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. 2022 Nov 8;8(11):e11456. doi: 10.1016/j.heliyon.2022.e11456

Table 5.

Adsorption kinetics for adsorption of Cu (II) onto the two floating plant species.

Model Adsorbent Sorbent
Parameter
Cu(II) Concentration (mg/L) qe,exp (mg g−1) qe,cal (mg g−1) k1 (day−1) R2
(a) Pseudo-first-order Azolla filiculoides 0.25 0.2297 0.5049 −0.1299 0.3309
0.5 0.8912 0.9480 −0.0101 0.3309
0.75 1.1676 0.4305 −0.1292 0.1161
1 1.6819 0.2202 −0.1654 0.0675
Lemna minor 0.25 0.2494 0.2121 −0.2639 0.4903
0.5 1.4020 0.6001 0.0226 0.0073
0.75 2.4328 1.2900 0.0523 0.1014
1 4.0473 3.8353 0.4470 0.7581
(b) Model Adsorbent Sorbent Parameter
Cu(II) Concentration (mg/L) qe,exp (mg g−1) qe,cal (mg g−1) k2 (g mg−1 day) R2
Pseudo-second-order Azolla filiculoides 0.25 0.230 0.2297 3.7894 × 1015 1
0.5 0.891 0.819 - 1
0.75 1.168 1.1733 27.6204 0.9999
1 1.682 1.6969 9.9506 0.9996
Lemna minor 0.25 0.249 0.2879 14.0513 0.9648
0.5 1.402 1.0385 −5.3286 0.9209
0.75 2.432 1.5201 −2.5817 0.8822
1 4.047 4.6577 0.1259 0.8191
(c) Model Adsorbent Sorbent Parameter
Cu(II) Concentration (mg/L) ki (mg g−1 min−1) I (mg g−1) R2
Intra-particle diffusion Azolla filiculoides 0.25 0.077 0.0714 0.6114
0.5 0.2987 0.2771 0.6114
0.75 0.4006 0.3319 0.6619
1 0.5856 0.4462 0.696
Lemna minor 0.25 0.0843 0.0314 0.8137
0.5 0.3823 0.2732 0.5774
0.75 0.6189 0.4506 0.5302
1 1.6135 −0.0762 0.9455