The application of Rumex abyssinicus based activated carbon for Brilliant Blue Reactive dye adsorption from aqueous solution

Table 10 Kinetics models for adsorption of BBR dye onto RAAC

Kinetics models	Linear constants	Non-linear constants
PFO	R² = 0.98 K₁ = 0.0267 min⁻¹ Qe, calculated = 11.53 mg/g Residual sum of squares = 0.00232	R² = 0.90 K₁ = 0.01 min⁻¹ Qe, calculated = 29.78 mg/g Reduced chi-square = 0.025
PSO	R² = 0.99 K₂ = 0.005 g/mg min Qe, calculated = 33.22 mg/g Residual sum of squares = 7.6 × 10^–4	R² = 0.99 K₂ = 0.006 g/mg min Qe, calculated = 33.18 mg/g Reduced chi-square = 0.0004
IPD	R² = 0.98 K_d = 1.34 mg/g.min^0.5 C = 20.07 mg/g Residual sum of squares = 0.176	R² = 0.98 K_d = 1.34 mg/g.min^0.5 C = 20.06 mg/g Reduced chi-square = 0.059
Elovich	R² = 0.94 α = 0.25 β = 129.19 Residual sum of squares = 0.1006	R² = 0.99 α = 0.25 β = 127.92 Reduced chi-square = 0.033

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