Anal. Methods Environ. Chem. J. 5 (2) (2022) 39-50
Research Article, Issue 2
Analytical Methods in Environmental Chemistry Journal
Journal home page: www.amecj.com/ir
AMECJ
Response surface modeling for the treatment of methylene
blue from aqueous media using electro-Fenton process
before determination by UV-Vis spectrometer: Kinetic and
degradation mechanism
Sara Zahedi a, Ali Asadipour b, Maryam Dolatabadi c, Saeid Ahmadzadeh d, e, *
a Student Research Committee, Kerman University of Medical Sciences, Kerman, Iran.
b Department of Medicinal Chemistry, Faculty of Pharmacy, Kerman University of Medical Sciences, Kerman, Iran.
c Environmental Science and Technology Research Center, Department of Environmental Health Engineering, School of
Public Health, Shahid Sadoughi University of Medical Sciences, Yazd, Iran.
d Pharmaceutics Research Center, Institute of Neuropharmacology, Kerman University of Medical Sciences, Kerman, Iran.
e Pharmaceutical Sciences and Cosmetic Products Research Center, Kerman University of Medical Sciences, Kerman, Iran
ABSTRACT
In the present study, response surface methodology was employed
to investigate the effects of main variables, including the initial
MB concentration, hydrogen peroxide dosage, current density, and
electrolysis time on the removal efciency of MB using the electro-
Fenton (EF) process. The MB concentration determination by UV-
Vis spectrometer. The EF process degrades the MB contaminant
molecules by the highly oxidizing species of the OH. A quadratic
regression model was developed to predict the removal of MB, where
the R2 value was found to be 0.9970, which indicates the satisfactory
accuracy of the proposed model. ANOVA analysis showed a non-
signicant lack of t value (0.0840). Moreover, the predicted
correlation coefcient values (R2=0.9915) were reasonably in
agreement with the adjusted correlation coefcient value (R2=0.9958),
demonstrating a highly signicant model for MB dye removal. In
addition, the obtained results showed 95.8% MB was removed in the
optimum removal efciency, including the initial MB concentration
of 20 mg L-1, H2O2 dosage of 400 μL, and the current density of 7.0
mA cm-2, and electrolysis time of 10 min which was agreed with the
predicted removal efciency of 98.3%. Electrical energy consumption
was found to be 0.163 kWh m-3. The constant rate value of Kapp at the
optimum operating condition was 0.3753 min-1.
Keywords:
Electro-Fenton process,
UV-Vis spectrometer,
Methylene blue,
Response surface methodology,
Degradation,
Kinetic
ARTICLE INFO:
Received 3 Mar 2022
Revised form 29 Apr 2022
Accepted 16 May 2022
Available online 29 Jun 2022
*Corresponding Author: Saeid Ahmadzadeh
Email: saeid.ahmadzadeh@kmu.ac.ir
https://doi.org/10.24200/amecj.v5.i02.178
------------------------
1. Introduction
Due to the increasing use of tens of thousands of
various types of dyes, which are employed in plastic
products, cosmetics, leather, and food industries,
and their release of about over 100 tons into the
aqueous environments, a severe global concern has
been raised for efcient removal of such organic
micropollutants before releasing the industrial
wastewater into the environmental medium [1,
2]. The adverse effects of toxic dyes on human
beings, biota, microorganisms, and environmental
health, even at decient concentrations on the one
hand, and their high resistance to photochemical
and biological degradation, on the other hand, the
40
necessity has required to eliminate the synthetic
dyes contaminant from efuents [3-5]. Among the
high-consumption dyes, methylene blue (MB),
a derivative of phenothiazine, is widely used as
a redox indicator, biological staining reagent,
medication to treat methemoglobinemia, and
adjunct employed in endoscopic polypectomy.
Besides, it is used extensively in textiles dyeing
industries of cotton, wool, and silk. Exposure of
methylene blue to the eyes causes irreversible
damage of partial blindness [6, 7]. Moreover,
its inhalation causes respiratory problems. Its
ingestion orally causes a burning sensation in
the gastrointestinal tract and induces nausea,
vomiting, profuse sweating, as well as mental
confusion, and methemoglobinemia [8-11].
There are many techniques such as UV-VIS
spectrometer, gas chromatography, and liquid
chromatography for determining MB, dye,
tyrosine kinase, toluene, benzene, and organic
materials in different matrixes [12-17]. During
the last decades, several treatments techniques,
including coagulation, adsorption, and ltration
processes, have been developed for the removal
of dye contaminants which suffered from the
disadvantages such as high operational costs
due to the production of a massive amount of
sludge or solid waste and transferring the dyes
to another phase by concentrating them rather
than eliminating them [18, 19]. The advanced
oxidation processes (AOPs) as an economical
and high efcient approach provide a valuable
opportunity to overcome the limitations of the
conventional treatment process by generating
a robust oxidative agent of hydroxyl radicals,
which degrade and mineralize the dye molecules
into their less-toxic forms and harmless inorganic
products such as water or carbon dioxide [20-22].
As seen from the proposed reaction in Equation
1, Fenton’s reagent of Fe2+ and H2O2 generates
the oxidative agents of hydroxyl radicals under
the acidic medium of solution pH less than 3.
The Fe2+ species are generated from the oxidation
of iron anode electrode and reduction of Fe3+
ions through cathodic reaction as described by
Equation 2 [23, 24].
(Fenton’s reaction) (Eq. 1)
(Eq. 2)
In the current work, response surface methodology
(RSM) was employed as a computational approach
to optimize the removal efciency of MB using
the EF process. The effect of main operational
variables, including electrolysis time, MB initial
concentration, H2O2 dosage, and current density
throughout the treatment process, were evaluated,
and the kinetics of the process were studied.
2. Material and methods
2.1. Chemical
All chemicals used in the MB removal study are
analytical (high purity) grade without further
purication. C16H18ClN3S (Methylene blue),
H2O2 (30%, v/v), Na2SO4, H2SO4, and NaOH
were obtained from Merck® Co. (CH3)3COH,
and CH3OH were obtained from Sigma Aldrich®
Co. The investigation samples in this study were
prepared in double-distilled water (DDW).
2.2. EF process system
The Pyrex cylindrical reactor with dimensions
of 9.0 cm (height) × 7.0 cm (diameter) and a
volume capacity of 300 mL was used to carry out
MB removal studies using the EF process. The
iron electrodes with a thickness of 0.1 cm and an
immersed area of 12 cm2 were used as cathode and
anode electrodes. The distance between electrodes
(anode and cathode) was considered constant and
equal to 3.0 cm. In a typical run, MB solution was
degraded in the reactor with 50 mM Na2SO4 as the
supporting electrolyte. The pH of the MB solution
was adjusted to 3.0 by 0.01 M of H2SO4. The rotation
speed was kept at 200 rpm during the experiment.
2.3. Analytical methods
The MB concentration of samples before and after
the treatment process was measured by a UV-
Anal. Methods Environ. Chem. J. 5 (2) (2022) 39-50
41
Vis spectrometer (OPTIZEN 3220 model) at 670
nm [1]. Evaluations for the degradation and MB
removal efciency and total amount of electrical
energy consumption (kWh m-3) were calculated
from the Equation (3) and (4) [25-27]:
(Eq. 3)
(Eq. 4)
where C0 (MB concentration before EF process;
mg L–1), Ct (MB concentration after EF process;
mg L–1), U (applied voltage; V), I (electrical
current; A), t (electrolysis time; h), and V (volume
of sample;L).
2.4. Application of Response Surface
Methodology
Response Surface Methodology (RSM) is a
widely used mathematical and statistical approach
employed to model, design, and evaluate the
relationship between several independent variables
and responses of the proposed model. The goal
is to optimize the applied reaction in a short
time and reduce the costs of the process. Unlike
conventional methods for data analysis, RSM
analyzes data using simple techniques based on the
mathematical model. In the RSM, to optimize the
studied variables, a polynomial function (often a
quadratic polynomial model) can be used, as given
in Equation 5 [27, 28]
(Eq. 5)
where Y is the predicted response (MB removal
%), k is the number of independent factors, β0,
βi, βii, and βij are the constant, linear, quadratic,
and interaction model coefcients, respectively,
also, Xi, Xj, and ɛ are the independent factors and
the error. Analysis of variance (ANOVA) with a
95% condence interval was used to determine
the signicance of the parameters. In the current
study, the RSM approach was used to investigate
four variables’ effects (initial MB concentration,
H2O2 dosage, current density, and electrolysis time)
and identify the optimal condition for MB removal
using the EF process employing Design-Expert
Software Version 11.0.4.0.
3. Result and discussion
3.1. Development of models and analysis of
variance (ANOVA) using RSM
Table 1 describes the experimental condition of 30
runs designed by RSM and the obtained responses
of the developed model in each run summarized.
The mentioned removal efciencies of MB are the
averages of duplicate runs in each experimental
condition.
Some valuable parameters, including lack of t of
the model, the signicance of linear and interaction
effects of operating variables, and coefcient
of determination, were evaluated by analysis of
variance (ANOVA). As seen in Table 2, the p-value
less than 0.0001 corresponds to the signicant
coefcients.
As seen, the obtained results from ANOVA
analysis conrmed that the developed quadratic
regression model was satisfactorily tted to the
removal efciency of the treatment process with
the F-value of 858. Since the calculated p-value
of the Lack of Fit was less than 0.05, it conrmed
that the lack of t was insignicant, corresponding
to the pure error. The predicted and adjusted R2 of
0.9915 and 0.9958 are in reasonable agreement.
Furthermore, the tted model’s prediction
ability over the experimental condition range is
acceptable due to the obtained predicted R2 of
about 100%. The normality of the residuals was
analyzed and demonstrated in Figure 1(a). As
seen, all the demonstrated data are relatively near
to a straight line with the R2 of 0.9970. Moreover,
the association between the obtained values of
actual removal efciencies and predicted removal
efciencies were revealed in Figure 1(b). As seen,
since the residual results were distributed near
the diagonal line, it can be concluded that the
proposed treatment model successfully predicted
the removal efciencies.
Modeling and determination of methylene blue by UV-Vis Sara Zahedi et al
42 Anal. Methods Environ. Chem. J. 5 (2) (2022) 39-50
Table 1. Experimental values for the removal efciency of MB from the CCD.
Run
order
Actual values Coded values
Removal
(%)
A
(mg L-1)
B
(µL)
C
(mA cm-2)
D
(min) X1X2X3X4
140 387 8.2 5.2 +1 +1 +1 -1 70.6
230 275 6.5 8.5 0 0 0 0 82.9
3 30 275 6.5 8.5 0 0 0 0 84.1
420 387 4.7 11.7 -1 +1 -1 +1 85.2
5 20 162 8.2 11.7 -1 -1 +1 +1 71.0
640 387 4.7 11.7 +1 +1 -1 +1 64.0
7 20 162 8.2 5.2 -1 -1 +1 -1 66.6
8 30 275 10.0 8.5 0 0 +2 0 67.2
9 20 387 4.7 5.2 -1 +1 -1 -1 82.3
10 10 275 6.5 8.5 -2 0 0 0 99.8
11 30 500 6.5 8.5 0 +2 0 0 77.1
12 30 50 6.5 8.5 0 -2 0 0 41.3
13 30 275 6.5 8.5 0 0 0 0 84.5
14 40 162 8.2 11.7 +1 -1 +1 +1 59.3
15 20 162 4.7 11.7 -1 -1 -1 +1 63.3
16 40 387 8.2 11.7 +1 +1 +1 +1 75.2
17 50 275 6.5 8.5 +2 0 0 0 69.8
18 30 275 3.0 8.5 0 0 -2 0 47.1
19 40 162 4.7 11.7 +1 -1 -1 +1 49.7
20 20 387 8.2 11.7 -1 +1 +1 +1 95.7
21 40 162 4.7 5.2 +1 -1 -1 -1 45.5
22 30 275 6.5 8.5 0 0 0 0 84.1
23 40 162 8.2 5.2 +1 -1 +1 -1 56.1
24 20 162 4.7 5.2 -1 -1 -1 -1 58.6
25 20 387 8.2 5.2 -1 +1 +1 -1 90.9
26 30 275 6.5 8.5 0 0 0 0 83.7
27 30 275 6.5 2.0 0 0 0 -2 67.5
28 30 275 6.5 15.0 0 0 0 +2 79.2
29 40 387 4.7 5.2 +1 +1 -1 -1 61.3
30 30 275 6.5 8.5 0 0 0 0 84.4
43
The regression model developed for the removal
efciency of MB is represented in Equation 6. The
proposed second-order model in the term of coded
factors by eliminating the insignicant terms is
expressed as follows (6):
(Eq. 6)
Here, X1 represents initial MB concentration, X2
is H2O2 dosage, X3 is current density, and X4 is
electrolysis time. As seen, the intensity of each
particular variable on the removal efciency as the
response of the proposed model is identied by the
related magnitude of each variable’s coefcient. Each
coefcient’s positive or negative value indicates
the synergistic or antagonistic effect of the related
variable on the response. As seen, the coefcients
Inte rnally Stude ntiz ed Re s iduals
Normal % Probability
Actual (%)
Predict (%)
100
90
80
70
60
50
40
30
30 40 50 60 70 80 90 100
-3.0 -2.0 -1.0 0.0 +1.0 +2.0 +3.0
(a)
(b)
Table 2. ANOVA of the tted polynomial model.
Source Sum of
Squares
Degree of
freedom (df)
Mean
square F-value p-value
Model 6580 8 822 858 < 0.0001
X11535 11535 1602 < 0.0001
X22142 12142 2237 < 0.0001
X3555 1 555 579 < 0.0001
X4125 1 125 130 < 0.0001
X1X272 1 72 76 < 0.0001
X2
21087 11087 1135 < 0.0001
X3
21276 1 1276 1332 < 0.0001
X4
2204 1204 214 < 0.0001
Residual 20 21 0.96 - -
Lack of Fit 18 16 1.15 3.54 0.0840
Pure Error 1.6 5 0.33 - -
Core Total 6600 29 - - -
Mean: 71.65 R2: 0.9970
Coefcient of Variance: 1.37% Adj.R2: 0.9958
Standard Deviation: 0.98 Pred. R2: 0.9915
Fig. 1. (a) Normal probability plot of studentized residuals,
(b) Predicted removal efciencies vs. experimental removal efciencies.
Modeling and determination of methylene blue by UV-Vis Sara Zahedi et al
44
of X2 (H2O2 dosage), X3 (current density), and X4
(electrolysis time) are all positive. Moreover, it can
be concluded that the variables of X1 and X2 with
much larger coefcients play more signicant roles
in MB’s removal efciency as the model’s response.
3.2. Effect of parameter on the MB removal
efciency
In the present study, the effect of initial MB dye
concentration on removal efciency using the EF
process was investigated. As Figure 2 shows, the
initial MB dye concentration is inversely related to
the MB removal efciency, when increasing the initial
MB dye concentration from 10 mg L-1 to 500 mg
L-1, and removal efciency decreases from 99.8% to
68.2%. This phenomenon can be due to the decrease
in the ratio of oxidant agents to MB dye molecules.
For example, if all the parameters studied in the EF
process, are constant (at high MB dye concentrations),
the number of dye molecules is greater than the
oxidizing agents. Therefore, the number of oxidizing
agents is insufcient to remove high concentrations
of the dye molecule, and consequently, the removal
efciency decreases [29, 30].
Optimizing the amount of H2O2 in all treatment
methods in which H2O2 plays a key role is
very important because it affects the removal
efficiency, the management of the treated
effluent, and the cost. The effects of H2O2 dosage
in the range of 50-500 µL on MB removal were
investigated at the initial MB concentration of 30
mg L-1, the current density of 6.5 mA cm-2, and
electrolysis time of 8.5 min, the result is shown
in Figure 3 the obtained results show that the
increase in degradation percentage from 40.7%
to 78.1% whenever H2O2 increased from 50 to
500 µL, at the initial MB concentration of 30
mg L-1, the current density of 6.5 mA cm-2, and
electrolysis time of 8.5 min.
Excess concentration of H2O2 causes the
spontaneous auto composition of H2O2to H2O
and O2 molecules through Equation(7), as well
as the decomposition of OH, produced during
the EF reaction to radicals with lower oxidation
strength (HO2
ions) according to Equation (8)
and (9) which reduces the removal efficiency
[31, 32].
Anal. Methods Environ. Chem. J. 5 (2) (2022) 39-50
10 20 30 40 50
Curre nt De nsity (mA cm
-2
)
Initial MB Concentration (mg L
-1
)
Fig. 2. Contour plots of the initial MB concentration and current density.
45
(Eq. 7)
(Eq. 8)
(Eq. 9)
Current density is one of the most effective
parameters that affects the kinetic rate and removal
efciency. Increasing the current density more than
the optimal value causes more electrical energy
consumption and heat generation and consequently
adverse effects on the removal process, so its value
must be optimized. Due to the importance and
inuence of current density in the EF process, the
effect of applied current density was studied in the
range of 3-10 mA cm-2. The removal of MB dye
depended on the current density.
The increase in current density from 2 to 5.5 mA
cm-2 offered faster MB dye degradation (MB
removal efciency of 47.5% to 66.9%). Increasing
the dye removal efciency with increasing current
density can be attributed to the fact that increasing
the current density increases the amount of iron
generated by the anode electrode. The increase in
removal and degradation rates from 3 mA cm-2 to
the optimum value of 7.0 mA cm-2 can be related to
the acceleration of Fenton’s Reaction (Equation1).
Therefore, increasing the concentration of Fe2+
produced could lead to an increase in OH generated
through (Equation 1). These OH generated reacts
immediately with the MB dye, increasing the MB
removal efciency.
However, more than the optimal value of current
density leads to a decrease in the MB removal
efciency in the EF reactor. This negative effect
is due to the role of Fe2+ as the scavenger of OH
(Equation 10) [32, 33]. Hence, 7.0 mA cm-2 was
selected as the optimal value of current density.
(Eq. 10)
The effect of electrolysis time in the range of 2-15
min on MB removal was studied (Fig. 4). According
to the results; MB removal efciency was directly
related to electrolysis time, so with increasing
electrolysis time, the removal efciency increases.
From the start EF process until 9 min after electrolysis
time, due to in presence of sufcient H2O2 and
Fe2+, a large number of hydroxyl radicals (OH) are
generated according to the Fenton’s reaction, which
Removal (%)
Fig. 3. 3Dplot of the initial MB concentration and H2O2 dosage.
Modeling and determination of methylene blue by UV-Vis Sara Zahedi et al
46
subsequently leads to the MB dye degradation and
increased removal efciency. As the electrolysis
time increases, the concentration of H2O2 in the
electrochemical reactor decreases until the reactor
is free of H2O2, consequently, the Fenton’s reaction
slows down and eventually stops [34].
3.3. Optimization process
The optimization process was carried out over the
upper to lower limits of each operating parameters
value to determine the best treatment condition
for maximum MB removal at a reasonable cost.
The highest MB removal efciency of 98.3% was
predicted at the optimum condition of initial MB
concentration of 20 mg L-1, H2O2 dosage of 400 μL,
the current density of 7.0 mA cm-2, and electrolysis
time of 10 min, which was in good accordance with
the obtained experimental MB removal efciency.
3.4. Kinetic model of hydroxide radical assisted
EF process
The kinetic studies of the treatment process
revealed that hydroxyl radical reaction with
MB contaminant follows the pseudo-rst-order
reaction, which indicates that OH directly attacked
the contaminant molecules. The hydroxyl radicals
are generated and consumed continuously at a
similar rate to provide a steady-state concentration
of active radicals throughout the treatment process.
The apparent constant rate of Kapp could be evaluated
by the pseudo-rst-order reaction equation and
corresponds to the slope of demonstrated plot
in Figure 5, with the value of 0.3753 min-1 [35].
Figure 5 revealed the variation of Ln (C0/Ct) in
the function of time during the 15 min treatment
process with the initial concentration of MB 20 mg
L-1, the current density of 7.0 mA cm-2, and H2O2
dosage of 400 µL L-1.
4. Conclusion
Herein, to achieve an economical treatment
process for the efcient removal of MB, the
response surface methodology was employed. The
analysis of variance (ANOVA) at the condence
level of 95% was carried out to evaluate the
signicance of the independent variables and their
interactions. The obtained results revealed that the
initial MB concentration and H2O2 dosage affected
the removal efciency signicantly. The obtained
experimental removal efciency of 95.8% by the
EF process was in satisfactory agreement with
the predicted removal efciency of 98.3% by the
Anal. Methods Environ. Chem. J. 5 (2) (2022) 39-50
Removal (%)
Fig. 4. The 3D plot of the current density and electrolysis time effects on the MB removal efciency
47
developed quadratic regression treatment model.
The kinetic analysis showed that the applied
treatment process followed a pseudo-rst-order
model.
5. Acknowledgements
The authors would like to express their appreciation
to the student research committee of Kerman
University of Medical Sciences [Grant number
400000747] for supporting the current work.
Funding: This work received a grant from the
Kerman University of Medical Sciences [Grant
number 400000747].
Conict of interest: The authors declare that they
have no conict of interest regarding the publication
of the current paper.
Ethical approval: The Ethics Committee of
Kerman University of Medical Sciences approved
the study (IR.KMU.REC.1400.510).
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