Critical Review
Meta-Analysis of Mass Balances Examining Chemical Fate during Wastewater Treatment
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Johns Hopkins University.
, ‡Arizona State University.

Abstract
Mass balances are an instructive means for investigating the fate of chemicals during wastewater treatment. In addition to the aqueous-phase removal efficiency (Φ), they can inform on chemical partitioning, transformation, and persistence, as well as on the chemical loading to streams and soils receiving, respectively, treated effluent and digested sewage sludge (biosolids). Release rates computed on a per-capita basis can serve to extrapolate findings to a larger scale. This review examines over a dozen mass balances conducted for various organic wastewater contaminants, including prescription drugs, estrogens, fragrances, antimicrobials, and surfactants of differing sorption potential (hydrophobicity), here expressed as the 1-octanol−water partition coefficient (KOW) and the organic carbon normalized sorption coefficient (KOC). Major challenges to mass balances are the collection of representative samples and accurate quantification of chemicals in sludge. A meta-analysis of peer-reviewed data identified sorption potential as the principal determinant governing chemical persistence in biosolids. Occurrence data for organic wastewater compounds detected in digested sludge followed a simple nonlinear model that required only KOW or KOC as the input and yielded a correlation coefficient of 0.9 in both instances. The model predicted persistence in biosolids for the majority (>50%) of the input load of organic wastewater compounds featuring a log10 KOW value of greater than 5.2 (log10 KOC > 4.4). In contrast, hydrophobicity had no or only limited value for estimating, respectively, Φ and the overall persistence of a chemical during conventional wastewater treatment.
Introduction
Chemicals Monitored in Mass Balances
| compound | CAS no. | log KOW | log KOC |
|---|---|---|---|
| Estrogens | |||
| estrone | 53-16-7 | 3.13 (31) | 3.59 (29) |
| 17β-estradiol | 50-28-2 | 4.01 (31) | 3.41 (29) |
| 17α-ethinylestradiol | 57-63-6 | 3.67 (31) | 3.53 (29) |
| Antimicrobials | |||
| triclosan | 3380-34-5 | 4.8 (4) | 4.1a |
| triclocarban | 101-20-2 | 4.9 (4) | 4.5a |
| sulfamethoxazole | 723-46-6 | 0.5b | 2.77 (29) |
| trimethoprim | 738-70-5 | 0.91(31) | 2.7c |
| clarithromycin | 81103-11-9 | 3.16 (33) | 2.8c |
| ciprofloxacin | 85721-33-1 | −0.001b | 4.23 (29) |
| norfloxacin | 70458-96-7 | −0.3b | 4.6d |
| Prescription Drugs | |||
| carbamazepine | 298-46-4 | 2.45 (30) | 2.87 (29) |
| Fragrances | |||
| galaxolide (HHCB) | 1222-05-5 | 5.9 (34) | 5.22 (29) |
| tonalide (AHTN) | 21145-77-7 | 5.7 (34) | 5.36 (29) |
| Surfactants and Industrial Chemicals | |||
| nonylphenol | 104-40-5 | 5.76 (35) | 4.52 (32) |
| perfluorooctanesulfonate (PFOS) | 1763-23-1e | 6.3b | 2.6 (28) |
| perfluorodecanesulfonate (PFDS) | 335-77-3e | 8.2b | 3.5 (28) |
| perfluorooctanoate (PFOA) | 335-67-1e | 6.3b | 2.1 (28) |
| perfluorononanoate (PFNA) | 375-95-1e | 7.3b | 2.4 (28) |
| perfluorodecanoate (PFDA) | 335-76-2e | 8.2b | 2.8 (28) |
Estimated using Advanced Chemistry Development (ACD/Laboratories) Software V8.14 for Solaris for standard conditions of 25 °C and pH 7.
Estimated using KOWWIN v1.67.
Calculated from ref 11 assuming 40%(w/w) organic carbon in activated sludge.
Calculated from ref 13 assuming 40%(w/w) organic carbon in activated sludge.
CAS no. represents the protonated molecule.
Occurrence and Fate of Organic Wastewater Compounds Monitored
000 ng/L) and the antimicrobials triclocarban (16) and triclosan (14, 15) (6100 and 4700 ng/L, respectively) showed the highest influent concentrations, whereas natural and synthetic hormones (9, 10) (<5 to 65.7 ng/L) and perfluorinated surfactants (21) (1.1 to 15.7 ng/L) occurred at much lower levels (Table 2). Multiplication of influent concentrations with the corresponding sewage flow rate at the time of sampling yielded the total mass loading for a given compound of interest.| compound | reference | influent (ng/L) | effluent (ng/L) | digested sludge (μg/kg) | Φ (%) | per-capita mass input (μg/person/day) |
|---|---|---|---|---|---|---|
| Estrogens | ||||||
| estrone | 9 | 65.7 | <1c | 25.2 | >99 | 15 |
| 10 | 54.8 | <0.1bc | 14.3d | 100 | 33 | |
| 17β-estradiol | 9 | 15.8 | <1 c | 5.1 | >94 | 4 |
| 10 | 22.0 | <0.1bc | 0.57d | 100 | 14 | |
| 17α-ethinylestradiol | 9 | 8.2 | <1 c | <1.5c | >88 | 2 |
| 10 | <5.0c | <0.1bc | 0.61d | >98 | NA | |
| Antimicrobials | ||||||
| triclosan | 14 | 1200 | 51 | 1200 | 96 | 620 |
| 15 | 4.700 | 70 | 30000 | 98 | 2490 | |
| triclocarban | 16 | 6100 | 170 | 51000 | 97 | 2870 |
| sulfamethoxazole | 11 | 1700eh | 400eh | ND | 77 | 450 |
| (1400g) | (10g) | |||||
| trimethoprim | 11 | 290e | 70e | <0.1c | 76 | 100 |
| trimethoprim | 12 | 1373f | 1424f | ND | −4 | 500 |
| clarithromycin | 11 | 380e | 240e | 0.7 | 37 | 180 |
| ciprofloxacin | 12 | 220f | 48f | 5970f | 78 | 480 |
| ciprofloxacin | 13 | 427 | 71 | 3100 | 83 | 340 |
| norfloxacin | 12 | 293f | 58f | 6970f | 80 | 610 |
| norfloxacin | 13 | 431 | 51 | 2,900f | 88 | 350 |
| Prescription Drugs | ||||||
| carbamazepine | 17 | 1533h (1001i) | 1523h (1081i) | 281h (15i) | <1 | 1050 |
| Fragrances | ||||||
| galaxolide (HHCB) | (18) | 1941 | 695 | 3068 | 64 | 1030 |
| (19) | 390 | 173 | 6788 | 56 | 530 | |
| tonalide (AHTN) | (18) | 583 | 212 | 1525 | 64 | 310 |
| (19) | 86 | 42 | 1349 | 51 | 110 | |
| Surfactants and Industrial Chemicals | ||||||
| nonylphenol | 20 | 6800j | 3400jk | 24000k | 49 | NA |
| 8500j | 1400jk | 13000k | 83 | NA | ||
119000jk | 5700j | 898000 | 95 | NA | ||
| perfluorooctanesulfonate (PFOS) | 21 | 15.7l | 24 | 100 | −53 | 8 |
| perfluorodecanesulfonate (PFDS) | 21 | 6.3l | 8.2 | 91 | −30 | 3 |
| perfluorooctanoate (PFOA) | 21 | 15.0 | 11 | <3 | 27 | 8 |
| perfluorononanoate (PFNA) | 21 | 1.1l | 3.4 | 9.9 | −209 | 0.6 |
| perfluorodecanoate (PFDA) | 21 | 5.6 | 2.3 | 5.9 | 59 | 3 |
Italics indicate calculated data.
After chlorination.
Below limit of quantification.
From sequential batch reactors (SBRs).
Median concentration of two plants.
Average concentration calculated from multiple sampling days.
N4-acetylsulfmethoxazole metabolite.
Sum of parent compound and metabolites.
10,11-Dihydro-10,11-dihydroxycarbamazepine (CBZ-DiOH) metabolite.
Concentrations were averaged over four sampling events.
Concentrations were estimated from plots.
Calculated by dividing the daily mass loading by the wastewater flow.
1400 to 5700 ng/L) and its Φ values determined in three different plants ranged from 49 to 95% (20). The next most abundant OWC in effluent was carbamazepine (and its metabolites), which passed through the treatment works unattenuated and exited at a combined level of 1524 ng/L (17). In contrast to their substantial influent concentrations, levels of triclocarban (97%) and triclosan (96−98%) in effluent were at 170 and ≤70 ng/L only, due to efficient removal from the aqueous phase during treatment (14, 16). The lowest effluent concentrations were observed for natural and synthetic hormones, whose concentrations dropped below the limit of detection during sewage treatment (<1 ng/L); corresponding Φ values ranged from >88 to 100% (9, 10). Effluent concentrations of fluorochemicals ranged from 1.2 to 24 ng/L (21), which was a reflection of low input levels rather than significant removal. Corresponding Φ values showed a wide range (≤59 to −209%) (21); the phenomenon of negative removal (in-plant production) is explored later in the text.
000−898
000 μg/kg) (20) and for the antimicrobials triclocarban (51
000 μg/kg) (16), triclosan (1200 and 30
000 μg/kg) (14, 15), ciprofloxacin (3100 to 5970 μg/kg), (12, 13) and norfloxacin (2900 to 6967 μg/kg) (12, 13), as well as for the fragrances galaxolide (3068−108000 μg/kg), and tonalide (809−13
500 μg/kg, respectively) (18, 19). In contrast, concentrations of hormones (≤25.2 μg/kg) (9) and perfluorochemicals (≤100 μg/kg) (21) were in the parts-per-billion range only (Table 2).| compound | ref | mass in effluent (%) | mass in processed sludge (%) | mass lost (%) | label in Figure 3 |
|---|---|---|---|---|---|
| Estrogens | |||||
| estrone + 17β-estradiol | 9 | <2 | 11 | 87 | 1 + 2 |
| 10 | 12 | 4 | 84 | 3 + 4 | |
| 17α-ethinylestradiol | 12 | <13 | <6 | >81 | 5 |
| Antimicrobials | |||||
| ciprofloxacn | 12 | 4 | 77 | 19 | 6 |
| 13 | 12 | 83 | 5 | 7 | |
| clarithromycin | 12 | 79 | <1 | >21 | 8 |
| norfloxacin12 | 12 | 3 | 72 | 25 | 9 |
| 13 | 8 | 75 | 17 | 10 | |
| sulfamethoxazole | 11 | 38 | <0.2 | >62 | 11 |
| triclocarban | 16 | 3 | 76 | 21 | 12 |
| triclosan | 14 | 4 | 31 | 65 | 13 |
| 15 | 2 | 50 | 48 | 14 | |
| trimethoprim | 11 | 36 | <0.2 | >64 | 15 |
| 12 | 104 | NA | −4 | ||
| Prescription Drugs | |||||
| carbamazepine | 17 | 116 (126a) | 0.1 (<0.02a) | −16 (>−26a) | 16 |
| Fragrances | |||||
| galaxolide (HHCB) | 18 | 36 | 48 | 16 | 17 |
| 19 | 26b | 72 | 2 | 18 | |
| tonalide (AHTN) | 18 | 37 | 80 | −17 | 19 |
| 19 | 30b | 67 | 3 | 20 | |
| Surfactants and Industrial Chemicals | |||||
| nonylphenol | 20 | 51.5 | 43.5 | 5 | 21 |
| 17.6 | 57.4 | 25 | 22 | ||
| 4.8 | 93.5 | 1.7 | 23 | ||
| perfluorodecanesulfonate(PFDS) | 21 | 129 | 118 | −147 | NA |
| perfluorodecanoate(PFDA) | 21 | 40 | 9 | 51 | 24 |
| perfluorononanoate(PFNA) | 21 | 317 | 76 | −293 | NA |
| perfluorooctanesulfonate(PFOS) | 21 | 143 | 55 | −98 | NA |
| perfluorooctanoate(PFOA) | 21 | 75 | 0.3 | 25 | 25 |
10,11-Dihydro-10,11-dihydroxycarbamazepine (CBZ-DiOH) metabolite.
Sum of compound mass entering the plant in aqueous and suspended solid phase.

Figure 1. Compilation of select mass balances for organic wastewater compounds published in the peer-reviewed literature. Shown for each compound are the mass fractions emitted by the plant in effluent (blue), lost to degradation or otherwise unaccounted for (white), and persisting in sludge after digestion of wastewater solids (orange). Compounds are grouped based on structural similarities and sorted according to ascending sequestration and accumulation in biosolids. Cumulative values of >100% indicate a net increase of compound mass during treatment caused by measurement errors, compound formation, or a combination of the two.
63%) of sulfamethoxazole and trimethoprim was degraded or lost (11), only 21% of the clarithromycin input was degraded and a large fraction (79%) of the chemical mass was found in effluent (11). A second study conducted for trimethoprim showed complete lack of removal or degradation, as 104% of the mass input was found in effluent and none in sludge (12).Study Design Considerations

Figure 2. Schematic illustrating the role of sorption in the fate of organic wastewater compounds during their hypothetical passage through a conventional activated sludge wastewater treatment plant assuming a lack of both transformation and loss processes. The partitioning of compounds between the dissolved phase (blue) and wastewater solids (orange) is shown for three organic wastewater compounds featuring logarithmic organic carbon normalized sorption coefficients (log KOC) of 2, 4, and 6 (top, middle, and bottom panels, respectively).
where fiW is the fraction of chemical i dissolved in the aqueous phase; V is the sample volume (L); KD is the partition coefficient (L/kg); and CSS is the concentration of total suspended solids (kg/L). This equation can serve to illustrate the substantial bias a filtration step may introduce. Let us consider the placement of equal amounts of a compound X in 1 L of wastewater influent and in 1 L of treated effluent each containing 100 mg/L of CSS. Assuming a KD value of 10
000 L/kg at pH 7 for compound X, its mass fraction in the aqueous phase following equilibration will be equal to 98% for effluent but only 50% for influent. If the latter volume is subjected to filtration, 50% of the mass of compound X contained in influent will be removed along with the suspended particulates prior to analysis. This will cause a severe underestimation of both the true concentration of compound X and the actual mass loading entering the plant, typically calculated as the product of concentration and volumetric flow. To account for this loss, strategies used were to (i) add a surrogate standard prior to filtration (10), (ii) collect separate wastewater samples specifically for particulate analysis (12), and (iii) estimate the fraction sorbed using KD (11). Still better is the separation of particulates from the aqueous phase, a separate analysis of solid and liquid fractions, and reporting of the sum of both measurements as the final results (9, 15, 16, 21). The latter approach does not only lead to more reliable estimates of contaminant mass but also informs on the physical phase in which the analytes of interest are arriving at the plant (dissolved vs sorbed). However, one common limitation to consider in this context is the difficulty of reproducibly sampling wastewater slurries that consist of two distinct phases (aqueous and solid) having potentially very different chemical concentrations.Meta-Analysis
where fdigested sludge is the mass fraction of a given compound that was found to persist in digested sludge relative to the total mass loading (1.0) arriving at the plant, K is either the 1-octanol−water partition coefficient (KOW) (Figure 3A) or the organic carbon normalized sorption coefficient (KOC) (Figure 3B), and pOC is a fitting parameter (see Supporting Information for further information). The model tracked the empirical data closely (correlation coefficients of 0.9 were obtained in both cases), thereby indicating that compounds with high KOW and thus a high KOC are more frequently encountered in sludge than hydrophilic ones featuring lower values. Fluorochemicals and fluoroquinolone antibiotics were excluded from this analysis because of their amphiphilic and zwitter-ionic structure, respectively. The two relationships derived from the fitted data shown in Figures 3A and 3B suggest that >50% of the mass loading of hydrophobic organic compounds featuring a log KOW value of >5.2 or a log KOC value of >4.4 will persist during wastewater treatment and accumulate in biosolids. The corresponding values for the dimensionless fitting parameter (pOC) were 6.51 × 10−6 and 4.21 × 10−5, respectively.
Figure 3. Analysis of mass balances conducted for various organic wastewater compounds (OWCs). The fraction of the mass loading that persisted in digested sludge () is plotted against the logarithmically transformed 1-octanol−water partition coefficient (log10 KOW; panel A) and the organic carbon normalized sorption coefficient (log10 KOC; panel B); empirical data were fit to a nonlinear model (S-shaped curve; see text and Supporting Information for details). Panels C shows the relationship between KOW and the OWC’s overall persistence, here defined as the chemical mass contained in both sludge and effluent after treatment divided by the initial loading. Panel D shows the aqueous removal efficiency of various OWCs as a function of their respective KOW values. Data points are annotated with numbers that link the OWCs to original references listed in Table 3.
Concluding Remarks
Acknowledgment
This research was made possible in part by the National Institute of Environmental Health Sciences (NIEHS) Grant 1R01ES015445 and through the Johns Hopkins University NIEHS Center in Urban Environmental Health (P30ES03819). Additional support was provided through a JHU Faculty Innovation Award for R.U.H., and a pilot project grant from the JHU Center for a Livable Future. We thank Randhir Deo for his assistance with data modeling. We also thank the anonymous reviewers for their time and valuable input.
Experimental details. This material is available free of charge via the Internet at http://pubs.acs.org.
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History
- Published In Issue September 01, 2008
- Article ASAPJuly 22, 2008
- Received: December 3, 2007
Revised: June 11, 2008
Accepted: June 11, 2008
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