Color images taken by a smartphone camera were used to estimate the rate of advanced photo-oxidation reaction of Direct Red 23 (DR23) azo dye as a model organic pollutant. The red, green, blue color coordinates were tested to quantify the dye. Images of the reaction mixture were taken at specified intervals to obtain kinetic lines and reaction rate constants. Both the reaction rate constant and the final degree of degradation were plotted as functions of the photocatalyst dose and the concentration of H2O2. The smartphone measurements are fully consistent with the reference spectrophotometry data. The maximum degradation efficiency of the DR23 dye was recorded at C0(H2O2) = 2.5 mM and photocatalyst dose equal to 1.0 mg/L. Higher H2O2 concentrations reduce the degradation rate as a result of the side reaction of H2O2 with OH radicals. A two-factor experimental design was used to study the effects of photocatalyst dose and H2O2 concentration with five and seven levels, respectively. The analysis of variance results indicated that the concentration of H2O2 had the greater influence. The smartphone provides quick and easy measurement of the photodegradation rate directly in the solutions without sampling. The proposed approach can be applied under field conditions in wastewater treatment plants.

  • Smartphone-based colorimetry was used to determine the DR23 dye.

  • Dye decomposition rate was used to optimize TiO2 dose and H2O2 concentration.

  • The proposed approach can be useful in optimizing advanced photo-oxidation processes.

Usually organic contaminants are removed from wastewater by coagulation/flocculation (Liu et al. 2018; Anastopoulos et al. 2020), reverse osmosis (Naushad 2014; Tatarchuk et al. 2019b), and adsorption (Naushad 2014; Danyliuk et al. 2020b). Another approach is advanced oxidation for deep destruction of organic pollutants. Advanced photocatalytic oxidation uses solar energy to form hydroxyl radicals from hydrogen peroxide (Mironyuk et al. 2020; Tatarchuk et al. 2020). Among the various photocatalysts, the most common are TiO2 (Chen et al. 2020; Danyliuk et al. 2020a, 2020c), ZnO (Deebansok et al. 2020; Hoong et al. 2020), FeO (Sharma & Lee 2016), CdS (Liu et al. 2020), SnO2 (Karthik et al. 2018; Wang et al. 2021), and ZrO2 (Bailón-García et al. 2017; Abdi et al. 2019). These semiconductor materials have a moderate band gap and are able to form free electrons and holes under UV irradiation. The formed holes (h+vb) have a high oxidizing potential, which allows direct oxidation of organic contaminants. Quite often the formed holes and electrons recombine without any reaction. Adverse recombination of charge carriers can be reduced by modifying the surface of the photocatalyst. Yadav Yadav et al. (2017) reported a combined strategy to slow down the surface recombination process by doping TiO2 with tungsten and forming a nanocomposite with reduced graphene oxide (rGO). The TiO2 sample doped with 1 wt.% of tungsten, provides the longest life of charge carriers and the highest photocatalytic activity in the degradation of the model contaminant p-nitrophenol in an aqueous solution. It is possible that tungsten atoms reduce interband recombination in the volume of the catalyst. Reduced graphene oxide strongly interacts with TiO2. The result is rapid transfer of excited electrons to the tungsten atoms instead of surface recombination. The optimal ratio of rGO to TiO2 is 1:1 (Yadav Yadav et al. 2017).

Pham & Shin (2019) synthesized a new photocatalyst composed of molybdenum (Mo)-doped NiTiO3 and g-C3N4. The catalyst effectively inhibits recombination of electrons and holes by transferring the charge from NiTiO3 to the g-C3N4 phase. The doping of the NiTiO3 structure with Mo creates additional oxygen vacancies (VO). At the same time, new bonds are formed between N and Ti atoms. The new composite photocatalyst promotes the degradation of the Methylene Blue dye under exposure to visible light. The degradation rate constant for the composite photocatalyst is increased 6.5 times compared to the constant with pure NiTiO3. Photoluminescence spectra indicate that recombination in the composite photocatalyst is effectively slowed down by both doping with Mo and binding to g-C3N4.

The series of TiO2 photocatalysts doped with Fe3+ has revealed the effect of doping degree (Xin et al. 2007). At a low degree of doping (Fe/Ti = 0.03% mol/mol), Fe3+ ions capture free electrons and inhibit the recombination of electron-hole pairs. As a result, the reaction rate is increased. When the Fe3+ doping exceeds 0.03% mol/mol, the formed Fe2O3 nanoparticles become active centers for the rapid recombination of electrons and holes. As a result, the reaction rate is decreased.

Ferrites are known as visible light active photocatalysts (Sundararajan et al. 2017; Tatarchuk et al. 2019a). Nanometer-sized ferrite particles with the general formula Mg0.5NixZn0.5-xFe2O4 (x = 0.1–0.5) are active in the decomposition of Reactive Blue-19 (RB-19) dye. The Mg0.5Ni0.4Zn0.1Fe2O4 sample has the highest activity. The degree of decomposition as much as 99.5% was recorded after 90 min of exposure to visible light. The photoluminescence data confirmed a significant reduction in charge carrier recombination. The modified structure of spinel ferrites probably ensures the formation of aggressive ·O2− radicals resulting in rapid degradation of the RB-19 dye (Hayashi et al. 2019).

An effective way to reduce recombination of charge carriers is to add an external electron acceptor, such as H2O2 (Dionysiou et al. 2004). The reaction of H2O2 with free electrons causes the formation of highly aggressive hydroxyl radicals (Liu et al. 2012; Hayashi et al. 2019). The advantages of the H2O2 oxidizer are low cost, thermal stability, and good water solubility. However, an overdose of H2O2 can reduce the rate of photocatalytic oxidation. The excess H2O2 reacts with formed hydroxyl radicals producing less active molecular oxygen. Therefore, the optimal amount of H2O2 should be set separately for each photocatalyst and wastewater.

In the last decade, red, green, blue (RGB) measurements have often been used to determine dye concentration. The RGB color model is an additive color model in which primary red, green, and blue colors are added together to form a broad variety of other intermediate colors. RGB color is obtained by mixing red, green, and blue in different proportions: each hue can be described by three numbers, denoting the brightness of the three primary colors. Any electronic image created by digital cameras (pictures on a computer monitor, photographs on a phone screen) are based on the RGB model. The accuracy of RGB camera color measurements is acceptable for analytical purposes. The analysis of digital images taken by a smartphone can be used in analytical chemistry, including water quality monitoring (Rezazadeh et al. 2019; Golicz et al. 2020). The advantage of our simplified approach is the ability to instantly obtain the concentration of contaminant using an image from smartphone, without wasting time with solution sampling (Danyliuk et al. 2020a, 2020c). Safarik et al. (2019) described the direct determination of dye concentration with a smartphone. Image analysis was carried out using the ON Color Measure and Color Lab applications providing numerical data in the RGB and hue, saturation, lightness (HSV) color coordinates, respectively. Özdemir et al. (2017) described the determination of dyes in the 0 to 5 ppm range using a smartphone-based spectrometer and a commercial spectrophotometer.

In this work, the optimal doses of photocatalyst and oxidant in the advanced oxidation reaction were quickly estimated using a color analysis application on a smartphone. The model substance was the Direct Red 23 azo dye (DR23). The molecular structure of the DR23 dye contains the chromophore –N = N–, which is susceptible to attack by radicals. The degradation of the azo-group leads to the fading of the red color recorded in color images. The degradation rate was measured with a smartphone camera without sampling. The combined effect of photocatalyst and oxidant amounts was described quantitatively and the optimal parameters were found. The novelty and advantages of this study is the possibility to use smartphones for fast and easy measurement of the rate of dye photodegradation directly in the solutions without sampling. In recent years, smartphones are widely used for colorimetric measurements in analytical chemistry (Rezazadeh et al. 2019) and in water testing (Golicz et al. 2020). However, as far as we know, there are no studies on the use of smartphone to register rate of dye photocatalytic degradation.

Materials

The photocatalyst was commercial Aeroxide TiO2 P25 from Evonik (Shayegan et al. 2019). Reagent grade H2O2 (31.5%) was obtained from SferaSim (Ukraine). Technical grade Direct Red 23 dye (CAS 3441-14-3) was obtained from Boruta (Poland).

Characterization

Phase composition of the photocatalyst was analysed using X-ray diffraction (XRD) at λKα1 = 0.154 nm (STOE STADI P diffractometer, Germany). The pore size distribution in the P25 sample was measured by N2 adsorption/desorption at 77 K using a Quantachrome Autosorb Nova 2200e surface area analyzer.

Photodegradation experiments

The microphotoreactor has been described in a previous paper (Danyliuk et al. 2020a, 2020c). The UV irradiation source was a UV light-emitting diode (LED) (3 W). The LED brand was UV LED Epistar BIN 1. The operating paremeters were as follows: 360–365 nm, 700 mA, 8–15 lm. The model dye Direct Red 23 has the minimal value of UV absorbance at a wavelength of 360 nm. Therefore, UV irradiation with a wavelength of 365 nm causes minimal direct photolytic degradation of the dye. In this a way, the effects of the photocatalyst and oxidant are more pronounced. The reaction cuvette was filled with the exact volume (20 mL) of DR23 solution (25 mg/L). Hydrogen peroxide concentrations ranged from 0 to 10 mM. P25 photocatalyst doses ranged from 0.5 to 1.5 g/L. The reaction mixture was stirred in the dark for 20 min to reach equilibrium for the adsorption of DR23 on the TiO2 surface. Subsequently, UV irradiation was used for 30 min. A blank experiment (without UV irradiation) showed no adsorption of DR23 dye on the TiO2 surface. After the centrifugation, no undegraded DR23 dye was observed on the TiO2 surface. The TiO2 precipitate was white.

Determining the rate of degradation and the degree of degradation

The kinetic lines of DR23 dye degradation were recorded with a Samsung Galaxy A6 smartphone (SM-A600FN). At specified intervals, the microreactor was opened and images of the reaction mixture were recorded (Figure 1). Due to the white color of TiO2, the photocatalyst suspension was a good background for the DR23 dye solutions. The measurement procedure is described elsewhere (Danyliuk et al. 2020a, 2020c). To ensure better reproducibility of the color value measurements, the background of the scene was also black. The front light was a 7-W LED lamp with a color temperature of 6,500 K (Figure 1). As a result of degradation of the DR23 dye, the reaction mixtures changed color from bright red to off-white. RGB values of the registered images were obtained using the application Spectrum (available on Play Market).

Figure 1

The microreactor with open cuvette holder. The smartphone is used to capture the color of the reaction mixture.

Figure 1

The microreactor with open cuvette holder. The smartphone is used to capture the color of the reaction mixture.

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Reference measurements of DR23 dye degradation were carried out using a ULAB 102-UV spectrophotometer. After the photodegradation experiment, the photocatalyst suspension was separated by centrifugation at 4,000 rpm for 10 min. The absorbance at peak wavelength (510 nm) was then measured with 5 mm quartz cuvettes. The obtained calibration plot was a fairly straight line (R2 = 0.999) in a wide concentration range from 1 to 100 mg/L. The degree of dye degradation was calculated from the formula:
(8)
where С0 and Сf are initial and final dye concentrations.

Two-factor experimental design

Thirty-five experiments were carried out with the central composite experimental design. The two independent variables were the concentration of H2O2 (0; 0.5; 1; 2.5; 5; 7.5; 10 mM) and the dose of the TiO2 P25 photocatalyst (0.5; 0.75; 1.0; 1.25; 1.5 g/L). The dependent variables were the degradation rate constant and the final degree of degradation. The computations were made in the Design-Expert V.8.0.6 software.

XRD and Brunauer–Emmett–Teller analysis

The results of the XRD analysis of the P25 photocatalyst sample are shown in Figure 2(a). The diffractogram indicates that the sample is composed of anatase (87.9%) and rutile (12.1%) phases. This combination of TiO2 polymorphs provides the high activity of the P25 photocatalyst. The peaks at 25.3°, 37.8°, 47.6°, 53.8°, and 62.1° correspond to planes (101), (004), (200), (105), and (213) of the anatase crystal structure. The peak at 27.6° corresponds to the plane (110) of the rutile phase. The lattice parameters for anatase are a = 3.7855 Å and c = 9.5064 Å, while for rutile they are a = 4.5928 Å and c = 2.9588 Å. The average crystallite size was calculated according to the Scherrer formula:, where β(311) is the full width at half maximum of the (3 1 1) reflection, and θ is Bragg's angle of reflection. The Brunauer–Emmett–Teller analysis data of the P25 sample (N2 adsorption/desorption isotherms and pore size distribution) are presented in Figure 2(b) and 2(c). The specific surface area of the P25 sample is 31.72 m2/g. This small surface area suggests rather low adsorption properties. This is consistent with the study by Bouanimba et al. (2018) which showed that the P25 photocatalyst is not able to adsorb the Bromothymol Blue dye and it provides much faster photodegradation compared to other TiO2 samples. Moreover, previous studies have shown that the P25 photocatalyst provides rapid degradation of many organic compounds (Katal et al. 2020).

Figure 2

(a) XRD pattern, phase composition, and structural characteristics of the P25 photocatalyst. (b) N2 adsorption/desorption isotherms, and (c) pore size distribution of the P25 photocatalyst.

Figure 2

(a) XRD pattern, phase composition, and structural characteristics of the P25 photocatalyst. (b) N2 adsorption/desorption isotherms, and (c) pore size distribution of the P25 photocatalyst.

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Degradation studies

Our previous study (Danyliuk et al. 2021) substantiates the established concentrations of the DR23 dye, H2O2, and TiO2 P25. The concentrations of dyes in wastewater from the textile industry usually range from 10 to 50 mg/L (Sohrabi & Ghavami 2008). The model solution of DR23 dye had a concentration of 25 mg/L, which is in this range. Our previous study (Danyliuk et al. 2021) showed that the optimal concentration of H2O2 is 10–25 mM for the Rhodamine B dye degradation. For the dose of TiO2, it is a wider range from 0.2–3 g/L, depending on photoreactor geometry and pollutant concentration (Torkaman et al. 2016). Our previous study (Danyliuk et al. 2021) also showed that the optimal concentration of the P25 photocatalyst is 1.5 g/L for the microphotoreactor used.

Calibration lines for smartphone measurements were constructed by stepwise adding the dye stock solution directly into the reaction vial and capturing color images. The registered colors and corresponding RGB values are presented in Table 1. Among the RGB values, the R value turned out to be the most useful for determining the concentration of the DR23 dye (Figure 3). Dye DR23 has a red color and a maximum absorption at 510 nm. For this reason, the intensity of red can be used as an analytical signal during image analysis. The calibration equations for the red color component (Figure 3(a)3(c) and Table 2) showed the highest coefficient of determination (R2 is in the range from 0.979 to 0.994). This is why the R component was chosen to determine the dye DR23. The calibration coefficients are dependent on the dose of TiO2. Generally, the higher the dose of TiO2, the larger the coefficients of the equation (Table 2).

Table 1

Colors and RGB values of DR23 dye solutions at different doses of TiO2 photocatalyst

 
 
Table 2

Calibration equations for the concentration of the DR23 dye, СDR

TiO2 dose, g/LCalibration equationR2
0.50 СDR = 367.35·Red2 − 65.851·Red − 14.895 0.993 
0.75 СDR = 1,120.4·Red2 − 561.61·Red + 65.861 0.981 
1.00 СDR = 1,419.0·Red2 − 729.24·Red + 87.434 0.991 
1.25 СDR = 1,225.7·Red2 − 585.12·Red + 61.955 0.979 
1.50 СDR = 1,771.2·Red2 − 962.47·Red + 127.350 0.994 
TiO2 dose, g/LCalibration equationR2
0.50 СDR = 367.35·Red2 − 65.851·Red − 14.895 0.993 
0.75 СDR = 1,120.4·Red2 − 561.61·Red + 65.861 0.981 
1.00 СDR = 1,419.0·Red2 − 729.24·Red + 87.434 0.991 
1.25 СDR = 1,225.7·Red2 − 585.12·Red + 61.955 0.979 
1.50 СDR = 1,771.2·Red2 − 962.47·Red + 127.350 0.994 
Figure 3

Calibration lines obtained using the red (a), green (b) and blue (c) color values.

Figure 3

Calibration lines obtained using the red (a), green (b) and blue (c) color values.

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Various approaches to RGB data analysis have been reported in the literature (Colzani et al. 2017; Neto et al. 2019). The use of R, G, or B values alone provides acceptable calibrations. However, in our previous study (Danyliuk et al. 2020a, 2020c) we proposed a new normalized component R′ which is calculated as follows: . This normalized component is less susceptible to variations of the external light. The normalized component provides higher values of correlation coefficient (R2) in a wider concentration range.

The kinetic lines of degradation of the DR23 dye are presented in Figure 4 (both linear and semi-logarithmic forms). The semi-logarithmic lines (Figure 4(b), 4(d), 4(f), 4(h), 4(j)) are rather linear. This suggests that a first-order kinetic equation can be used to describe the obtained experimental data. The calculated values of the reaction rate constants are presented in Table 3. Corresponding values of the coefficient of determination (R2) range from 0.923 to 0.999 (Table 3). The high values of the coefficient of determination confirm that the reaction kinetics is well described by the first-order model.

Table 4

Summary statistics of the models for the degradation rate constant (response Y)

SourceSDR2Adjusted R2Predicted R2PressComment
2FI 0.018 0.0557 −0.0357 −0.1770 0.013  
Quadratic 0.013 0.5720 0.4982 0.3743 6.66×10−3  
Cubic 0.010 0.7508 0.6611 0.5242 5.06×10−3  
Quartic 6.45×10−3 0.9171 0.8590 0.7711 2.43×10−3 Suggested 
SourceSDR2Adjusted R2Predicted R2PressComment
2FI 0.018 0.0557 −0.0357 −0.1770 0.013  
Quadratic 0.013 0.5720 0.4982 0.3743 6.66×10−3  
Cubic 0.010 0.7508 0.6611 0.5242 5.06×10−3  
Quartic 6.45×10−3 0.9171 0.8590 0.7711 2.43×10−3 Suggested 
Figure 4

(a) Kinetic lines of photodegradation of the DR23 dye. (b) Semi-logarithmic transformations of the kinetic lines. The photocatalyst doses were the following: 0.5 g/L (a,b), 0.75 g/L (c,d), 1.0 g/L (e,f), 1.25 g/L (g,h), 1.5 g/L mg (i,j).

Figure 4

(a) Kinetic lines of photodegradation of the DR23 dye. (b) Semi-logarithmic transformations of the kinetic lines. The photocatalyst doses were the following: 0.5 g/L (a,b), 0.75 g/L (c,d), 1.0 g/L (e,f), 1.25 g/L (g,h), 1.5 g/L mg (i,j).

Close modal

In general, a photocatalyst dose equal to 1.0 g/L (20 mg) provides higher values of the reaction rate constant (Table 3). The maximum value of the reaction rate constant (k = 0.0889 min−1) was recorded at TiO2 dose equal to 1.0 g/L (20 mg) and H2O2 concentration equal to 2.5 mM.

Table 3

Experimental values of the reaction rate constant and the degree of degradation

Independent variables
First-order kinetics
Degradation degree, %
A TiO2 dose (mg)B H2O2 concentration (mM)Rate constant, min−1Coefficient of determination, r2
10 0.0101 0.953 23.69 
10 0.5 0.0407 0.957 64.40 
10 0.0410 0.972 69.40 
10 2.5 0.0511 0.956 74.89 
10 0.0483 0.992 75.10 
10 7.5 0.0411 0.964 67.94 
10 10 0.0416 0.962 67.24 
15 0.0103 0.990 25.91 
15 0.5 0.0340 0.990 65.51 
15 0.0496 0.991 75.36 
15 2.5 0.0564 0.999 81.27 
15 0.0630 0.998 85.29 
15 7.5 0.0409 0.980 67.16 
15 10 0.0371 0.979 62.97 
20 0.0230 0.990 48.56 
20 0.5 0.0502 0.983 74.81 
20 0.0758 0.961 87.09 
20 2.5 0.0889 0.990 92.9 
20 0.0757 0.965 86.86 
20 7.5 0.0721 0.973 85.17 
20 10 0.0484 0.991 75.97 
25 0.0207 0.990 48.62 
25 0.5 0.0472 0.977 75.71 
25 0.0504 0.990 75.78 
25 2.5 0.0607 0.995 82.22 
25 0.0550 0.990 78.85 
25 7.5 0.0566 0.979 78.23 
25 10 0.0371 0.994 65.96 
30 0.0198 0.923 51.18 
30 0.5 0.0456 0.931 71.46 
30 0.0461 0.947 69.54 
30 2.5 0.0656 0.951 80.82 
30 0.0596 0.972 80.92 
30 7.5 0.0403 0.957 66.84 
30 10 0.0390 0.975 64.88 
Independent variables
First-order kinetics
Degradation degree, %
A TiO2 dose (mg)B H2O2 concentration (mM)Rate constant, min−1Coefficient of determination, r2
10 0.0101 0.953 23.69 
10 0.5 0.0407 0.957 64.40 
10 0.0410 0.972 69.40 
10 2.5 0.0511 0.956 74.89 
10 0.0483 0.992 75.10 
10 7.5 0.0411 0.964 67.94 
10 10 0.0416 0.962 67.24 
15 0.0103 0.990 25.91 
15 0.5 0.0340 0.990 65.51 
15 0.0496 0.991 75.36 
15 2.5 0.0564 0.999 81.27 
15 0.0630 0.998 85.29 
15 7.5 0.0409 0.980 67.16 
15 10 0.0371 0.979 62.97 
20 0.0230 0.990 48.56 
20 0.5 0.0502 0.983 74.81 
20 0.0758 0.961 87.09 
20 2.5 0.0889 0.990 92.9 
20 0.0757 0.965 86.86 
20 7.5 0.0721 0.973 85.17 
20 10 0.0484 0.991 75.97 
25 0.0207 0.990 48.62 
25 0.5 0.0472 0.977 75.71 
25 0.0504 0.990 75.78 
25 2.5 0.0607 0.995 82.22 
25 0.0550 0.990 78.85 
25 7.5 0.0566 0.979 78.23 
25 10 0.0371 0.994 65.96 
30 0.0198 0.923 51.18 
30 0.5 0.0456 0.931 71.46 
30 0.0461 0.947 69.54 
30 2.5 0.0656 0.951 80.82 
30 0.0596 0.972 80.92 
30 7.5 0.0403 0.957 66.84 
30 10 0.0390 0.975 64.88 
Table 5

Summary statistics of the models for the degree of degradation (response Z)

SourceSDR2Adjusted R2Predicted R2PressComment
2FI 15.41 0.1081 0.0218 −0.1526 9,177.16  
Quadratic 11.20 0.5433 0.4645 0.3239 5,383.66  
Cubic 8.85 0.7540 0.6654 0.5300 3,742.42  
Quartic 7.05 0.8751 0.7876 0.6123 3,087.29 Suggested 
SourceSDR2Adjusted R2Predicted R2PressComment
2FI 15.41 0.1081 0.0218 −0.1526 9,177.16  
Quadratic 11.20 0.5433 0.4645 0.3239 5,383.66  
Cubic 8.85 0.7540 0.6654 0.5300 3,742.42  
Quartic 7.05 0.8751 0.7876 0.6123 3,087.29 Suggested 

The reference data were the final dye degradation values determined by spectrophotometric measurements at 510 nm. The numerical values of final degree of degradation are presented in Table 3. Figure 5 shows the 3D graph of the dye degradation degree as a function of the photocatalyst dose (A) and the concentration of H2O2 (B). The maximum degradation efficiency of DR23 was achieved at a concentration of H2O2 of 2.5 mM and a photocatalyst dose of 1.0 g/L. Higher concentrations of H2O2 and photocatalyst doses lead to a lower degree of degradation. The probable causes are reduced penetration of UV radiation into the reaction volume and a side reaction of H2O2 with hydroxyl radicals. Figure 6 shows the surface plot of the final degree of degradation (%) as a function of the photocatalyst dose (A) and the concentration of H2O2 (B).

Figure 5

Surface plot of the reaction rate constant as a function of the photocatalyst dose (A) and the concentration of H2O2 (B).

Figure 5

Surface plot of the reaction rate constant as a function of the photocatalyst dose (A) and the concentration of H2O2 (B).

Close modal
Figure 6

Surface plot of the final degree of degradation (%) as a function of the photocatalyst dose (A) and the concentration of H2O2 (B).

Figure 6

Surface plot of the final degree of degradation (%) as a function of the photocatalyst dose (A) and the concentration of H2O2 (B).

Close modal
Hydrogen peroxide can react with electrons from the conduction band of TiO2, and with superoxide radicals to form hydroxyl radicals (Sahel et al. 2016):
(8)
(8)
If the concentration of H2O2 is high, reactions occur with holes and hydroxyl radicals:
(8)
(8)
(8)

We observed this phenomenon during experiments.

Data reliability analysis

The central composite experimental design used a two-factor matrix. The independent variables were the photocatalyst dose (in mg) and the concentration of H2O2 (in mM) decoded as A and B, respectively. The dependent parameters were the degradation rate constant (Y) and the final degree of degradation (Z). Polynomial functions for both parameters were computed on the basis of the experimental data presented in Table 4.

The relationship between the parameters A, B, and Y is described by the following quartic equation:
(1)

Using the obtained Equation (1), the predicted values of the degradation rate constants were calculated. The predicted values were plotted against the actual experimental values (Figure 7). The coefficient of determination R2 is 0.917. This indicates that the obtained equation is quite reliable.

Figure 7

The predicted values of the degradation rate constant compared to the actual experimental values.

Figure 7

The predicted values of the degradation rate constant compared to the actual experimental values.

Close modal
The relationship between the parameters A, B, and Z is described by the following quartic equation:
(2)

Using the obtained Equation (2), the predicted values of the degradation rate constants were calculated. The predicted values were plotted against the actual experimental values (Figure 8). The coefficient of determination R2 is 0.675. This indicates that the obtained equation is quite reliable. The summary statistics of the models for the degree of degradation is presented in Table 5.

Figure 8

The predicted values of the degree of degradation compared to the actual experimental values.

Figure 8

The predicted values of the degree of degradation compared to the actual experimental values.

Close modal

Validity of the obtained quartic models was also assessed using analysis of variance (ANOVA). Tables 6 and 7 show the results of evaluation. ANOVA divides the full variance of the results into two parts: one related to the model and the other related to the experimental errors. The goal is to determine whether the deviation from the model is significant or not. This is done by calculating the value of F, expressed as the ratio of the quartic error to the residual error of the mean model. If the calculated value of F exceeds the value of the tabular value of F, then the model has a strong deviation from the experimental data.

Table 6

ANOVA for quartic model for the degradation rate constant (response Y)

SourceSum of squaresdfMean squareF-valuep-valueComment
Model 9.767 × 10−3 14 9.767 × 10−3 15.80 <0.0001 Significant 
Photocatalyst loading (A) 6.000 × 10−5 6.000 × 10−5 1.36 0.2575  
H2O2 concentration (B) 9.232 × 10−4 9.232 × 10−4 20.91 0.0002  
AB 8.363 × 10−7 8.363 × 10−7 0.019 0.8919  
A2 1.583 × 10−3 1.583 × 10−3 35.85 <0.0001  
B2 1.032 × 10−5 1.032 × 10−5 0.23 0.6340  
A22.084 × 10−6 2.084 × 10−6 0.047 0.8302  
AB2 9.435 × 10−6 9.435 × 10−6 0.21 0.6489  
A3 1.261 × 10−5 1.261 × 10−5 0.29 0.5989  
B3 1.537 × 10−3 1.537 × 10−3 34.81 <0.0001  
A2B2 2.223 × 10−4 2.223 × 10−4 5.03 0.0363  
A35.991 × 10−8 5.991 × 10−8 1.357 × 10−3 0.9710  
AB3 1.169 × 10−6 1.169 × 10−6 0.026 0.8724  
A4 1.054 × 10−3 1.054 × 10−3 23.86 <0.0001  
B4 4.938 × 10−4 4.938 × 10−4 11.18 0.0032  
Residual 8.832 × 10−4 20 4.416 × 10−5    
Corr total 0.011 34     
SourceSum of squaresdfMean squareF-valuep-valueComment
Model 9.767 × 10−3 14 9.767 × 10−3 15.80 <0.0001 Significant 
Photocatalyst loading (A) 6.000 × 10−5 6.000 × 10−5 1.36 0.2575  
H2O2 concentration (B) 9.232 × 10−4 9.232 × 10−4 20.91 0.0002  
AB 8.363 × 10−7 8.363 × 10−7 0.019 0.8919  
A2 1.583 × 10−3 1.583 × 10−3 35.85 <0.0001  
B2 1.032 × 10−5 1.032 × 10−5 0.23 0.6340  
A22.084 × 10−6 2.084 × 10−6 0.047 0.8302  
AB2 9.435 × 10−6 9.435 × 10−6 0.21 0.6489  
A3 1.261 × 10−5 1.261 × 10−5 0.29 0.5989  
B3 1.537 × 10−3 1.537 × 10−3 34.81 <0.0001  
A2B2 2.223 × 10−4 2.223 × 10−4 5.03 0.0363  
A35.991 × 10−8 5.991 × 10−8 1.357 × 10−3 0.9710  
AB3 1.169 × 10−6 1.169 × 10−6 0.026 0.8724  
A4 1.054 × 10−3 1.054 × 10−3 23.86 <0.0001  
B4 4.938 × 10−4 4.938 × 10−4 11.18 0.0032  
Residual 8.832 × 10−4 20 4.416 × 10−5    
Corr total 0.011 34     
Table 7

ANOVA for quartic model for degradation extent (response Z)

SourceSum of squaresdfMean squareF-valuep-valueComment
Model 6,947.24 11 631.57 14.31 <0.0001 Significant 
Photocatalyst dose (A) 17.88 17.88 0.41 0.5307  
Concentration of H2O2 (B) 701.20 701.20 15.89 0.0006  
AB 41.78 41.78 0.95 0.3707  
A2 391.16 391.16 8.86 0.0067  
B2 131.23 131.23 2.97 0.0981  
AB2 63.29 63.29 1.43 0.2433  
A3 23.80 23.00 0.54 0.4701  
B3 1,263.46 1,263.46 28.63 <0.0001  
AB3 107.11 107.11 2.43 0.1329  
A4 266.11 266.11 6.03 0.0220  
B4 570.74 570.74 12.93 0.0012  
Residual 1,015.11 23 44.14    
Corr Total 7,962.35 34     
SourceSum of squaresdfMean squareF-valuep-valueComment
Model 6,947.24 11 631.57 14.31 <0.0001 Significant 
Photocatalyst dose (A) 17.88 17.88 0.41 0.5307  
Concentration of H2O2 (B) 701.20 701.20 15.89 0.0006  
AB 41.78 41.78 0.95 0.3707  
A2 391.16 391.16 8.86 0.0067  
B2 131.23 131.23 2.97 0.0981  
AB2 63.29 63.29 1.43 0.2433  
A3 23.80 23.00 0.54 0.4701  
B3 1,263.46 1,263.46 28.63 <0.0001  
AB3 107.11 107.11 2.43 0.1329  
A4 266.11 266.11 6.03 0.0220  
B4 570.74 570.74 12.93 0.0012  
Residual 1,015.11 23 44.14    
Corr Total 7,962.35 34     

The obtained value of F = 15.80 proves the usefulness of the model. It was found that A, B, A2, B3, A2B2, A4, B4 are important parameters of the model, while AB, B2, A2B, AB2, A3, A3B, and AB3 are insignificant parameters for the correct description of the reaction rate constant. The F values in Table 6 indicate that variable B (concentration of H2O2) has a more significant effect on the reaction rate constant compared to variable A (photocatalyst dose).

The obtained value of F = 14.31 proves the usefulness of the model. The model parameters B, A2, B2, A3, B3, A4, and B4 are significant ones, while the parameters A, AB, AB2, and AB3 are insignificant ones. The F values in Table 7 indicate that variable B (concentration of H2O2) has a more significant effect on the degree of degradation compared to variable A (photocatalyst dose).

In this work, the optimal doses of photocatalyst TiO2 (P25, Degussa) and oxidant H2O2 in the advanced oxidation process were quickly estimated using a color analysis application on a smartphone. Photocatalytic degradation of the DR23 dye was used as a model reaction. The Samsung Galaxy A6 smartphone showed good repeatability for the DR23 dye determination via color measurements. Thus, the rate of the advanced oxidation reaction was measured with the smartphone camera without sampling. Standard spectrophotometric measurements were used as reference data. The two measuring techniques produce very similar results. Surface response graphs plotted in the Design-Expert software are convenient for comparison purposes. The optimal doses of TiO2 and H2O2 were determined. It was concluded that the maximum degradation efficiency of DR23 was achieved at H2O2 initial concentration equal to 2.5 mM and photocatalyst dose equal to 1.0 g/L. The higher H2O2 concentrations lead to degradation reduction due to the side reaction of H2O2 with OH radicals and decreased penetration of UV radiation into the reaction volume. Smartphone measurements are useful for fine-tuning the oxidation parameters. The proposed approach can be applied under field conditions in wastewater treatment plants.

The authors thank the Ministry of Education and Science of Ukraine for financial support in the framework of projects 0120U104158 and 0120U102035.

All relevant data are included in the paper or its Supplementary Information.

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