pISSN: 2723 - 6609 e-ISSN: 2745-5254
Vol. 5, No. 10, October 2024 http://jist.publikasiindonesia.id/
Indonesian Journal of Social Technology, Vol. 5, No. 10, October 2024 4407
Understanding the production and reduction of barium
sulfate crystals through the use of additives and a controlled
stirring rate
N. Karaman
1
*, R. S. Maulida
2
, N. Fariana
3
, A. P. Bayuseno
4
, Lilik Suprianti
5
Universitas Pembangunan Nasional Veteran, Indonesia
1,2,3,5
, Universitas Diponegoro,
Indonesia
4
*Correspondence
ABSTRACT
Keywords: fecl2; srcl2,
barium sulfate, response
surface methodology.
Barium sulfate crystals are minerals responsible for scaling
in piping systems. Controlling the growth of these crystals
can use additives (FeCl2 and SrCl2) and varying agitation
speeds. The research was to optimize the impact of additives
and agitation speed on the results of crystal form using RSM
through Minitab 19 with Box-Behnken Design. The
optimum conditions using additive FeCl2 at a concentration
of 25 ppm, a stirring speed of 120 rpm for 30 minutes, and a
coefficient of determination (R2) of 90.995 provided 0.4485
gr of barium sulfate crystals. The optimum conditions,
however, used SrCl2 additives at a concentration of 20.2049
ppm and a stirring speed of 459.394 rpm for 30 minutes,
yielding 0.4345 g of barium sulfates with a coefficient of
determination (R2) of 91.41%. The results of crystallizing
barium sulfate without additives appear to be superior to
those obtained with additives in terms of production. In
contrast, additives of FeCl2 and SrCl2 can inhibit barium
sulfate formation, resulting in a reduction in crystal mass.
Introduction
Crystal formation is a mineral scaling product crystallized in the industrial world,
particularly in piping systems. Water used in underwater piping systems contains various
types of content, including barium ions and sulfate ions. When the two ions combine,
they form a barium sulfate compound. (Fatra & Suwignyo, 2020). The influence of the
forming agent concentration in the flow system determines crystal formation. The higher
ion concentrations lead to the faster the crystals grow. (Sodikin, 2016). The presence of
these crystals can cause the scale to reduce the inner diameter of the pipe, resulting in
fluid flow obstruction. (Fatra & Suwignyo, 2020).
Additionally, controlling crystal growth can be accomplished by adjusting additives
and stirring speed. This additive can inhibit crystal growth. According to (Karaman,
Mangestiyono, Muryanto, Jamari, & Bayuseno, 2019), chemical additives can help to
prevent crystal growth. On the other hand, increasing the speed of stirring, according to
Anggrainy (Anggrainy, Bagastyo, & Hermana, 2014), affects the rate of crystal formation
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Indonesian Journal of Social Technology, Vol. 5, No. 10, October 2024 4408
reactions occurring in the system, increasing the size and mass of the particles.
Understanding crystal growth and subsequent controlling crystal product may use
method response surface methodology to determine the optimum response with the
additive concentration and the stirring speed factors. Response Surface Methodology
(RSM) is a mathematical and statistical technique for modeling and analyzing problems
with many variables to optimize responses. (Sartini, Fitriani, & Lubis, 2018). Central
Composite Design (CCD) and Box-Behnken Design are experimental designs frequently
used in research. These designing experiments are more efficient with fewer trials.
(Nurmaya, Sunaryo, Algorithm, & Programming, 2013). Thus, this study investigated
strontium chloride and ferric chloride additives to inhibit crystal growth and controlled
stirring rates affecting the formation of barium sulfate crystals using RSM to determine
the optimal crystal growth conditions.
Furthermore, barium sulfate is an inorganic compound with the chemical formula
BaSO
4
. An insoluble crystallized substance, barium sulfate is odorless and white. Barium
sulfate is non-toxic and non-explosive (Subyakto, 2011). The barium sulfate compound
can precipitate from solutions containing barium chloride and sodium sulfate. The
reaction occurs when barium chloride is mixed with sodium sulfate, resulting in barium
sulfate. (Dera, 2018), as follows:
Na
2
SO
4
+ BaCl
2
2H
2
O NaCl + BaSO
4
+ H
2
O (1)
Naturally, barium sulfate (barite) can crystallize when sulfate ions in seawater
interact with barium ions in the water. (Karaman, Jamari, Bayuseno, & Muryanto, 2017).
The diffusion process of barite crystal growth occurs on the solid surface. Solute
molecules or ions diffuse through the liquid phase to reach the growing crystal surface.
(Pinalia, 2011). Supersaturation is one of the crystallization conditions. In particular, the
use of additives affects the crystallization process. Additives inhibit the barite crystal
growth by combining the structure on the crystal surface and disrupting the addition of
growth units. (J. W. Mullin, 2001). Increasing the concentration of additives reduces the
rate of settling. (Karaman et al., 2019). According to (Dera, 2018), the effect of acid
additives lauric from 10 ppm to 20 ppm on the growth of barium sulfate crystals with a
concentration of 3500 ppm was a decrease in the rate of crystal growth. Here additives of
lauric acid can inhibit crystal growth resulting in a reduced crystal mass. Further factors
that affect the process of crystal formation may include the stirring rate shortens the
distance between particles, which results in more frequent contact and collisions. A higher
stirring speed will also increase the amount of contact between reactants.
Further, (Karaman et al., 2019), investigated the effects of five green inhibitors on
barite crystal growth in flow-induced vibration in a pipe under the influence of varying
vibration frequencies, namely 0, 4, 8, and 10 Hz. After converting these frequencies to
600 rpm, barium crystal growth was significantly reduced, which can serve as a reference
in the present study. The formation of barite crystals was studied using the batch
crystallizer method at 600 rpm for a stirring time of 120 minutes with sampling every 15
minutes (Prayuga, Aruba, & Karaman, 2022). As a result, in this study, the time variable
was used in the design box- Behnken design with an upper limit of 30 minutes and a lower
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limit of 120 minutes. On the other hand, excellent barite crystal formation results were
from a crystallization process with citric acid additive operating at 50°C (Surya &
Intifada, 2011). The higher the water temperature, the more likely crystals form (Samsudi
Raharjo, 2020). This temperature effect is significant in water evaporation, causing the
amount of water in the water to decrease. This mechanism reduces the formation of
crystals. Correspondingly the Box-Behnken Design is an experimental design with the
response surface method selected for this study. Design box-Behnken has advantages
over CCD. The advantage is that this design is more efficient with fewer trial runs,
especially for experiments with 3 or 4 factors (Nurmaya et al., 2013). This design function
built a full quadratic model with only three levels for each predictor variable: the lower
level (-1), the middle level (0), and the upper level (1) (Khamid, Herdiani, & Sirajang,
2017). Accordingly, use the box-Behnken design to determine variable runs used in
research (Figure 1).
Figure 1
Box-Behnken Design
In addition to improving our understanding of how to control barite crystal growth,
these findings will also be useful in the development of chemical additives for controlling
crystal growth.
Method
Materials
Analytical grade powders BaCl
2
, Na
2
SO
4
, SrCl
2
, and FeCl
2
(Merck Germany) were
selected and dissolved in the distilled water used throughout the study. Barium sulfate
crystallization followed according to the reaction described below (Eq. 1). The
concentration of barium sulfate (3500 ppm) was constant in the study with increasing
temperature of the magnetic stirrer by 50 °C. The oven's drying temperature was 100 °C
for 60 minutes. Without the addition of additives for independent variables (0 ppm). Each
additive concentrations (FeCl
2
and SrCl
2
) are 5, 15, and 25 ppm, respectively. Stirring
speeds of 120, 360, and 600 rpm are possible for 30, 75, and 120 minutes. In each
experiment, 31.165 gr BaCl
2
solid and 18.1 gr Na
2
SO
4
were dissolved in 5 L water to
achieve brine concentrations of 3500 ppm barium and sulfate. A crystal-forming solution
was made by adding SrCl
2
and FeCl
2
additives.
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Indonesian Journal of Social Technology, Vol. 5, No. 10, October 2024 4410
Table 1
Determination of variables in research with Box-Behnken Design method (BBD)
Run
Code
Test
X
1
X
2
X
3
Mixing Speed
(rpm)
Time
(minutes)
1
-1
1
0
600
75
2
-1
0
1
360
120
3
-1
0
-1
360
30
4
1
-1
0
120
75
5
0
-1
-1
120
30
6
0
0
0
360
75
7
-1
-1
0
120
75
8
0
0
0
360
75
9
0
-1
1
120
120
10
1
1
0
600
75
11
0
0
0
360
75
12
1
0
-1
360
30
13
0
1
1
600
120
14
0
1
-1
600
30
15
1
0
1
360
120
Experiments
In 100 ml burettes, place two different materials between barium chloride and
sodium sulfate. Stirring temperature and speed were controlled by predefined variables.
The filtrate was then screened and the precipitate was filtered before being dried in an
oven for 60 minutes and weighed. Furthermore, when it reaches the executed time
variable, the process is repeated with other additives with predetermined variables. The
research data were collected and analyzed using an RSM approach.
Method
The mass of barium sulfate crystals was as experimental data. The barium sulfate
mass results will then be analyzed with the Response Surface Methodology (RSM) in
Minitab 19 software to determine optimal results with the Box Behnken Design (BBD).
Table 1 shows the design results for the box-Behnken design.
Results and Discussion
Barium sulfate crystals without adding additives
The experimental data obtained in the experiments is the mass of barium sulfate
crystals. The results of the barium sulfate mass will then be analyzed using the Response
Surface Methodology (RSM) in Minitab 19 software with the Box-Behnken Design
(BBD). The analysis was to determine the best results for the effect of additive
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concentration, stirring speed, and stirring time on the recovery of barium sulfate crystals
to obtain the lowest crystal deposits.
Despite varying stirring rates and times, mass crystals weighing up to 0.54 gr were
in the yield of barite crystal without chemical additives in Table 2.
Table 2
Crystal recovery without additives
Concentration
(ppm)
Time
(minutes)
Mixing Speed
(Rpm)
Mass Crystal (gr)
0
30
120
0,5247
360
0,5420
600
0,5334
75
120
0,5287
360
0,5403
600
0,5421
120
120
0,5392
360
0,5491
600
0,5545
Figure 2
Relationship Between Stirring Time (Minutes) and Stirring Speed (Rpm) on the Mass of
Barium Sulfate Crystals (gr)
According to Figure 2, the mass of barite crystals (BaSO
4
) obtained increases as the
stirring time and speed are increased. This research aligns with the study by (Anggrainy
et al., 2014) The longer the stirring, the more nuclei form, and the sample solution
becomes increasingly turbid. Increasing the stirring speed affects the speed of crystal
formation reactions in the system, causing the particle size and mass to increase.
0,52
0,525
0,53
0,535
0,54
0,545
0,55
0,555
0,56
0 200 400 600 800
Mass of Barium Sulfate (gr)
Stirring Speed (Rpm)
30
minute
Stirring Time
(Minutes)
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Indonesian Journal of Social Technology, Vol. 5, No. 10, October 2024 4412
Effect of FeCl
2
additive concentration
2
, stirring speed , and stirring time on barium
sulfate crystal formation
Table 3
Crystal recovery at the concentration of the FeCl
2
additives, mixing speed, and mixing
time
No
Factor
Response
Additive
Concentration
(ppm)
Mixing Speed
(rpm)
Time (minutes)
Mass Crystal
(gr)
1
5
600
75
0.4692
2
5
360
120
0.4916
3
5
360
30
0.4786
4
25
120
75
0.4540
5
15
120
30
0.4618
6
15
360
75
0.4687
7
5
120
75
0.4893
8
15
360
75
0.4696
9
15
120
120
0.4742
10
25
600
75
0.4678
11
15
360
75
0.4596
12
25
360
30
0.4510
13
15
600
120
0.4689
14
15
600
30
0.4451
15
25
360
120
0.4563
The effect of FeCl
2
additive concentration, stirring speed, and time on the formation
of barium sulfate crystals can use the ANOVA test, which can generate a mathematical
model that relates the independent variables to the response variables, as shown in Table
4.
Table 4
Results of the analysis of variance (ANOVA) for the response of obtaining barium sulfate
crystals with FeCl
2
additives
Source
DF
Adj SS
Adj MS
F-Value
P-Value
Model
9
0.002191
0.000243
5.59
0.036
Linear
3
0.001711
0.000570
13.09
0.008
Ppm
1
0.001240
0.001240
28.46
0.003
Time
1
0.000371
0.000371
8.52
0.033
Ppm*Rpm
1
0.000287
0.000287
6.59
0.050
Lack-of-Fit
3
0.000157
0.000052
1.71
0.390
Minitab19 with Box Behnken Design is used to process the data in Table 5. (BBD).
Where the choice of analysis is known, the interaction between factors with the resulting
response. The probability value (p-value) of the degree of significance (0.05) and the lack
of fit value when the p-value is greater than 0.05 indicate the suitability of the appropriate
treatment model (Sari, Triastinurmiatiningsih, & Haryana, 2020). Based on the findings
of the research, the P-value obtained is 0.05, and the P-value for lack of fit is 0.390. As a
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result, the obtained model is suitable for predicting the optimum conditions of the
response to the acquisition of barium sulfate crystals.
The equation obtained from the selected model for the response of barium sulfate
crystal acquisition is as follows:
y = 0,5034 0,00384x
1
+ 0,000070x
2
+ 0,000275x
3
+ 0,000055x
1
2
0,000001x
3
2
+
0,000004x
1
x
2
+ 0,000004x
1
x
3
(2)
Where :
= FeCl
2
additive concentration
2
(ppm)
= stirring speed (rpm)
= mixing time (minutes)
The coefficient of determination (R
2
) denotes the variable magnitude of the
response that can be explained by a model. (Aryantini, 2017). The regression model
demonstrates that variables with positive constants in the model influence the obtained
responses. (Ratnawati, Ekantari, Pradipta, & Paramita, 2013). The mathematical model
in equation (2) yielded a coefficient value of 0.5017 for the FeCl
2
concentration. As a
result, the concentration of the additive FeCl
2
has a significant influence on the test
results. The mathematical model determined that the best value is 25 ppm; 120 rpm; and
30 minutes. According to (Sari et al., 2020), R
2
values greater than 70 % indicate that the
observed and predictive values are quite precise in providing closeness to the results. The
closer the R-value is to one (100 %), the better the model. (Rosalinda, Nurjanah, Saputra,
& Bafdal, 2019). The coefficient of determination (R
2
) calculated using minitab19
software is 90.95 %, with the remaining 9.05 % influenced by other factors that cannot
be explained by the response. The following results were obtained by optimizing the area
using a graphical contour plot :
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Indonesian Journal of Social Technology, Vol. 5, No. 10, October 2024 4414
Figure 3
Contour optimization area of the recovery of barium sulfate crystals (a) variable stirring
speed and stirring time (b) variable concentration of FeCl
2
additive and stirring time (c)
the variable concentration of the FeCl
2
additive and stirring speed
The contour plot of barium sulfate crystal recovery with variable stirring speed and
stirring time is shown in Figure 3 (a). The acquisition of barium sulfate crystals has
decreased, as indicated by the bright green line with a stationary point of 0.450. According
to (Fachry, Tumanggor, & Yuni, 2008), states that impurities can inhibit crystal growth
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because they are adsorbed on the crystal surface. As a result, Fe ions
2+
adsorbed on the
crystal surface can inhibit crystal growth and decrease crystal mass.
Figure 3 (b) depicts the contour plot of barium sulfate crystal recovery as a function
of additive concentration and mixing time. As can be seen, the best results are described
as the brightest color with a stationary point of 0.46. The longer the stirring time, the more
crystals formed, according to (Anggrainy et al., 2014).
Figure 3 (c) depicts a contour plot graph of barium sulfate crystal recovery as a
function of additive concentration and stirring speed. The optimal result of obtaining
barium crystals is shown in a bright green color with a stationary point of 0.46. According
to (Prayuga et al., 2022), the addition of additives can suppress or reduce the reaction rate,
resulting in a decrease in the mass of crystals formed. As a result, the acquisition of
barium sulfate crystals decreased as the concentration of FeCl
2
additives increased. The
following results were obtained from the optimization area by surface plot graphs :
Figure 4
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Indonesian Journal of Social Technology, Vol. 5, No. 10, October 2024 4416
Surface plot of the optimization area of the recovery of barium sulfate crystals (a) variable
concentration of FeCl
2
additives and stirring speed (b) variable concentration of FeCl
2
additives and stirring time (c) variables of stirring speed and stirring time
The determination of the optimization area can be depicted in 3D form in Figure 4.
(a,b,c). Figures 4 (a), 4 (b), and 4 (c) show a curve with the smallest response. The color
change on the curve represents the effect of each variable on the acquisition of barium
sulfate crystals.
Effect of SrCl
2
Additive Concentration
2
, Stirring Speed , and Stirring Time on
Obtaining Barium Sulfate Crystals
Table 5
Crystal formation, SrCl
2
additive concentration, mixing speed, and mixing time
No
Factor
Response
Additive
Concentratio
n (ppm)
Mixing Speed
(rpm)
Time
(minutes)
Mass
Crystal (gr)
1
5
600
75
0.4653
2
5
360
120
0.4775
3
5
360
30
0.4632
4
25
120
75
0.4557
5
15
120
30
0.4389
6
15
360
75
0.4453
7
5
120
75
0.4728
8
15
360
75
0.4439
9
15
120
120
0.4501
10
25
600
75
0.4482
11
15
360
75
0.4524
12
25
360
30
0.4343
13
15
600
120
0.4573
14
15
600
30
0.4419
15
25
360
120
0.4503
The effect of SrCl
2
additive concentrations, stirring speed, and time on the
formation of barium sulfate crystals can be evaluated using the ANOVA test, which can
be used to generate a mathematical model that relates the independent variables to the
response variables, as shown in Table 6.
Table 6
Results of the analysis of variance (ANOVA) for the response of obtaining barium sulfate
crystals with SrCl
2
additives
Source
DF
Adj SS
Adj MS
F-Value
P-Value
Model
9
0.001943
0.000216
5.91
0.032
Linear
3
0.001427
0.000476
13.02
0.008
Ppm
1
0.001019
0.001019
27.91
0.003
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Time
1
0.000405
0.000405
11.08
0.021
Ppm*Ppm
1
0.000470
0.000470
12.88
0.016
Lack-of-Fit
3
0.000141
0.000047
2.26
0.321
Minitab19 with Box Behnken Design is used to process the data in Table 6. (BBD).
Where the choice of analysis is known, the interaction between factors with the resulting
response. The probability value (p-value) of the degree of significance (0.05) and the lack
of fit value when the p-value is greater than 0.05 indicate the suitability of the appropriate
treatment model. (Sari et al., 2020). Based on the findings of the research, the P-value
obtained is 0.05, and the P-value for lack of fit is 0.321. As a result, the obtained model
is suitable for predicting the optimum conditions of the response to the acquisition of
barium sulfate crystals.
The equation obtained from the selected model for the response of barium sulfate
crystal acquisition is as follows:
y = 0,5034 0,00384x
1
0,000070x
2
+ 0,000275x
3
+ 0,000055x
1
2
0,000001x
3
2
+
0,000004x
1
x
2
+ 0,000004x
1
x
3
(3)
Where :
= SrCl
2
additive concentration
2
(ppm)
= stirring speed (rpm)
= mixing time (minutes)
The coefficient of determination (R
2
) indicates the variable magnitude of the
response that can be explained in a model. (Aryantini, 2017). The regression model shows
that the responses obtained are influenced by variables that show positive constants in the
model. (Ratnawati et al., 2013). The results of the mathematical model in equation (3)
obtained the value of the SrCl
2
concentration coefficient of 0.4808. So it shows that the
concentration of the additive SrCl
2
has a major influence on the test results. The
mathematical model obtained the optimum value for 20.2049 ppm; 459.394 rpm
and 30 minutes.
According to (Sari et al., 2020), states that the value of R
2
> 70 % indicates that the
observed and predictive values are quite precise in providing closeness to the results. If
the R
2
value the closer to number one (100 %), the better the model (Rosalinda et al.,
2019). The results of calculations using Minitab 19 software that has been carried out
show that the coefficient of determination (R
2
) = 91.41 %, while the remaining 8.59 % is
influenced by other factors that cannot be explained by the response.
Optimization area by graphical contour plot obtained the following results :
Achmad Wildan Zakariya, Trischa Relanda Putra
Indonesian Journal of Social Technology, Vol. 5, No. 10, October 2024 4418
Figure 5
Contour optimization area of the recovery of barium sulfate crystals (a) variable mixing
speed and stirring time (b) variable SrCl
2
additive concentration and stirring time (c)
variable concentration of SrCl
2
additives and stirring speed
Figure 5 (a) shows the contour plot of the recovery of barium sulfate crystals with
variable stirring speed and stirring time. It can be seen that the acquisition of barium
sulfate crystals has decreased which is shown in dark blue with a stationary point of <0.44.
According to (Fachry et al., 2008), states that impurities can inhibit crystal growth
because impurities are adsorbed on the crystal surface. So Sr
2+
adsorbed onto the crystal
surface can inhibit crystal growth and the crystal mass tends to decrease.
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Figure 5 (b) shows the contour plot of barium sulfate crystal recovery between the
variable concentrations of the substance additive and mixing time. It can be seen that the
optimal results obtained are described as the brightest color with a stationary point of
<0.44. According to (Anggrainy et al., 2014), the longer the stirring time, the more
crystals formed.
Figure 5 (c) shows a contour plot graph of the recovery of barium sulfate crystals
between the variable concentrations of substances additive and stirring speed. It can be
seen that the optimal result of obtaining barium crystals is depicted in dark blue with a
stationary point of <0.445. According to (Prayuga et al., 2022), the addition of additives
can suppress or reduce the reaction rate so that the mass of crystals formed decreases. So
the recovery of barium sulfate crystals decreased with increasing concentration of SrCl
2
additives. The optimization area by graphical surface plot obtained the following results
:
Figure 6
Surface plot of the optimization area of the recovery of barium sulfate crystals (a)
variable concentration of SrCl
2
additives and stirring speed (b) variable concentration of
SrCl
2
additives and stirring time (c) variables of stirring speed and stirring time
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Indonesian Journal of Social Technology, Vol. 5, No. 10, October 2024 4420
The determination of the optimization area can be described in 3D form as can be
seen in Figure 6 (a,b,c). Figure 6 (a), 6 (b) and Figure 6 (c) produce a curve that forms
the minimum response. The color change on the curve indicates the effect of adding each
variable to the acquisition of barium sulfate crystals.
Use of FeCl
2
Additives and SrCl
2
According to the research, the best results were acquiring barium sulfate crystals
with FeCl
2
additives on the variable 25 ppm and a crystal mass yield of 0.4485 gr. The
acquisition of barium sulfate crystals with SrCl
2
additives yielded optimal results on the
variable 20.2049 ppm with a crystal mass yield of 0.4345 gr. The density of the Fe
compound is 7.9 gr/cm3, while the density Sr compound is 3.65 gr/cm3 (Farida, 2018).
This finding demonstrates that the Fe compound has a higher molecular weight than the
Sr compound. According to (Karaman et al., 2019), higher molecular weight inhibitors
are difficult to incorporate into the lattice. As a result, additive compounds with lower
densities can more easily enter the crystal lattice and inhibit crystal growth. The optimal
difference in yield between the two additives is 0.014 gr. This result demonstrates that
the additive SrCl
2
can reduce the recovery of barium sulfate crystals more than the FeCl
2
additives.
Conclusion
The optimum conditions for obtaining barium sulfate crystals using FeCl2 additives
were a concentration of 25 ppm, a stirring speed of 120 rpm, a time of 30 minutes, namely
0.4485 gr, and a coefficient of determination (R2) of 90.95 %. Meanwhile, the optimum
conditions were using the additive SrCl2 at a concentration of 20.2049 ppm, a stirring
speed of 459.394 rpm, and a time of 30 minutes, which was 0.4345 gr and with a
coefficient of determination (R2) of 91.41 %.
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