Table 3. Adsorption Kinetic Parameters of LBF and LBZ for RB4 Dye Adsorptions.

regression method	model	parameter	LBF	LBZ
linear	pseudo-first-order kinetic model	qe(mg/g)	0.248	0.467
		k1 (min–1)	0.001	0.004
		R2	0.868	0.874
	pseudo-second-order kinetic model	qe(mg/g)	1.562	1.523
		k2(g/mg·min)	0.042	0.015
		R2	1.000	0.998
	Elovich model	α (mg/g/min)	140.303	1.345
		β (g/mg)	12.361	4.789
		R2	0.954	0.868
	intra-particle diffusion	ki(mg/g·min0.5)	0.009	0.024
		Ci(mg/g)	1.283	0.856
		R2	0.844	0.756
nonlinear	pseudo-first-order kinetic model	qe(mg/g)	0.268	0.504
		k1 (min–1)	0.002	0.006
		R2	0.859	0.885
		Radj2	0.841	0.870
		RMSE	0.186	0.160
	pseudo-second-order kinetic model	qe(mg/g)	1.562	1.534
		k2(g/mg·min)	0.042	0.014
		R2	0.999	0.998
		Radj2	0.999	0.997
		RMSE	0.015	0.062
	Elovich model	α (mg/g/min)	142.599	1.232
		β (g/mg)	11.310	4.382
		R2	0.952	0.872
		Radj2	0.946	0.856
		RMSE	0.109	0.168
	intra-particle diffusion	ki(mg/g·min0.5)	0.008	0.022
		Ci(mg/g)	1.174	0.783
		R2	0.846	0.759
		Radj2	0.826	0.729
		RMSE	0.336	0.321