Nanoscale Research Letters

Table 4 Adsorption rate constants and parameters of Cu (II) ion adsorption from the pseudo-first-order and pseudo-second-order kinetic models

From: Adsorptive Removal of Copper (II) Ions from Aqueous Solution Using a Magnetite Nano-Adsorbent from Mill Scale Waste: Synthesis, Characterization, Adsorption and Kinetic Modelling Studies

Kinetic isotherm	Parameter	Initial concentration (mg/L)
Kinetic isotherm	Parameter	10	20	30	40	50
Pseudo-first-order	k₁(min⁻¹)	0.1108	0.0233	0.0728	0.0534	0.0290
	q_{e, calc} (mg/g)	0.488	0.560	2.355	2.333	3.090
	q_{e, exp} (mg/g)	0.480	0.582	1.216	2.276	4.408
	R²	0.930	0.991	0.967	0.976	0.872
Pseudo-second-order	k₂(min.mg/g)	0.0072	0.0514	0.0060	0.0327	0.0214
	q_{e, calc} (mg/g)	0.8667	0.6732	1.8268	2.4297	4.6350
	q_{e, exp} (mg/g)	0.480	0.582	1.216	2.276	4.408
	R²	0.740	0.984	0.680	0.995	0.999

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