Table 3.

Kinetics constants for the adsorption of dyes by ZPBIF-1 (Contact time = 20 min, Tem = 25–65 °C, Adsorbent mass = 0. 08 g/L, Initial concertation 50 and 250 mg/L, Stirring = 400 rpm and pH = 2).

	Acid Red 88		Basic Violet 14		Basic blue 54		Congo red
Pseudo-first-order model
C0 (mg/L)	50	250	50	250	50	250	50	250
qe,exp(mg/g)	61.87	307.55	62.18	310.30	59.37	281.25	62.41	311.87
qe,cal (mg/g)	55.63	370.59	53.57	183.71	61.90	252.29	59.24	270.20
K1/(min)	0.1376	0.3894	0.1704	0.6632	0.3614	0.2998	0.4054	0.5918
R2	0.9333	0.9732	0.9160	0.9304	0.9983	0.9845	0.9981	0.9930
First-order model
C0	64.80	185.04	61.75	107.66	34.80	183.60	36.88	102.53
K1	0.2066	0.2208	0.2384	0.2548	0.1554	0.1185	0.3401	0.3329
R2	0.8630	0.9301	0.888	0.7745	0.8722	0.8470	0.9774	0.8386
Pseudo-second-order model
qe,cal (mg/g)	59.88	312.5	60.97	312.5	58.82	277.77	62.50	312.5
K2 (g/min mg)	0.0228	0.0256	0.0389	0	0.0741	0.0648	0.3657	1.024
R2	0.9798	0.9994	0.9926	1	0.9979	0.9999	1	1
Second-order model
C0	2.94	89.28	1.44	10.39	28.01	142.85	0.42	28.32
K2	0.0806	0.0138	0.1575	0.029	0.0199	0.0018	0.7185	0.1314
R2	0.5178	0.8610	0.5106	0.7872	0.9682	0.9310	0.7514	0.9737
Intra-particle diffusion model
Kp (g/min.mg)	7.6325	10.3320	4.6708	0.0381	1.4859	6.9672	0.6844	0.3658
C (mg/g)	26.29	263.53	40.30	310.13	52.95	250.35	59.45	310.42
R2	0.8209	0.7934	0.7896	0.9977	0.8812	0.9930	0.8846	0.8637
Elovich constants
R2	0.7865	0.8273	0.7554	0.9916	0.9063	0.9984	0.9094	0.892
α (mg/g min)	50.6321840032	5,454,780.13 12,788	508.2847556925	∞	169,642,386.81368	1,169,223,763.5818	3.06752219E + 190	1.36661039E + 191
ß (g/mg)	0.070	0.050	0.115	13.90	0.350	0.075	0.761	1.421

The raw data for this table is provided in the Supplementary file 2.