An Empirical Model of Electro-Fenton Process for SDS Surfactant Removal from Synthetic Acidic Wastewater Ghanim A.N. Chemical Eng. Dep. / Eng. College/ Babylon University
An Empirical Model of Electro-Fenton Process for
SDS Surfactant Removal from Synthetic Acidic Wastewater
Ghanim ANChemical Eng Dep Eng College Babylon
University
Introduction Surfactants are diversified chemicals that are
intended to have cleaning or solubilization properties They consisted mainly of three types anionic nonionic and cationic High applications of the surfactant increasing its discharge in the wastewater and enter into the water resources Thus the water treatment process is necessary in order to remove surfactants from domestic and industrial wastes to reduce its concentration undergroundSodium dodecyl sulfate (SDS) is classical emulsifier mainly used as anionic surfactant widely blended in household and industrial detergent it consist of a water-soluble (hydophilic) and a water-insoluble (hydrophobic) component
IntroductionAdvance oxidation processes (AOPs) based on classic Fenton processes are usually developed Fenton process using zero valence iron Fentonrsquos reagent a homogeneous catalytic system comprising hydrogen peroxide and a ferrous salt leads to the formation of OHbull and other reactive free radicals which are capable of oxidizing many organic pollutants and converting them to lower molecular weight compounds
and eventually to carbon dioxide and water In electro-Fenton process either H2O2 or ferrous ion is continuously generated or regenerated on the electrode and their accumulative concentrations in aqueous solution depend on a competition between their generation rate and consumption rate aqueous organic pollutants
IntroductionAdvanced Electrochemical Oxidation Processes (AEOPs)The sacrificial Fe anode which is electrodissolved supplying stoichiometric amounts of Fe2+ to the effluent The oxidation of a sacrificial Fe anodeFe rarr Fe2+ + 2 emacr (1)The electro-Fenton process is carried out with a conventional anode and the oxidation power of electrogenerated H2O2 is enhanced by addition of Fe2+ to the solution because hydroxyl radical OH is formed from the classical Fentonrsquos reaction between Fe2+ and H2O2 Fe2+ + H2O2 + H+ rarr Fe3+ + OH + H2O (2)RH + OH rarr R + H2O (3)The catalytic reaction (2) indicating the need for an acid environ-ment to produce the maximum amount of hydroxyl radicals
Materials and Method
Materials and MethodDOERSM was used for determining the amounts of SDS removal as a function of hydrogen peroxide concentrations current density and the initial pH of wastewater
Generalized (multiple regression polynomial) equation
β0 the constant coefficientthree first-order effects (terms in PE CD and pH)three interaction effects (terms in PECD PEpH and pHCD)three second-order effects (PE2 CD2 and pH2)
Materials and MethodBox-Behnken design as an experimental design of RSM was used to create a set of designed experiments by Design-Expert software
(version 703) A series of 17 experiments were designed of reliable measurement for SDS removal response with design of unblocked and 5 replicate
Results and DiscussionEffect of Fe2+ RegenerationIn AOPs the rapid depletion of Fe2+ usually terminates the production of hydroxyl radicalsthe rate constant of Fe2+ reaction with OH 32 times108 M-1 s-1 is approximately 10 times that of H2O2 reaction with OH 33 times107 M-1 s-1
H2O2 + OH rarr H2O + HObull2
Fe3+ + HObull2 rarr Fe2+ + H+ + O2
In AEOPs there is continuous generation of Fe2+ provided from sacrificial iron anodes that leads the generation of a powerful oxidant the hydroxyl radical (OH) which can react with most organic pollutants and then degrade them
Results and DiscussionModel Prediction and Development
SDS Removal = ndash 697862+ 6925PE + 69625pH + 16250CD ndash 6875PECD + 0237PEpH ndash 0044PE2 ndash 1166250CD2 ndash
7412pH2
Correlation coefficients R2 = 9962 Adj R2 = 9913 Pred R2 =9451
Where PE peroxide concentration (mgl) CD current density (mAcm2) and pH acidity
Results and Discussion Data Matrix of Box-Behnken Design
Run No Peroxide concentratio
n (mgl)
Current Density
(mAcm2)
Acidity of wastewate
rpH
SDSRemoval
Exp Pred
1 40 05 6 8200 8112
2 50 05 5 9400 9370
3 60 05 6 9050 9112
4 50 05 5 9300 9370
5 50 04 6 7150 7112
6 50 05 5 9400 9366
7 50 05 5 9395 93908 40 04 5 5850
59759 40 06 5 9000
902510 60 05 4 7700
778711 60 06 5 8300
817512 40 05 4 7800
773713 60 04 5 7900
793714 50 04 4 6200
613715 50 05 5 9375 9365
16 50 06 6 8600 8662
17 50 06 4 7900 7875
The predicated values approaches the experimental results
Results and DiscussionANOVA Source Statistical Parameters
Sum of Squares
DF F-value P-valueProbgtF
Model 194546 9 20379 lt 00001
Peroxide Conc (PE) 5512 1 51 97 00002
Current Density(CD)
56112 1 52901 lt 00001
Acidity (pH) 14450 1 13623 lt 00001
PECD 18906 1 17824 lt 00001
PEpH 2256 1 2127 00024
CDpH 156 1 147 02642
PE2 8198 1 7729 lt 00001
CD2 57269 1 53991 lt 00001
pH2 23135 1 21811 lt 00001
Data given in this table demonstrates that the model was significant at the 95 confidence level since p-values were less than 005
Results and DiscussionEffect of PE and CD on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 500
4000 4500
5000 5500
6000
040 045
050 055
060
58
675
77
865
96
SDS
Rem
oval
A PE B CD
Response surface shows elliptical peak started at the midlevel to the high level of current density while along the whole levels of peroxide concentration
Results and DiscussionEffect of PE and CD on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 500
4000 4500 5000 5500 6000
040
045
050
055
060 SDS Rem oval
A PE
B CD
656588715675 774763
833851
892938
892938
5
Results and DiscussionEffect of PE and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = A PEX2 = C PH
Actual FactorB CD = 050
4000 4500
5000 5500
6000
400 450
500 550
600
77
815
86
905
95
SDS
Rem
oval
A PE C PH
For both variables peroxide concen and pH increasing the levels from their midlevel to the high the SDS removal percent increases to clearly sharp peak thereafter it starts to decrease
Results and DiscussionEffect of PE and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = A PEX2 = C PH
Actual FactorB CD = 050
4000 4500 5000 5500 6000
400
450
500
550
600SDS Rem oval
A PE
C PH
803052 803052832353
861655
861655
890956
920258
5
Results and DiscussionEffect of CD and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = B CDX2 = C PH
Actual FactorA PE = 5000
040 045
050 055
060
400 450
500 550
600
61
6975
785
8725
96
SDS
Rem
oval
B CD C PH
The response surface shows a clear peak started at pH of 45 to its high level and current density of midlevel to its high level
Results and DiscussionEffect of CD and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = B CDX2 = C PH
Actual FactorA PE = 5000
040 045 050 055 060
400
450
500
550
600SDS Rem oval
B C D
C PH
671037
728324
785611
842898
900184
900184
5
Results and DiscussionOptimization Analysis
Design-Expertreg Software
SDS Rem oval94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 510
4000 4500 5000 5500 6000
040
045
050
055
060SDS Rem oval
A PE
B CD
650287701564
752841 804118
855395
855395
906672
906672Prediction 917204
Response numerical optimization of Design-Expert software at minimum amount of peroxide addition and within the tested range of current density and acidity
Results and DiscussionOptimization Analysis
Design-Expertreg Software
Desirability1
0
X1 = A PEX2 = B CD
Actual FactorC PH = 510
4000 4500 5000 5500 6000
040
045
050
055
060Desirability
A PE
B CD
0161
0322
0322
0484
0645
0806
Prediction 0967
SDS removal of 9172 was determined at 0967 desirability
The optimum conditions
PE (40 mgl) CD(057 mAcm2) and initial acidity of wastewater (pH=510) depend upon the selected design range assumption
THANK YOU
Introduction Surfactants are diversified chemicals that are
intended to have cleaning or solubilization properties They consisted mainly of three types anionic nonionic and cationic High applications of the surfactant increasing its discharge in the wastewater and enter into the water resources Thus the water treatment process is necessary in order to remove surfactants from domestic and industrial wastes to reduce its concentration undergroundSodium dodecyl sulfate (SDS) is classical emulsifier mainly used as anionic surfactant widely blended in household and industrial detergent it consist of a water-soluble (hydophilic) and a water-insoluble (hydrophobic) component
IntroductionAdvance oxidation processes (AOPs) based on classic Fenton processes are usually developed Fenton process using zero valence iron Fentonrsquos reagent a homogeneous catalytic system comprising hydrogen peroxide and a ferrous salt leads to the formation of OHbull and other reactive free radicals which are capable of oxidizing many organic pollutants and converting them to lower molecular weight compounds
and eventually to carbon dioxide and water In electro-Fenton process either H2O2 or ferrous ion is continuously generated or regenerated on the electrode and their accumulative concentrations in aqueous solution depend on a competition between their generation rate and consumption rate aqueous organic pollutants
IntroductionAdvanced Electrochemical Oxidation Processes (AEOPs)The sacrificial Fe anode which is electrodissolved supplying stoichiometric amounts of Fe2+ to the effluent The oxidation of a sacrificial Fe anodeFe rarr Fe2+ + 2 emacr (1)The electro-Fenton process is carried out with a conventional anode and the oxidation power of electrogenerated H2O2 is enhanced by addition of Fe2+ to the solution because hydroxyl radical OH is formed from the classical Fentonrsquos reaction between Fe2+ and H2O2 Fe2+ + H2O2 + H+ rarr Fe3+ + OH + H2O (2)RH + OH rarr R + H2O (3)The catalytic reaction (2) indicating the need for an acid environ-ment to produce the maximum amount of hydroxyl radicals
Materials and Method
Materials and MethodDOERSM was used for determining the amounts of SDS removal as a function of hydrogen peroxide concentrations current density and the initial pH of wastewater
Generalized (multiple regression polynomial) equation
β0 the constant coefficientthree first-order effects (terms in PE CD and pH)three interaction effects (terms in PECD PEpH and pHCD)three second-order effects (PE2 CD2 and pH2)
Materials and MethodBox-Behnken design as an experimental design of RSM was used to create a set of designed experiments by Design-Expert software
(version 703) A series of 17 experiments were designed of reliable measurement for SDS removal response with design of unblocked and 5 replicate
Results and DiscussionEffect of Fe2+ RegenerationIn AOPs the rapid depletion of Fe2+ usually terminates the production of hydroxyl radicalsthe rate constant of Fe2+ reaction with OH 32 times108 M-1 s-1 is approximately 10 times that of H2O2 reaction with OH 33 times107 M-1 s-1
H2O2 + OH rarr H2O + HObull2
Fe3+ + HObull2 rarr Fe2+ + H+ + O2
In AEOPs there is continuous generation of Fe2+ provided from sacrificial iron anodes that leads the generation of a powerful oxidant the hydroxyl radical (OH) which can react with most organic pollutants and then degrade them
Results and DiscussionModel Prediction and Development
SDS Removal = ndash 697862+ 6925PE + 69625pH + 16250CD ndash 6875PECD + 0237PEpH ndash 0044PE2 ndash 1166250CD2 ndash
7412pH2
Correlation coefficients R2 = 9962 Adj R2 = 9913 Pred R2 =9451
Where PE peroxide concentration (mgl) CD current density (mAcm2) and pH acidity
Results and Discussion Data Matrix of Box-Behnken Design
Run No Peroxide concentratio
n (mgl)
Current Density
(mAcm2)
Acidity of wastewate
rpH
SDSRemoval
Exp Pred
1 40 05 6 8200 8112
2 50 05 5 9400 9370
3 60 05 6 9050 9112
4 50 05 5 9300 9370
5 50 04 6 7150 7112
6 50 05 5 9400 9366
7 50 05 5 9395 93908 40 04 5 5850
59759 40 06 5 9000
902510 60 05 4 7700
778711 60 06 5 8300
817512 40 05 4 7800
773713 60 04 5 7900
793714 50 04 4 6200
613715 50 05 5 9375 9365
16 50 06 6 8600 8662
17 50 06 4 7900 7875
The predicated values approaches the experimental results
Results and DiscussionANOVA Source Statistical Parameters
Sum of Squares
DF F-value P-valueProbgtF
Model 194546 9 20379 lt 00001
Peroxide Conc (PE) 5512 1 51 97 00002
Current Density(CD)
56112 1 52901 lt 00001
Acidity (pH) 14450 1 13623 lt 00001
PECD 18906 1 17824 lt 00001
PEpH 2256 1 2127 00024
CDpH 156 1 147 02642
PE2 8198 1 7729 lt 00001
CD2 57269 1 53991 lt 00001
pH2 23135 1 21811 lt 00001
Data given in this table demonstrates that the model was significant at the 95 confidence level since p-values were less than 005
Results and DiscussionEffect of PE and CD on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 500
4000 4500
5000 5500
6000
040 045
050 055
060
58
675
77
865
96
SDS
Rem
oval
A PE B CD
Response surface shows elliptical peak started at the midlevel to the high level of current density while along the whole levels of peroxide concentration
Results and DiscussionEffect of PE and CD on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 500
4000 4500 5000 5500 6000
040
045
050
055
060 SDS Rem oval
A PE
B CD
656588715675 774763
833851
892938
892938
5
Results and DiscussionEffect of PE and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = A PEX2 = C PH
Actual FactorB CD = 050
4000 4500
5000 5500
6000
400 450
500 550
600
77
815
86
905
95
SDS
Rem
oval
A PE C PH
For both variables peroxide concen and pH increasing the levels from their midlevel to the high the SDS removal percent increases to clearly sharp peak thereafter it starts to decrease
Results and DiscussionEffect of PE and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = A PEX2 = C PH
Actual FactorB CD = 050
4000 4500 5000 5500 6000
400
450
500
550
600SDS Rem oval
A PE
C PH
803052 803052832353
861655
861655
890956
920258
5
Results and DiscussionEffect of CD and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = B CDX2 = C PH
Actual FactorA PE = 5000
040 045
050 055
060
400 450
500 550
600
61
6975
785
8725
96
SDS
Rem
oval
B CD C PH
The response surface shows a clear peak started at pH of 45 to its high level and current density of midlevel to its high level
Results and DiscussionEffect of CD and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = B CDX2 = C PH
Actual FactorA PE = 5000
040 045 050 055 060
400
450
500
550
600SDS Rem oval
B C D
C PH
671037
728324
785611
842898
900184
900184
5
Results and DiscussionOptimization Analysis
Design-Expertreg Software
SDS Rem oval94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 510
4000 4500 5000 5500 6000
040
045
050
055
060SDS Rem oval
A PE
B CD
650287701564
752841 804118
855395
855395
906672
906672Prediction 917204
Response numerical optimization of Design-Expert software at minimum amount of peroxide addition and within the tested range of current density and acidity
Results and DiscussionOptimization Analysis
Design-Expertreg Software
Desirability1
0
X1 = A PEX2 = B CD
Actual FactorC PH = 510
4000 4500 5000 5500 6000
040
045
050
055
060Desirability
A PE
B CD
0161
0322
0322
0484
0645
0806
Prediction 0967
SDS removal of 9172 was determined at 0967 desirability
The optimum conditions
PE (40 mgl) CD(057 mAcm2) and initial acidity of wastewater (pH=510) depend upon the selected design range assumption
THANK YOU
IntroductionAdvance oxidation processes (AOPs) based on classic Fenton processes are usually developed Fenton process using zero valence iron Fentonrsquos reagent a homogeneous catalytic system comprising hydrogen peroxide and a ferrous salt leads to the formation of OHbull and other reactive free radicals which are capable of oxidizing many organic pollutants and converting them to lower molecular weight compounds
and eventually to carbon dioxide and water In electro-Fenton process either H2O2 or ferrous ion is continuously generated or regenerated on the electrode and their accumulative concentrations in aqueous solution depend on a competition between their generation rate and consumption rate aqueous organic pollutants
IntroductionAdvanced Electrochemical Oxidation Processes (AEOPs)The sacrificial Fe anode which is electrodissolved supplying stoichiometric amounts of Fe2+ to the effluent The oxidation of a sacrificial Fe anodeFe rarr Fe2+ + 2 emacr (1)The electro-Fenton process is carried out with a conventional anode and the oxidation power of electrogenerated H2O2 is enhanced by addition of Fe2+ to the solution because hydroxyl radical OH is formed from the classical Fentonrsquos reaction between Fe2+ and H2O2 Fe2+ + H2O2 + H+ rarr Fe3+ + OH + H2O (2)RH + OH rarr R + H2O (3)The catalytic reaction (2) indicating the need for an acid environ-ment to produce the maximum amount of hydroxyl radicals
Materials and Method
Materials and MethodDOERSM was used for determining the amounts of SDS removal as a function of hydrogen peroxide concentrations current density and the initial pH of wastewater
Generalized (multiple regression polynomial) equation
β0 the constant coefficientthree first-order effects (terms in PE CD and pH)three interaction effects (terms in PECD PEpH and pHCD)three second-order effects (PE2 CD2 and pH2)
Materials and MethodBox-Behnken design as an experimental design of RSM was used to create a set of designed experiments by Design-Expert software
(version 703) A series of 17 experiments were designed of reliable measurement for SDS removal response with design of unblocked and 5 replicate
Results and DiscussionEffect of Fe2+ RegenerationIn AOPs the rapid depletion of Fe2+ usually terminates the production of hydroxyl radicalsthe rate constant of Fe2+ reaction with OH 32 times108 M-1 s-1 is approximately 10 times that of H2O2 reaction with OH 33 times107 M-1 s-1
H2O2 + OH rarr H2O + HObull2
Fe3+ + HObull2 rarr Fe2+ + H+ + O2
In AEOPs there is continuous generation of Fe2+ provided from sacrificial iron anodes that leads the generation of a powerful oxidant the hydroxyl radical (OH) which can react with most organic pollutants and then degrade them
Results and DiscussionModel Prediction and Development
SDS Removal = ndash 697862+ 6925PE + 69625pH + 16250CD ndash 6875PECD + 0237PEpH ndash 0044PE2 ndash 1166250CD2 ndash
7412pH2
Correlation coefficients R2 = 9962 Adj R2 = 9913 Pred R2 =9451
Where PE peroxide concentration (mgl) CD current density (mAcm2) and pH acidity
Results and Discussion Data Matrix of Box-Behnken Design
Run No Peroxide concentratio
n (mgl)
Current Density
(mAcm2)
Acidity of wastewate
rpH
SDSRemoval
Exp Pred
1 40 05 6 8200 8112
2 50 05 5 9400 9370
3 60 05 6 9050 9112
4 50 05 5 9300 9370
5 50 04 6 7150 7112
6 50 05 5 9400 9366
7 50 05 5 9395 93908 40 04 5 5850
59759 40 06 5 9000
902510 60 05 4 7700
778711 60 06 5 8300
817512 40 05 4 7800
773713 60 04 5 7900
793714 50 04 4 6200
613715 50 05 5 9375 9365
16 50 06 6 8600 8662
17 50 06 4 7900 7875
The predicated values approaches the experimental results
Results and DiscussionANOVA Source Statistical Parameters
Sum of Squares
DF F-value P-valueProbgtF
Model 194546 9 20379 lt 00001
Peroxide Conc (PE) 5512 1 51 97 00002
Current Density(CD)
56112 1 52901 lt 00001
Acidity (pH) 14450 1 13623 lt 00001
PECD 18906 1 17824 lt 00001
PEpH 2256 1 2127 00024
CDpH 156 1 147 02642
PE2 8198 1 7729 lt 00001
CD2 57269 1 53991 lt 00001
pH2 23135 1 21811 lt 00001
Data given in this table demonstrates that the model was significant at the 95 confidence level since p-values were less than 005
Results and DiscussionEffect of PE and CD on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 500
4000 4500
5000 5500
6000
040 045
050 055
060
58
675
77
865
96
SDS
Rem
oval
A PE B CD
Response surface shows elliptical peak started at the midlevel to the high level of current density while along the whole levels of peroxide concentration
Results and DiscussionEffect of PE and CD on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 500
4000 4500 5000 5500 6000
040
045
050
055
060 SDS Rem oval
A PE
B CD
656588715675 774763
833851
892938
892938
5
Results and DiscussionEffect of PE and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = A PEX2 = C PH
Actual FactorB CD = 050
4000 4500
5000 5500
6000
400 450
500 550
600
77
815
86
905
95
SDS
Rem
oval
A PE C PH
For both variables peroxide concen and pH increasing the levels from their midlevel to the high the SDS removal percent increases to clearly sharp peak thereafter it starts to decrease
Results and DiscussionEffect of PE and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = A PEX2 = C PH
Actual FactorB CD = 050
4000 4500 5000 5500 6000
400
450
500
550
600SDS Rem oval
A PE
C PH
803052 803052832353
861655
861655
890956
920258
5
Results and DiscussionEffect of CD and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = B CDX2 = C PH
Actual FactorA PE = 5000
040 045
050 055
060
400 450
500 550
600
61
6975
785
8725
96
SDS
Rem
oval
B CD C PH
The response surface shows a clear peak started at pH of 45 to its high level and current density of midlevel to its high level
Results and DiscussionEffect of CD and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = B CDX2 = C PH
Actual FactorA PE = 5000
040 045 050 055 060
400
450
500
550
600SDS Rem oval
B C D
C PH
671037
728324
785611
842898
900184
900184
5
Results and DiscussionOptimization Analysis
Design-Expertreg Software
SDS Rem oval94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 510
4000 4500 5000 5500 6000
040
045
050
055
060SDS Rem oval
A PE
B CD
650287701564
752841 804118
855395
855395
906672
906672Prediction 917204
Response numerical optimization of Design-Expert software at minimum amount of peroxide addition and within the tested range of current density and acidity
Results and DiscussionOptimization Analysis
Design-Expertreg Software
Desirability1
0
X1 = A PEX2 = B CD
Actual FactorC PH = 510
4000 4500 5000 5500 6000
040
045
050
055
060Desirability
A PE
B CD
0161
0322
0322
0484
0645
0806
Prediction 0967
SDS removal of 9172 was determined at 0967 desirability
The optimum conditions
PE (40 mgl) CD(057 mAcm2) and initial acidity of wastewater (pH=510) depend upon the selected design range assumption
THANK YOU
IntroductionAdvanced Electrochemical Oxidation Processes (AEOPs)The sacrificial Fe anode which is electrodissolved supplying stoichiometric amounts of Fe2+ to the effluent The oxidation of a sacrificial Fe anodeFe rarr Fe2+ + 2 emacr (1)The electro-Fenton process is carried out with a conventional anode and the oxidation power of electrogenerated H2O2 is enhanced by addition of Fe2+ to the solution because hydroxyl radical OH is formed from the classical Fentonrsquos reaction between Fe2+ and H2O2 Fe2+ + H2O2 + H+ rarr Fe3+ + OH + H2O (2)RH + OH rarr R + H2O (3)The catalytic reaction (2) indicating the need for an acid environ-ment to produce the maximum amount of hydroxyl radicals
Materials and Method
Materials and MethodDOERSM was used for determining the amounts of SDS removal as a function of hydrogen peroxide concentrations current density and the initial pH of wastewater
Generalized (multiple regression polynomial) equation
β0 the constant coefficientthree first-order effects (terms in PE CD and pH)three interaction effects (terms in PECD PEpH and pHCD)three second-order effects (PE2 CD2 and pH2)
Materials and MethodBox-Behnken design as an experimental design of RSM was used to create a set of designed experiments by Design-Expert software
(version 703) A series of 17 experiments were designed of reliable measurement for SDS removal response with design of unblocked and 5 replicate
Results and DiscussionEffect of Fe2+ RegenerationIn AOPs the rapid depletion of Fe2+ usually terminates the production of hydroxyl radicalsthe rate constant of Fe2+ reaction with OH 32 times108 M-1 s-1 is approximately 10 times that of H2O2 reaction with OH 33 times107 M-1 s-1
H2O2 + OH rarr H2O + HObull2
Fe3+ + HObull2 rarr Fe2+ + H+ + O2
In AEOPs there is continuous generation of Fe2+ provided from sacrificial iron anodes that leads the generation of a powerful oxidant the hydroxyl radical (OH) which can react with most organic pollutants and then degrade them
Results and DiscussionModel Prediction and Development
SDS Removal = ndash 697862+ 6925PE + 69625pH + 16250CD ndash 6875PECD + 0237PEpH ndash 0044PE2 ndash 1166250CD2 ndash
7412pH2
Correlation coefficients R2 = 9962 Adj R2 = 9913 Pred R2 =9451
Where PE peroxide concentration (mgl) CD current density (mAcm2) and pH acidity
Results and Discussion Data Matrix of Box-Behnken Design
Run No Peroxide concentratio
n (mgl)
Current Density
(mAcm2)
Acidity of wastewate
rpH
SDSRemoval
Exp Pred
1 40 05 6 8200 8112
2 50 05 5 9400 9370
3 60 05 6 9050 9112
4 50 05 5 9300 9370
5 50 04 6 7150 7112
6 50 05 5 9400 9366
7 50 05 5 9395 93908 40 04 5 5850
59759 40 06 5 9000
902510 60 05 4 7700
778711 60 06 5 8300
817512 40 05 4 7800
773713 60 04 5 7900
793714 50 04 4 6200
613715 50 05 5 9375 9365
16 50 06 6 8600 8662
17 50 06 4 7900 7875
The predicated values approaches the experimental results
Results and DiscussionANOVA Source Statistical Parameters
Sum of Squares
DF F-value P-valueProbgtF
Model 194546 9 20379 lt 00001
Peroxide Conc (PE) 5512 1 51 97 00002
Current Density(CD)
56112 1 52901 lt 00001
Acidity (pH) 14450 1 13623 lt 00001
PECD 18906 1 17824 lt 00001
PEpH 2256 1 2127 00024
CDpH 156 1 147 02642
PE2 8198 1 7729 lt 00001
CD2 57269 1 53991 lt 00001
pH2 23135 1 21811 lt 00001
Data given in this table demonstrates that the model was significant at the 95 confidence level since p-values were less than 005
Results and DiscussionEffect of PE and CD on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 500
4000 4500
5000 5500
6000
040 045
050 055
060
58
675
77
865
96
SDS
Rem
oval
A PE B CD
Response surface shows elliptical peak started at the midlevel to the high level of current density while along the whole levels of peroxide concentration
Results and DiscussionEffect of PE and CD on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 500
4000 4500 5000 5500 6000
040
045
050
055
060 SDS Rem oval
A PE
B CD
656588715675 774763
833851
892938
892938
5
Results and DiscussionEffect of PE and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = A PEX2 = C PH
Actual FactorB CD = 050
4000 4500
5000 5500
6000
400 450
500 550
600
77
815
86
905
95
SDS
Rem
oval
A PE C PH
For both variables peroxide concen and pH increasing the levels from their midlevel to the high the SDS removal percent increases to clearly sharp peak thereafter it starts to decrease
Results and DiscussionEffect of PE and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = A PEX2 = C PH
Actual FactorB CD = 050
4000 4500 5000 5500 6000
400
450
500
550
600SDS Rem oval
A PE
C PH
803052 803052832353
861655
861655
890956
920258
5
Results and DiscussionEffect of CD and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = B CDX2 = C PH
Actual FactorA PE = 5000
040 045
050 055
060
400 450
500 550
600
61
6975
785
8725
96
SDS
Rem
oval
B CD C PH
The response surface shows a clear peak started at pH of 45 to its high level and current density of midlevel to its high level
Results and DiscussionEffect of CD and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = B CDX2 = C PH
Actual FactorA PE = 5000
040 045 050 055 060
400
450
500
550
600SDS Rem oval
B C D
C PH
671037
728324
785611
842898
900184
900184
5
Results and DiscussionOptimization Analysis
Design-Expertreg Software
SDS Rem oval94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 510
4000 4500 5000 5500 6000
040
045
050
055
060SDS Rem oval
A PE
B CD
650287701564
752841 804118
855395
855395
906672
906672Prediction 917204
Response numerical optimization of Design-Expert software at minimum amount of peroxide addition and within the tested range of current density and acidity
Results and DiscussionOptimization Analysis
Design-Expertreg Software
Desirability1
0
X1 = A PEX2 = B CD
Actual FactorC PH = 510
4000 4500 5000 5500 6000
040
045
050
055
060Desirability
A PE
B CD
0161
0322
0322
0484
0645
0806
Prediction 0967
SDS removal of 9172 was determined at 0967 desirability
The optimum conditions
PE (40 mgl) CD(057 mAcm2) and initial acidity of wastewater (pH=510) depend upon the selected design range assumption
THANK YOU
Materials and Method
Materials and MethodDOERSM was used for determining the amounts of SDS removal as a function of hydrogen peroxide concentrations current density and the initial pH of wastewater
Generalized (multiple regression polynomial) equation
β0 the constant coefficientthree first-order effects (terms in PE CD and pH)three interaction effects (terms in PECD PEpH and pHCD)three second-order effects (PE2 CD2 and pH2)
Materials and MethodBox-Behnken design as an experimental design of RSM was used to create a set of designed experiments by Design-Expert software
(version 703) A series of 17 experiments were designed of reliable measurement for SDS removal response with design of unblocked and 5 replicate
Results and DiscussionEffect of Fe2+ RegenerationIn AOPs the rapid depletion of Fe2+ usually terminates the production of hydroxyl radicalsthe rate constant of Fe2+ reaction with OH 32 times108 M-1 s-1 is approximately 10 times that of H2O2 reaction with OH 33 times107 M-1 s-1
H2O2 + OH rarr H2O + HObull2
Fe3+ + HObull2 rarr Fe2+ + H+ + O2
In AEOPs there is continuous generation of Fe2+ provided from sacrificial iron anodes that leads the generation of a powerful oxidant the hydroxyl radical (OH) which can react with most organic pollutants and then degrade them
Results and DiscussionModel Prediction and Development
SDS Removal = ndash 697862+ 6925PE + 69625pH + 16250CD ndash 6875PECD + 0237PEpH ndash 0044PE2 ndash 1166250CD2 ndash
7412pH2
Correlation coefficients R2 = 9962 Adj R2 = 9913 Pred R2 =9451
Where PE peroxide concentration (mgl) CD current density (mAcm2) and pH acidity
Results and Discussion Data Matrix of Box-Behnken Design
Run No Peroxide concentratio
n (mgl)
Current Density
(mAcm2)
Acidity of wastewate
rpH
SDSRemoval
Exp Pred
1 40 05 6 8200 8112
2 50 05 5 9400 9370
3 60 05 6 9050 9112
4 50 05 5 9300 9370
5 50 04 6 7150 7112
6 50 05 5 9400 9366
7 50 05 5 9395 93908 40 04 5 5850
59759 40 06 5 9000
902510 60 05 4 7700
778711 60 06 5 8300
817512 40 05 4 7800
773713 60 04 5 7900
793714 50 04 4 6200
613715 50 05 5 9375 9365
16 50 06 6 8600 8662
17 50 06 4 7900 7875
The predicated values approaches the experimental results
Results and DiscussionANOVA Source Statistical Parameters
Sum of Squares
DF F-value P-valueProbgtF
Model 194546 9 20379 lt 00001
Peroxide Conc (PE) 5512 1 51 97 00002
Current Density(CD)
56112 1 52901 lt 00001
Acidity (pH) 14450 1 13623 lt 00001
PECD 18906 1 17824 lt 00001
PEpH 2256 1 2127 00024
CDpH 156 1 147 02642
PE2 8198 1 7729 lt 00001
CD2 57269 1 53991 lt 00001
pH2 23135 1 21811 lt 00001
Data given in this table demonstrates that the model was significant at the 95 confidence level since p-values were less than 005
Results and DiscussionEffect of PE and CD on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 500
4000 4500
5000 5500
6000
040 045
050 055
060
58
675
77
865
96
SDS
Rem
oval
A PE B CD
Response surface shows elliptical peak started at the midlevel to the high level of current density while along the whole levels of peroxide concentration
Results and DiscussionEffect of PE and CD on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 500
4000 4500 5000 5500 6000
040
045
050
055
060 SDS Rem oval
A PE
B CD
656588715675 774763
833851
892938
892938
5
Results and DiscussionEffect of PE and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = A PEX2 = C PH
Actual FactorB CD = 050
4000 4500
5000 5500
6000
400 450
500 550
600
77
815
86
905
95
SDS
Rem
oval
A PE C PH
For both variables peroxide concen and pH increasing the levels from their midlevel to the high the SDS removal percent increases to clearly sharp peak thereafter it starts to decrease
Results and DiscussionEffect of PE and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = A PEX2 = C PH
Actual FactorB CD = 050
4000 4500 5000 5500 6000
400
450
500
550
600SDS Rem oval
A PE
C PH
803052 803052832353
861655
861655
890956
920258
5
Results and DiscussionEffect of CD and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = B CDX2 = C PH
Actual FactorA PE = 5000
040 045
050 055
060
400 450
500 550
600
61
6975
785
8725
96
SDS
Rem
oval
B CD C PH
The response surface shows a clear peak started at pH of 45 to its high level and current density of midlevel to its high level
Results and DiscussionEffect of CD and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = B CDX2 = C PH
Actual FactorA PE = 5000
040 045 050 055 060
400
450
500
550
600SDS Rem oval
B C D
C PH
671037
728324
785611
842898
900184
900184
5
Results and DiscussionOptimization Analysis
Design-Expertreg Software
SDS Rem oval94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 510
4000 4500 5000 5500 6000
040
045
050
055
060SDS Rem oval
A PE
B CD
650287701564
752841 804118
855395
855395
906672
906672Prediction 917204
Response numerical optimization of Design-Expert software at minimum amount of peroxide addition and within the tested range of current density and acidity
Results and DiscussionOptimization Analysis
Design-Expertreg Software
Desirability1
0
X1 = A PEX2 = B CD
Actual FactorC PH = 510
4000 4500 5000 5500 6000
040
045
050
055
060Desirability
A PE
B CD
0161
0322
0322
0484
0645
0806
Prediction 0967
SDS removal of 9172 was determined at 0967 desirability
The optimum conditions
PE (40 mgl) CD(057 mAcm2) and initial acidity of wastewater (pH=510) depend upon the selected design range assumption
THANK YOU
Materials and MethodDOERSM was used for determining the amounts of SDS removal as a function of hydrogen peroxide concentrations current density and the initial pH of wastewater
Generalized (multiple regression polynomial) equation
β0 the constant coefficientthree first-order effects (terms in PE CD and pH)three interaction effects (terms in PECD PEpH and pHCD)three second-order effects (PE2 CD2 and pH2)
Materials and MethodBox-Behnken design as an experimental design of RSM was used to create a set of designed experiments by Design-Expert software
(version 703) A series of 17 experiments were designed of reliable measurement for SDS removal response with design of unblocked and 5 replicate
Results and DiscussionEffect of Fe2+ RegenerationIn AOPs the rapid depletion of Fe2+ usually terminates the production of hydroxyl radicalsthe rate constant of Fe2+ reaction with OH 32 times108 M-1 s-1 is approximately 10 times that of H2O2 reaction with OH 33 times107 M-1 s-1
H2O2 + OH rarr H2O + HObull2
Fe3+ + HObull2 rarr Fe2+ + H+ + O2
In AEOPs there is continuous generation of Fe2+ provided from sacrificial iron anodes that leads the generation of a powerful oxidant the hydroxyl radical (OH) which can react with most organic pollutants and then degrade them
Results and DiscussionModel Prediction and Development
SDS Removal = ndash 697862+ 6925PE + 69625pH + 16250CD ndash 6875PECD + 0237PEpH ndash 0044PE2 ndash 1166250CD2 ndash
7412pH2
Correlation coefficients R2 = 9962 Adj R2 = 9913 Pred R2 =9451
Where PE peroxide concentration (mgl) CD current density (mAcm2) and pH acidity
Results and Discussion Data Matrix of Box-Behnken Design
Run No Peroxide concentratio
n (mgl)
Current Density
(mAcm2)
Acidity of wastewate
rpH
SDSRemoval
Exp Pred
1 40 05 6 8200 8112
2 50 05 5 9400 9370
3 60 05 6 9050 9112
4 50 05 5 9300 9370
5 50 04 6 7150 7112
6 50 05 5 9400 9366
7 50 05 5 9395 93908 40 04 5 5850
59759 40 06 5 9000
902510 60 05 4 7700
778711 60 06 5 8300
817512 40 05 4 7800
773713 60 04 5 7900
793714 50 04 4 6200
613715 50 05 5 9375 9365
16 50 06 6 8600 8662
17 50 06 4 7900 7875
The predicated values approaches the experimental results
Results and DiscussionANOVA Source Statistical Parameters
Sum of Squares
DF F-value P-valueProbgtF
Model 194546 9 20379 lt 00001
Peroxide Conc (PE) 5512 1 51 97 00002
Current Density(CD)
56112 1 52901 lt 00001
Acidity (pH) 14450 1 13623 lt 00001
PECD 18906 1 17824 lt 00001
PEpH 2256 1 2127 00024
CDpH 156 1 147 02642
PE2 8198 1 7729 lt 00001
CD2 57269 1 53991 lt 00001
pH2 23135 1 21811 lt 00001
Data given in this table demonstrates that the model was significant at the 95 confidence level since p-values were less than 005
Results and DiscussionEffect of PE and CD on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 500
4000 4500
5000 5500
6000
040 045
050 055
060
58
675
77
865
96
SDS
Rem
oval
A PE B CD
Response surface shows elliptical peak started at the midlevel to the high level of current density while along the whole levels of peroxide concentration
Results and DiscussionEffect of PE and CD on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 500
4000 4500 5000 5500 6000
040
045
050
055
060 SDS Rem oval
A PE
B CD
656588715675 774763
833851
892938
892938
5
Results and DiscussionEffect of PE and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = A PEX2 = C PH
Actual FactorB CD = 050
4000 4500
5000 5500
6000
400 450
500 550
600
77
815
86
905
95
SDS
Rem
oval
A PE C PH
For both variables peroxide concen and pH increasing the levels from their midlevel to the high the SDS removal percent increases to clearly sharp peak thereafter it starts to decrease
Results and DiscussionEffect of PE and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = A PEX2 = C PH
Actual FactorB CD = 050
4000 4500 5000 5500 6000
400
450
500
550
600SDS Rem oval
A PE
C PH
803052 803052832353
861655
861655
890956
920258
5
Results and DiscussionEffect of CD and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = B CDX2 = C PH
Actual FactorA PE = 5000
040 045
050 055
060
400 450
500 550
600
61
6975
785
8725
96
SDS
Rem
oval
B CD C PH
The response surface shows a clear peak started at pH of 45 to its high level and current density of midlevel to its high level
Results and DiscussionEffect of CD and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = B CDX2 = C PH
Actual FactorA PE = 5000
040 045 050 055 060
400
450
500
550
600SDS Rem oval
B C D
C PH
671037
728324
785611
842898
900184
900184
5
Results and DiscussionOptimization Analysis
Design-Expertreg Software
SDS Rem oval94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 510
4000 4500 5000 5500 6000
040
045
050
055
060SDS Rem oval
A PE
B CD
650287701564
752841 804118
855395
855395
906672
906672Prediction 917204
Response numerical optimization of Design-Expert software at minimum amount of peroxide addition and within the tested range of current density and acidity
Results and DiscussionOptimization Analysis
Design-Expertreg Software
Desirability1
0
X1 = A PEX2 = B CD
Actual FactorC PH = 510
4000 4500 5000 5500 6000
040
045
050
055
060Desirability
A PE
B CD
0161
0322
0322
0484
0645
0806
Prediction 0967
SDS removal of 9172 was determined at 0967 desirability
The optimum conditions
PE (40 mgl) CD(057 mAcm2) and initial acidity of wastewater (pH=510) depend upon the selected design range assumption
THANK YOU
Materials and MethodBox-Behnken design as an experimental design of RSM was used to create a set of designed experiments by Design-Expert software
(version 703) A series of 17 experiments were designed of reliable measurement for SDS removal response with design of unblocked and 5 replicate
Results and DiscussionEffect of Fe2+ RegenerationIn AOPs the rapid depletion of Fe2+ usually terminates the production of hydroxyl radicalsthe rate constant of Fe2+ reaction with OH 32 times108 M-1 s-1 is approximately 10 times that of H2O2 reaction with OH 33 times107 M-1 s-1
H2O2 + OH rarr H2O + HObull2
Fe3+ + HObull2 rarr Fe2+ + H+ + O2
In AEOPs there is continuous generation of Fe2+ provided from sacrificial iron anodes that leads the generation of a powerful oxidant the hydroxyl radical (OH) which can react with most organic pollutants and then degrade them
Results and DiscussionModel Prediction and Development
SDS Removal = ndash 697862+ 6925PE + 69625pH + 16250CD ndash 6875PECD + 0237PEpH ndash 0044PE2 ndash 1166250CD2 ndash
7412pH2
Correlation coefficients R2 = 9962 Adj R2 = 9913 Pred R2 =9451
Where PE peroxide concentration (mgl) CD current density (mAcm2) and pH acidity
Results and Discussion Data Matrix of Box-Behnken Design
Run No Peroxide concentratio
n (mgl)
Current Density
(mAcm2)
Acidity of wastewate
rpH
SDSRemoval
Exp Pred
1 40 05 6 8200 8112
2 50 05 5 9400 9370
3 60 05 6 9050 9112
4 50 05 5 9300 9370
5 50 04 6 7150 7112
6 50 05 5 9400 9366
7 50 05 5 9395 93908 40 04 5 5850
59759 40 06 5 9000
902510 60 05 4 7700
778711 60 06 5 8300
817512 40 05 4 7800
773713 60 04 5 7900
793714 50 04 4 6200
613715 50 05 5 9375 9365
16 50 06 6 8600 8662
17 50 06 4 7900 7875
The predicated values approaches the experimental results
Results and DiscussionANOVA Source Statistical Parameters
Sum of Squares
DF F-value P-valueProbgtF
Model 194546 9 20379 lt 00001
Peroxide Conc (PE) 5512 1 51 97 00002
Current Density(CD)
56112 1 52901 lt 00001
Acidity (pH) 14450 1 13623 lt 00001
PECD 18906 1 17824 lt 00001
PEpH 2256 1 2127 00024
CDpH 156 1 147 02642
PE2 8198 1 7729 lt 00001
CD2 57269 1 53991 lt 00001
pH2 23135 1 21811 lt 00001
Data given in this table demonstrates that the model was significant at the 95 confidence level since p-values were less than 005
Results and DiscussionEffect of PE and CD on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 500
4000 4500
5000 5500
6000
040 045
050 055
060
58
675
77
865
96
SDS
Rem
oval
A PE B CD
Response surface shows elliptical peak started at the midlevel to the high level of current density while along the whole levels of peroxide concentration
Results and DiscussionEffect of PE and CD on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 500
4000 4500 5000 5500 6000
040
045
050
055
060 SDS Rem oval
A PE
B CD
656588715675 774763
833851
892938
892938
5
Results and DiscussionEffect of PE and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = A PEX2 = C PH
Actual FactorB CD = 050
4000 4500
5000 5500
6000
400 450
500 550
600
77
815
86
905
95
SDS
Rem
oval
A PE C PH
For both variables peroxide concen and pH increasing the levels from their midlevel to the high the SDS removal percent increases to clearly sharp peak thereafter it starts to decrease
Results and DiscussionEffect of PE and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = A PEX2 = C PH
Actual FactorB CD = 050
4000 4500 5000 5500 6000
400
450
500
550
600SDS Rem oval
A PE
C PH
803052 803052832353
861655
861655
890956
920258
5
Results and DiscussionEffect of CD and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = B CDX2 = C PH
Actual FactorA PE = 5000
040 045
050 055
060
400 450
500 550
600
61
6975
785
8725
96
SDS
Rem
oval
B CD C PH
The response surface shows a clear peak started at pH of 45 to its high level and current density of midlevel to its high level
Results and DiscussionEffect of CD and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = B CDX2 = C PH
Actual FactorA PE = 5000
040 045 050 055 060
400
450
500
550
600SDS Rem oval
B C D
C PH
671037
728324
785611
842898
900184
900184
5
Results and DiscussionOptimization Analysis
Design-Expertreg Software
SDS Rem oval94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 510
4000 4500 5000 5500 6000
040
045
050
055
060SDS Rem oval
A PE
B CD
650287701564
752841 804118
855395
855395
906672
906672Prediction 917204
Response numerical optimization of Design-Expert software at minimum amount of peroxide addition and within the tested range of current density and acidity
Results and DiscussionOptimization Analysis
Design-Expertreg Software
Desirability1
0
X1 = A PEX2 = B CD
Actual FactorC PH = 510
4000 4500 5000 5500 6000
040
045
050
055
060Desirability
A PE
B CD
0161
0322
0322
0484
0645
0806
Prediction 0967
SDS removal of 9172 was determined at 0967 desirability
The optimum conditions
PE (40 mgl) CD(057 mAcm2) and initial acidity of wastewater (pH=510) depend upon the selected design range assumption
THANK YOU
Results and DiscussionEffect of Fe2+ RegenerationIn AOPs the rapid depletion of Fe2+ usually terminates the production of hydroxyl radicalsthe rate constant of Fe2+ reaction with OH 32 times108 M-1 s-1 is approximately 10 times that of H2O2 reaction with OH 33 times107 M-1 s-1
H2O2 + OH rarr H2O + HObull2
Fe3+ + HObull2 rarr Fe2+ + H+ + O2
In AEOPs there is continuous generation of Fe2+ provided from sacrificial iron anodes that leads the generation of a powerful oxidant the hydroxyl radical (OH) which can react with most organic pollutants and then degrade them
Results and DiscussionModel Prediction and Development
SDS Removal = ndash 697862+ 6925PE + 69625pH + 16250CD ndash 6875PECD + 0237PEpH ndash 0044PE2 ndash 1166250CD2 ndash
7412pH2
Correlation coefficients R2 = 9962 Adj R2 = 9913 Pred R2 =9451
Where PE peroxide concentration (mgl) CD current density (mAcm2) and pH acidity
Results and Discussion Data Matrix of Box-Behnken Design
Run No Peroxide concentratio
n (mgl)
Current Density
(mAcm2)
Acidity of wastewate
rpH
SDSRemoval
Exp Pred
1 40 05 6 8200 8112
2 50 05 5 9400 9370
3 60 05 6 9050 9112
4 50 05 5 9300 9370
5 50 04 6 7150 7112
6 50 05 5 9400 9366
7 50 05 5 9395 93908 40 04 5 5850
59759 40 06 5 9000
902510 60 05 4 7700
778711 60 06 5 8300
817512 40 05 4 7800
773713 60 04 5 7900
793714 50 04 4 6200
613715 50 05 5 9375 9365
16 50 06 6 8600 8662
17 50 06 4 7900 7875
The predicated values approaches the experimental results
Results and DiscussionANOVA Source Statistical Parameters
Sum of Squares
DF F-value P-valueProbgtF
Model 194546 9 20379 lt 00001
Peroxide Conc (PE) 5512 1 51 97 00002
Current Density(CD)
56112 1 52901 lt 00001
Acidity (pH) 14450 1 13623 lt 00001
PECD 18906 1 17824 lt 00001
PEpH 2256 1 2127 00024
CDpH 156 1 147 02642
PE2 8198 1 7729 lt 00001
CD2 57269 1 53991 lt 00001
pH2 23135 1 21811 lt 00001
Data given in this table demonstrates that the model was significant at the 95 confidence level since p-values were less than 005
Results and DiscussionEffect of PE and CD on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 500
4000 4500
5000 5500
6000
040 045
050 055
060
58
675
77
865
96
SDS
Rem
oval
A PE B CD
Response surface shows elliptical peak started at the midlevel to the high level of current density while along the whole levels of peroxide concentration
Results and DiscussionEffect of PE and CD on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 500
4000 4500 5000 5500 6000
040
045
050
055
060 SDS Rem oval
A PE
B CD
656588715675 774763
833851
892938
892938
5
Results and DiscussionEffect of PE and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = A PEX2 = C PH
Actual FactorB CD = 050
4000 4500
5000 5500
6000
400 450
500 550
600
77
815
86
905
95
SDS
Rem
oval
A PE C PH
For both variables peroxide concen and pH increasing the levels from their midlevel to the high the SDS removal percent increases to clearly sharp peak thereafter it starts to decrease
Results and DiscussionEffect of PE and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = A PEX2 = C PH
Actual FactorB CD = 050
4000 4500 5000 5500 6000
400
450
500
550
600SDS Rem oval
A PE
C PH
803052 803052832353
861655
861655
890956
920258
5
Results and DiscussionEffect of CD and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = B CDX2 = C PH
Actual FactorA PE = 5000
040 045
050 055
060
400 450
500 550
600
61
6975
785
8725
96
SDS
Rem
oval
B CD C PH
The response surface shows a clear peak started at pH of 45 to its high level and current density of midlevel to its high level
Results and DiscussionEffect of CD and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = B CDX2 = C PH
Actual FactorA PE = 5000
040 045 050 055 060
400
450
500
550
600SDS Rem oval
B C D
C PH
671037
728324
785611
842898
900184
900184
5
Results and DiscussionOptimization Analysis
Design-Expertreg Software
SDS Rem oval94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 510
4000 4500 5000 5500 6000
040
045
050
055
060SDS Rem oval
A PE
B CD
650287701564
752841 804118
855395
855395
906672
906672Prediction 917204
Response numerical optimization of Design-Expert software at minimum amount of peroxide addition and within the tested range of current density and acidity
Results and DiscussionOptimization Analysis
Design-Expertreg Software
Desirability1
0
X1 = A PEX2 = B CD
Actual FactorC PH = 510
4000 4500 5000 5500 6000
040
045
050
055
060Desirability
A PE
B CD
0161
0322
0322
0484
0645
0806
Prediction 0967
SDS removal of 9172 was determined at 0967 desirability
The optimum conditions
PE (40 mgl) CD(057 mAcm2) and initial acidity of wastewater (pH=510) depend upon the selected design range assumption
THANK YOU
Results and DiscussionModel Prediction and Development
SDS Removal = ndash 697862+ 6925PE + 69625pH + 16250CD ndash 6875PECD + 0237PEpH ndash 0044PE2 ndash 1166250CD2 ndash
7412pH2
Correlation coefficients R2 = 9962 Adj R2 = 9913 Pred R2 =9451
Where PE peroxide concentration (mgl) CD current density (mAcm2) and pH acidity
Results and Discussion Data Matrix of Box-Behnken Design
Run No Peroxide concentratio
n (mgl)
Current Density
(mAcm2)
Acidity of wastewate
rpH
SDSRemoval
Exp Pred
1 40 05 6 8200 8112
2 50 05 5 9400 9370
3 60 05 6 9050 9112
4 50 05 5 9300 9370
5 50 04 6 7150 7112
6 50 05 5 9400 9366
7 50 05 5 9395 93908 40 04 5 5850
59759 40 06 5 9000
902510 60 05 4 7700
778711 60 06 5 8300
817512 40 05 4 7800
773713 60 04 5 7900
793714 50 04 4 6200
613715 50 05 5 9375 9365
16 50 06 6 8600 8662
17 50 06 4 7900 7875
The predicated values approaches the experimental results
Results and DiscussionANOVA Source Statistical Parameters
Sum of Squares
DF F-value P-valueProbgtF
Model 194546 9 20379 lt 00001
Peroxide Conc (PE) 5512 1 51 97 00002
Current Density(CD)
56112 1 52901 lt 00001
Acidity (pH) 14450 1 13623 lt 00001
PECD 18906 1 17824 lt 00001
PEpH 2256 1 2127 00024
CDpH 156 1 147 02642
PE2 8198 1 7729 lt 00001
CD2 57269 1 53991 lt 00001
pH2 23135 1 21811 lt 00001
Data given in this table demonstrates that the model was significant at the 95 confidence level since p-values were less than 005
Results and DiscussionEffect of PE and CD on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 500
4000 4500
5000 5500
6000
040 045
050 055
060
58
675
77
865
96
SDS
Rem
oval
A PE B CD
Response surface shows elliptical peak started at the midlevel to the high level of current density while along the whole levels of peroxide concentration
Results and DiscussionEffect of PE and CD on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 500
4000 4500 5000 5500 6000
040
045
050
055
060 SDS Rem oval
A PE
B CD
656588715675 774763
833851
892938
892938
5
Results and DiscussionEffect of PE and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = A PEX2 = C PH
Actual FactorB CD = 050
4000 4500
5000 5500
6000
400 450
500 550
600
77
815
86
905
95
SDS
Rem
oval
A PE C PH
For both variables peroxide concen and pH increasing the levels from their midlevel to the high the SDS removal percent increases to clearly sharp peak thereafter it starts to decrease
Results and DiscussionEffect of PE and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = A PEX2 = C PH
Actual FactorB CD = 050
4000 4500 5000 5500 6000
400
450
500
550
600SDS Rem oval
A PE
C PH
803052 803052832353
861655
861655
890956
920258
5
Results and DiscussionEffect of CD and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = B CDX2 = C PH
Actual FactorA PE = 5000
040 045
050 055
060
400 450
500 550
600
61
6975
785
8725
96
SDS
Rem
oval
B CD C PH
The response surface shows a clear peak started at pH of 45 to its high level and current density of midlevel to its high level
Results and DiscussionEffect of CD and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = B CDX2 = C PH
Actual FactorA PE = 5000
040 045 050 055 060
400
450
500
550
600SDS Rem oval
B C D
C PH
671037
728324
785611
842898
900184
900184
5
Results and DiscussionOptimization Analysis
Design-Expertreg Software
SDS Rem oval94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 510
4000 4500 5000 5500 6000
040
045
050
055
060SDS Rem oval
A PE
B CD
650287701564
752841 804118
855395
855395
906672
906672Prediction 917204
Response numerical optimization of Design-Expert software at minimum amount of peroxide addition and within the tested range of current density and acidity
Results and DiscussionOptimization Analysis
Design-Expertreg Software
Desirability1
0
X1 = A PEX2 = B CD
Actual FactorC PH = 510
4000 4500 5000 5500 6000
040
045
050
055
060Desirability
A PE
B CD
0161
0322
0322
0484
0645
0806
Prediction 0967
SDS removal of 9172 was determined at 0967 desirability
The optimum conditions
PE (40 mgl) CD(057 mAcm2) and initial acidity of wastewater (pH=510) depend upon the selected design range assumption
THANK YOU
Results and Discussion Data Matrix of Box-Behnken Design
Run No Peroxide concentratio
n (mgl)
Current Density
(mAcm2)
Acidity of wastewate
rpH
SDSRemoval
Exp Pred
1 40 05 6 8200 8112
2 50 05 5 9400 9370
3 60 05 6 9050 9112
4 50 05 5 9300 9370
5 50 04 6 7150 7112
6 50 05 5 9400 9366
7 50 05 5 9395 93908 40 04 5 5850
59759 40 06 5 9000
902510 60 05 4 7700
778711 60 06 5 8300
817512 40 05 4 7800
773713 60 04 5 7900
793714 50 04 4 6200
613715 50 05 5 9375 9365
16 50 06 6 8600 8662
17 50 06 4 7900 7875
The predicated values approaches the experimental results
Results and DiscussionANOVA Source Statistical Parameters
Sum of Squares
DF F-value P-valueProbgtF
Model 194546 9 20379 lt 00001
Peroxide Conc (PE) 5512 1 51 97 00002
Current Density(CD)
56112 1 52901 lt 00001
Acidity (pH) 14450 1 13623 lt 00001
PECD 18906 1 17824 lt 00001
PEpH 2256 1 2127 00024
CDpH 156 1 147 02642
PE2 8198 1 7729 lt 00001
CD2 57269 1 53991 lt 00001
pH2 23135 1 21811 lt 00001
Data given in this table demonstrates that the model was significant at the 95 confidence level since p-values were less than 005
Results and DiscussionEffect of PE and CD on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 500
4000 4500
5000 5500
6000
040 045
050 055
060
58
675
77
865
96
SDS
Rem
oval
A PE B CD
Response surface shows elliptical peak started at the midlevel to the high level of current density while along the whole levels of peroxide concentration
Results and DiscussionEffect of PE and CD on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 500
4000 4500 5000 5500 6000
040
045
050
055
060 SDS Rem oval
A PE
B CD
656588715675 774763
833851
892938
892938
5
Results and DiscussionEffect of PE and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = A PEX2 = C PH
Actual FactorB CD = 050
4000 4500
5000 5500
6000
400 450
500 550
600
77
815
86
905
95
SDS
Rem
oval
A PE C PH
For both variables peroxide concen and pH increasing the levels from their midlevel to the high the SDS removal percent increases to clearly sharp peak thereafter it starts to decrease
Results and DiscussionEffect of PE and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = A PEX2 = C PH
Actual FactorB CD = 050
4000 4500 5000 5500 6000
400
450
500
550
600SDS Rem oval
A PE
C PH
803052 803052832353
861655
861655
890956
920258
5
Results and DiscussionEffect of CD and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = B CDX2 = C PH
Actual FactorA PE = 5000
040 045
050 055
060
400 450
500 550
600
61
6975
785
8725
96
SDS
Rem
oval
B CD C PH
The response surface shows a clear peak started at pH of 45 to its high level and current density of midlevel to its high level
Results and DiscussionEffect of CD and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = B CDX2 = C PH
Actual FactorA PE = 5000
040 045 050 055 060
400
450
500
550
600SDS Rem oval
B C D
C PH
671037
728324
785611
842898
900184
900184
5
Results and DiscussionOptimization Analysis
Design-Expertreg Software
SDS Rem oval94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 510
4000 4500 5000 5500 6000
040
045
050
055
060SDS Rem oval
A PE
B CD
650287701564
752841 804118
855395
855395
906672
906672Prediction 917204
Response numerical optimization of Design-Expert software at minimum amount of peroxide addition and within the tested range of current density and acidity
Results and DiscussionOptimization Analysis
Design-Expertreg Software
Desirability1
0
X1 = A PEX2 = B CD
Actual FactorC PH = 510
4000 4500 5000 5500 6000
040
045
050
055
060Desirability
A PE
B CD
0161
0322
0322
0484
0645
0806
Prediction 0967
SDS removal of 9172 was determined at 0967 desirability
The optimum conditions
PE (40 mgl) CD(057 mAcm2) and initial acidity of wastewater (pH=510) depend upon the selected design range assumption
THANK YOU
Results and DiscussionANOVA Source Statistical Parameters
Sum of Squares
DF F-value P-valueProbgtF
Model 194546 9 20379 lt 00001
Peroxide Conc (PE) 5512 1 51 97 00002
Current Density(CD)
56112 1 52901 lt 00001
Acidity (pH) 14450 1 13623 lt 00001
PECD 18906 1 17824 lt 00001
PEpH 2256 1 2127 00024
CDpH 156 1 147 02642
PE2 8198 1 7729 lt 00001
CD2 57269 1 53991 lt 00001
pH2 23135 1 21811 lt 00001
Data given in this table demonstrates that the model was significant at the 95 confidence level since p-values were less than 005
Results and DiscussionEffect of PE and CD on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 500
4000 4500
5000 5500
6000
040 045
050 055
060
58
675
77
865
96
SDS
Rem
oval
A PE B CD
Response surface shows elliptical peak started at the midlevel to the high level of current density while along the whole levels of peroxide concentration
Results and DiscussionEffect of PE and CD on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 500
4000 4500 5000 5500 6000
040
045
050
055
060 SDS Rem oval
A PE
B CD
656588715675 774763
833851
892938
892938
5
Results and DiscussionEffect of PE and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = A PEX2 = C PH
Actual FactorB CD = 050
4000 4500
5000 5500
6000
400 450
500 550
600
77
815
86
905
95
SDS
Rem
oval
A PE C PH
For both variables peroxide concen and pH increasing the levels from their midlevel to the high the SDS removal percent increases to clearly sharp peak thereafter it starts to decrease
Results and DiscussionEffect of PE and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = A PEX2 = C PH
Actual FactorB CD = 050
4000 4500 5000 5500 6000
400
450
500
550
600SDS Rem oval
A PE
C PH
803052 803052832353
861655
861655
890956
920258
5
Results and DiscussionEffect of CD and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = B CDX2 = C PH
Actual FactorA PE = 5000
040 045
050 055
060
400 450
500 550
600
61
6975
785
8725
96
SDS
Rem
oval
B CD C PH
The response surface shows a clear peak started at pH of 45 to its high level and current density of midlevel to its high level
Results and DiscussionEffect of CD and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = B CDX2 = C PH
Actual FactorA PE = 5000
040 045 050 055 060
400
450
500
550
600SDS Rem oval
B C D
C PH
671037
728324
785611
842898
900184
900184
5
Results and DiscussionOptimization Analysis
Design-Expertreg Software
SDS Rem oval94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 510
4000 4500 5000 5500 6000
040
045
050
055
060SDS Rem oval
A PE
B CD
650287701564
752841 804118
855395
855395
906672
906672Prediction 917204
Response numerical optimization of Design-Expert software at minimum amount of peroxide addition and within the tested range of current density and acidity
Results and DiscussionOptimization Analysis
Design-Expertreg Software
Desirability1
0
X1 = A PEX2 = B CD
Actual FactorC PH = 510
4000 4500 5000 5500 6000
040
045
050
055
060Desirability
A PE
B CD
0161
0322
0322
0484
0645
0806
Prediction 0967
SDS removal of 9172 was determined at 0967 desirability
The optimum conditions
PE (40 mgl) CD(057 mAcm2) and initial acidity of wastewater (pH=510) depend upon the selected design range assumption
THANK YOU
Results and DiscussionEffect of PE and CD on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 500
4000 4500
5000 5500
6000
040 045
050 055
060
58
675
77
865
96
SDS
Rem
oval
A PE B CD
Response surface shows elliptical peak started at the midlevel to the high level of current density while along the whole levels of peroxide concentration
Results and DiscussionEffect of PE and CD on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 500
4000 4500 5000 5500 6000
040
045
050
055
060 SDS Rem oval
A PE
B CD
656588715675 774763
833851
892938
892938
5
Results and DiscussionEffect of PE and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = A PEX2 = C PH
Actual FactorB CD = 050
4000 4500
5000 5500
6000
400 450
500 550
600
77
815
86
905
95
SDS
Rem
oval
A PE C PH
For both variables peroxide concen and pH increasing the levels from their midlevel to the high the SDS removal percent increases to clearly sharp peak thereafter it starts to decrease
Results and DiscussionEffect of PE and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = A PEX2 = C PH
Actual FactorB CD = 050
4000 4500 5000 5500 6000
400
450
500
550
600SDS Rem oval
A PE
C PH
803052 803052832353
861655
861655
890956
920258
5
Results and DiscussionEffect of CD and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = B CDX2 = C PH
Actual FactorA PE = 5000
040 045
050 055
060
400 450
500 550
600
61
6975
785
8725
96
SDS
Rem
oval
B CD C PH
The response surface shows a clear peak started at pH of 45 to its high level and current density of midlevel to its high level
Results and DiscussionEffect of CD and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = B CDX2 = C PH
Actual FactorA PE = 5000
040 045 050 055 060
400
450
500
550
600SDS Rem oval
B C D
C PH
671037
728324
785611
842898
900184
900184
5
Results and DiscussionOptimization Analysis
Design-Expertreg Software
SDS Rem oval94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 510
4000 4500 5000 5500 6000
040
045
050
055
060SDS Rem oval
A PE
B CD
650287701564
752841 804118
855395
855395
906672
906672Prediction 917204
Response numerical optimization of Design-Expert software at minimum amount of peroxide addition and within the tested range of current density and acidity
Results and DiscussionOptimization Analysis
Design-Expertreg Software
Desirability1
0
X1 = A PEX2 = B CD
Actual FactorC PH = 510
4000 4500 5000 5500 6000
040
045
050
055
060Desirability
A PE
B CD
0161
0322
0322
0484
0645
0806
Prediction 0967
SDS removal of 9172 was determined at 0967 desirability
The optimum conditions
PE (40 mgl) CD(057 mAcm2) and initial acidity of wastewater (pH=510) depend upon the selected design range assumption
THANK YOU
Results and DiscussionEffect of PE and CD on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 500
4000 4500 5000 5500 6000
040
045
050
055
060 SDS Rem oval
A PE
B CD
656588715675 774763
833851
892938
892938
5
Results and DiscussionEffect of PE and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = A PEX2 = C PH
Actual FactorB CD = 050
4000 4500
5000 5500
6000
400 450
500 550
600
77
815
86
905
95
SDS
Rem
oval
A PE C PH
For both variables peroxide concen and pH increasing the levels from their midlevel to the high the SDS removal percent increases to clearly sharp peak thereafter it starts to decrease
Results and DiscussionEffect of PE and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = A PEX2 = C PH
Actual FactorB CD = 050
4000 4500 5000 5500 6000
400
450
500
550
600SDS Rem oval
A PE
C PH
803052 803052832353
861655
861655
890956
920258
5
Results and DiscussionEffect of CD and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = B CDX2 = C PH
Actual FactorA PE = 5000
040 045
050 055
060
400 450
500 550
600
61
6975
785
8725
96
SDS
Rem
oval
B CD C PH
The response surface shows a clear peak started at pH of 45 to its high level and current density of midlevel to its high level
Results and DiscussionEffect of CD and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = B CDX2 = C PH
Actual FactorA PE = 5000
040 045 050 055 060
400
450
500
550
600SDS Rem oval
B C D
C PH
671037
728324
785611
842898
900184
900184
5
Results and DiscussionOptimization Analysis
Design-Expertreg Software
SDS Rem oval94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 510
4000 4500 5000 5500 6000
040
045
050
055
060SDS Rem oval
A PE
B CD
650287701564
752841 804118
855395
855395
906672
906672Prediction 917204
Response numerical optimization of Design-Expert software at minimum amount of peroxide addition and within the tested range of current density and acidity
Results and DiscussionOptimization Analysis
Design-Expertreg Software
Desirability1
0
X1 = A PEX2 = B CD
Actual FactorC PH = 510
4000 4500 5000 5500 6000
040
045
050
055
060Desirability
A PE
B CD
0161
0322
0322
0484
0645
0806
Prediction 0967
SDS removal of 9172 was determined at 0967 desirability
The optimum conditions
PE (40 mgl) CD(057 mAcm2) and initial acidity of wastewater (pH=510) depend upon the selected design range assumption
THANK YOU
Results and DiscussionEffect of PE and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = A PEX2 = C PH
Actual FactorB CD = 050
4000 4500
5000 5500
6000
400 450
500 550
600
77
815
86
905
95
SDS
Rem
oval
A PE C PH
For both variables peroxide concen and pH increasing the levels from their midlevel to the high the SDS removal percent increases to clearly sharp peak thereafter it starts to decrease
Results and DiscussionEffect of PE and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = A PEX2 = C PH
Actual FactorB CD = 050
4000 4500 5000 5500 6000
400
450
500
550
600SDS Rem oval
A PE
C PH
803052 803052832353
861655
861655
890956
920258
5
Results and DiscussionEffect of CD and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = B CDX2 = C PH
Actual FactorA PE = 5000
040 045
050 055
060
400 450
500 550
600
61
6975
785
8725
96
SDS
Rem
oval
B CD C PH
The response surface shows a clear peak started at pH of 45 to its high level and current density of midlevel to its high level
Results and DiscussionEffect of CD and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = B CDX2 = C PH
Actual FactorA PE = 5000
040 045 050 055 060
400
450
500
550
600SDS Rem oval
B C D
C PH
671037
728324
785611
842898
900184
900184
5
Results and DiscussionOptimization Analysis
Design-Expertreg Software
SDS Rem oval94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 510
4000 4500 5000 5500 6000
040
045
050
055
060SDS Rem oval
A PE
B CD
650287701564
752841 804118
855395
855395
906672
906672Prediction 917204
Response numerical optimization of Design-Expert software at minimum amount of peroxide addition and within the tested range of current density and acidity
Results and DiscussionOptimization Analysis
Design-Expertreg Software
Desirability1
0
X1 = A PEX2 = B CD
Actual FactorC PH = 510
4000 4500 5000 5500 6000
040
045
050
055
060Desirability
A PE
B CD
0161
0322
0322
0484
0645
0806
Prediction 0967
SDS removal of 9172 was determined at 0967 desirability
The optimum conditions
PE (40 mgl) CD(057 mAcm2) and initial acidity of wastewater (pH=510) depend upon the selected design range assumption
THANK YOU
Results and DiscussionEffect of PE and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = A PEX2 = C PH
Actual FactorB CD = 050
4000 4500 5000 5500 6000
400
450
500
550
600SDS Rem oval
A PE
C PH
803052 803052832353
861655
861655
890956
920258
5
Results and DiscussionEffect of CD and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = B CDX2 = C PH
Actual FactorA PE = 5000
040 045
050 055
060
400 450
500 550
600
61
6975
785
8725
96
SDS
Rem
oval
B CD C PH
The response surface shows a clear peak started at pH of 45 to its high level and current density of midlevel to its high level
Results and DiscussionEffect of CD and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = B CDX2 = C PH
Actual FactorA PE = 5000
040 045 050 055 060
400
450
500
550
600SDS Rem oval
B C D
C PH
671037
728324
785611
842898
900184
900184
5
Results and DiscussionOptimization Analysis
Design-Expertreg Software
SDS Rem oval94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 510
4000 4500 5000 5500 6000
040
045
050
055
060SDS Rem oval
A PE
B CD
650287701564
752841 804118
855395
855395
906672
906672Prediction 917204
Response numerical optimization of Design-Expert software at minimum amount of peroxide addition and within the tested range of current density and acidity
Results and DiscussionOptimization Analysis
Design-Expertreg Software
Desirability1
0
X1 = A PEX2 = B CD
Actual FactorC PH = 510
4000 4500 5000 5500 6000
040
045
050
055
060Desirability
A PE
B CD
0161
0322
0322
0484
0645
0806
Prediction 0967
SDS removal of 9172 was determined at 0967 desirability
The optimum conditions
PE (40 mgl) CD(057 mAcm2) and initial acidity of wastewater (pH=510) depend upon the selected design range assumption
THANK YOU
Results and DiscussionEffect of CD and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign points above predicted valueDesign points below predicted value94
585
X1 = B CDX2 = C PH
Actual FactorA PE = 5000
040 045
050 055
060
400 450
500 550
600
61
6975
785
8725
96
SDS
Rem
oval
B CD C PH
The response surface shows a clear peak started at pH of 45 to its high level and current density of midlevel to its high level
Results and DiscussionEffect of CD and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = B CDX2 = C PH
Actual FactorA PE = 5000
040 045 050 055 060
400
450
500
550
600SDS Rem oval
B C D
C PH
671037
728324
785611
842898
900184
900184
5
Results and DiscussionOptimization Analysis
Design-Expertreg Software
SDS Rem oval94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 510
4000 4500 5000 5500 6000
040
045
050
055
060SDS Rem oval
A PE
B CD
650287701564
752841 804118
855395
855395
906672
906672Prediction 917204
Response numerical optimization of Design-Expert software at minimum amount of peroxide addition and within the tested range of current density and acidity
Results and DiscussionOptimization Analysis
Design-Expertreg Software
Desirability1
0
X1 = A PEX2 = B CD
Actual FactorC PH = 510
4000 4500 5000 5500 6000
040
045
050
055
060Desirability
A PE
B CD
0161
0322
0322
0484
0645
0806
Prediction 0967
SDS removal of 9172 was determined at 0967 desirability
The optimum conditions
PE (40 mgl) CD(057 mAcm2) and initial acidity of wastewater (pH=510) depend upon the selected design range assumption
THANK YOU
Results and DiscussionEffect of CD and pH on SDS Removal
Design-Expertreg Software
SDS Rem ovalDesign Points94
585
X1 = B CDX2 = C PH
Actual FactorA PE = 5000
040 045 050 055 060
400
450
500
550
600SDS Rem oval
B C D
C PH
671037
728324
785611
842898
900184
900184
5
Results and DiscussionOptimization Analysis
Design-Expertreg Software
SDS Rem oval94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 510
4000 4500 5000 5500 6000
040
045
050
055
060SDS Rem oval
A PE
B CD
650287701564
752841 804118
855395
855395
906672
906672Prediction 917204
Response numerical optimization of Design-Expert software at minimum amount of peroxide addition and within the tested range of current density and acidity
Results and DiscussionOptimization Analysis
Design-Expertreg Software
Desirability1
0
X1 = A PEX2 = B CD
Actual FactorC PH = 510
4000 4500 5000 5500 6000
040
045
050
055
060Desirability
A PE
B CD
0161
0322
0322
0484
0645
0806
Prediction 0967
SDS removal of 9172 was determined at 0967 desirability
The optimum conditions
PE (40 mgl) CD(057 mAcm2) and initial acidity of wastewater (pH=510) depend upon the selected design range assumption
THANK YOU
Results and DiscussionOptimization Analysis
Design-Expertreg Software
SDS Rem oval94
585
X1 = A PEX2 = B CD
Actual FactorC PH = 510
4000 4500 5000 5500 6000
040
045
050
055
060SDS Rem oval
A PE
B CD
650287701564
752841 804118
855395
855395
906672
906672Prediction 917204
Response numerical optimization of Design-Expert software at minimum amount of peroxide addition and within the tested range of current density and acidity
Results and DiscussionOptimization Analysis
Design-Expertreg Software
Desirability1
0
X1 = A PEX2 = B CD
Actual FactorC PH = 510
4000 4500 5000 5500 6000
040
045
050
055
060Desirability
A PE
B CD
0161
0322
0322
0484
0645
0806
Prediction 0967
SDS removal of 9172 was determined at 0967 desirability
The optimum conditions
PE (40 mgl) CD(057 mAcm2) and initial acidity of wastewater (pH=510) depend upon the selected design range assumption
THANK YOU
Results and DiscussionOptimization Analysis
Design-Expertreg Software
Desirability1
0
X1 = A PEX2 = B CD
Actual FactorC PH = 510
4000 4500 5000 5500 6000
040
045
050
055
060Desirability
A PE
B CD
0161
0322
0322
0484
0645
0806
Prediction 0967
SDS removal of 9172 was determined at 0967 desirability
The optimum conditions
PE (40 mgl) CD(057 mAcm2) and initial acidity of wastewater (pH=510) depend upon the selected design range assumption
THANK YOU
THANK YOU