. 2022 Jul 13;14(14):2855. doi: 10.3390/polym14142855

Table 4.

Kinetic parameters of the biosorption process conducted on SPA 5% biosorbent.

Kinetic Model	EL Initial Concentration, mg/L	Kinetic Parameters
Kinetic Model	EL Initial Concentration, mg/L	Q_e	k ₁	k ₂	α	β	k_Av	n_Av
Pseudo-first-order	20	8.7441	0.0072	-	-	-	-	-
	30	12.9952	0.0080	-	-	-	-	-
	40	17.8438	0.0082	-	-	-	-	-
	50	22.7148	0.0079	-	-	-	-	-
	60	26.7650	0.0081	-	-	-	-	-
Pseudo-second-order	20	12.5990	-	0.0004	-	-	-	-
	30	18.4352	-	0.0003	-	-	-	-
	40	25.2392	-	0.0002	-	-	-	-
	50	32.2967	-	0.0001	-	-	-	-
	60	37.6285	-	0.0001	-	-	-	-
Elovich	20	-	-	-	0.0781	0.2349	-	-
	30	-	-	-	0.1321	0.1636	-	-
	40	-	-	-	0.1854	0.1201	-	-
	50	-	-	-	0.2773	0.0932	-	-
	60	-	-	-	0.2822	0.0818	-	-
Avrami	20	8.7441	-	-	-	-	0.0998	0.0724
	30	12.9952	-	-	-	-	0.0788	0.1026
	40	17.8438	-	-	-	-	0.0813	0.1010
	50	22.7148	-	-	-	-	0.0911	0.0876
	60	26.6750	-	-	-	-	0.0818	0.0996