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. 2026 Jul 6;16(36):37797–37815. doi: 10.1039/d6ra01341d

Table 3. Kinetic models for adsorption of ARS and SMX by ZnFe2O4/BAC.

Kinetic model ARS (single) SMX (single) ARS (binary) SMX (binary)
Pseudo first-order
Q 1 (mg g−1) 37.682 ± 0.291 45.197 ± 0.319 45.228 ± 0.178 35.878 ± 0.062
k 1 (1 min−1) 0.027 ± 0.001 0.137 ± 0.008 0.047 ± 0.002 0.085 ± 0.001
MRE 11.365 ± 0.840 4.312 ± 0.387 6.498 ± 0.645 9.776 ± 0.176
(Radj)2 0.973 ± 0.008 0.984 ± 0.003 0.979 ± 0.005 0.934 ± 0.002
 
Pseudo second-order
Q 2 (mg g−1) 46.693 ± 0.557 47.991 ± 0.393 51.688 ± 0.280 39.432 ± 0.084
k 2 (g mg−1 min−1) 0.001 ± 0.00004 0.006 ± 0.00047 0.001 ± 0.00008 0.003 ± 0.00004
MRE 9.157 ± 1.966 1.205 ± 0.581 5.366 ± 0.559 5.507 ± 0.172
(Radj)2 0.986 ± 0.006 0.998 ± 0.001 0.982 ± 0.003 0.978 ± 0.001
 
Elovich
α (mg g−1 min−1) 1.868 ± 0.108 2375.066 ± 0.944 7.399 ± 0.943 37.611 ± 0.754
β (g mg−1) 0.084 ± 0.002 0.234 ± 0.012 0.098 ± 0.003 0.178 ± 0.001
MRE 3.570 ± 0.857 1.816 ± 0.493 5.384 ± 0.623 1.693 ± 0.165
(Radj)2 0.9938 ± 0.003 0.9968 ± 0.002 0.971 ± 0.007 0.9971 ± 0.002
 
Bangham
k B 4.865 ± 0.273 27.892 ± 0.512 12.333 ± 0.752 16.011 ± 0.060
α B 0.415 ± 0.011 0.111 ± 0.013 0.272 ± 0.012 0.179 ± 0.001
MRE 4.587 ± 0.413 2.730 ± 0.839 7.033 ± 0.617 0.874 ± 0.104
(Radj)2 0.996 ± 0.001 0.932 ± 0.089 0.958 ± 0.010 0.999 ± 0.001