Response surface modeling of Pb(II) removal from aqueous solution by Pistacia vera L.: Box–Behnken experimental design

A three factor, three-level Box–Behnken experimental design combining with response surface modeling (RSM) and quadratic programming (QP) was employed for maximizing Pb(II) removal from aqueous solution by Antep pistachio ( Pistacia vera L.) shells based on 17 different experimental data obtained in...

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Bibliographic Details
Published in:Journal of hazardous materials Vol. 171; no. 1; pp. 551 - 562
Main Authors: Yetilmezsoy, Kaan, Demirel, Sevgi, Vanderbei, Robert J.
Format: Journal Article
Language:English
Published: Kidlington Elsevier B.V 15.11.2009
Elsevier
Subjects:
Adsorption
Algorithms
Analysis of Variance
Antep pistachio shells
Applications of mathematics to chemical engineering. Modeling. Simulation. Optimization
Applied sciences
Biodegradation, Environmental
Box–Behnken experimental design
Chemical engineering
Exact sciences and technology
Hydrogen-Ion Concentration
Independent variables
Industrial Waste
Lead - analysis
Lead - isolation & purification
Mathematical analysis
Mathematical models
Models, Statistical
Optimization
Pb(II) removal
Pistacia
Pistacia - metabolism
Pollution
Quadratic programming
Regression
Regression Analysis
Response surface modeling
Response surfaces
Time Factors
Waste Disposal, Fluid - methods
Water - chemistry
Water Pollutants, Chemical - analysis
Water Pollutants, Chemical - isolation & purification
Water Purification - methods
Response surface modeling
Adsorption
Antep pistachio shells
Box–Behnken experimental design
Pb(II) removal
Second order
Quadratic programming
Algorithm
Modeling
Optimization
Operating conditions
Batchwise
Chemical oxygen demand
Regression model
Experimental design
Water quality
Lead
pH
Aqueous solution
Box-Behnken experimental design
Polynomial regression
Mathematical programming
ISSN:0304-3894, 1873-3336, 1873-3336
Online Access:Get full text
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Summary:A three factor, three-level Box–Behnken experimental design combining with response surface modeling (RSM) and quadratic programming (QP) was employed for maximizing Pb(II) removal from aqueous solution by Antep pistachio ( Pistacia vera L.) shells based on 17 different experimental data obtained in a lab-scale batch study. Three independent variables (initial pH of solution (pH 0) ranging from 2.0 to 5.5, initial concentration of Pb(II) ions ( C 0) ranging from 5 to 50 ppm, and contact time ( t C) ranging from 5 to 120 min) were consecutively coded as x 1, x 2 and x 3 at three levels (−1, 0 and 1), and a second-order polynomial regression equation was then derived to predict responses. The significance of independent variables and their interactions were tested by means of the analysis of variance (ANOVA) with 95% confidence limits ( α = 0.05). The standardized effects of the independent variables and their interactions on the dependent variable were also investigated by preparing a Pareto chart. The optimum values of the selected variables were obtained by solving the quadratic regression model, as well as by analysing the response surface contour plots. The optimum coded values of three test variables were computed as x 1 = 0.125, x 2 = 0.707, and x 3 = 0.107 by using a LOQO/AMPL optimization algorithm. The experimental conditions at this global point were determined to be pH 0 = 3.97, C 0 = 43.4 ppm, and t C = 68.7 min, and the corresponding Pb(II) removal efficiency was found to be about 100%.
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ISSN:0304-3894
1873-3336
1873-3336
DOI:10.1016/j.jhazmat.2009.06.035