TABLE 2.

The estimated mathematical parameters of loading kinetic, classic isotherm, advanced isotherm, and release kinetic models.

Model	Parameters	GL	EXGL	Mth/EXGL
Kinetic models
Pseudo-first-order	K1 (min-1)	0.166	0.157	0.146
	Qe (Cal) (mg/g)	109.77	169.4	267.2
	R2	0.94	0.95	0.97
	X2	2.79	2.69	2.49
Pseudo-second-order	k2 (g mg-1 min-1)	8.3 × 10−4	5.11 × 10−4	3.01 × 10−4
	Qe (Cal) (mg/g)	152.3	235.8	373.8
	R2	0.91	0.94	0.96
	X2	3.8	3.96	3.69
Isotherm models
Langmuir	Qmax (mg/g)	119.1	206.7	324.6
	b(L/mg)	1.94 × 10−8	6.19 × 10−9	1.5 × 10−10
	R2	0.99	0.99	0.98
	X2	0.025	0.14	1.64
	RL	0.99	0.99	0.99
Freundlich	1/n	0.34	0.30	0.12
	kF (mg/g)	124.1	206.3	310.2
	R2	0.98	0.98	0.99
	X2	0.84	1.01	0.36
D-R model	β (mol2/KJ2)	0.0062	0.0066	0.0088
	Qm (mg/g)	136.1	236.6	330.7
	R2	0.98	0.97	0.98
	X2	0.74	2.27	2.51
	E (KJ/mol)	8.95	8.70	7.53
Monolayer model of one energy	n	4.53	5.27	7.2
	Nm (mg/g)	26.3	38.4	45.5
	Q(sat) (mg/g)	119.3	202.4	327.7
	∆E (kJ/mol)	−10.06	−10.2	−6.8

	EXGL		Mth/EXGL
	Acetate buffer (pH 5.5)	Phosphate buffer (pH 7.4)	Acetate buffer (pH 5.5)	Phosphate buffer (pH 7.4)
Release kinetics
Zero-order	0.69	0.67	0.66	0.57
First order	0.91	0.92	0.98	0.98
Higuchi	0.89	0.86	0.87	0.80
Hixson-Crowell	0.85	0.88	0.93	0.94
Korsmeyer-peppas	0.84	0.84	0.82	0.83
n	0.63	0.51	0.49	0.57