The study on optimization of copper leaching from waste pcbs by using response surface methodology
The present study has successfully built the model, by response surface methodology, using
Design Expert software, which is compatible with the experimental data, provided a high
correlation coefficient (R2). The optimal conditions were identified as Fe2(SO4)3 concentration of
0.35 M, volume of H2O2 addition at 10 ml and leaching time of 10 h. Leaching efficiency of 90.5
percent and recovering efficiency of 85 percent was achieved. So that recycling copper in PCBs
waste by the method proposed in this study is a promising technique for electronic waste
treatment, which would minimize to the environment and human health effects, together with
economic benefits.
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Vietnam Journal of Science and Technology 56 (2C) (2018) 16-22
THE STUDY ON OPTIMIZATION OF COPPER LEACHING FROM
WASTE PCBs BY USING RESPONSE SURFACE METHODOLOGY
Tran Thi Ngoc Mai*, Tran Thi Thuy Nhan, Truong Thi Dieu Hien
Faculty of Environment, Resource and Climate Change
HCM City University of Food Industry, 140 Le Trong Tan, Tay Thanh ward, Tan Phu district,
Ho Chi Minh City
*Email: ngocmai0306@gmail.com
Received: 10 May 2018, Accepted for publication: 20 August 2018
ABSTRACT
Recycling printed circuit boards (PCBs) is an important solution not only to treat hazardous
waste but also to recover valuable materials. This research focus on optimizing the leaching
copper process from waste PCBs to recycle. This process was performed in Fe2(SO4)3 solution at
room temperature and using H2O2 as an oxidant. For optimization, response surface
methodology was used to investigate the different parameters, including Fe2(SO4)3
concentration, volume of H2O2 addition and leaching time. Design Expert 10.0 software was
applied to design the experiments and calculate the regression equation of the response function.
As a result, a model was established which is compatible with the experimental data at the
correlation coefficient (R2) of 0.99. The optimal conditions were identified as Fe2(SO4)3
concentration of 0.35 M, volume of H2O2 addition at 10 mL and leaching time of 10 h. Under
this condition, leaching efficiency of 90.5 percent was achieved. After leaching, copper was
recovered from extract solution by electrochemical technology with the efficiency of 85 percent.
The results from this study hence proposed a very promising method for recycling copper in
PCBs.
Keywords: circuit boards (PCBs), leaching, recovery, response surface methodology.
1. INTRODUCTION
Increasing demand for electronic equipments in modern life has been creating pollutional
issues and generating 20-50 million tons of electronic wastes (or e-wastes) every year [1].
Because of their hazardous material contents, printed circuit boards (PCBs) is potentially harmful
to the environment, human health and the economy [2]. Generally, electronic wastes are
composed of metal (40 %), plastic (30 %) and refractory oxides (30 %) [3]. The typical metal
scrap consists of copper (20 %), iron (8 %), tin (4 %), nickel (2 %), lead (2 %), zinc (1 %), silver
(0.02 %), gold (0.1 %) and palladium (0.005 %) [4]. Increased recycling of electronic waste is
supposed to limit the total quantity of waste going to final disposal [2].
PCBs are found in virtually all electric and electronic equipment, provide the electrical
interconnections between components [5]. PCBs were recycled in three processes which is
The study on optimization of copper leachingusing response surface methodology
17
pretreatment, physical recycling, and chemical recycling [5]. PCBs recycling generally start from
the pretreatment stage, which include disassembly of the reusable and toxic parts and then PCBs
are treated using physical recycling or chemical recycling process. Physical processing for the
separating the metal fraction and non-metal fraction from waste PCBs includes shape
separation, magnetic separation, electric conductivity-based separation, density-based separation
and corona electrostatic separation [6]. From the review, we found that chemical recycling
methods include pyrolysis, gasification and combustion. Metal fraction can be treated by
pyrometallurgical, hydrometallurgical or biotechnological process [5].
Response surface methodology is the most widely used method for experimental design; it
can be used to optimize the operating parameters at the minimum experimental runs and analyze
the interactions between parameters [7, 8].
Copper occur in nature in directly usable metallic form. Most copper is mined
or extracted as copper sulfides from large open pit mines in porphyry copper deposits that contain
0.4 to 1.0 % copper. During mining and refining (purification) of copper, dust and waste gases
such as SO2 are produced which may have a harmful effect on the environment. Recovery of
copper is worth up to 90 % of the cost of the original copper [4].
So that, in this paper, copper was chosen to be recycled by leaching process from waste
PCBs which contain large amount of copper than another metals. This study used Fe2(SO4)3
solution at room temperature to extract copper and H2O2 as an oxidant. It is a simple, economic
and effective method to recycle copper. Response surface methodology was used to optimize the
leaching process to reduce the number of experimental runs and its response surface map was
used to locate the optimum response variables in this research.
2. MATERIALS AND METHODOLOGY
2.1. Materials
The material used for this research was collected from Vietnam Australia Environment
S.J.Co. (VINAUSEN), Le Minh Xuan Industrial zone, HCM City.
PCBs were crushed to collect powder materials with a particle size below 0.075 mm. Copper
concentration in raw material was 15.5 ± 0.8 %. Fe2(SO4)3 and H2O2 were bought from Merck
Chemicals Ltd and distilled water was used throughout the leaching process.
2.2. Extraction process and experimental design
Copper leaching process from waste PCBs was conducted by following the procedure given
in Figure 1. PCBs waste containing copper was crushed into powder with the size smaller than
0.075 mm. Raw samples were dissolved in Fe2(SO4)3 solution which was then added with certain
amounts of H2O2 (dropped 1 mL/min) to oxidant. A magnetic stirrer was applied during the
experiment. After specific time intervals, the leaching solutions were filtered. Fe2(SO4)3
concentration, volume of H2O2 addition and leaching time were varied in each experiment. The
leaching efficiency was calculated based on the copper concentration in the sample before and
after leaching.
Design Expert 10.0 software was used to design the experiments and optimize the leaching
process. It is a software for design of experiments which provides statistical tools, such as
Tran Thi Ngoc Mai, Tran Thi Thuy Nhan, Truong Thi Dieu Hien
18
"two-level factorial screening designs". This software can identify the vital factors that affect the
process or product so that it can make necessary improvements.
In the experiment, three key parameters were pre-investigated. Specifically, Fe2(SO4)3
concentration changed in range of 0.25 - 0.5 M, amount of H2O2 added was from 5 to 15 mL and
leaching time increased from 6 to 10 hours. Results were showed that the central values (zero
level) chosen for the design were: Fe2(SO4)3 concentration at 0.3 M, amount of H2O2 at 10 mL
and leaching time at 8 hours. These three key parameters and their levels settings are given in
Table 1.
Based on the ranges of influence parameters in Table 1, we run Design Expert 10.0 software
to have experiment conditions, as given in Table 2.
Figure 1. Copper leaching process from PCBs waste.
Table 1. Experimental design.
Independent variables Symbols Levels and ranges
-1 0 1
Fe3+ concentration, M A 0.25 0.30 0.35
H2O2 volume, mL B 5 10 15
Leaching time, h C 6 8 10
3. RESULT AND DISCUSSION
3.1. Leaching efficiency
The study on optimization of copper leachingusing response surface methodology
19
Different parameters, as listed in Table 1, with different matrixes for optimization were input
into Design Expert 10.0 software. The software was run and provided different conditions of
experimental runs. All experiments were then performed and the leaching efficiency was
calculated in each of condition (Table 2). The copper in PCBs was extracted via a redox reaction
whereby insoluble copper extracted from waste PCBs was transformed into soluble cupric ion
(Cu2+), which in turns was recycled.
Reaction occurs as follows:
2Fe3+ + Cu → Cu2+ + 2Fe2+
3.2. Response surface analysis
The influence parameters on leaching efficiency was coded: Fe3+ concentration (A), H2O2
volume (B) and leaching time (C). A typical regression equation from three influence parameters
is illustrated as below:
Y = b0 + b1A + b2B + b3C + b12AB + b23BC + b13AC + b11A2 + b22B2 + b33C2
The leaching efficiency was calculated in each of experiment and showed in Table 2.
Table 2. Design experiments and results.
Run Fe3+ concentration, M H2O2 volume, mL Leaching time, h Leaching efficiency, %
1 0.3 5 10 79
2 0.25 15 8 77
3 0.3 15 10 85
4 0.35 10 10 91
5 0.35 5 8 84
6 0.25 5 8 76
7 0.25 10 6 74
8 0.25 10 10 78
9 0.3 15 6 76
10 0.3 10 8 81
11 0.35 15 8 86
12 0.35 10 6 81
13 0.3 10 8 80
14 0.3 10 8 81
15 0.3 5 6 75
To figure out the optimal condition for copper leaching process, data from Table 2 were
proceeded to statistically analyze using ANOVA. The regression equation via above coded
factors can be used to predict the interactions between influence variables and following
responses by given levels of each factor. The ANOVA analysis results are showed in Table 3.
Tran Thi Ngoc Mai, Tran Thi Thuy Nhan, Truong Thi Dieu Hien
20
Table 3. Analysis of variance (ANOVA) quadratic model.
Souce Sum of Squares Degree of Freedom Mean Square F-Value p-Values Prob>F
Model 303.02 9 33.67 42.98 0.0003
A 171.12 1 171.12 218.46 <0.0001
B 12.50 1 12.50 15.96 0.0104
C 91.13 1 91.13 116.33 0.0001
AB 0.25 1 0.25 0.3191 0.5965
AC 9.00 1 9.00 11.49 0.0195
BC 6.25 1 6.25 7.98 0.0369
A2 5.03 1 5.03 6.42 0.0523
B2 4.33 1 4.33 5.53 0.0654
C2 2.56 1 2.56 3.27 0.1302
Residual 3.92 5 0.78
Pure Error 0.6667 2 0.33
Results by Design expert software indicated that the model was statistically significant (P
value < 0.001). Factors (A, B, C) and pair of factors (AC, BC) were involved in regression
equation (P value < 0.05). All the rest that had p value higher than 0.05, were not considered in
the regression equation. The correlation coefficient (R2) is 0.9872, which is close to 1, indicating
that the actual leaching efficiency is consistent with the predicted leaching efficiency. The
predicted R2 of 0.8257 is in reasonable agreement with the adjusted R2 of 0.9643 (the difference
is less than 0.2).
Therefore, the final regression equation can be functionated as below:
Y = 80.67 + 4.62A + 1.25B + 3.38C + 1.5AC + 1.25BC + 1.17A2 - 1.08B2
The equation in terms of coded factors can be used to make predictions about the response
for given levels of each factor. This reflected that predicted leaching efficiency of model is linear
and similar to the actual leaching (Figure 2). Therefore, predicted leaching efficiency in this
model can be reliable to estimate the actual leaching efficiency.
The coefficient estimate represents the expected change in response y per unit change in x
when all remaining factors are kept constant. The intercept in an orthogonal design is the overall
average response of all the runs. The coefficients are adjustments around that average based on
the factor settings. When the factors are orthogonal the variance inflation factors (VIFs) are 1;
VIFs greater than 1 indicate multi-colinearity, the higher the VIF the more severe the correlation
of factors. As a rough rule, VIFs less than 10 are tolerable.
RSM method showed the interactions between parameters with the minimum experimental
runs. From experimental data, values of key parameters were plotted and shown in Figure 3 and
Figure 4. The response surface maps indicated the interaction between parameters and primarily
suggested the optimal point for each interaction.
The study on optimization of copper leachingusing response surface methodology
21
Figure 2. Actual and predicted leaching efficiency.
Figure 3. The response surface map of Fe3+
concentration vs. leaching time at H2O2 of 10 mL.
Figure 4. The response surface map of H2O2
volume vs. leaching time at Fe3+ of 0.3 M.
3.3. Optimum
Figure 5. The optimal condition.
Design-Expert software was used to find the optimal condition. Further calculation showed
that the optimal condition (Figure 5) with the highest efficiency of 90.5 % was achieved at Fe3+
concentration of 0.35 M, amount of H2O2 addition at 10 ml and leaching time of 10 h. In this
study, leaching efficiency was higher than that from other references, such as the copper leaching
efficiency of 85.86 % from refractory flotation tailings using H2SO4 [9], or the extraction copper
of 83.8 %, by ethylenediaminetetraacetic acid (EDTA) from electronic waste [10]. So that,
extraction by Fe2(SO4)3 associated with the optimization process brings more efficiency. The
results show that this research has improved than the others when optimizing the affecting factors
by the response surface methodology to achieve high extraction efficiency. After leaching, copper
Tran Thi Ngoc Mai, Tran Thi Thuy Nhan, Truong Thi Dieu Hien
22
was recovered from extract solution by electrochemical technology, resulted in the highest
recovering efficiency of 85 percent.
4. CONCLUSION
The present study has successfully built the model, by response surface methodology, using
Design Expert software, which is compatible with the experimental data, provided a high
correlation coefficient (R2). The optimal conditions were identified as Fe2(SO4)3 concentration of
0.35 M, volume of H2O2 addition at 10 ml and leaching time of 10 h. Leaching efficiency of 90.5
percent and recovering efficiency of 85 percent was achieved. So that recycling copper in PCBs
waste by the method proposed in this study is a promising technique for electronic waste
treatment, which would minimize to the environment and human health effects, together with
economic benefits.
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