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. 2021 Mar 25;6(13):8870–8883. doi: 10.1021/acsomega.0c06029

Table 3. Kinetic Parameters Calculated from Pseudo-First-Order and Pseudo-Second-Order Kinetic Models and the Intraparticle Diffusion Model.

  C0 (mg L–1)
parameters 10 20 30 40 50
pseudo-first-order          
k1 (min–1) 0.0315 0.0119 0.0106 0.0097 0.0156
qe (mg g–1, cal) 26.73 44.28 69.27 99.46 119.99
R2 0.9785 0.9865 0.9875 0.9793 0.9778
ARE (%) 3.3615 6.0051 7.2607 10.9873 11.4154
pseudo-second-order          
k2 (g mg–1 min–1) 2.00 × 10–3 3.50 × 10–4 2.15 × 10–4 1.34 × 10–4 1.74 × 10–4
qe (mg g–1, cal) 28.12 48.39 75.15 108.50 130.64
R2 0.9930 0.9839 0.9959 0.9933 0.9925
ARE (%) 1.9533 7.8465 4.1475 5.5008 6.7315
intraparticle diffusion          
kid (mg g–1 min–1/2) 0.155 0.393 0.599 1.173 1.417
intercept (mg g–1) 21.720 30.264 48.829 63.468 81.657
R2 0.448 0.803 0.529 0.726 0.676
qe (mg g–1, exp) 28.24 ± 0.57 48.05 ± 1.38 73.26 ± 1.54 108.80 ± 3.01 134.36 ± 7.19
removal efficiency (%) 56% 48% 49% 54% 54%