Mathematical modeling on non-dispersive extraction of germanium from aqueous solutions using Aliquat 336

摘要： In this work, the mathematical modeling of the facilitated transport of germanium (non-dispersive extraction) through a flat sheet membrane with an Aliquat 336 carrier was described. The flat sheet supported liquid membrane (FSSLM) experiments were performed under the condition being Ge ≈ 100 mg/L, the tartaric acid concentration of 2.76 mmol/L, and carrier concentrations of 2.5 to 10%v/v. The extraction equilibrium, mass transfer and diffusion equations based on Fick’s law were used. Modeling was carried out by programming in Matlab mathematical software to obtain the extraction (Kex) and mass transfer constants (Km) as the objective parameters. According to the model resolution, Kex and Km were found to be 0.178 and 9.25 × 10?2 cm/s, respectively. The correlation coefficients between model and experimental data relating to the Aliquat 336 concentrations of 2.5, 5, 7.5, and 10%v/v were found as 0.96, 0.98, 0.99, and 0.92. The parameters of root mean square (RMSE), bias, and scatter index (SI) showed the model accuracy. In addition, diffusion coefficients (Dm) relating to Aliquat 336 concentrations of 2.5, 5, 7.5, and 10%v/v were calculated using mass transfer coefficients to be 2.4 × 10??, 2.23 × 10??, 1.91 × 10??, and 1.79 × 10?? cm2/s, respectively.