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c) Randomly selecting a fluorophore in the model for removal (Op_c). .
3B either adds a new fluorophore at a random position or selects a fluorophore in the model for removal.
Open image in new window Figure 5 Pseudo-second-order kinetic model for removal of lead ions by MWCNTs (a) and MWCNT-COOH surfaces (b).
The results showed a good fit with the proposed statistical model for removal of o-cresol (R2 = 0.9387) for biosorption and (R2 = 0.9980) for biosorptive foam separation.
In order to develop an effective and accurate design model for removal of dye, adsorption kinetics and equilibrium data are essential basic requirements.
The plot is shown in Figures 4,5,6 and 7. Open image in new window Figure 4 Pseudo-second-order kinetic model for removal of lead ions by MWCNTs (a) and MWCNT-COOH surfaces (b).
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Open image in new window Fig. 3 Generalization of best-fitted surfaces predicted with ANFIS models for removal Open image in new window Fig. 4 Generalization of best-fitted surfaces predicted with ANFIS models for q t.
Open image in new window Fig. 6 Kinetic models for removal of Pb II) by HA a, first-order and second-order model b intraparticle diffusion model Table 3 Adsorption kinetic model rate constants for Pb II) removal qe (Exp) (mg/g) Pseudo first-order Pseudo second-order qe (cal) (mg/g) k1 (min−1) R 2 qe (cal) (mg/g) k2 (g/mg/min) R 2 7.07 9.77 0.0513 0.9898 9.01 7.86 × 10−3 0.9910−3
Open image in new window Fig. 11 Pseudo-second-order kinetics for adsorption Congo red dye on the surface of Fe3O4/PVP (1 g) at pH 6 Table 3 Comparison of pseudo-first-order and pseudo-second-order kinetic models for removal Congo red by Fe3O4/PVP (1 g) in different experimental conditions Dye conc; C0 (ppm) Pseudo-first-order kinetics Pseudo-second-order kinetics qe (exp).
The intraparticle diffusion model as fitted with the experimental data is presented in the plot of q t versus t1/2 depicted in Figure 8a,b, and the values of ki and correlation coefficients are given in Tables 6 and 7. Open image in new window Figure 8 Intraparticle diffusion model kinetics for removal of lead by (a) MWCNT surfaces and (b) MWCNT-COOH surfaces.
Stepwise removal and addition of variables were used to determine the final multivariable model (p for removal 0.1 and p for re-entry 0.05).
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