Anal. Method Environ. Chem. J. 4 (1) (2021) 46-57  
Research Article, Issue 1  
Analytical Methods in Environmental Chemistry Journal  
AMECJ  
Simultaneous adsorption of cationic and anionic dyes using a  
novel multifunctional mesoporous silica  
Amir Vahid a,*, Majid Abdouss b, Shahnaz Nayeri b, Aliakbar Miran Beigi a  
a Research institute of petroleum industry, Tehran, Iran  
b Faculty of chemistry, Amirkabir University of Technology, Tehran, Iran  
A R T I C L E I N F O :  
Received 17 Nov 2020  
Revised form 22 Jan 2021  
Accepted 15 Feb 2021  
A B S T R A C T  
In the present work a multifunctional nanoadsorbent was synthesized  
via a well-designed stepwise route, led to the grafting of an amine  
group on the interior and acidic sites on the exterior of bimodal  
mesoporous silica nanoparticles (UVM-7). First, amine and thiol  
groups were grafted on the interior and exterior pores of silica  
through co-condensation and post synthesis treatment, respectively.  
Then, the oxidation of thiol on UVM-7 caused to create sulfonic  
acid and the subsequent template extraction was carried out to obtain  
the NH2/UVM-7/SO3H. The results of XRD, the nitrogen sorption,  
SEM, TEM, FT-IR and elemental analysis revealed the presence  
of both types of functional groups on UVM-7. Then, simultaneous  
adsorption of anionic and cationic dyes (Methylene Blue [MB] and  
Direct Red 23 [Dr]) using NH2/UVM-7/SO3H was investigated. UV-  
Vis spectrophotometry was utilized for the determination of dyes in  
single and binary solutions. Langmuir and Freundlich models were  
used for the fitting of obtained experimental adsorption data and the  
constants of both isotherms were calculated for MB and Dr. Morover,  
the calculation of thermodynamic parameters revealed that the  
adsorption of MB and Dr on NH2/UVM-7/SO3H was endothermic  
and spontaneous. Furthermore, the simultaneous adsorption of both  
dyes regardless of their different electrostatic charge is the main  
characteristics of NH2/UVM-7/SO3H which was specially used for  
treatment of industrial wastewater.  
Available online 29 Mar 2021  
------------------------  
Keywords:  
Adsorption,  
Multi-Functional,  
Dye,  
Mesoporous silica,  
Synthesis.  
Methylene Blue (MB) and Direct red (Dr) as the  
1. Introduction  
cationic and anionic dyes have harmful effects on  
human life and environment. Acute exposure to  
MB causes many health effect such as increased  
heart rate and cyanosis jaundice quadriplegia in  
mammals [2,3]. Up to now, the dye adsorption  
studies have focused on solutions containing single  
dye and mixture of dyes [4-6]. The most industrial  
effluents include a mixture of several dyes, so it  
is necessary to study the simultaneous adsorption  
of two or more dyes from aqueous solutions [7,8].  
However, the dyes are resistance to biodegradation  
due to their aromatic structure [9]. Many industrial  
Dyes as a important raw material were used in  
different industries including cloth, plastics,  
tanning, cosmetics and food [1]. Additionally, the  
dyes are one of the most problematic groups as a  
results of their environmental impact. Furthermore,  
the industrial effluents containing dyes may be  
have a carcinogenic effect in humans when,  
discharge to waters without any proper treatment.  
*Corresponding Author: Amir Vahid  
Email: avahid753@gmail.com & vahida@ripi.ir  
Adsorption of dyes by multifunctional mesoporous silica  
Amir Vahid et al  
47  
technologies, including chemical oxidation [10],  
adsorption [11], the coagulation/flocculation [12],  
the membrane separation and ion exchange [13]  
was used for the adsorption of dyes from industrial  
effluents. Among them, adsorption has been  
known as one of the practical physical processes  
for the treatment and cleaning of wastewaters,  
because it is cost effective and very effective. The  
main problem of this technology is the synthesis of  
low cost adsorbent possesses with high adsorption  
capacity [14]. In multi-dye adsorption, the  
interference of one dye on the other dyes is very  
important [15]. The liquid chromatography [16],  
the capillary electrophoresis [17], the spectrometry  
[18] and the electrochemistry methods [19] are  
used for the analysis of dyes. Due to advantages  
of UV–Vis spectrophotometry such as accuracy  
of results, sensitivity, low cost, easy operation  
and reproducibility, it was used for analysis of  
colored samples [20]. The main drawback of this  
technique is the overlap and interference of broad  
absorption peaks. So, the simultaneous analysis of  
mixture dyes could be carried out using derivative  
spectrophotometry [21]. It was determined based  
on the derivative values of interest compound  
while other components have zero value [22].  
Also, many applications were used by UVM-  
7 in different sciences [23-26]. In this work, the  
synthesis of a multifunctional mesoporous silica  
contains both acidic and basic functional groups  
were reported. At the second step, the adsorption  
of MB / Dr from aqueous solution was carried out  
simultaneously and the adsorption phenomenon  
was studied.  
2. Experimental  
2.1. Reagents and materials  
All reagents with ultra-trace analytical grade such  
as; lead nitrate salt, acids and base solutions were  
purchased from Merck (Darmstadt, Germany). The  
structure of MB and Dr are shown in Figure 1.  
Ultrapure water has been obtained from Millipore  
continental water system (Bedford, USA).  
Tetraethyl orthosilicate (TEOS, (CHO)Si,  
CAS N: 78-10-4, Sigma), triethanolamine  
(TEAH3, CH₁₅NO, CAS N: 102-71-6, Sigma),  
cetyltrimethylammonium  
bromide  
(CTAB,  
C₁₉H₄₂BrN, CAS N: 57-09-0, Merck) and other  
reagents with analytical grade were prepared from  
Merck or Sigma Aldrich, Darmstadt, Germany.  
The pH adjustments were made using appropriate  
buffer solutions (Merck, Germany).  
Fig.1. The structure of MB(a) and Dr(b)  
Anal. Method Environ. Chem. J. 4 (1) (2021) 46-57  
48  
2.2. Synthesis of UVM-7  
spectrophotometer at 502 and 664 nm for Dr and  
MB, respectively. In binary solution, the best  
wavelength for each dye was find out utilizing first-  
order derivative spectrometry.  
UVM-7wassynthesizedviawell-knownatraneroute  
in which triethanol amine (TEAH3), has effect on  
the rate of hydrolysis and condensation of teraethyl  
orthosilicate (TEOS). In a typical synthesis, mixture  
of TEOS and TEAH3 heated up to 120 °C and then  
CTAB (cetyltrimethylammonium bromide) was  
added when the temperature of the solution reached  
to 70°C. After addition of water a suspension was  
formed and aged for 4 hours at ambient temperature.  
The final molar composition of the synthesis mixture  
was 1.0 TEOS : 3.5 TEAH3 : 0.25 CTAB : 90 H2O.  
The product was filtered, washed with water and  
acetone and dried in an oven at 80°C overnight and  
calcined at 550°C for 6 hours.  
The adsorption percentage (R%) and adsorption  
capacity of each dye qe, (mg dye/g adsorbent) was  
calculated according to the following equations  
(Eq.1 and Eq.2):  
(
V
C0 Ce)  
=
q
e
M
(Eq. 1)  
(
C0 Ce)  
R% =  
×100  
C0  
2.3. Synthesis of NH2- /UVM-7/SO3H  
(Eq. 2)  
First, 1.0 g of aminopropyle triethoxysilane  
(APTES) was added to the aqueous solution of  
CTAB and after 5 minutes, mixture of TEOS and  
TEAOH, was added to the micellar solution. The  
reactants molar ratio was 1.0 TEOS: 3.5 TEAH3  
: 0.25 CTAB : 90 H2O: 0.20 APTES. After aging,  
the white suspension was filtered and washed  
thoroughly with water and acetone. The white  
precipitate dried in oven over night at 80 °C. At the  
second step, 1.0 g of the as-synthesized NH2/UVM-  
7 and 1.0 g of triethoxysilane propanethiol (TPTES)  
was refluxed in 50 mL of toluene for 12 hours and  
then, the mixture filtered and dried in oven again.  
Then, thiol groups grafted on the external surface  
of the sample was oxidized in 15% H2O2 and 1  
molar solution of H2SO4. Then, CTAB of the as-  
synthesized NH2/UVM-7/SO3H was removed by  
reflux in 1 molar ethanolic solution of HCL for 24  
hours to get access to the internal pores and amine  
groups. The final product was dried in oven at 80  
°C in vacuum oven overnight.  
Where C0 and Ce (mg L-1) are the initial and  
equilibrium concentration of dye, respectively. V  
(L) is the volume of the solution and M (g) is the  
mass of adsorbent used.  
2.5. Characterization  
X-ray diffraction (XRD) patterns were recorded  
using a Philips 1840 diffractometer using nickel-  
filtered Cu Kα (1.5418˚ A) X-ray source, operating  
at 35.4 kV and 28 mA. Textural properties of the  
synthesized samples were measured by nitrogen  
adsorption at 77 K using a BELSORP-max  
apparatus after being out-gassed in vacuum at 120  
°C. ElementalanalysiswascarriedoutusingCHNS-  
Elementar. FT-IR spectra was recorded using a FT-  
IR 70 VERTX Bruker spectrophotometer using  
KBr powder. UV–Vis spectrophotometer was used  
to measure the concentration of the Methylene  
Blue and Direct red23 in aqueous solution. FE-  
SEM images were captured using Mira TESCAN  
3-XMU. Samples were sputtered with gold prior  
to imaging. TEM images were recorded at 150 kV  
operating voltage using a Zeiss microscope.  
2.4. Batch adsorption procedure  
In each test, 0.1 g of adsorbent was added to the 10  
mL of a solution containing a known concentration  
of each dyes while agitating at 250 rpm at 25 °C.  
After 120 minutes the concentration of residual  
dyes in supernatant was determined by UV–Vis  
3. Results and discussion  
3.1. Characterization of NH2/UVM-7/SO3H  
XRD pattern of NH2/UVM-7/SO3H is shown in Figure 2.  
Adsorption of dyes by multifunctional mesoporous silica  
Amir Vahid et al  
49  
A strong and broad diffraction peak can be observed  
which is characterized in bimodal meso/macroporous  
material. This peak can be attributed to diffraction of  
incident X ray from the d100 plane. According to the  
hexagonal symmetry, two weak and broad peaks at  
higher diffraction angles can be assigned to d110 and  
overlap of d200 and d210 planes, respectively.  
pressure, the inflection is not sharp. By approaching  
to the saturated relative pressure, increasing of gas  
uptake led to the sharp increasing of isotherm. This  
can be attributed to the inter particles of UVM type  
material which is also present in NH2/UVM-7/  
SO3H after internal and external grafting of organic  
moieties. The high BET surface area and pore  
volume means that the pore structure/size almost  
preserved after grafting. However, after grafting  
of organic moieties on UVM-7, the sharpness of  
these region slightly decreases. The two inflections  
in NH2/UVM-7/SO3H can be attributed to the  
presence of two types of pore system.  
3.2. Nitrogen physisorption  
The isotherms of UVM-7 and NH2/UVM-7/SO3H  
is shown in Figure 3. The isotherms showed the  
four type of isotherm according to the IUPAC  
classification. In both isotherms, at low relative  
Fig. 2. The XRD pattern of NH2/UVM-7/SO3H  
Fig. 3. The isotherms of UVM-7 and NH2/UVM-7/SO3H  
Anal. Method Environ. Chem. J. 4 (1) (2021) 46-57  
50  
Fig.4. The SEM of NH2/UVM-7/SO3H  
Fig.5. The TEM of NH2/UVM-7/SO3H  
3.3. TEM and SEM  
FT-IR spectra of SO3H/UVM-7/NH2 is shown in  
Figure 6. FT-IR spectroscopy was utilized to indicate  
the existence of NH2 and SO3H functional groups  
on the UVM-7. Two distinct peaks around 457 cm-1  
and 1082 cm-1 is attributed to the symmetric and  
asymmetric stretching bands of Si-O-Si group in the  
framework of UVM-7. A broad peak at around 3451  
cm-1 is assign to the silanol groups on the surface  
of UVM-7. A small absorption band at 1558 cm-1 is  
attributed to the bending vibration of amine group  
which overlapped with symmetric bending vibrations  
of O-H. A stretching mode of NH2 is also overlapped  
with silanol group’s around 3451 cm-1. This indicates  
that the UVM-7 possess of NH2 groups. A shoulder,  
overlapped with asymmetric stretching of Si-O-Si,  
Electron microscopy is a powerful technique  
provides a direct view of porous structure, particle  
morphology and many other information of  
porous materials at nanoscale. The SEM of NH2/  
UVM-7/SO3H reveals the particle size, shape and  
morphology of nanomaterials. Figure 4 illustrates  
the SEM image of NH2/UVM-7/SO3H. The sample  
composed of nanosize particles without presence of  
large agglomerates. The shape of the nanoparticles is  
almost irregular. The TEM image of the NH2/UVM-  
7/SO3H is taken perpendicular to d100 direction of  
pores and is displayed in Figure 5. Pore openings are  
clearly visible. Particle size in sub-ten nanometers  
and is in agreement with those seen in SEM image.  
Fig. 6. The FT-IR spectra of SO3H/UVM-7/NH2  
Adsorption of dyes by multifunctional mesoporous silica  
Amir Vahid et al  
51  
is attributed to the SO3- and S=O stretching mode  
of sulfonic acid functional group. It cannot be seen  
absorption mode of S-H group in the entire spectrum  
means that thiol groups were fully oxidized to  
sulfonic acid. Two small absorption peaks at 2852  
cm-1 and 2926 cm-1 is characteristic of the stretching  
vibration mode of methylene groups of the propyl  
chain of the APTES and TPTES.  
These results proof presence of amine and sulfonic  
acid functional groups on NH2/UVM-7/SO3H.  
3.4. Determination of MB and Dr in single and  
binary solution  
The calibration curve obtained from absorbance  
spectra of MB and Dr versus concentration at λmax of  
the corresponding dye and used for the determination  
of dyes in single solution. The concentration of dyes  
in binary solution of MB and Dr is obtained by first  
order derivative spectrophotometry by plotting the  
change rate of absorbance against wavelength. The  
obtained spectra for raw and derivative spectra are  
displayed in Figure 7a and 7b.  
These results approve coexistence of amine and  
sulfonic acid groups on UVM-7 simultaneously.  
This statement is supported by elemental analysis  
of NH2/UVM-7/SO3H. Elemental analysis of NH2/  
UVM-7/SO3H revealed that the sample contains  
4.9% (w/w basis) of nitrogen and 5.0% of sulfur.  
Fig. 7a. The Raw absorption spectra of: MB (20 mg L-1), Dr (15 mg L-1),  
and their mixture at λmax of the corresponding dye  
Fig. 7b. The first derivative spectra of MB, Dr, and their mixture  
by plotting the change rate of absorbance against wavelength  
Anal. Method Environ. Chem. J. 4 (1) (2021) 46-57  
52  
The calibration curves for determination of each  
dye in the presence of the other one were obtained  
by measuring of first-order derivative at the zero  
crossing points of Dr (502 nm) and MB (664nm)  
[27, 28]. Several standard binary mixtures of MB  
and Dr were used for the validation of the method.  
The regression equations and coefficients of  
determinations, are given in Table 1.  
isotherm was higher than that of Freundlich, which  
implies that suggestions of Langmuir model. The  
homogenous adsorption sites, equal activation  
energy and monolayer formation, is predominantly  
determine the mechanism of adsorption. The  
isotherm constants are presented in Table 2.  
(Eq. 3)  
(Eq. 4)  
3.5. Equilibrium modeling  
3.5.1.Single-component adsorption isotherm  
Two well-known adsorption model, Langmuir and  
Freundlich, were applied to the adsorption data of  
single-component dye solution (Equation 3 and  
4) [29, 30]. In single solution, the R2 of Langmuir  
3.5.2. Multi-component adsorption isotherms  
In this case, competition for occupation of  
adsorption sites by adsorbate molecules occur and  
Table 1. Determination of MB and Dr in mixture solution using zero-derivative  
and first-derivative spectrophotometry  
Solution No.  
*MB(mg L-1)  
*Dr (mg L-1)  
a Regression equations  
R2  
1
2
1-5  
0
S = 0.008C+0.1841  
B = 0.0015C+0.002  
S = 0.0471C+0.021  
B = 0.0001C-0.0006  
0.9981  
0.9890  
2-20  
10  
3
4
0
2
1-10  
0.9974  
0.9963  
10-25  
*C is the concentration of the corresponding dye(mg L-1)  
aS and B is the response in single and binary solution  
Table 2. Parameters of Langmuir and Freundlich models in single and binary solutions.  
Langmuir  
MB(sin)  
qe(mg g-1)  
52.63  
b(mg L-1)  
0.226  
0.0983  
0.0096  
0.1315  
n
R2  
0.987  
0.996  
0.876  
0.977  
Dr(sin)  
88.33  
MB(bin)  
18.86  
Dr(bin)  
100  
Frendlich  
MB(sin)  
Kf(mg g-1)  
0.0272  
3.412  
3.984  
2.32  
0.947  
0.950  
0.958  
0.806  
Dr(sin)  
23.28  
MB(bin)  
98.24  
Dr(bin)  
172.60  
5.29  
Extended-Langmuir  
MB(bin)  
qmax (mg g-1)  
74.32  
b1  
b2  
R2  
0.0021  
0.0043  
0.0038  
0.0056  
0.999  
0.998  
Dr(bin)  
106.78  
Condition: 10 mL solution, pH: 4 in single and binary solutions.  
Adsorption of dyes by multifunctional mesoporous silica  
Amir Vahid et al  
53  
led to a complex adsorption model. Furthermore,  
for the design of treatment/refining systems,  
understanding the mechanism of multi-component  
adsorption is very important. Despite the difficulty  
of obtaining of a model for adsorption of binary  
widely used to explain kinetic of adsorption. The  
model was described by the following Equation 6:  
1
1
1
= k1  
(Eq. 6)  
q q ( ) + q  
t
t
e
e
mixtures,  
extended-Langmuir  
model  
was  
developed to explain equilibrium adsorption model  
in such system is as Equation 5:  
Where qe and qt are the adsorption capacities (mg g-1)  
at equilibrium and at time t, respectively. K1 is the rate  
constant of pseudo-first order adsorption (L min-1).  
The pseudo-second order rate equation of McKay and  
Ho can be represented in the Equation 7.  
q
i bi ci  
=
×100  
q
(Eq. 5)  
e.i  
1+ bj cj  
Using non-linear regression technique, parameters  
of Equation 5 were obtained given in Table 2. High  
regression coefficients (R2: 96.98–99.86) indicate  
that the extended Langmuir model has the ability  
to explain the adsorption equilibrium of binary  
solution of MB and Dr.  
t
1
1
(Eq. 7)  
=
t
q
+ q  
q2  
k2  
t
e
e
Where qe is the equilibrium adsorption capacity,  
and K2 is the pseudo-second order constants  
(g mg-1.min-1). These terms can be determined  
experimentally from the slope and intercept of plot  
t/qt versus t, shown in Figure 8. The coefficients  
of both models are shown in Table 3. In all cases  
including single and binary solutions, the pseudo-  
second order model has better coefficient of  
determination, R2, which means that kinetic of  
adsorption od MB and Dr on NH2 /UVM-7/SO3H  
can be explained by The difference between two  
kinetic model can be attributed to the number and  
accessibility of adsorption sites, specific surface  
area, pore size, nature of the functional groups of  
adsorbent and chemical structure of dyes.  
3.6. Adsorption kinetic  
The kinetic data of adsorption was obtained with  
the initial concentrations of 50 mg L-1 and 100 mg  
L-1 for MB and Dr, respectively. Solutions prepare  
in 25 mL flask with the stirring rate of 300 rpm and  
the contact time was changed in the range of 10  
to 120 minutes. to evaluate if there are changes/  
interferences in the adsorption process in the  
presence of other dyes in the solution.  
3.6.1. Pseudo-first order model  
The pseudo- first order kinetic model has been  
Table 3. Kinetics parameters values for the adsorption of MB and Dr on NH2-SO3H/UVM-7  
in single (sin) and binary (bin) dyes solution  
Pseudo-first order  
qe(mg g-1) K1(min) R2  
Pseudo-second order  
qe(mg g-1) K2(g mg-1.min-1)  
R2  
MB(sin)  
Dr(sin)  
40  
3.7  
2.43  
2.142  
1
0.867  
0.765  
0.876  
0.765  
50  
0.0012  
0.372  
0.962  
0.983  
0.934  
0.826  
4.3  
5.26  
12.98  
90.9  
MB(bin)  
Dr(bin)  
15.87  
66.66  
0.082  
0.00068  
Anal. Method Environ. Chem. J. 4 (1) (2021) 46-57  
54  
Fig. 8. The effect of pretreatment pH on selective adsorption of MB (a)  
and Dr (b) on NH2-SO3H/UVM-7 in binary solution (temperature 30◦C, 400 mgL-1 initial dye concentration).  
3.6.2. Selective adsorption of cationic and  
anionic dyes  
is temperature in Kelvin. The apparent equilibrium  
constant (Kc) of the adsorption is defined as  
Equation 9.  
Figure 8 displays that NH2/UVM-7/SO3H can  
selectively adsorb the anionic Dr from the Dr/MB  
mixture and pretreated at pH=5. While, the NH2/  
UVM-7/SO3H can selectively adsorb the cationic  
MB dye from the Dr/MB mixture and pretreated at  
pH=10. This test verifies with the easy, the special  
treatment and selective adsorption of cationic or  
anionic dyes by NH2-SO3H/UVM-7.  
ca  
= cb  
(Eq. 9)  
kc  
Where Ca and Cb is the equilibrium concentration  
(mg L-1) a of corresponding dye on the adsorbent  
and in the solution, respectively. The Kc value is  
used in the Equation 10 to determine the Gibbs free  
energy of adsorption (ΔG).  
3.6.3. Thermodynamic studies  
The effect of temperature on the adsorption  
of MB and Dr onto NH2/UVM-7/SO3H was  
investigated. The obtained results indicate that  
the amount of equilibrium adsorption (qe) of  
MB and Dr on the NH2/UVM-7/SO3H slightly  
increases with increasing temperature which  
reveals the endothermic nature of adsorption. Main  
thermodynamic parameters including standard free  
energy (ΔG), enthalpy (ΔH) and entropy (ΔS) were  
obtained using Equation 8.  
(Eq. 10)  
Furthermore, ΔH and ΔS were calculated from the  
slope and intercept of the linear plot of lnKc versus  
1/T, respectively. The obtained thermodynamic  
parametersaresummarizedinTable4.AllΔGvalues  
are negative which imply that the spontaneous  
nature of adsorption. Furthermore, the value of  
ΔG becomes more negative with increasing of  
temperature, indicating that the adsorption process  
is more favorable at higher temperature. As can be  
seen in Table 4, the positive value of adsorption  
enthalpy, ΔS, confirms the endothermic nature the  
adsorption process.  
(Eq. 8)  
Where R is gas constant (8.314 Jmol-1K-1) and T  
Adsorption of dyes by multifunctional mesoporous silica  
Amir Vahid et al  
55  
Table 4. Values of thermodynamic parameters for dye adsorption  
from binary solution onto NH2/UVM-7/SO3H  
Dye  
Temp.(K)  
ΔG(kJ mol-1)  
ΔH(kJ mol-1)  
ΔS(kJ mol-1 k-1)  
298  
-2.95  
8.1  
0.038  
308  
318  
328  
298  
308  
318  
328  
-3.21  
-3.43  
-3.98  
-4.83  
-5.82  
-6.98  
-7.83  
MB  
26.3  
0.106  
Dr  
4. Conclusions  
6. References  
InThis work, a novel synthesis method was developed  
for the preparation of an adsorbent contains both  
sulfonic acid and basic amine groups in the exterior  
and interior pores of UVM-7, respectively. This  
multifunctional adsorbent, NH2/UVM-7/SO3H, can  
be used for simultaneous removal of multiple dyes  
with different electrostatic charge. In real aqueous  
sample and wastewater there are several dyes which  
differ in their nature. Furthermore, one of the most  
effective parameters in the removal of dye is its  
electrostatic charge. On the other hand, large pore size  
and surface area of UVM-7 can improve the diffusion  
of the dye toward the adsorption sites. This improved  
diffusion rate can be accompanied by small size of the  
adsorbent particles, UVM-7, to improve adsorption  
yield. However, it would be very useful in terms of  
industrial point of view, to have a single adsorbent to  
remove a variety of pollutants. The proposed method  
can be applied to use a variety of adsorbents and open  
us a way for treatment of wastewaters which normally  
contain many types of pollutants.  
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5. Acknowledgments  
The authors would like to thank from Faculty of  
chemistry, Amirkabir University of Technology,  
Tehran, Iran.  
Anal. Method Environ. Chem. J. 4 (1) (2021) 46-57  
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