In this study, the influence of total suspended solids (TSS) and particle size as well as effluent temperature on peracetic acid (PAA) decomposition kinetics in municipal wastewater was investigated. PAA decomposition was best described following second order kinetics in primary effluent (PE) and first order kinetics in secondary effluent (SE) samples. For synthetic samples prepared by varying TSS levels, PAA demand increased on average by about 0.042 mg/L in PE and 0.034 mg/L in SE for every 10 mg/L increase in TSS. Similarly, the PAA decay rate constant in these samples increased at a rate of 0.0014 L/mg.min and 0.00039 min−1, respectively, per 10 mg/L TSS. To examine the effect of particle size, synthetic samples with narrow size fractions (20–45, 45–75, and 75–90 μm) were prepared. It was found that samples with smaller particle size fractions had a greater PAA demand and decay rate constant. Effluent temperature also enhanced the PAA decomposition rate with the calculated activation energies for PE and SE samples being 29,980 J/mol and 34,860 J/mol, respectively.

PAA

Peracetic acid

TSS

Total suspended solids

PE

Primary effluent

SE

Secondary effluent

CT

Concentration of PAA × contact time (mg.min/L)

COD

Chemical oxygen demand

MLSS

Mixed liquor suspended solids

CPAA

Residual PAA concentration (mg/L)

CPAAo

Initial PAA spike concentration (mg/L)

D

PAA demand (mg/L)

t

Contact time (min)

kd1

First order decay rate constant (min−1)

kd2

Second order decay rate constant (L/mg.min)

ORP

Oxidation-reduction potential

Peracetic acid (PAA) is an effective disinfectant that has been reportedly used for wastewater treatment as a substitute for chlorine-based compounds (Koivunen & Heinonen-Tanski 2005; Zanetti et al. 2007; De Luca et al. 2008; Beber de Souza et al. 2015). PAA is a strong oxidizing agent with biocidal properties (Luukkonen et al. 2014). The main advantage of PAA disinfection over chlorination is the minimal associated toxic by-products (Kitis 2004; McFadden et al. 2017). The disinfection mechanism of PAA is due to its oxidative nature, causing organism cell membrane damage and thereby inactivation of biological species. Understanding the decomposition behaviour of PAA in municipal wastewater is critical for identifying optimal operating conditions and PAA dose delivery requirements.

In water, PAA decomposes to form acetic acid and oxygen according to the following reaction pathways (Yuan et al. 1997).

Spontaneous decomposition:
(1)
Hydrolysis:
(2)
Catalytic decomposition induced by transition metals:
(3)

It has been shown that wastewater quality parameters such as temperature, pH, organic content, chemical oxygen demand (COD), biochemical oxygen demand, and total suspended solids (TSS) impact the consumption of PAA in water and wastewater (Baldry et al. 1995; Stampi et al. 2002; Wagner et al. 2002; Dell'Erba et al. 2004; Rossi et al. 2007; Kunigk et al. 2012; Pedersen et al. 2013; Kunigk et al. 2014; Luukkonen et al. 2015; Henao et al. 2018a, 2018b).

Henao et al. (2018a) reported that the effect of organics such as proteins on the PAA demand and decay was pronounced within the first five minutes of contact time. In another study, the same authors reported that the PAA oxidative demand was a function of TSS and the decay rate correlated strongly with both the suspended and soluble matter (Henao et al. 2018b). Furthermore, given that 30–85% of suspended organic matter in wastewater has been associated with particles between 0.1 and 100 μm (Levine et al. 1985), it is expected that particle size may play a role in the PAA decomposition kinetics. This effect, however, has not been captured in previous literature. Falsanisi et al. (2008), for instance, reported that TSS particles larger than 120 μm and within the 10–120 μm range had the same PAA consumption (i.e. reduction in PAA concentration after 40 min).

Temperature is also a contributing factor to PAA decomposition. Baldry et al. (1995) and Stampi et al. (2001) reported that the disinfection activity of PAA in secondary effluent was improved in warmer temperatures. Kunigk et al. (2012) reported a positive correlation between increased temperature and PAA decomposition rate in synthetic samples containing organic matter. In two other studies, the same authors reported first order reaction kinetics for the decomposition of PAA in aqueous solutions containing organic compounds, within a temperature range of 25–45 °C and a pH range of 3–7 (Kunigk et al. 2001; Kunigk et al. 2014). However, the effect of temperature on the decomposition kinetics of PAA in wastewater has not been systematically studied.

In this paper, the kinetics of PAA decomposition in the presence of narrowly fractionated primary and secondary effluent suspended solids is investigated. To our knowledge, this is the first systematic study to compare the PAA decomposition kinetics of isolated effluent suspended solids size fractions. In addition, the impact of wastewater temperature on the kinetics of PAA decomposition and its potential implications on the required PAA dose to meet effluent quality targets in primary and secondary effluents are examined.

Samples

Primary effluent (PE), secondary effluent (SE), and mixed-liquor suspended solids (MLSS) samples were collected from a large municipal wastewater treatment plant in Toronto, Ontario, Canada, between December 2015 and February 2018. All samples were collected via the grab sampling method and tested within 48 h of collection and were refrigerated in between experiments.

In addition to the as-received wastewater samples, synthetic samples with a wide range of TSS and samples containing a narrow particle size distribution were prepared according to the following procedures.

Samples with varying TSS

To examine the effect of TSS concentration on PAA demand and decay, synthetic wastewater samples with varying TSS were prepared. For synthetic PE samples, 500 mL of the as-received PE was centrifuged at 3,000 rpm for 15 min. The centrifuged samples were then decanted, and the precipitated suspended solids were re-suspended in the supernatant at varying known amounts. For synthetic SE samples, first the TSS of the as-received SE sample as well as MLSS sample collected on the same day were measured using vacuum filtration following APHA standard method 2540D. Then, pre-determined amounts of the MLSS were added to a fixed total volume of the filtered SE to prepare synthetic samples with varying TSS levels. The TSS of these samples was then measured and recorded.

Samples with narrow particle size fractions

To study the effect of TSS particle size, sieving was used to prepare synthetic samples with isolated particle size fractions according to the procedure described elsewhere (Yuan & Farnood 2010; Azimi et al. 2012; Tan et al. 2017). In brief, for synthetic PE samples, 4 L of as-received PE was sieved successively through standard sieving trays (USA Standard Testing Sieve) with openings of 90, 75, 45, and 20 μm. Collected particles were gently washed with distilled water for 10 min to ensure that the obtained sample contained only particles within the desired size fraction. Each size fraction was then re-suspended in 250 mL of filtered PE. Filtered PE samples were obtained by passing the as-received PE through 1.2 μm Whatman® glass fiber filters (WHA1822047). For synthetic SE samples, 500 mL of MLSS was sieved through the abovementioned sieving trays, washed thoroughly with distilled water, and the obtained size fractions were re-suspended in 250 mL of filtered SE. TSS of the samples was measured and adjusted to 20–24 mg/L in PE samples, and 1–2 mg/L in SE samples prior to testing.

Effluent characterization

The TSS of each sample was measured using vacuum filtration and 1.2 μm Whatman glass fiber filters following APHA standard method 2540D. COD was measured using a Hach COD reactor digestion kit (Method 8000). The pH and oxidation-reduction potential (ORP) measurements were obtained using a REED Instruments SD-230 pH/ORP datalogger (Newmarket, ON, Canada), and sample conductivity was measured using an OMEGA Engineering CDH221 meter (Laval, Quebec, Canada). The particle size distribution was measured using a Beckman Coulter MultiSizer 3 particle size analyzer equipped with a 280 μm aperture tube with dynamic range of 5.6–168 μm. NaCl solution with a concentration of 10.9 g/L was used as the electrolyte solution and the particle concentration was adjusted in the range of 5–10%.

PAA decomposition kinetics

The PAA stock solution of 22% wt (Peragreen 22WW) was obtained from EnviroTech PeraGreen Solutions (Modesto, CA. USA). For the PAA decomposition tests, a 250 mL aliquot of each prepared sample was spiked with a dosage of 5–8 mg/L of PAA for a total duration of 40 min at room temperature (20–25 °C). The residual PAA concentration was measured over time using the diethyl-p-phenylene diamine colorimetric method (APHA Standard Method 4500-Cl.G-2000) with a CHEMetrics® PAA test kit (Rice et al. 2017). Control experiments were also conducted using Milli-Q water (18.2 MΩ.cm resistivity at 25 °C) to compare the decomposition behaviour of PAA in organic-free water. For the effect of temperature on PAA decomposition, PE and SE samples were kept in fixed-temperature water baths during the experiments to maintain a temperature of 10, 20 or 30 °C.

Kinetic modelling

First order (Equation (4)) and second order (Equation (5)) kinetic models were used to examine the PAA decay in wastewater samples:
(4)
(5)
where CPAAo is the initial PAA concentration (mg/L), CPAA is the residual PAA concentration in the sample after contact time t (min), D is the PAA demand (mg/L), kd1 represents the first order decay rate constant (min−1) and kd2 is the second order decay rate constant (L/mg.min). In this study, PAA demand was defined as the decrease in the PAA concentration 30 s after its addition to the sample.

In this manuscript, all reported demand values are the numeric difference between the PAA spike concentration and the PAA concentration after 30 s, and all reported decay values were derived using data collected between 30 s and 40 min.

Effective dosage for PAA is typically described by the CT value defined as the integral of PAA concentration with respect to contact time (Santoro et al. 2015). CT values can be calculated for the first and second order kinetics from the following expressions, respectively:
(6)
(7)

CT is a common measure for the effective disinfectant dosage. As described earlier, there are a number of reaction pathways that facilitate the gradual decay of available PAA (i.e spontaneous decomposition, hydrolysis, catalytic decomposition). Therefore, using the experimental demand and decay rate constant values to calculate CT will help with determining the delivered concentration of PAA available for disinfection.

PAA demand and decay

Figure 1 presents typical demand and decay curves for PAA decomposition for as-received PE and SE samples at room temperature (20–25 °C). For PE samples, PAA decay was found to follow a second order rate law with respect to PAA concentration (R2 = 0.98), while both first order and second order kinetics properly described the PAA consumption behaviour in SE samples with R2 values of 0.95 and 0.96 respectively. In this manuscript, first order kinetics has been selected for the kinetic modelling of SE.

Figure 1

Typical PAA decomposition kinetics in as-received PE (circles) and SE (triangles) samples as well as in Milli-Q water (squares). Initial PAA concentrations were 8, 5, and 5 mg/L in PE, SE and Milli-Q water samples, respectively. Dashed lines represent model curves best fit to first order kinetics, while solid lines represent model curves best fit to second order kinetics for each SE and PE sample. Dotted line represents the slow first order decay of PAA in Milli-Q water. Wastewater samples shown on this figure were collected on March 3, 2016.

Figure 1

Typical PAA decomposition kinetics in as-received PE (circles) and SE (triangles) samples as well as in Milli-Q water (squares). Initial PAA concentrations were 8, 5, and 5 mg/L in PE, SE and Milli-Q water samples, respectively. Dashed lines represent model curves best fit to first order kinetics, while solid lines represent model curves best fit to second order kinetics for each SE and PE sample. Dotted line represents the slow first order decay of PAA in Milli-Q water. Wastewater samples shown on this figure were collected on March 3, 2016.

Close modal

This result suggests that spontaneous decomposition (Equation (1)) in the presence of organics was likely the dominant mechanism for PAA decay in PE, while hydrolysis (Equation (2)) and/or catalytic decomposition (Equation (3)) – potentially due to residual metal ions from coagulant use in the secondary treatment process – were more important in the case of SE samples. Compared to wastewater samples, the decomposition of PAA in Milli-Q water began with a relatively small demand of 0.28 mg/L, followed by a slow first order decay profile (kd1 = 0.0004 min−1) over the course of 40 min.

PAA demand and decay rate constant as well as calculated CT for as-received SE and PE samples collected in this study are summarized in Tables 1 and 2, respectively. CT values were calculated using Equations (6) and (7) at a constant initial PAA concentration of 5 mg/L. For comparison, literature data for various types of effluents as well as tap water are also included in Table 1.

Table 1

Comparison of PAA demand (D) and first order decay rate constant (kd1) for secondary effluent (SE), tertiary effluent (TE), Milli-Q water (MQ), tap water (TW), and recirculating aquaculture system (AQ) at ambient temperature (N.A.: not available)

SampleTSS (mg/L)COD (mg/L)CPAAo (mg/L)D (mg/L)kd1 (min−1)CTa (mg.min/L)Reference
TW N.A. N.A. 15.0 0.81 0.0003 – Luukkonen et al. (2015)  
TW N.A. N.A. 1.0–15.0 N.A. 0.007 – Rossi et al. (2007)  
AQ N.A. 19–24 0–2.0 >0.20 N.A. – Pedersen et al. (2013)  
TE N.A. 53.4 15.0 0.79 0.0038 – Luukkonen et al. (2015)  
SE 6.0 45.0 1.5–8.5 0.44 0.0028 – Falsanisi et al. (2006)  
SE 2.7 <15 1.0–15.0 0.42 0.0080 – Rossi et al. (2007)  
SE 8.8 43 1.0–15.0 0.78 0.0013 – Rossi et al. (2007)  
MQ N.A. N.A. 5.0 0.28 0.0004 279.8 Present work 
SE 3.3 34.0 5.4 0.73 0.0067 211.0 Present work (Dec 16, 2015) 
SE 9.0 40.5 5.2 0.90 0.0073 199.2 Present work (Jan 11, 2016) 
SE 8.0 45.5 4.9 0.49 0.0052 232.5 Present work (Feb 1, 2016) 
SE 4.0 39.0 4.9 0.37 0.0046 242.8 Present work (Mar 3, 2016) 
SE 5.0 25.5 5.1 0.68 0.0038 231.8 Present work (Mar 10, 2016) 
SE 4.0 N.A. 4.6 0.53 0.0042 237.1 Present work (Feb 27, 2018) 
SampleTSS (mg/L)COD (mg/L)CPAAo (mg/L)D (mg/L)kd1 (min−1)CTa (mg.min/L)Reference
TW N.A. N.A. 15.0 0.81 0.0003 – Luukkonen et al. (2015)  
TW N.A. N.A. 1.0–15.0 N.A. 0.007 – Rossi et al. (2007)  
AQ N.A. 19–24 0–2.0 >0.20 N.A. – Pedersen et al. (2013)  
TE N.A. 53.4 15.0 0.79 0.0038 – Luukkonen et al. (2015)  
SE 6.0 45.0 1.5–8.5 0.44 0.0028 – Falsanisi et al. (2006)  
SE 2.7 <15 1.0–15.0 0.42 0.0080 – Rossi et al. (2007)  
SE 8.8 43 1.0–15.0 0.78 0.0013 – Rossi et al. (2007)  
MQ N.A. N.A. 5.0 0.28 0.0004 279.8 Present work 
SE 3.3 34.0 5.4 0.73 0.0067 211.0 Present work (Dec 16, 2015) 
SE 9.0 40.5 5.2 0.90 0.0073 199.2 Present work (Jan 11, 2016) 
SE 8.0 45.5 4.9 0.49 0.0052 232.5 Present work (Feb 1, 2016) 
SE 4.0 39.0 4.9 0.37 0.0046 242.8 Present work (Mar 3, 2016) 
SE 5.0 25.5 5.1 0.68 0.0038 231.8 Present work (Mar 10, 2016) 
SE 4.0 N.A. 4.6 0.53 0.0042 237.1 Present work (Feb 27, 2018) 

aPAA dose at 60 min contact time using an initial concentration of 5 mg/L estimated using Equation (6).

Table 2

PAA demand (D) and second order decay rate constant (kd2) for primary effluent at ambient temperature

TSS (mg/L)COD (mg/L)CPAAo (mg/L)D (mg/L)kd2 (L/mg.min)CTa (mg.min/L)Reference
22.0 365.0 21.0–28.0 19.70 0.0082 – Falsanisi et al. (2006)  
115.5 321.5 4.9 0.52 0.0059 161 Present work (Dec 16, 2015) 
90.0 250.0 8.0 2.68 0.0085 91.9 Present work (Mar 3, 2016) 
100.0 306.0 8.0 3.46 0.0077 69.8 Present work (Mar 10, 2016) 
56.4 167.0 4.4 0.21 0.0043 187.1 Present work (Jun 2, 2017) 
86.6 260.0 4.6 0.94 0.0082 132.6 Present work (Aug 15, 2017) 
78 .0 260.0 5.9 1.29 0.0062 139.9 Present work (Jan 30, 2018) 
86.0 271.0 6.5 2.01 0.0073 114.7 Present work (Jan 30, 2018) 
128.0 386.0 5.5 1.40 0.0094 117.9 Present work (Sept 18, 2018) 
TSS (mg/L)COD (mg/L)CPAAo (mg/L)D (mg/L)kd2 (L/mg.min)CTa (mg.min/L)Reference
22.0 365.0 21.0–28.0 19.70 0.0082 – Falsanisi et al. (2006)  
115.5 321.5 4.9 0.52 0.0059 161 Present work (Dec 16, 2015) 
90.0 250.0 8.0 2.68 0.0085 91.9 Present work (Mar 3, 2016) 
100.0 306.0 8.0 3.46 0.0077 69.8 Present work (Mar 10, 2016) 
56.4 167.0 4.4 0.21 0.0043 187.1 Present work (Jun 2, 2017) 
86.6 260.0 4.6 0.94 0.0082 132.6 Present work (Aug 15, 2017) 
78 .0 260.0 5.9 1.29 0.0062 139.9 Present work (Jan 30, 2018) 
86.0 271.0 6.5 2.01 0.0073 114.7 Present work (Jan 30, 2018) 
128.0 386.0 5.5 1.40 0.0094 117.9 Present work (Sept 18, 2018) 

aPAA dose at 60 min contact time using an initial concentration of 5 mg/L estimated using Equation (7).

From the results, the average PAA demand for the as-received SE samples in the present work was 0.61 mg/L which was about 40% of that of the as-received PE samples (1.56 mg/L). This was likely due to the higher concentration of organic matter in the PE compared to the SE samples (see Table 3). In addition, the PAA demand for PE samples exhibited more variability (coefficient of variation = 75%) than that of SE samples (coefficient of variation = 30%), likely due to the greater daily variations in primary effluent quality.

Table 3

Physicochemical characteristics of as-received PE and SE (N = 5 for all measurements)

ParameterPE
SE
MinMaxMeanMinMaxMean
COD (mg/L) 250 322 282 26 46 37 
TSS (mg/L) 81 116 96 3.3 5.9 
pH 6.6 7.4 6.9 6.6 6.8 6.7 
ORP (mV) 40 115 62 84 241 163 
Conductivity (mS/cm) 3.5 4.1 3.7 1.8 3.9 2.8 
ParameterPE
SE
MinMaxMeanMinMaxMean
COD (mg/L) 250 322 282 26 46 37 
TSS (mg/L) 81 116 96 3.3 5.9 
pH 6.6 7.4 6.9 6.6 6.8 6.7 
ORP (mV) 40 115 62 84 241 163 
Conductivity (mS/cm) 3.5 4.1 3.7 1.8 3.9 2.8 

PE samples exhibited a higher PAA decay rate than SE samples, once again likely due to their higher levels of organics. However, regression analysis showed that the PAA decay rate constants for the as-received PE and SE samples were strongly correlated with the PAA demand with a Pearson correlation of 0.69; i.e. about 47% of variations in kd could be explained by variations in D. This finding suggests that while PAA demand and decay represented different mechanisms for PAA consumption, they were partly affected by similar water quality parameters.

Effect of TSS on PAA decomposition

Comparing the pairwise coefficients of correlation in Table 4 shows that 13–16% of variations in PAA demand and 18–26% of variations in decay rate constant for PE and SE samples could be explained by TSS.

Table 4

Pairwise coefficient of determination for PAA demand, PAA decay rate constant, and the calculated CT values versus effluent quality parameters for as-received PE and SE samples

PE
SE
TSSCODTSSCOD
Demand (mg/L) 0.13 0.16 0.16 0.07b 
Decay rate constanta 0.26 0.20 0.18 0.17 
CT @ 60 min (mg.min/L) 0.20 0.25 0.20 0.00 
PE
SE
TSSCODTSSCOD
Demand (mg/L) 0.13 0.16 0.16 0.07b 
Decay rate constanta 0.26 0.20 0.18 0.17 
CT @ 60 min (mg.min/L) 0.20 0.25 0.20 0.00 

aThe decay rate constants for PE and SE samples are in L/mg.min and min−1, respectively.

bNegative correlation.

In order to better understand the role of TSS in PAA decomposition kinetics, synthetic PE and SE samples with varying TSS levels were prepared, according to the procedure described earlier. Figure 2 shows that PAA demand on average increased by about 0.042 and 0.034 mg/L in PE and SE samples, respectively, for every 10 mg/L increase in TSS.

Figure 2

PAA demand for synthetic PE and SE samples with varying TSS levels represented by solid symbols and open symbols, respectively. Initial PAA concentration was between 4.5 and 6.5 mg/L for all samples.

Figure 2

PAA demand for synthetic PE and SE samples with varying TSS levels represented by solid symbols and open symbols, respectively. Initial PAA concentration was between 4.5 and 6.5 mg/L for all samples.

Close modal

PAA decay rate constants for these samples also exhibited a strong dependency on TSS (Figure 3). The PAA decay rate constant in synthetic SE and PE samples increased on average by 0.0014 L/mg.min and 0.00039 min−1, respectively, for every 10 mg/L increase in TSS. This result is consistent with the findings of Henao et al. (2018a) who reported that PAA decay rate increased by almost five times as TSS increased from 40 to 160 mg/L.

Figure 3

PAA decay rate constants for synthetic PE and SE samples with varying TSS levels represented by solid symbols and open symbols, respectively. Initial PAA concentration was 4.5–6.5 mg/L for all samples.

Figure 3

PAA decay rate constants for synthetic PE and SE samples with varying TSS levels represented by solid symbols and open symbols, respectively. Initial PAA concentration was 4.5–6.5 mg/L for all samples.

Close modal

The PAA demand in filtered SE (∼0.32 mg/L) was 14.3% higher than the demand observed in Milli-Q water (0.28 mg/L). This increase may be attributed to the presence of dissolved organics in the secondary effluent compared to organic-free Milli-Q water. Another potential explanation is the existence of metal ions from coagulants introduced during the secondary treatment process, enhancing the catalytic decomposition of PAA upon contact with the SE sample.

It is important to note that the dependency of PAA demand and decay rate constant on TSS was effluent-specific. PAA demand and decay rate constants for filtered effluents plotted in Figures 2 and 3 accounted for 57–64% and 38–85% of those of as-received PE and SE samples (see Tables 1 and 2). This finding suggests that in addition to TSS, dissolved and colloidal substances play an important role in PAA decomposition kinetics.

In order to examine the overall effect of TSS on PAA dosing requirements, CT values for the synthetic samples at various TSS levels were calculated for an initial PAA concentration of 5 mg/L at 10, 30 and 60 min contact times using Equations (6) and (7). Figure 4 illustrates that for short contact times (i.e. 10 min), TSS had little effect on the calculated CT values. However, at high contact times (i.e. 60 min), the calculated CT values reduced by about 30% and 25% as the TSS level increased from 0 to 130 mg/L and from 0 to 60 mg/L for synthetic PE and SE samples, respectively. Note that TSS for municipal secondary effluents is typically between 1 and 10 mg/L, in which case the effect of TSS variations on CT can be estimated to be less than 8%. These results suggest that in secondary effluents, typical fluctuations in the TSS alone would have very little effect on PAA performance.

Figure 4

Calculated CT values at different contact times for (a) synthetic PE samples, and (b) synthetic SE samples with varying TSS levels. Initial PAA concentration of 5 mg/L.

Figure 4

Calculated CT values at different contact times for (a) synthetic PE samples, and (b) synthetic SE samples with varying TSS levels. Initial PAA concentration of 5 mg/L.

Close modal

Effect of TSS particle size on PAA decomposition

Figure 5 illustrates the size distribution of various PE and SE particle fractions prepared according to the procedure described earlier. Note that the particle size analyser used in this study produces measurements based on the solid volume of particles and does not account for particle porosity, which in turn results in a peak shift to the lower end of the size distribution (Yuan & Farnood 2010).

Figure 5

Size distribution of sieved suspended solids: (a) PE particle size fractions and (b) SE particle size fractions.

Figure 5

Size distribution of sieved suspended solids: (a) PE particle size fractions and (b) SE particle size fractions.

Close modal

PAA decomposition of synthetic PE and SE samples with narrow particle size fractions showed that PAA demand and decay rate constant decreased as particle size increased (Table 5). However, this decrease was more prominent for PAA demand. These findings are reasonable since, at the same TSS, smaller particles offer a greater total surface area for reaction, hence increasing the decomposition rate of PAA. Our result, however, contradicts an earlier report by Falsanisi et al. (2008) where PAA consumption of a wastewater sample was not affected by filtration through 120 and 10 μm membranes.

Table 5

PAA demand and decay rate constant for synthetic PE and SE samples with narrow particle size fractions

PE size fraction
SE size fraction
20–45 μm45–75 μm75–90 μm20–45 μm45–75 μm75–90 μm
CPAA0 (mg/L) 6.66 5.33 5.33 4.57 4.57 4.57 
D (mg/L) 1.87 1.52 1.16 0.88 0.51 0.49 
kd1 (min−1– – – 0.0092 0.0087 0.0076 
kd2 (L/mg.min) 0.0095 0.0091 0.0087 – – – 
PE size fraction
SE size fraction
20–45 μm45–75 μm75–90 μm20–45 μm45–75 μm75–90 μm
CPAA0 (mg/L) 6.66 5.33 5.33 4.57 4.57 4.57 
D (mg/L) 1.87 1.52 1.16 0.88 0.51 0.49 
kd1 (min−1– – – 0.0092 0.0087 0.0076 
kd2 (L/mg.min) 0.0095 0.0091 0.0087 – – – 

Based on the kinetic parameters provided in Table 5, CT values for synthetic PE and SE samples with narrow size fractions were calculated using Equations (6) and (7). As seen in Figure 6, the calculated CT values were lower for the finer particle size fraction (20–45 μm) and increased with the particle size. Therefore, at the same TSS level, effluents containing smaller particle size fractions will have lower CT values, once again likely due to the higher specific surface area of smaller particles. Similar results were found for the SE samples (see Figure S1, Supplementary Data).

Figure 6

Calculated CT values for synthetic PE samples with narrow particle size fractions after 10 min (black bar), 30 min (white bar), and 60 min (hashed bar) contact time with an initial PAA concentration of 5 mg/L. Effect of temperature on PAA decomposition.

Figure 6

Calculated CT values for synthetic PE samples with narrow particle size fractions after 10 min (black bar), 30 min (white bar), and 60 min (hashed bar) contact time with an initial PAA concentration of 5 mg/L. Effect of temperature on PAA decomposition.

Close modal

Effect of temperature on PAA decomposition

Results showed that raising temperature from 10 to 30 °C had a larger effect on the PAA decomposition kinetics of as-received PE compared to SE (Figure S3, Supplementary Data). As seen in Table 6, this is mainly due to the greater increase in the PAA demand of PE compared to that of SE (0.48 mg/L vs. 0.04 mg/L).

Table 6

PAA demand and decay rate values for as-received PE and SE at different temperatures. The applied initial PAA concentration was 8 mg/L for the PE samples, and 5 mg/L for the SE samples

Sample tempPE
SE
D (mg/L)kd2 (L/mg/min)D (mg/L)kd1 (min−1)
10 °C 1.36 ± 0.39 0.0051 ± 0.0008 0.58 ± 0.08 0.0029 ± 0.0004 
20 °C 1.49 ± 0.43 0.0071 ± 0.0010 0.63 ± 0.09 0.0055 ± 0.0006 
30 °C 1.84 ± 0.54 0.0118 ± 0.0016 0.62 ± 0.09 0.0075 ± 0.0006 
Sample tempPE
SE
D (mg/L)kd2 (L/mg/min)D (mg/L)kd1 (min−1)
10 °C 1.36 ± 0.39 0.0051 ± 0.0008 0.58 ± 0.08 0.0029 ± 0.0004 
20 °C 1.49 ± 0.43 0.0071 ± 0.0010 0.63 ± 0.09 0.0055 ± 0.0006 
30 °C 1.84 ± 0.54 0.0118 ± 0.0016 0.62 ± 0.09 0.0075 ± 0.0006 
As expected, higher temperatures also increased the decay rate constant in both PE and SE samples. Using the results provided in Table 6, the activation energy (EA) for PAA decay in SE and PE samples can be determined from the Arrhenius equation:
(8)
where T is the sample temperature, A is a pre-exponential factor, and R is the universal gas constant. Using Equation (8), the activation energies for PE and SE samples were estimated as 29,980 ± 4,130 J/mol and 34,860 ± 2,980 J/mol, respectively. The larger activation energy of SE sample indicates that the PAA decomposition rate in SE was more sensitive to changes in temperature compared to that of PE (Davis & Davis 2003).

A comparison of activation energy and rate constant of PAA decay from the present work with those reported by Kunigk et al. is provided in Table 7. Kunigk and co-workers observed a lower activation energy when the water samples contained high organic content. The largest activation energy values reported by Kunigk et al. were associated with tap water and aqueous synthetic solutions, which is indicative of the potential effect of organic content on the decomposition of PAA in water.

Table 7

Comparison of activation energy obtained in the present work with those reported in prior literature

SampleEA (kJ/mol)Decay rate constantReference
PE 19.1–40.1 (3.2–10.8) × 10−3 (L/mg.min) Present work 
SE 28.2–41.5 (3.8–7.3) × 10−3 (min−1Present work 
Organic-free aqueous solutions 58.4–72.9 (1.25–7.9) × 104 (min−1Kunigk et al. (2001)  
Organic-free distilled water 62.1 (2.1–8.6) × 10−5 (min−1Kunigk et al. (2012)  
Water + beer 42.3–61.2 (3.3–6.2) × 10−5 (min−1Kunigk et al. (2012)  
Water + milk 9.7–55.3 (6.9–13.6) × 10−5 (min−1Kunigk et al. (2012)  
Tap water 66.2 (1.1–6.2) × 10−5 (min−1Kunigk et al. (2014)  
SampleEA (kJ/mol)Decay rate constantReference
PE 19.1–40.1 (3.2–10.8) × 10−3 (L/mg.min) Present work 
SE 28.2–41.5 (3.8–7.3) × 10−3 (min−1Present work 
Organic-free aqueous solutions 58.4–72.9 (1.25–7.9) × 104 (min−1Kunigk et al. (2001)  
Organic-free distilled water 62.1 (2.1–8.6) × 10−5 (min−1Kunigk et al. (2012)  
Water + beer 42.3–61.2 (3.3–6.2) × 10−5 (min−1Kunigk et al. (2012)  
Water + milk 9.7–55.3 (6.9–13.6) × 10−5 (min−1Kunigk et al. (2012)  
Tap water 66.2 (1.1–6.2) × 10−5 (min−1Kunigk et al. (2014)  

Impact of temperature on CT values in PE samples is illustrated in Figure 7. In general, increasing effluent temperature resulted in a decrease in CT values. A similar trend was observed for SE samples (Figure S2, Supplementary Data); however, temperature had a greater effect on CT values in PE samples compared to SE. These findings illustrate the need to regulate the dosage of PAA according to the effluent temperature.

Figure 7

CT values calculated for as-received PE samples at various temperatures after 10 min (grey bar), 30 min (white bar), and 60 min (hashed bar) contact times. Initial PAA concentration: 5 mg/L.

Figure 7

CT values calculated for as-received PE samples at various temperatures after 10 min (grey bar), 30 min (white bar), and 60 min (hashed bar) contact times. Initial PAA concentration: 5 mg/L.

Close modal

Results from this study show that PAA demand and decay rate constant in primary and secondary effluents depend on the TSS level as well as TSS particle size distribution. Examining the overall effect of TSS revealed that smaller particles appear to have a higher PAA demand and decay rate constant, likely due to their higher specific surface area that increases the rate of reaction with PAA. In other words, at a constant TSS, effluents with smaller particle size are expected to require a higher PAA demand. Therefore, better characterization of the source wastewater should be an important consideration in determining the optimal dosing requirement and equipment sizing for wastewater treatment using PAA.

Effluent temperature is another important consideration for PAA dosing. Given that temperature of primary and secondary effluent streams in municipal treatment facilities may vary from 5 to 30 °C (depending on the geographical location and extent of seasonal fluctuations), variability in CT due to changes in the effluent temperature could be significant. For example, in the case of the secondary effluent sample used in this study, increasing effluent temperature from 5 to 30 °C will result in an estimated 17% decrease in CT (initial PAA concentration: 5 mg/L, contact time: 60 min). The above findings suggest that the target PAA dosages should be adjusted by a safety factor to compensate for temperature variations in order to attain optimal dosing parameters and effective equipment sizing.

There are no conflicts to declare.

Financial support from Trojan Technologies is gratefully acknowledged. Authors would like to also thank Dr Yaldah Azimi for her assistance with fractionation experiments.

The Supplementary Material for this paper is available online at https://dx.doi.org/10.2166/wst.2020.047.

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Supplementary data