pseudo-second-order (eqn (5)), Avrami fractional-order (eqn (6)), intra-particle diffusion (eqn (7)), and liquid film diffusion (eqn (8) and (9)) models were used to establish the kinetic predictions for TC adsorption with P-nZVI/ESBC composite. These models are expressed as follows: 2,3,39,40 q t = q e (1 − e − k 1 t )
q t = q e [1 − e −( k 3 t ) n ] q t = k 4 t 1/2 + C Ln(1 − F ) = − k 5 t
where, k 1 (min −1 ), k 2 (g mg −1 min −1 ), k 3 (min −1 ), k 4 (mg g −1 min −1/2 ), and k 5 (min −1 ) represent the adsorption rate constants of pseudo-first-order, pseudo-second-order, Avrami fractional-order, and intra-particle diffusion models, respectively; C (mg g −1 ) is the intercept of intra-particle diffusion model; F represents the equilibrium fractional achievement at reaction time t .…”