Al-Waste-Based Zeolite Adsorbent Used for the Removal of Ammonium from Aqueous Solutions

Table 2

Isotherm models applied for the NH₄⁺ adsorption onto Al-waste-NaP1.

Two-parameter isotherm model				Error function
Langmuir	qmax (mg/g)	kL (L/mg)		R^2	χ^2	RMSE	HYBRID
	46.05	0.01		0.995	3.291	0.993	25.228
Freundlich	kF (mg/g)/(mg/L)^n	n		R^2	χ^2	RMSE	HYBRID
	2.09	0.48		0.981	2.597	1.935	35.623
Temkin	A (L/g)	b (J/mol)		R^2	χ^2	RMSE	HYBRID
	0.50	413.74		0.901	11.384	4.453	179.190
Three-parameter isotherm model				Error function
Sips	qmax (mg/g)	kS × 10^−3 (L/mg)	n	R^2	χ^2	RMSE	HYBRID
	54.19	6.26	0.83	0.997	0.739	0.804	9.533
Toth	qmax (mg/g)	kT × 10^−2 (L/mg)	n	R^2	χ^2	RMSE	HYBRID
	58.46	1.10	0.68	0.996	0.833	0.935	10.026
Redlich–Peterson	kRP (L/g)	aRP (mg/L)^−β	β	R^2	χ^2	RMSE	HYBRID
	0.52	0.02	0.91	0.996	0.979	1.002	11.399