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Pre-treatment of acetic acid from food processing wastewater using response surface methodology via Fenton oxidation process for sustainable water reuse

Original scientific paper

Journal of Sustainable Development of Energy, Water and Environment Systems
Volume 9, Issue 4, December 2021, 1080363
DOI: https://doi.org/10.13044/j.sdewes.d8.0363
Kowit Suwannahong1 , Surachai Wongcharee2, Jitporn Kreanuarte3, Torpong Kreetachat4
1 Department of Environmental Health, Faculty of Public Health, Burapha University, Chonburi 20131, Thailand
2 Field of Environmental Engineering, Faculty of Engineering, Mahasarakham University, Khamriang, Kantarawichai, Mahasarakham 44150, Thailand
3 Independent innovation expertise: BuaTong village, Karnjanapisake Rd. BangBuaTong, Nontaburi, 11110, Thailand
4 Department of Environmental Engineering, School of Energy and Environment, University of Phayao, Phayao 56000, Thailand


This study designed to optimize the operating parameters of the Fenton process in removing acetic acid from food processing using Response Surface Methodology module in the Design of Expert for sustainable water reuse. Optimum operating conditions needed for the highest removal efficiency of 95.2% and 84.7% for color and chemical oxygen demand respectively were found to be at hydrogen peroxide concentration of 0.004 mol/L, ferrous iron concentration of 0.02 mol/L, initial pH of 3.45, and reaction time of 149.08 min for color. While, chemical oxygen demand had a maximum of around 84.7% removal efficiency that could be obtained at a hydrogen peroxide concentration of 0.014 mol/L, ferrous iron concentration of 0.051 mol/L, initial pH of 2.04, and reaction time of 144.58 min. The results showed that the Fenton process via Response Surface Methodology, at a certain level, may be used as a useful technology for pre- and post-treatment of wastewater from food processing for water scarcity as reclaimed water.

Keywords: Acetic acid, Fenton process, Food processing, Respond surface method, Central composite design, Water reuse.

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Water scarcity is a major constraint to many countries such as Thailand, Lao, Vietnam, and Cambodia, which about more than half of the essential reservoirs representing stand below 40 percent of capacity and frequently occurs for wide fluctuations in rainfed production [1]. Thailand is experiencing a severe drought event impacting large areas of many provinces are warning to prepare for serve drought in the country, especially Northeast (Isan), in particular, agriculture and industry sectors [2]. Eastern of Thailand, the river level is quite low that saltwater from the ocean is creeping upstream and affecting water and drinking water supplies unpredictable [3]. It can be seen that in a country where foremost environmental, crop production, social, economic, and industrial estates problems in the region are expected to suffer [4], [5]. Therefore, treated wastewater for sustainable water reuse is recognized and challenged as a strategic option in industrial processes that must be integrated approach into comprehensive water resource management plans, including water supply, wastewater collection, reclamation, and reuse [6] locally is required.

Thailand is one country of Southeast Asia that has many factories, such a process of pickling, curing, and preserving fruits and vegetables for all regions as rising export demands and domestic consumption [7]. High water consumption is used in these processes, which have an effect on the high production of wastewater volume along with treatment costs account for 60–70% of the production cost [8] that have been widely explored. In the present, wastewater from these processes has been investigated to study and improve for sustainable reuse. Hence, a purification method is essential to remove impurities such as protein, carbon source, and acetic acid [8] from the production processes. However, acetic acid is one of the major organic acids (known as a non-degradable organic compounds) in a broad range of applications as a solvent [9] in various industries such as textiles, pharmaceutical industry, synthetic fibers, synthetic polymers, plastics manufacturing [7], petroleum, fine chemicals and food industry [10]. Acetic acid is used to food production [11], [12] as a food ingredient such as a flavor enhancer, flavoring agent, an acidifier, color diluent, curing, and pickling agent, pH control agent, solvent, and preservative. High concentrations of acetic acid can cause irritation [13] or severe injury depending on the concentration. Other problems are also possible such as renal failure and interference with blood clotting [13]. The acetic acid may react with strong reagents such as perchlorate and Puerto permanganate, which can cause explosions [14], [15] in food processing industries. Therefore, the residual acetic acid like chemical effluents [16], [17] after the production process needs to find a way to manage waste occurring [18], [19]. If there is the contamination of acetic acid in the wastewater, resulting from the production process, then the high volume of wastewater may affect the function of microorganisms and the performance in wastewater treatment and biological treatment. Therefore, wastewater containing contaminants should be treated to inhibit the growth of microorganisms and metabolic depression, and the decomposition of organic matter in wastewater treatment [20] containing acetic acid so as not to affect the biological wastewater treatment and discharge of wastewater containing contaminants into receiving water.

Numerous traditional processes are applied for acetic acid removal from preserving fruits and vegetables industry or fermentation broths and industrial fields such as liquid-liquid extraction, vinyl acetate, reactive extraction, analytical chemistry, adsorption, electrodialysis, precipitation, solvents in many commercial products (inks and paints), distillation, membrane processes [21], bioelectrochemical [22], extraction and stripping processes [23], bulk liquid membrane and bulk ionic liquid membranes [24]. Besides, adsorption technology also can be applied in removing for non-degradable organic compounds like acetic acid such as magnetic bio-adsorbent and Fe3O4 nanoparticles nanocomposite [25], [26], nanocomposite [27], [28], thorium-ethanolamine nanocomposite [28], [29], fruit peel and seed activated carbon [30], [31]. Currently, the technology of treating acetic acid and organic contaminants in the wastewater industry uses chemical treatments [32] such as Advanced Oxidation Process (AOPs) [33], [34], a process that involves the production of a hydroxyl radical (OH•) [35], [36]. Deng and Zhao [37] reported that AOPs could be applied in various pollutants in wastewater with a combination of hydroxyl radical, Ozone, Photocatalytic oxidation, Ultraviolet ray, Fenton process, and sulfate-based AOPs represents Advanced Oxidation Processes. Fenton oxidation processes are unstable and active oxidant agents that can react quickly with non-degradable organic compounds on the biological wastewater treatment (denoted as R) at a constant rate. The OH• is formed from the reaction of oxidizing agent (H2O2) and metal salt or oxide catalyst (Fe2+) to generate strong reactive species, as shown in the reaction chain of eq. (1) – eq. (7). The main reactions of Fenton oxidation process in an acidic medium are shown in eq. (1) of the conditional treatment, other reactions are shown in eq. (2) – eq. (7) [38], [39]:

Fe2++ H2O2 Fe3++ OH+ OH (1)

H2O2+ Fe3+ Fe2++ HO2• + H+ (2)

Fe2++ OH• Fe3++ OH (3)

HO• + H2O2 HO2• + H2O (4)

HO2 O2• + H+ (5)

Fe3++ HO2 Fe2++ H++ O2 (6)

Fe2++ HO2 Fe3++ HO2 (7)

while organic compounds reaction in an acidic medium is shown as eq. (8) – eq. (11) [38], which OH• can attract the organic radicals to form double-bound or by the abstraction of a hydrogen atom from aliphatic organic molecules such as additive radical, hydrogen abstract action, electron transfer, and radical combination:

R + HO• ROH (8)

R + HO• R• + H2O (9)

Rn+ HO• Rn1+ HO (10)

HO• + HO• H2O2 (11)

However, several studies have been reported that biological and ultrafiltration membrane treatment processes are of the promising options in the treatment of non-organic and organic loads such as dyeing wastewater, pulp and canned food factory. However, both treatments have a major limitation of inorganic and expensive and membrane fouling, respectively [40], [41]. While the advanced Fenton oxidation process is an alternative method in reducing industrial wastewater organic loads due to advanced oxidation processes are capable of transforming non-biodegradable into non-toxic biodegradable substances [42]. In case of acetic acid contaminated wastewater from food processing (Wastewater was brought from the process of pickling in Thailand) decomposition, the role of H2O2, Fe2+ ions, initial pH and reaction time are important in the Fenton process; however are has not been investigated yet. Therefore, the primary aim of this research was to investigate the degradation of acetic acid contaminated wastewater from the food industry using the Fenton oxidation process via response surface methodology (RSM) with applying the method from the literature [43]. Besides, the effect of pH, temperature and ratios of H2O2: Fe2+ ions on the degradation efficiency of pre-treatment through advanced Fenton oxidation process in a batch system was evaluated by using RSM module in the design of experiment (DOE) for sustainable water reuse as reclaimed water.


Raw wastewater, RSM relevant statistical analysis and RSM batch experiment were detailed in this section. The removal efficiency of COD and color was used as a surrogate parameter in the Fenton oxidation process as the following details.

Raw wastewater

Raw wastewater was obtained from the food processing of pickling, curing, and preserving fruits and vegetables in the north of Phayao province, Thailand. In general, raw wastewater was contaminated with acetic acid and eliminated by pouring into the sludge drying area with other waste and let it evaporate naturally, which can affect humans and the environment inevitably. The preliminary characteristics of raw wastewater are presented in [Table 1].

Raw wastewater quality parameters from food processing wastewater

Parameter Raw wastewater range values
pH 2.9-3.2
COD (mg/L) 2,550-3030
Color ( Pt-Co) 2154-2545

[Figure 1] shows the physical characteristics of the raw wastewater used. It can be seen that the color is yellow-brown and unpleasant smell, which wastewater comes from the process of pickling, acetic acid is added to the salt solution (NaCl) to make the pickling brine. Acetic acid acts as a preservative and diffuses into the vegetables, while salt solution keeps the vegetables from swelling [44]. However, to control the lab-scale experiment, this project only focused on the removal of acetic acid at a low pH via Fenton oxidation process.

Brine wastewater from food processing industry

Response Surface Methodology relevant statistical analysis

The finding of optimum conditions for pre-treatment of acetic acid in terms of four independent variables were selected for the initial pH, H2O2 concentration, Fe2+ ions concentration and reaction time along with a fixed temperature of 25 oC, was further investigated using with the advanced Fenton oxidation process. In this step of the experimental design, experimental range and levels of center composite design were analyzed by response surface methodology (RSM) via the design of experiment (DOE) software tools called central composite design (CCD). The optimal response of the operation factors was analyzed to obtain the statistical techniques (empirical regression model) and graphical data (ANOVA, analysis of variance) for pre-treatment of acetic acid through RSM. Then, the second-degree polynomial was computed through a four-factor of CCD in order to estimate the advanced design for 30 experimental runs. The experimental runs (N) were accomplished by using 16 (2n) factorial points, 8 (2n) axial points at the center run and 6 (N0) central points, which were attained according to eq. (12):

N=2n+2n+N0=(24)+(2×4)+(6)=30, (12)

where N is the experimental runs, n is the numbers of operational factors of the initial pH, H2O2 concentration, Fe2+ ions concentration and reaction time involved, 2n is the number of factorial points, 2n is the number of axial points and N0 is the centre points.

The eq. (13), a second-degree polynomial regression model was obtained from the experimental data of 30 runs that were analyzed through the CCD matrix:

y=β0+i=1kβixi+i=1kβiixi2+i=1ij=1βijxixij+ε, (13)

where y is the predicted response, xi and xj are the real or code values of the variable parameter obtained from pre-treatment acetic acid runs, ε is the random error and β0, βi, βii and βij are the constant regression coefficient, linear regression coefficient, quadratic regression coefficient and interaction regression coefficient respectively.

For the pre-treatment of acetic acid study via Fenton oxidation process from food processing, CCD allowed four numeric factors were set to range in five levels: low level (-, minus factorial point), high (+, plus factorial point ), center point level (0), and two axial points (plus and minus alpha) corresponding to -1 and +1. In terms of plus and minus alpha are not shown here due to it is the same range and levels of factorial point. The overall range and levels of CCD are illustrated in [Table 2].

Overall of experimental range and levels for the center composite design of food processing wastewater

Variables Unit Range and levels
-1 0 1
x1, H2O2 concentration mol/L 0.01 0.03 0.05
x2, Fe2+ ions concentration mol/L 0.02 0.05 0.08
x3, Initial pH - 2 3.5 5
x4, Reactions time min 30 90 150
Response Surface Methodology batch experiment

Laboratory-scale, the degradation of acetic acid, the Fenton oxidation process were carried out in 1.5 L batch reactor. 1 L of raw wastewater was adjusted to the desired level (pH 2.0 ± 0.1 – pH 5.0 ± 0.1) using 1.0 N H2SO4 and/or NaOH (both was purchased from Ajax Finechem) before adding the ratios of hydrogen peroxide oxide (H2O2, 0.01 – 0.05 mol/L, Sigma-Aldrich) and Ferrous (FeSO4.7H2O, 0.02 – 0.08 mol/L, analytical grade, Ajax Finechem) reagent with the heating of 40 °C temperature and then followed by changing the reaction time of 30 – 150 min. After that, aliquots were withdrawn with adding 10.0 mL NaSO3 (sodium sulfite, 25% w/v, Sigma-Aldrich)) to stop the reaction immediately for each contact time and filtered through 0.45 μm syringe filters (Glass fiber filter, GA-55). COD (Chemical Oxygen Demand, mg/L, HANNA, HI 96727) and color (Pt-Co, HANNA, HI 96727) were measured as a surrogate parameter to obtain the optimization via Fenton oxidation process for sustainable water reuse. However, all batch experiments were run by following the CCD matrix (code and actual variables), as shown in [Table 6].


The results of Response Surface Methodology and model fit and Optimum conditions of treated acetic acid using Fenton oxidation process were evaluated as follows.

Response Surface Methodology and model fit

The computing of the empirical quadratic models was obtained by using 30 observed responses from the experimental runs that were formulated via the RSM. The percent of pre-treatment efficiency, the highest order polynomial of both empirical quadratic models for color and COD were remarked as suggested, and the model is not aliased by the software as shown in [Table 3].

Model summary statistics for color and COD used as surround gate parameters for food processing wastewater treatment

Source Standard derivative R-Squared Adj. R-Squared Pred. R-Squared PRESS Remarks
Linear 9.63 0.1644 0.0307 -0.0934 3036.83
2FI 10.76 0.2086 -0.2080 -0.8220 5060.40
Quadratic 9.54 0.5082 0.0492 -1.0336 5647.99 Suggested
Cubic 9.68 0.7638 0.0216 -6.8523 21808.95 Aliased
Linear 7.73 0.2438 0.1228 -0.1718 2312.99
2FI 7.60 0.4434 0.1504 -1.1873 4317.42
Quadratic 6.93 0.6350 0.2944 -1.2389 4419.35 Suggested
Cubic 2.50 0.9779 0.9084 0.1398 1697.86 Aliased

The optimum condition of pre-treatment for acetic acid, the best percent of removal efficiency for both color and COD was correlated with four factors of H2O2 concentration (x1), Fe2+ ions concentration (x2), initial pH (x3), and reaction time (x4). The final empirical models of the suggested quadratic model in terms of the four actual variable factors are shown by eq. (14) and eq. (15). Both suggested quadratic models of color and COD, the negative signs in front of the terms show antagonistic effects, and the positive sign indicates synergistic effects [43].

Color, % =48.87+626.81x11838.58x2+36x30.15x41.04x1x2+28.06x1x3+ 0.54x1x4+10.18x2x3+0.52x2x4+0.03x3x40722.15x12+17517.93x225.45x32+2.95×104x42 (14)

COD, % =49.96+177.70x1+1077.63x20.75x3+0.06x4+42.71x1x2+38.73x1x3+2.06x1x485.01x2x3+0.09x2x40.02x3x48939.25x127650.78x22+ 1.48x32+1.23×104x42 (15)

The ANOVA results analysis parameters for the quadratic regression models of Eqs. (14) and (15) are obtainable in [Table 4]. The t-test follows a Student’s t-distribution was used as a tool to verify the Fisher's F statistic (test statistic for F-test) value with a low p-value Prob>F less than 0.0500, indicating the model terms are significant for the regression models. It can be suggested that the regression models indicated the p-value Prob > F more than 0.0500, illustrating the model terms for the response surface quadratic model of eq. (14) and eq. (15) is insignificant. Therefore, the regression models needed to be reduced as shown in eq. (16) and eq. (17).

The analysis of variance table for the response surface quadratic model of eq. (14) and eq. (15) for food processing wastewater treatment

Source Sum of Squares df Mean Square F Value p-value Prob > F
Model 1411.45 14 100.82 1.11 0.4221
x1 H2O2 259.84 1 259.84 2.85 0.1119
x2 Fe2+ 0.37 1 0.37 4.06E-03 0.95
x3 pH 99.69 1 99.69 1.09 0.312
x4 Reaction time 96.56 1 96.56 1.06 0.3195
x1 x2 6.25E-06 1 6.25E-06 6.86E-08 0.9998
x1 x3 11.34 1 11.34 0.12 0.7291
x1 x4 6.64 1 6.64 0.073 0.7908
x2 x3 3.36 1 3.36 0.037 0.8503
x2 x4 13.78 1 13.78 0.15 0.7027
x3 x4 87.47 1 87.47 0.96 0.3426
x12 39.18 1 39.18 0.43 0.5218
x22 644.03 1 644.03 7.07 0.0179
x32 389.04 1 389.04 4.27 0.0565
x42 2.92 1 2.92 0.032 0.8603
Model 1253.47 14 89.53 1.86 0.1218
x1 H2O2 9.02 1 9.02 0.19 0.671
x2 Fe2+ 9.53 1 9.53 0.2 0.6623
x3 pH 35.7 1 35.7 0.74 0.4022
x4 Reaction time 426.9 1 426.9 8.89 0.0093
x1 x2 0.011 1 0.011 2.19E-04 0.9884
x1 x3 21.6 1 21.6 0.45 0.5127
x1 x4 97.96 1 97.96 2.04 0.1737
x2 x3 234.17 1 234.17 4.88 0.0432
x2 x4 0.41 1 0.41 8.46E-03 0.9279
x3 x4 39.91 1 39.91 0.83 0.3764
x12 33.13 1 33.13 0.69 0.4193
x22 122.84 1 122.84 2.56 0.1306
x32 28.72 1 28.72 0.6 0.4514
x42 0.42 1 0.42 8.82E-03 0.9264

[Table 5] demonstrates the analysis of variance table for response surface reduced quadratic model, the statistical significance for the regression coefficient of the model terms were confirmed by the results of the p-value Prob>F less than 0.0500. The results found that the model terms of color and COD were of high significance. It can be suggested that these model terms can be successfully applied to predict the optimum conditions for the response of the maximum percent removal efficiency via Fenton oxidation process. Hence, the reduced regression model of eq. (16) and eq. (17) was obtained as follows:

Color, % =33.15+726.27x11791.41x2+38.72x3+0.04x48938.35x12+17866.29x225.31x32 (16)

COD, %=49.50+179.83x1+1086.88x24.75x3+0.06x4+ 38.73x1x3+2.06x1x485.01x2x30.02x3x48939.25x127650.78x22+1.48x32+1.23×104x42 (17)

The analysis of variance table for response surface reduced quadratic model of eq. (16) and eq. (17) for food processing wastewater treatment

Source Sum of Squares df Mean Square F Value p-value Prob > F
Model 1285.93 7 183.70 2.71 0.0347
x1 H2O2 259.84 1 259.84 3.83 0.0631
x2 Fe2+ 0.37 1 0.37 5.455E-003 0.9418
x3 pH 99.69 1 99.69 1.47 0.2381
x4 Reaction time 96.56 1 96.56 1.42 0.2454
x12 36.29 1 36.29 0.54 0.4721
x22 733.96 1 733.96 10.83 0.0033
x32 404.72 1 404.72 5.97 0.0230
Residual 1491.51 22 67.80
Lack of Fit 925.46 17 54.44 0.48 0.8818
Pure Error 566.05 5 113.21
Cor Total 2777.44 29
Model 1253.06 12 104.42 2.46 0.0439
x1 H2O2 9.02 1 9.02 0.21 0.6505
x2 Fe2+ 9.53 1 9.53 0.22 0.6414
x3 pH 35.70 1 35.70 0.84 0.3717
x4 Reaction time 426.90 1 426.90 10.07 0.0056
x1 x3 21.60 1 21.60 0.51 0.4851
x1 x4 97.96 1 97.96 2.31 0.1469
x2 x3 234.17 1 234.17 5.52 0.0311
x3 x4 39.91 1 39.91 0.94 0.3456
x12 33.13 1 33.13 0.78 0.3891
x22 122.84 1 122.84 2.90 0.1070
x32 28.72 1 28.72 0.68 0.4219
x42 0.42 1 0.42 0.00998E-003 0.9216
Residual 720.83 17 42.40
Lack of Fit 684.32 12 57.03 7.81 0.0169
Pure Error 36.51 5 7.30
Cor Total 1973.89 29

Note: Values of “p-value Prob > F” less than 0.0500 indicate model terms are significant.

Values of Df are the design factor, and the mean square indicates a variance in the linear fitting process.

Values of F-values are generated when the model significance is examined.

As shown in [Table 6], both experimental and predicted percent removal of colure and COD on the Fenton oxidation process. Each of the experimental of percent removal was compared with the predicted value in terms of the errors. The comparison of percent errors with the mean square residual (MSR, [Table 5], 67.80 for color and 42.40 for COD) illustrated that for most of the percent errors of each runs not exceeded twofold as compared to the root mean square residual (RMSR). These results confirmed great appropriateness of the reduced quadratic model for pre-treatment of acetic acid in terms of color and COD as presented in eq. (16) and eq. (17).

Thirty runs of code and actual variables with experimental response values for food processing wastewater treatment

Run Code variable Actual variable Responses
x1 x2 x3 x4 x1 x2 x3 x4 Color (%) COD (%)
Observed Predicted Error (%) Observed Predicted Error (%)
1 1 1 1 -1 0.05 0.08 5 30 74.15 80.20 8.20 58.74 65.42 11.37
2 0 1 0 0 0.03 0.08 3.5 90 89.30 91.91 2.92 78.05 72.99 6.48
3 1 -1 -1 1 0.05 0.02 2 150 82.57 80.45 2.57 78.45 73.52 6.28
4 -1 0 0 0 0.01 0.05 3.5 90 80.98 68.60 15.29 67.15 76.28 13.60
5 0 0 0 0 0.03 0.05 3.5 90 75.73 75.98 0.33 81.06 79.15 2.36
6 -1 1 -1 -1 0.01 0.08 2 30 63.46 67.93 7.04 76.29 73.46 3.71
7 0 0 0 0 0.03 0.05 3.5 90 95.14 75.98 20.14 82.87 79.15 4.49
8 0 0 -1 0 0.03 0.05 2 90 61.58 61.68 0.16 84.10 81.07 3.60
9 0 0 0 0 0.03 0.05 3.5 90 64.05 75.98 18.63 76.17 79.15 3.91
10 0 -1 0 0 0.03 0.02 3.5 90 92.47 92.20 0.29 66.98 71.54 6.81
11 -1 -1 1 -1 0.01 0.02 5 30 67.52 72.92 8.00 78.67 75.66 3.83
12 0 0 0 0 0.03 0.05 3.5 90 69.70 75.98 9.01 78.67 79.15 0.61
13 1 -1 1 1 0.05 0.02 5 150 90.29 85.15 5.69 78.64 83.15 5.73
14 -1 -1 1 1 0.01 0.02 5 150 71.08 77.55 9.10 76.41 77.29 1.15
15 1 1 -1 1 0.05 0.08 2 150 77.22 80.16 3.81 78.67 82.62 5.02
16 -1 1 1 -1 0.01 0.08 5 30 69.30 72.64 4.82 65.35 69.46 6.29
17 1 1 -1 -1 0.05 0.08 2 30 85.73 75.53 11.90 66.58 64.78 2.70
18 -1 1 -1 1 0.01 0.08 2 150 68.71 72.56 5.60 76.82 81.41 5.98
19 0 0 0 -1 0.03 0.05 3.5 30 76.43 73.66 3.62 80.94 74.69 7.72
20 0 0 1 0 0.03 0.05 5 90 64.15 66.39 3.49 81.36 83.89 3.11
21 -1 1 1 1 0.01 0.08 5 150 83.46 77.27 7.42 79.04 71.1 10.05
22 1 -1 1 -1 0.05 0.02 5 30 85.83 80.52 6.19 77.67 71.62 7.79
23 1 0 0 0 0.05 0.05 3.5 90 61.48 76.20 23.94 84.50 74.87 11.40
24 0 0 0 0 0.03 0.05 3.5 90 80.39 75.98 5.49 75.98 79.15 4.17
25 0 0 0 0 0.03 0.05 3.5 90 75.14 75.98 1.12 78.67 79.15 0.61
26 -1 -1 -1 -1 0.01 0.02 2 30 76.53 68.22 10.86 64.20 64.36 0.25
27 -1 -1 -1 1 0.01 0.02 2 150 69.50 72.85 4.82 77.41 72.31 6.59
28 1 -1 -1 -1 0.05 0.02 2 30 69.89 75.81 8.47 46.68 55.67 19.26
29 0 0 0 1 0.03 0.05 3.5 150 75.93 78.29 3.11 78.67 84.43 7.32
30 1 1 1 1 0.05 0.08 5 150 91.77 84.87 7.52 78.67 76.95 2.19

Actual values; x1 = H2O2 concentration (mol/L), x2 = Fe2+ concentration (mol/L), x3 = pH and x4 = Reaction time

[Figure 2] demonstrates the plots of actual values against predicted values of color and COD removal efficiency attained from the reduced quadratic model via the Fenton oxidation process. It can be signified that the responses from the reduced regression quadratic models for all values indicated well sufficiently complying with visually confirming the conclusion as shown in [Figure 2].

[Figure 3] represents the normal percent probability versus externally studentized plot of the residuals, and it confirmed that there did not show any apparent problems with the normal probability plot. A good relationship between input and output variables could be derived from the reduced quadratic model that was established by forming a normal probability plot of the residuals. The normality assumptions were assured as the residual plot approximated along a straight line [44] for both color and COD respectively, which indicates that the reduced quadratic model is accurate for decision.

Actual versus predicted values for color and COD removal efficiency obtained from the reduced quadratic model for food processing wastewater treatment

Normal percent probability of residuals versus externally studentized residuals plots for color and COD removal efficiency derived from the reduced quadratic model for food processing wastewater treatment

Adequate precision was computed the signal to noise ratio and found that a ratio of color (7.71) and COD (6.71) is greater than 4, indicating an appropriated signal to noise ratio [35]. Hence, this reduced quadratic model could be applied to investigate the design space and to obtain the optimal operating conditions via the Fenton oxidation process. Moreover, model F-value of 2.71 indicates the reduced quadratic model is significant with only a 3.47% chance that an F-value this large could occur due to noise as shown in [Table 5] for the color. While COD, the model F-value of 2.46 suggests, the reduced quadratic model is significant with 4.39% chance that an F-value this large could occur due to noise. These results confirmed that the reduced quadratic models had enough precision for the removal of acetic acid via the Fenton oxidation process using RSM. Also, p-value Probe>F of the models showed less than 0.0500 for both color (0.0347) and COD (0.0439), indicating the models present the statistical significance. As the results. It can be seen that the classified reduced quadratic models were applied to display the response surface in three-dimensional (3D) plots and to assess the optimal operating conditions for color and COD removal efficiency via the Fenton oxidation process.

[Figures 4] and [5] illustrate that the reduced quadratic model predicted color and COD efficiency through the Fenton oxidation process. A comparison of the effects of all variable factors at the optimal operating conditions in terms of percent range for color and COD removal efficiency via Fenton oxidation process was achieved by using the perturbation plots as shown in [Figure 6]. However, the steep curvature of Fe2+ (B) concentration dose demonstrated the color removal efficiency. On the other hand, pH (C) and reaction time (D) illustrated the COD removal efficiency was extremely affected by those variables, which are clearly shown in [Figures 4] and [5] with the results previously discussed.

3D, color removal efficiency plot of Fe2+ vs. H2O2, pH vs. H2O2, Reaction time vs. H2O2, pH vs. Fe2+, Reaction time vs. Fe2+ and Reaction time vs. pH for food processing wastewater treatment

3D, COD removal efficiency plot of Fe2+ vs. H2O2, pH vs. H2O2, Reaction time vs. H2O2, pH vs. Fe2+, Reaction time vs. Fe2+ and Reaction time vs. pH for food processing wastewater treatment

Perturbation plot of color and COD removal efficiency via Fenton process at the optimal conditions: H2O2 = 0.03 mol/L (A), Fe2+ = 0.05 mol/L (B), pH = 3.5 (C) and reaction time 90 min (D) for food processing wastewater treatment

Optimum conditions of treated acetic acid using Fenton oxidation process with Response Surface Methodology and model fit

The optimization of the variable operating parameters for treated acetic acid during Fenton oxidation process was achieved with the target of desirability the highest removal efficiency for color and COD. Hence, various operational conditions were computed by using the design of the experiment software tool in covering the range of study. Obtaining the maximum percent removal efficiency was established following the desirable goals and the variable parameters of H2O2 concentration, Fe2+ concentration, initial pH, and reaction time as within the range. The desirability functions/ramps (d) were chosen to consider the various optimum conditions for the Fenton oxidation process, where the d value was set equal to 1.0. The numerical functional analysis and optimization examined that the maximum target percent removal 95.2 % for color could be obtained at H2O2 concentration of 0.004 mol/L, Fe2+ ions concentration of 0.02 mol/L, initial pH of 3.45, and reaction time of 149.08 min as shown in [Figure 7]. While, COD had a maximum target percent removal of around 84.7 % that could be obtained at H2O2 concentration of 0.014 mol/L, Fe2+ concentration of 0.051 mol/L, initial pH of 2.04, and reaction time of 144.58 min as shown in [Figure 8].

It can be concluded that Hydroxyl radicals (HO•) are an important role of reactive species, which might be the reactive species produced by the reaction of mixed Fe2+ or Fe3+ and H2O2 in water. Which it depends on the mentioned conditions as above from the viewpoint of the removal efficiency. Eq. (18) shows the mechanism of Fenton-like reaction (Fe2+:H2O2) at very slow of diffusion-controlled reaction rates (k = 0.001-0.01 M−1 s−1) [47] exists that a few short-chain carboxylic acids (-COOH) are the major by-products (originating from acetic acid) decomposition during the treatment process at a certain level of pH and reaction time:

CH3COOH + H2O2 Fe2+CO2+ H2O (18)

The significance of this study remarked that the COD 84.7% and color 95.2% removal efficiency were almost higher than of these literatures [45], [46] and similar to this research [37] as compared to triplicated runs via the Fenton process at the laboratory level.

To confirm the agreement of the reduced quadratic model and experimental results achieved, the optimum condition agreement was examined with the experimental data and found the highest percent removal of color and COD obtained. These results were achieved close to those estimated by using the reduced quadratic models as shown in eq. (16) and eq. (17). It can be concluded that using RSM module in the design of expert was appropriate for optimizing the operational conditions for color and COD removal through Fenton oxidation process.

Desirability ramps of the Fenton oxidation process at the maximum of color removal efficiency for food processing wastewater treatment

Desirability ramps of the Fenton oxidation process at the maximum of COD removal efficiency for food processing wastewater treatment


Response Surface Methodology is a mathematical method and statistics that are useful in creating trials and analyze problems, which shows the response to results from various variables to find the point or appropriateness to that result. Response surface modeling is used to create a significant problem for optimizing the levels and is also a time-taking process of varying a large number of operating variables.

RSM was successfully achieved to optimize the removal of acetic acid via Fenton oxidation process by using color and COD as a surrogate parameter. The optimum of variable operating conditions to have the maximum target of color removal 95.2 % could be obtained at H2O2 concentration of 0.004 mol/L, Fe2+ concentration of 0.02 mol/L, initial pH of 3.45, and reaction time of 149.08 min. COD had a maximum of around 84.7 % removal efficiency that could be obtained at H2O2 concentration of 0.014 mol/L, Fe2+ concentration of 0.051 mol/L, initial pH of 2.04, and reaction time of 144.58 min. Also, RSM was achieved in predicting the absolute concentration of ferrous sulfate added in the process to avoid/reduce corrosion in the system for the long run.

These findings showed that the Fenton oxidation process, at a certain level, may be used as a useful and alternative technology for pre and post-treatment of wastewater from food processing, especially preserving fruits and vegetables industry before final discharge into a nearby water body. This process is also readily available, low cost, and hence reducing acetic acid as loaded organics.

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