Advances in Polymer Technology

Research Article

Oxidized Renewable Materials for the Removal of Cobalt(II) and Copper(II) from Aqueous Solution Using in Batch and Fixed-Bed Column Adsorption

Table 2

Results of modeling the experimental kinetic data for the adsorption of Cu²⁺ and Co²⁺on Cox and SBox (25°C, 150 rpm, pH 5.5, 0.79 mmol/L Cu²⁺, 0.85 mmol/L Co²⁺, 0.2 g/L Cox or SBox).


Parameter	Cox-Cu²⁺	Cox-Co²⁺	SBox-Cu²⁺	SBox-Co²⁺

	1.16 ± 0.02	0.70 ± 0.01	0.56 ± 0.01	0.41 ± 0.02
	73.53 ± 1.58	41.18 ± 0.41	35.30 ± 0.52	23.87 ± 1.17
	120	120	45	180
Model	Pseudo-first-order (PFO)
	1.12 ± 0.04	0.71 ± 0.01	0.54 ± 0.01	0.41 ± 0.01
	71.08 ± 2.28	41.88 ± 0.58	34.33 ± 0.63	24.25 ± 0.34
	0.088 ± 0.010	0.028 ± 0.001	0.664 ± 0.064	0.020 ± 0.001
	0.952	0.994	0.930	0.989
	0.947	0.993	0.923	0.988
	0.008	8.44×10⁻⁴	0.002	4.14×10⁻⁴
Model	Pseudo-second-order (PSO)
	1.19 ± 0.02	0.80 ± 0.04	0.56 ± 0.00	0.47 ± 0.01
	75.42 ± 1.50	47.11 ± 2.12	35.37 ± 0.27	27.41 ± 0.65
	0.109 ± 0.011	0.042 ± 0.008	1.865 ± 0.110	0.055 ± 0.006
	0.984	0.955	0.988	0.981
	0.983	0.950	0.987	0.979
	0.003	0.006	2.87 × 10⁻⁴	7.42 × 10⁻⁴
Model	Intraparticle diffusion (IPD)
1^st step
(mmol/g min^1/2)	0.171 ± 0.001	0.114 ± 0.011	0.291 ± 0.000	0.036 ± 0.004
(mmol/g)	0.061 ± 0.003	−0.210 ± 0.050	−0.015 ± 0.000	−0.006 ± 0.023
	0.999	0.991	1.000	0.980
	0.999	0.981	—	0.969
2^nd step
(mmol/g min^1/2)	0.077 ± 0.007	0.040±	0.033 ± 0.000	0.019 ± 0.004
(mmol/g)	0.512 ± 0.036	0.296±	0.385 ± 0.00	0.153 ± 0.035
	0.985	0.983	1.000	0.967
	0.977	0.966	—	0.934
Model	Boyd
	0.035 ± 0.003	0.031 ± 0.002	0.135 ± 0.034	0.016 ± 0.000
Intercept	0.030 ± 0.057	−0.403 ± 0.116	0.380 ± 0.193	−0.213 ± 0.060
D_i (m²/min)	2.19 × 10⁻¹⁰	1.98 × 10⁻¹⁰	8.55 × 10⁻¹⁰	9.98 × 10⁻¹¹
R ²	0.974	0.983	0.888	0.986
R ²_adj	0.969	0.978	0.832	0.983