Table 1.

Adsorption isotherms constants for the adsorption of ATP and EY on NH₂-MIL-101 adsorbent

Model	Pollutant	ATP		EY dye
	Adsorbent	MIL-101(Fe)	NH2-MIL-101(Fe)	MIL-101(Fe)	NH2-MIL-101 (Fe)
Freundlich	${\mathrm{K}}_{\mathrm{f}}(\mathrm{L}.{\mathrm{mg}}^{-1})$	12.73813	17.28951	2.90432	15.677
	1/$\mathrm{n}$	0.4968	0.4944	0.7192	0.8318
	${\mathrm{R}}^2$	0.8701	0.8916	0.9795	0.9956
Langmuir	${\mathrm{K}}_{\mathrm{L}}(\mathrm{L}.{\mathrm{mg}}^{-1})$	0.231378	0.28902	0.03053	0.07857
	${\mathrm{q}}_{\mathrm{m}}(\mathrm{mg}.{\mathrm{g}}^{-1})$	68.49315068	100	72.4638	227.273
	${\mathrm{R}}^2$	0.9812	0.93622	0.9795	0.9999
	${\mathrm{Q}}_{\max }(\mathrm{mg}.{\mathrm{g}}^{-1})$	37.60	12.924	37.50	13.00
D R	${\mathrm{K}}_{\mathrm{d}}({\mathrm{mol}}^2.{\mathrm{kJ}}^{-2})$	2.026E-7	3.31801E-8	3.40882E-6	5.73259E-8
	$\mathrm{E}(\mathrm{KJ}.{\mathrm{mol}}^{-1})$	1.570	3.881	0.382	2.953
	${\mathrm{R}}^2$	0.86235	0.63401	0.62591	0.79889
Redlich-Peterson	$\mathrm{A}(\mathrm{L}.{\mathrm{g}}^{-1})$	12.7377	12.30	2.9042	15.6766
	$\mathrm{\beta }$	0.50316	0.50604	0.28075	0.16818
	${\mathrm{R}}^2$	0.87289	0.89618	0.87908	0.90269
	${\mathrm{A}}_{\mathrm{t}}(\mathrm{L}.{\mathrm{g}}^{-1})$	1.0759	1.1323	1.2000	1.3878
Temkin	${\mathrm{b}}_{\mathrm{t}}(\mathrm{J}.{\mathrm{mol}}^{-1})$	215.1417	198.3263	129.6160	74.2348
	$\mathrm{B}(\mathrm{J}.{\mathrm{mol}}^{-1})$	11.5160	12.4924	19.1147	33.3748
	${\mathrm{R}}^2$	0.89136	0.91393	0.88805	0.87822