Table 6.

Statistical error functions of estimated kinetic nonlinear models for the biosorption process conducted on SPA 5% biosorbent.

Kinetic Model	EL Initial Concentration, mg/L	Statistical Error Function
		RMSE	MPSD	HYBRID	Χ 2	R 2
Pseudo-first-order	20	0.1841	17.2244	1.8257	0.3317	0.9942
	30	0.1932	6.7392	1.0871	0.2092	0.9973
	40	0.2364	5.1621	1.0964	0.2139	0.9979
	50	0.3155	6.0400	1.7042	0.3290	0.9976
	60	0.5595	15.2104	7.3399	2.0171	0.9944
Pseudo-second-order	20	0.1510	19.7638	1.5343	0.2355	0.9961
	30	0.1549	9.2838	1.1011	0.1836	0.9983
	40	0.1871	4.8811	0.8149	0.1437	0.9986
	50	0.2474	5.8828	1.2903	0.2207	0.9985
	60	0.4223	12.5293	4.5434	1.2118	0.9968
Elovich	20	0.1364	23.9650	1.7086	0.2186	0.9968
	30	0.1894	13.6630	1.9533	0.2889	0.9974
	40	0.2487	7.9983	1.5949	0.2557	0.9976
	50	0.3035	8.6210	2.1413	0.3315	0.9978
	60	0.3633	10.1217	2.9546	1.2118	0.9976
Avrami	20	0.1841	17.7237	1.9332	0.3317	0.9942
	30	0.1932	6.9345	1.1511	0.2093	0.9973
	40	0.2364	5.3118	1.1610	0.2139	0.9979
	50	0.3155	6.2151	1.8044	0.3290	0.9976
	60	0.5595	15.6514	7.7718	2.0171	0.9944