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

Table 10

Adsorption of hydroquinone and resorcinol: nonlinear fitting analysis for three-parameter isotherms (see equations in Tables 3 and 4).

Models	Parameters		R²	χ²	Errors
					RMSE	HYBRID	ARE	EABS
HQ/CAK-S
Hill	Qm (mg/g)	65.611	0.998	0.068	1.967	1.368	0.002	0.045
	KH (L/g)	0.276
	nH	1.150
Kahn	Qmax (mg/g)	69,940	0.992	0.336	4.363	6.723	0.014	0.385
	bK (L/g)	4.424
	aK	1.528
Redlich-Peterson	A (L/g)	757.85	0.998	0.083	2.168	1.661	0.0018	0.022
	B (L/mg)	23.149
	β	0.905
Sips	KS (L/g)	57.005	0.998	0.068	1.967	1.368	0.002	0.046
	aS (L/g)	0.868
	βS	0.276
Toth	Q (mg/g)	45.764	0.992	0.336	4.363	6.723	0.014	0.385
	Ke	0.832
	N	0.120
R/CAK-S
Hill	Qm (mg/g)	52.907	0.998	0.040	1.434	0.802	0.002	0.060
	KH (L/g)	0.443
	nH	1.220
Kahn	Qmax (mg/g)	92.049	0.994	0.222	3.372	4.435	0.040	0.986
	bK (L/g)	1.212
	aK	2.135
Redlich-Peterson	A (L/g)	123.84	0.998	0.058	1.372	1.177	0.001	0.032
	B (L/mg)	4.026
	β	0.911
Sips	KS (L/g)	43.344	0.998	0.040	1.436	0.803	0.002	0.060
	aS (L/g)	0.819
	βS	0.444
Toth	Q (mg/g)	43.097	0.994	0.222	3.372	4.436	0.040	0.986
	Ke	0.976
	N	0.126