Optimized Removal of Hydroquinone and Resorcinol by Activated Carbon Based on Shea Residue (Vitellaria paradoxa): Thermodynamics, Adsorption Mechanism, Nonlinear Kinetics, and Isotherms

Table 8

Kinetic data obtained by nonlinear fitting analysis (see equations in Table 3 and 4).

Models	Parameters		R^2	χ^2	Errors
					RMSE	HYBRID	ARE	EABS
HQ/CAK-S
Pseudo-first-order	qe (mg/g)	32.577	0.994	0.189	2.479	1.575	0.028	1.577
	K1 (1/min)	0.124
Pseudo-second-order	qe (mg/g)	37.164	0.991	0.258	2.962	2.151	0.027	1.558
	K2 (g/min.mg)	0.004
Elovich	Α (mg/g.min)	47.579	0.998	0.072	1.562	0.597	0.001	0.042
	Β (mg/g.min)	0.198
Intraparticle diffusion	Kid (mg/g.min^0.5)	2.036	0.979	0.658	4.732	5.488	3.5 × 10^−6	0.000
	C (mg/g)	13.182
R/CAK-S
Pseudo-first-order	qe (mg/g)	34.930	0.996	0.143	2.269	1.191	0.017	1.057
	K1 (1/min)	0.182
Pseudo-second-order	qe (mg/g)	36.503	0.998	0.030	1.045	0.253	0.003	0.187
	K2 (g/min.mg)	0.009
Elovich	Α (mg/g.min)	2007.7	0.999	0.014	0.723	0.121	2.33 × 10^−5	0.001
	Β (mg/g.min)	0.313
Intraparticle diffusion	Kid (mg/g.min^0.5)	1.636	0.967	1.135	6.396	9.453	5.02 × 10^−7	3.04 × 10^−5
	C (mg/g)	18.048