Details of kinetic parameter and coefficient of determination for various kinetic models for the adsorption of RB onto MNP-PANI-DICAT.

Kinetic models	Parameters	Materials
		MNP	MNP-PANI	MNP-PANI-DICAT
	q e,exp (mg g−1)	1.0798	2.4416	4.8116
Pseudo-first-order	q e,cal (mg g−1)	0.1532	0.0720	0.1622
	k 1 (min−1)	0.0085	−0.0058	−0.0023
	R 2	0.2415	0.0867	0.0058
	Δq (%)	32.4340	36.6820	36.5220
	Relative error (%)	85.8120	97.0530	96.6290
Pseudo-second-order	q e, cal (mg g−1)	1.0267	2.4414	4.8379
	k 2 (g mg−1 min−1)	3.4149	0.4047	0.4172
	h (mg g−1 min−1)	3.5597	2.4119	9.7656
	t 1/2 (min)	3.3261	0.1658	0.0862
	R 2	0.9992	0.9998	1.0000
	Δq (%)	1.8580	0.0023	0.2066
	Relative error (%)	4.9158	0.0061	0.5466
Elovich equation	q e cal (mg g−1)	1.0215	2.3818	4.7726
	β (g mg−1)	909.0910	20.2840	16.6945
	α (mg g−1 min−1)	—	7.8713 × 1017	3.9980 × 1031
	R 2	0.0190	0.9016	0.7433
	Δq (%)	2.0400	0.9242	0.3064
	Relative error (%)	5.3974	2.4452	0.8105
Intra-particle diffusion	C (mg g−1)	1.0185	2.2497	4.6093
	K (mg g−1 min−1)	0.0004	0.0153	0.0189
	R 2	0.0019	0.8418	0.7232
External diffusion	k ext (1/min)	7.0 × 10−6	0.0003	0.0064
	C (mg g−1)	−0.2185	−0.6225	−2.9960
	R 2	0.0026	0.7219	0.6448