Use of RSM for the multivariate, simultaneous multiobjective optimization of the operating conditions of aliphatic carboxylic acids ion-exclusion chromatography column: Quantitative study of hydrodynamic, isotherm, and thermodynamic behavior.

The present study evaluates the capability of ion exclusion chromatography (IEC) of short chain aliphatic carboxylic acids using a cation exchange column (8% sulfonated cross-linked styrene-divinylbenzene copolymer) in different experimental conditions. Since one of the prerequisites to the development of an efficient carboxylic acid separation process is to obtain the optimum operational conditions, response surface methodology (RSM) was used to develop an approach to evaluate carboxylic acids separation process in IEC columns. The effect of the operating conditions such as column temperature, sulfuric acid concentration as the mobile phase, and the flow rate was studied using Central Composite Face (CCF) design. The optimum operating conditions for the separate injection of lactic acid and acetic acid is temperature of 75 °C, sulfuric acid concentration of 0.003 N for both acids and flow rate of 0.916 (0.886) mL/min for acetic acid (lactic acid). Likewise, the optimum conditions for the simultaneous injection of acetic and lactic acid mixture are the column temperature of 68 °C, sulfuric acid concentration of 0.0003 N, and flow rate of 0.777 mL/min. In the next step, the adsorption equilibria of acetic acid and lactic acid on the stationary phase were investigated through a series of Frontal Analysis (FA), Frontal Analysis by Characteristic Points (FACP), and using Langmuir isotherm model. The results showed an excellent agreement between the model and experimental data. Finally, the results of thermodynamic studies proved that the IEC process for separation of acetic and lactic acid is a spontaneous, feasible, exothermic, and random process with a physical adsorption mechanism. The results of the current paper can be a valuable information in the stages of designing IEC columns for separation of aliphatic carboxylic acids.

PES mixed matrix nanofiltration membrane embedded with polymer wrapped MWCNT: Fabrication and performance optimization in dye removal by RSM.

MWCNTs were wrapped by poly(sodium 4-styrenesulfonate) (PSS), and different amounts of raw and polymer wrapped MWCNTs were implemented to fabricate PES mixed matrix membranes by phase inversion method. Success of wrapping was probed by FTIR spectroscopy, and prepared membranes were characterized by SEM, AFM, porosity, and water contact angle measurements. Response surface methodology (RSM) was employed to optimize the permeate flux and dye removal efficiency of membranes with three variables of concentration, pH of dye solution, and membrane composition. A response surface (RS) with a D-optimal design was defined to build the mathematical model, minimize the number of experiments, and investigate the effect of parameters on the response. Adequacy of the obtained model was confirmed by means of variance analysis and additional experiments. Based on observed and predicted results, wrapping CNTs by PSS improved permeation flux and dye removal efficiency of MMMs. Validity of model was verified according to the good agreement between predicted and experimental results. Membrane mixed with 0.1 wt.% polymer wrapped MWCNTs offered the highest permeation flux as well as dye removal efficiency. According to the model response, in order to achieve a higher dye removal, an acidic pH and a moderate dye solution concentration are recommended. Additionally, basic solution pH (9.0) and a dilute dye solution are suggested to reach a higher permeation flux.