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Figure 8a and b demonstrates the comparison of kinetic models for phenol and cyanide removal, respectively.

Open image in new window Fig. 7 a Comparison of binary component isotherm models for phenol, b comparison of binary component isotherm models for cyanide.

The kinetic study results revealed that Fractal-like mixed first second order model and Brouser Weron Sototlongo models for phenol and cyanide were capable to offer accurate explanation of biosorption kinetic.

The error values MPSD for Fractal-like mixed first, second order model and Brouser Weron Sototlongo kinetic model was better than that other kinetic models for phenol and cyanide.

Among different kinetic models used in this study, Brouser Weron Sototlongo kinetic model as well as Fractal-like mixed first second order kinetic models for phenol and cyanide found appropriate to calculate the adsorption kinetic onto CSAC.

From the table and figure, the best fitted isotherm models for phenol are evaluated in the order: (Freundlich > Redlich-Peterson > Fritz-Schlunder > Toth > Langmuir), and best fitted isotherm models for cyanide adsorption onto CSAC are in the order: (Toth > Fritz-Schlunder > Redlich-Peterson > Freundlich > Langmuir).

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(XLS 36 KB) 13321_2012_461_MOESM4_ESM.xls Additional file 4: Table S2: The parameters of all the QSPR models for phenols.

(XLS 46 KB) 13321_2012_461_MOESM5_ESM.xls Additional file 5: Table S6: The table containing charge descriptors for all charge calculation approaches and predicted p K a values for all QSPR models (for phenols).

The 4d QSPR models used similar descriptors as the 3d models for phenols - the atomic charge of the hydrogen atom from the COOH group (q H ), the charge on the hydrogen bound oxygen atom from the COOH group (q O ), and the charge on the carbon atom binding the COOH group (qC1).

Open image in new window Fig. 13 Pseudo-first-order adsorption kinetic model for phenol adsorption with OPA Open image in new window Fig. 14 Pseudo-second-order adsorption kinetic model for phenol adsorption with OPA.

By inspecting the relationship between the rate constants (k) and influencing factors, respectively, an overall kinetic model for phenol oxidation was proposed.

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