Adsorption of Rare Earth Ce³⁺ and Pr³⁺ Ions by Hydrophobic Ionic Liquid

Table 3

Kinetic constants of Pr (III) ions adsorption by IL at various preliminary Pr (III) ion concentrations and temperature (dose- 0.5 mg g⁻¹).

Kinetic model	Parameters	303 K		313 K		323 K
		10 (mg L^−1)	30 (mg L^−1)	10 (mg L^−1)	30 (mg L^−1)	10 (mg L^−1)	30 (mg L^−1)
Exploratory	qe (mg g^−1)	47.1	107.7	46.7	106.6	46.1	106.1
Pseudo-first-order	k1 (min^−1)	0.027	0.117	0.025	0.113	0.022	0.109
	qe (mg g^−1)	11.6	21.3	11.2	20.6	10.7	19.8
	R^2	0.911	0.903	0.908	0.897	0.898	0.889
Pseudo-second-order	k2 (g mg^−1 min^−1)	0.016	0.011	0.017	0.013	0.019	0.015
	qe (mg g^−1)	46.3	106.9	45.7	106.5	44.8	105.8
	R^2	0.999	0.998	0.999	0.999	0.999	0.999
Elovich	α (mg g^−1 min^−1)	1.9 × 10^−26	2.1 × 10^−26	2.3 × 10^−26	2.2 × 10^−26	2.5 × 10^−26	2.7 × 10^−26
	β (mg g^−1)	1.06	1.24	1.13	1.28	1.20	1.37
	R^2	0.802	0.821	0.843	0.818	0.876	0.813