Table 2. Kinetic models for adsorption of ARS and SMX by Fe₃O₄/BAC.

Kinetic model	ARS (single)	SMX (single)	ARS (binary)	SMX (binary)
Pseudo first-order
Q 1 (mg g−1)	30.095 ± 0.649	13 ± 0.094	42.361 ± 0.284	19.397 ± 0.092
k 1 (1 min−1)	0.020 ± 0.0017	0.039 ± 0.0013	0.031 ± 0.0001	0.078 ± 0.0022
MRE	14.499 ± 0.840	13.106 ± 0.645	4.224 ± 0.691	8.637 ± 0.595
(Radj)2	0.943 ± 0.011	0.900 ± 0.006	0.988 ± 0.004	0.951 ± 0.002
Pseudo second-order
Q 2 (mg g−1)	38.947 ± 0.820	15.348 ± 0.158	51.547 ± 0.445	21.165 ± 0.154
k 2 (g mg−1 min−1)	0.0005 ± 0.0001	0.0032 ± 0.0002	0.0006 ± 0.0002	0.0060 ± 0.0005
MRE	11.376 ± 0.977	10.187 ± 0.284	2.649 ± 0.827	4.791 ± 0.427
(Radj)2	0.961 ± 0.011	0.942 ± 0.004	0.994 ± 0.003	0.982 ± 0.0053
Elovich
α (mg g−1 min−1)	0.990 ± 0.109	1.624 ± 0.104	2.644 ± 0.164	16.722 ± 0.826
β (g mg−1)	0.092 ± 0.006	0.314 ± 0.007	0.078 ± 0.002	0.334 ± 0.015
MRE	8.346 ± 0.856	7.093 ± 0.342	3.443 ± 0.911	3.101 ± 0.703
(Radj)2	0.975 ± 0.010	0.972 ± 0.002	0.986 ± 0.005	0.994 ± 0.002
Bangham
k B	2.682 ± 0.288	2.981 ± 0.087	6.714 ± 0.284	8.679 ± 0.337
α B	0.482 ± 0.022	0.311 ± 0.006	0.378 ± 0.008	0.176 ± 0.008
MRE	4.766 ± 0.804	5.596 ± 0.048	6.733 ± 0.867	2.931 ± 0.816
(Radj)2	0.988 ± 0.008	0.985 ± 0.002	0.959 ± 0.009	0.994 ± 0.001