ABSTRACT The aim of present study is to model and optimize gallic acid (GA) reactive extraction from aqueous solution with trioctylamine (TOA) dissolved in the biocompatible mixture of oleyl alcohol, a modifier and dodecane, an inert diluent using a statistical modeling approach, response surface methodology (RSM) with rotatable central composite design, and artificial neural network (ANN). The optimal values of input parameters for maximum extraction (86%) of GA are found as follows: (i) initial GA concentration ( = 0.387 mol/L); (ii) temperature, T = 26.5°C; (iii) initial TOA concentration ( = 0.049 mol/L); (iv) modifier volume, V = 70% at 101.325 kPa pressure. Predicted responses in terms of extraction degree using RSM and ANN are found to be very close to experimental values. The overall apparent equilibrium constants (K E = 37.24 and 22.38) and stoichiometry of reaction between acid and extractant (m =1.25 and 1.16) are determined considering negligible and 50% physical extraction, respectively. Individual equilibrium constants ( and ) for 1:1 and 2:1 GA:TOA complexes and their concentrations, C11 and C21, respectively, are calculated. Differential evolution approach, a bio-inspired algorithm, is used to investigate the insights of extraction mechanism at the optimum conditions.
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