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The Formation and Occurrence of N-chloro-2,2dichloroacetamide, A Previously Overlooked Nitrogenous Disinfection Byproduct in Chlorinated Drinking Waters Yun Yu, and David A. Reckhow Environ. Sci. Technol., Just Accepted Manuscript • DOI: 10.1021/acs.est.6b04218 • Publication Date (Web): 20 Dec 2016 Downloaded from http://pubs.acs.org on December 25, 2016
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The Formation and Occurrence of N-chloro-2,2-dichloroacetamide, A
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Previously Overlooked Nitrogenous Disinfection Byproduct in Chlorinated
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Drinking Waters
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Authors: Yun Yu*1, David A. Reckhow2
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1. PhD, 18 Marston Hall, 130 Natural Resources Road, Department of Civil and
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Environmental Engineering, University of Massachusetts Amherst, Amherst MA, 01003-
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9293. E-mail:
[email protected] Phone: 413-362-4918 (Corresponding Author).
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2. Professor, 18 Marston Hall, 130 Natural Resources Road, Department of Civil and
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Environmental Engineering, University of Massachusetts Amherst, Amherst MA 01003-
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9293. E-mail:
[email protected]. Phone: 413-545-5392
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ABSTRACT Haloacetamides (HAMs) are a class of newly identified nitrogenous disinfection byproducts
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(N-DBPs) whose occurrence in drinking waters has recently been reported in several DBP
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surveys. As the most prominent HAM species, it is commonly acknowledged that 2,2-
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dichloroacetamide (DCAM) is mainly generated from dichloroacetonitrile (DCAN) hydrolysis
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because the concentrations of these two compounds are often well correlated. Instead of DCAM,
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a previously unreported N-DBP, N-chloro-2,2-dichloroacetamide (N-Cl-DCAM), was confirmed
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in this study as the actual DCAN degradation product in chlorinated drinking waters. It is
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suspected that N-Cl-DCAM has been erroneously identified as DCAM, because its nitrogen-
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bound chlorine is readily reduced by most commonly-used quenching agents. This hypothesis is
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supported by kinetic studies that indicate almost instantaneous N-chlorination of DCAM even at
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low chlorine residuals. Therefore, it is unlikely that DCAM can persist as a long-lived DCAN
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decomposition product in systems using free chlorine as a residual disinfectant. Instead,
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chlorination of DCAM will lead to the formation of an equal amount of N-Cl-DCAM by forming
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a hydrogen bond between hypochlorite oxygen and amino hydrogen. Alternatively, N-Cl-DCAM
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can be produced directly from DCAN chlorination via nucleophilic addition of hypochlorite on
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the nitrile carbon. Due to its relatively low pKa value, N-Cl-DCAM tends to deprotonate under
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typical drinking water pH conditions and the anionic form of N-Cl-DCAM was found to be very
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stable in the absence of chlorine. N-Cl-DCAM can, however, undergo acid-catalyzed
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decomposition to form the corresponding dichloroacetic acid (DCAA) when chlorine is present,
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although those acidic conditions that favor N-Cl-DCAM degradation are generally atypical for
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finished drinking waters. For these reasons, N-Cl-DCAM is predicted to have very long half-
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lives in most distribution systems that use free chlorine. Furthermore, an analytical method using
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ultra performance liquid chromatography (UPLC)/ negative electrospray ionization (ESI-)/
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quadrupole time-of-flight mass spectrometry (qTOF) was developed for the detection of a family
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of seven N-chloro-haloacetamides (N-Cl-HAMs). Combined with solid phase extraction (SPE),
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the occurrence of N-Cl-DCAM and its two brominated analogues (i.e., N-chloro-2,2-
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bromochloroacetamide and N-chloro-2,2-dibromoacetamide) was quantitatively determined for
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the first time in 11 real tap water samples. The discovery of N-Cl-DCAM or more broadly
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speaking, the N-Cl-HAMs in chlorinated drinking waters is of significance because they are
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organic chloramines, a family of compounds that is perceived to be more toxicologically potent
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than halonitriles (e.g., DCAN) and haloamides (e.g., DCAM), and therefore they may pose
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greater risks to drinking water consumers given their widespread occurrence and high stability.
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INTRODUCTION
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Disinfection of drinking water provides an important barrier in the control of pathogenic
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microorganisms and therefore is an effective means of protecting consumers against waterborne
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diseases. However, the presence of a disinfectant residual can lead to the formation of unwanted
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carcinogenic disinfection byproducts (DBPs). To date, approximately 600-700 DBPs have been
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identified in drinking waters from the use of major disinfectants (i.e., chlorine, chloramines,
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chlorine dioxide, etc.) as well as their combinations.1-5 However, none of those previously
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reported DBPs has been recognized to have sufficient carcinogenic potency to account for the
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cancer risks that are projected from epidemiological studies.6 Meanwhile, haloacetamides
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(HAMs) have received a lot of attention as an emerging group of nitrogenous DBPs (N-DBPs)
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mainly because they are an order of magnitude more genotoxic and two orders of magnitude
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more cytotoxic than the corresponding haloacetic acids (HAAs),7 which are currently regulated
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by the USEPA as surrogates for drinking water toxicity.
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The occurrence of HAMs was first reported in a 2000-2002 DBP survey that was conducted
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at 12 US drinking water treatment plants.4,8 The median and maximum concentrations for a
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group of five chlorinated and brominated HAMs were 1.4 µg/L and 7.4 µg/L, respectively,
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among which 2,2-dichloroacetamide (DCAM) occurred at the highest levels with a median
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concentration of 1.3 µg/L.4,8 More recently, 2,2,2-trichloroacetamide (TCAM) was found to be
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present at a lower level than DCAM in samples collected from 20 English drinking water supply
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systems (respective median concentrations for these two HAMs were 0.4 µg/L and 0.6 µg/L).9
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Furthermore, the concentrations of both DCAM and TCAM were noted to be slightly higher in
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distribution systems than in finished waters,9 even though the observed differences were too
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small to make any significant inferences about their stability during drinking water distribution. 4
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Perhaps most importantly, in all those surveys, HAMs exhibited strong positive correlations
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with the corresponding haloacetonitriles (HANs) and these two groups of compounds were often
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detected at comparable levels.4,9,10 This is consistent with the prevailing understanding that
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HAMs in drinking waters result predominantly from base-catalyzed HAN hydrolysis.11,12 For
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instance, laboratory research has verified that dichloroacetonitrile (DCAN) can hydrolyze to
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DCAM and ultimately to dichloroacetic acid (DCAA) in the absence of free chlorine when pH is
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above neutral.13 However, in the presence of chlorine, hypochlorite (i.e., OCl-) has been
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recognized as the dominant contributor to DCAN decomposition and the reaction between
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DCAN and free chlorine forms N-chloro-2,2-dichloroacetamide (N-Cl-DCAM) as the putative
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reaction product.13 In fact, the formation of this halogenated nitrogenous compound had been
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proposed earlier in the 1990s as one of the major DCAN degradation products.14 Nevertheless,
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the formation of N-Cl-DCAM has not been substantiated and its presence in drinking waters has
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never been recognized or reported. Furthermore, the formation of an N-Cl-DCAM analogue, N,2-
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dichloroacetamide (or N-chloro-2-monochloroacetamide) has recently been observed from the
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reaction between chloroacetaldehyde and monochloramine.15 This N-chloro-haloacetamide (N-
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Cl-HAM) was found to be very unstable, undergoing rapid dechlorination to the corresponding
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2-chloroacetamide (or monochloroacetamide) in the presence of sodium thiosulfate.15 This
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finding raises the following question: will the other N-Cl-HAM species, especially N-Cl-DCAM,
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exhibit similar behavior when a reducing agent is added so that they will be chemically reduced
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to the corresponding HAMs during sample preservation? Moreover, if N-Cl-HAMs can initially
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form but subsequently convert into HAMs, then what proportion of the latter that has previously
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been identified and reported was actually due to N-Cl-HAM dechlorination? Therefore, the
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extent to which N-Cl-HAMs will be reduced by the addition of common quenching agents, such
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as sodium sulfite, ascorbic acid, ammonium chloride, and sodium thiosulfate needs to be
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clarified.
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For these reasons, the major objectives of this study were to confirm the existence of N-Cl-
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DCAM in chlorinated drinking waters, and to quantitatively characterize and reconcile its
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formation kinetics with the degradation kinetics for both DCAN and DCAM. Furthermore, with
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its third chlorine bound to the amide nitrogen, N-Cl-DCAM can be defined as an organic
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monochloramine. Since organic chloramines are capable of transferring Cl(+I) to other amino
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groups such as those making up the exocyclic nitrogens in DNA and RNA,16 it is commonly
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acknowledged that they are toxicologically active. Thus, they may pose special health concerns
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to consumers regarding chronic diseases6 if they have sufficient stability to persist through
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drinking water distribution. For this reason, the stability of N-Cl-DCAM was evaluated under
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typical drinking water pH conditions both with and without the presence of chlorine.
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Additionally, the impact of commonly-used reducing agents on the integrity of N-Cl-DCAM was
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also assessed in this study. Finally, in order to demonstrate the existence of the N-Cl-HAMs, it
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was necessary to develop an analytical method for their quantification at microgram per liter
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levels in finished drinking waters. Once this was done, a set of tap water samples collected from
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seven private residences in the US were analyzed to examine the presence of N-Cl-HAMs in
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actual drinking water supplies.
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MATERIALS AND METHODS
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Chemicals and Reagents
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2,2-dichloroacetamide (DCAM) and 2,2,2-trichloroacetamide (TCAM) were purchased from
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Sigma-Aldrich (St. Louis, MO). Bromochloroacetamide (BCAM), dibromoacetamide (DBAM),
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bromodichloroacetamide (BDCAM), dibromochloroacetamide (DBCAM), and
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tribromoacetamide (TBAM) were supplied by CanSyn Chem. Corp. from Canada. General
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laboratory chemicals including Optima LC/MS grade organic solvents and formic acid (FA)
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were obtained from Fisher Scientific (Pittsburgh, PA). Purified N-chloro-haloacetamide (N-Cl-
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HAM) standard compounds are not commercially available, and therefore they were individually
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prepared by reacting an equal stoichiometric amount of free chlorine with the corresponding
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haloacetamides (i.e., Cl2/N=1:1) ,15,17 with the pH of both solutions adjusted to 9.0 before mixing.
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Chlorination of Dichloroacetamide
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All DCAM reaction solutions were prepared in ultrapure Milli-Q water (EMD Millipore
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Corp.) containing 10 mM phosphate buffer and were adjusted to the desired pHs with sodium
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hydroxide or hydrochloric acid. At the beginning of each chlorination experiment, 3 mL of
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DCAM reaction solution (0.505 mM) was introduced into a quartz cuvette with a 1 cm path
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length. Chlorination of DCAM was conducted by adding a small volume (30 µL) of acidified
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sodium hypochlorite solution (50.5 mM as Cl2) into the aforementioned DCAM reaction solution
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(3 mL in a cuvette), so that the initial concentration for both reactants was 0.5 mM. Acidified
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sodium hypochlorite solutions (50.5 mM as Cl2) were prepared on the day of use by diluting the
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sodium hypochlorite stock solution (5.65%-6%, laboratory grade, Fisher Scientific), followed by
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hydrochloric acid neutralization to the predetermined pHs, prior to which, the actual free
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chlorine concentration in the stock solution was standardized based on the N,N-diethyl-p-
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phenylene diamine (DPD)-ferrous ammonium sulfate (FAS) titrimetric method (EPA Method
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330.4). Immediately after the introduction of chlorine, the cuvette was capped and quickly
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inverted for three times to ensure even distribution of the reactants before being placed in the
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spectrophotometer. Absorption spectrum was scanned once every 5 seconds in the continuous 7
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kinetic mode from 200 nm to 400 nm using an Agilent 8453 diode array UV-visible
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spectrophotometer. All DCAM chlorination reactions were monitored at ambient room
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temperature (i.e., 20 °C). Reaction rate constants were determined from the kinetic UV
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absorbance measurements at 292 nm.
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Stability of N-chloro-2,2-dichloroacetamide
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The stability of N-Cl-DCAM was assessed in phosphate buffered solutions (10 mM, pH 4-8)
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with and without the presence of chlorine. Initial N-Cl-DCAM concentration was 40 µM and a
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small volume of acidified sodium hypochlorite solution was introduced at the beginning of each
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test so that the initial total chlorine concentration was also 40 µM. The chlorinated and
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unchlorinated N-Cl-DCAM solutions were repeatedly injected into the ultra performance liquid
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chromatography (UPLC)/ negative electrospray ionization (ESI-)/ quadrupole time-of-flight mass
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spectrometer (qTOF) once every 15 minutes for a total of 8 hours. Reduction of N-Cl-DCAM by
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sodium sulfite, sodium thiosulfate, ammonium chloride, and ascorbic acid was investigated in
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the same fashion via repeated sample injections into the UPLC/ESI/qTOF.
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Sample Pretreatment
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For the quantification of a group of seven N-Cl-HAMs, a solid phase extraction (SPE)-ultra
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performance liquid chromatography/mass spectrometry (UPLC/MS) method was developed
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during the course of this study. Before analysis, N-Cl-HAMs were first concentrated through
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SPE using the Oasis mixed-mode, reversed-phase, strong anion-exchange (MAX) cartridges (60
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mg, 3 mL, 30 µm; Waters, Milford, MA) that were mounted on an Agilent VacElut SPS 24 SPE
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manifold. Prior to sample loading, each MAX cartridge was conditioned with 3 mL of methanol
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followed by one wash using 3 mL of ultrapure Milli-Q water. Each sample (100 mL) was drawn
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through the cartridge under vacuum at a flow rate of approximately 1 mL/min. After sample
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loading, the cartridges were washed with 2 mL of methanol/NH4OH (v/v=95/5) and then dried
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for 1 minute under vacuum. Subsequently, the retained N-Cl-HAMs were eluted with 2 mL of
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acetonitrile/water (v/v=90/10, with 25% formic acid). The acetonitrile extract was reconstituted
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by adding 0.5 mL of water/NH4OH (v/v=85/15) and was then evaporated down to 1.0 mL under
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a gentle nitrogen stream (TurboVap LV).
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Ultra Performance Liquid Chromatography/Quadrupole Time-of-Flight Mass Spectrometry
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An ACQUITY UPLC (Waters, Milford, MA) system was used for LC separation with an
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ACQUITY UPLC HSS T3 column (1.8 µm, 100 Å, 2.1×100 mm; Waters), coupled with a 1.8
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µm, 2.1×5 mm VanGuard pre-column (ACQUITY UPLC HSS T3; Waters). Column
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temperature was maintained isothermally at 35 °C. The mobile phases were 5 mM ammonium
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acetate (solvent A) and 100% methanol (solvent B) at a constant flow rate of 0.3 mL/min. The
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initial gradient was 0-2 min, 5% B, curve 6; increased from 5% to 90% B between 2 and 7 min,
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curve 6; 7-8 min 90% B, curve 6; switched back to 5% B in 0.1 min, curve 11; 11-15 min for
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equilibration, 5% B. The injection volume for each sample was 5 µL. A quadrupole time-of-
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flight mass spectrometer (Xevo G2-XS qTOF; Waters) with an electrospray ionization (ESI)
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source was used to obtain the exact masses of N-Cl-HAM parent ions. Negative ESI-TOFMS
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mode was applied with typical conditions optimized as follows: capillary voltage 2.50 kV;
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sampling cone, 25 arbitrary units; source offset, 80 arbitrary units; source temperature, 120 °C;
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desolvation temperature 400 °C; cone gas, 80 L/hour; desolvation gas flow, 800 L/hour.
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Method Validation
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To determine the method detection limits (MDLs) and recoveries for the seven N-Cl-HAM
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analytes using the SPE-UPLC/ESI/qTOF method, three sets of tap water samples (100 mL each)
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were prepared: (1) eight calibration standards spiked with seven N-Cl-HAMs; (2) seven replicate
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samples spiked with 0.02 µM of each N-Cl-HAM; (3) unspiked blanks. All standards and
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samples were extracted and analyzed at the same time using the method described above. The
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SPE recovery rate for each N-Cl-HAM was determined according to the standard addition
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method.18 Furthermore, to validate the SPE-UPLC/ESI/qTOF method, 11 tap water samples
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collected from seven private residences in the US were analyzed for the quantification of N-Cl-
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HAMs. Prior to sampling, 100 mg of ammonium chloride (NH4Cl) was added to each 1 L glass
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bottle as preservative. All samples were collected without headspace, stored at 4 °C, extracted
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within 72 hours, and analyzed by UPLC/ESI/qTOF immediately after sample pretreatment (i.e.,
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SPE).
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RESULTS AND DISCUSSION
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Identification and Verification of N-chloro-2,2-dichloroacetamide and N-chloro-
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haloacetamides
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The discovery of N-Cl-DCAM stemmed from a preliminary kinetic study where the stability
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of DCAM was evaluated under a range of pH conditions with and without the presence of
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chlorine. When DCAM was chlorinated and residual chlorine was quenched at prescribed
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reaction times by ascorbic acid, no significant decrease in DCAM concentration was observed.
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In contrast, residual DCAM was undetectable at identical reaction times when chlorinated
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samples were immediately analyzed by liquid-liquid extraction-gas chromatography/mass
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spectrometry (LLE-GC/MS; unpublished method) without the addition of any reducing agent.
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This suggested that DCAM chlorination might have formed a labile reaction intermediate, which
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was converted back into the initial DCAM as a result of ascorbic acid addition. In order to
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identify this reaction intermediate, unquenched DCAM chlorination solution was directly infused
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into the high-resolution quadrupole time-of-flight mass spectrometer (Xevo G2-XS qTOF).
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Under negative electrospray ionization (ESI-), a unique isotope cluster was observed, reflecting
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the presence of three chlorine atoms in this unknown compound. In fact, the mass spectrum of
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the unknown was found to agree with that of 2,2,2-trichloroacetamide (TCAM) in both exact
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masses and their isotopic patterns.
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Nonetheless, TCAM behaved very differently in many ways from this unidentified
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compound and therefore is unlikely the aforementioned labile reaction intermediate formed
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during DCAM chlorination. First of all, the unknown compound was well retained on a UPLC
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column (Waters ACQUITY HSS T3) with a stationary phase that promotes polar compound
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retention. On the contrary, TCAM standard compound was eluted near the dead volume over the
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entire mobile phase composition range, which indicates different chemical polarities between
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these two. More importantly, TCAM didn’t dechlorinate to form DCAM in the presence of
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ascorbic acid, whereas conversion of the unknown to DCAM was found to be a more generic
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result from the addition of not only ascorbic acid but also other reductants as well (e.g.,
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potassium iodide, sodium sulfite, and sodium thiosulfate). Lastly, this DCAM chlorination
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product exhibited a very similar behavior as inorganic dichloramine (i.e., NHCl2), both of which
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slowly oxidized iodide to triiodide that further reacted with N,N-Diethyl-p-phenylene diamine
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(DPD) to produce a relatively stable free radical species with an intense pink color. In contrast,
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TCAM didn’t react with DPD either directly or indirectly via the triiodide intermediate to form
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the colored free radicals.
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Alternative to TCAM formation via chlorine substitution on the alkyl carbon, chlorination of
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DCAM may also result in bonding of chlorine to the amide nitrogen,19,20 forming N-chloro-2,2-
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dichloroacetamide (N-Cl-DCAM) as a constitutional isomer of TCAM (Scheme 1). Particularly,
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trihaloacetamides (THAMs) including trichloroacetamide (TCAM), bromodichloroacetamide
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(BDCAM), dibromochloroacetamide (DBCAM), and tribromoacetamide (TBAM) cannot be C-
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chlorinated due to the absence of a substitutable hydrogen on the trihalogenated tertiary carbon.
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However, N-chlorination of THAMs may otherwise be possible, leading to the formation of N-
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chloro-trihaloacemides (N-Cl-THAMs) that will be distinctively tetrahalogenated. In this regard,
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if THAMs can be further chlorinated to form those hypothesized tetrahaloacetamides, the HAM
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N-chlorination pathway can therefore be verified and N-Cl-DCAM can be confirmed as the
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chlorination product for DCAM. To substantiate this speculation, seven dihalogenated and
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trihalogenated HAMs (i.e., DCAM, BCAM, DBAM, TCAM, BDCAM, DBCAM, and TBAM)
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were chlorinated and the resulting HAM chlorination solutions were individually infused into the
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qTOF mass spectrometer to screen for N-Cl-HAMs.
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240 241
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Scheme 1. 2,2,2-trichloroacetamide (TCAM) and its constitutional isomer, N-chloro-2,2dichloroacetamide (N-Cl-DCAM). Figure 1 shows the obtained isotope clusters for the four THAM chlorination products on the
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bottom row. All four isotopic distributions indicate the presence of a combination of four
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halogen atoms (i.e., chlorine or bromine) in their molecular structures. Furthermore, the 12
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measured masses for all [M-H]- ions were in perfect agreement with the calculated values for N-
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Cl-THAMs. Therefore, it can be concluded that THAMs can be further N-chlorinated by free
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chlorine on the amide nitrogen. Following the same mechanism, chlorination of
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dihaloacetamides (DHAMs), including DCAM, BCAM, and DBAM, will produce the
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corresponding N-chloro-dihaloacetamides (N-Cl-DHAMs) instead of their THAM isomers (i.e.,
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TCAM, BDCAM, and DBCAM). As a result, the formation of N-Cl-DCAM from DCAM
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chlorination can thus be confirmed.
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Figure 1. Obtained isotope clusters for the seven HAM chlorination products (i.e., N-Cl-
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HAMs) using Xevo G2-XS qTOF. All N-Cl-HAMs were formed individually by reacting an
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equal stoichiometric amount of free chlorine with the corresponding HAM (i.e., 100 µM Cl2:100
256
µM HAM). For each N-Cl-HAM, the masses measured (shown in black) were compared with the
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values calculated (shown in red) and all halogen isotopes are indicated by the blue arrows. 13
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Dichloroacetamide Chlorination Kinetics In the preliminary study, it was noted that residual chlorine was exhausted almost
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instantaneously when DCAM was chlorinated by an equal stoichiometric amount of chlorine,
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implying that the formation of N-Cl-DCAM from DCAM chlorination might be very rapid. To
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quantitatively determine the rate at which N-Cl-DCAM is formed, DCAM N-chlorination
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kinetics was investigated spectrophotometrically by reacting DCAM with same molar
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concentration of aqueous chlorine (i.e., [DCAM]0=[Cl2]0=0.5 mM) at four different pHs (i.e., pH
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6, 7, 8, and 9). UV absorbance at 292 nm was monitored over reaction time at a sampling
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frequency of once every five seconds. At each reaction time point, the concentrations of residual
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hypochlorous acid (i.e., HOCl), hypochlorite (i.e., OCl-), DCAM, and formed N-Cl-DCAM can
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be determined as follows based on their individual molar absorptivities at the given wavelength
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(i.e., ): , = , [] + , [ ] + , [] + , [] (1)
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Compared to chlorine, neither DCAM nor N-Cl-DCAM caused significant UV absorption at
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292 nm when their concentrations were controlled the same (Figure S1). This is indicative of
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very low molar absorptivities of these two compounds at this specific wavelength (i.e., 292 nm),
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even though the actual values were not determined in this study. As a result, total residual
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chlorine concentration at each reaction time (i.e., ) can be calculated using Eq. 2, assuming
275
negligible contributions from both residual DCAM and formed N-Cl-DCAM to the total
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absorbance (i.e., , ) at 292 nm (i.e., ,!"! [] ≈ ,!"! [] ≈ 0 in
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Eq.1).
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=
%&, =
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, (2) %&, ,!"! + %', ,!"!
[ ) ] *+, ; %', = (3) ) *+, + [ ] *+, + [ ) ]
In Eq. 2, the respective molar absorptivities of hypochlorite and hypochlorous acid at 292 nm
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are 350.2 M-1cm-1 and 26.95 M-1cm-1.21,22 The two alpha values (denoted as %& and %' in the
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following discussion for simplicity) represent the fractions of total residual chlorine that are in
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the form of hypochlorous acid (i.e., %& ) and hypochlorite (i.e., %' ), respectively. At any given pH,
282
those two fractions can be determined using Eq. 3 and a dissociation constant *+, for
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hypochlorous acid of 10-7.582 at 20°C (Morris, 1966).
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As is shown in Figure 2(a), residual chlorine concentrations were consistent with a rate law
285
that is second-order in total chlorine (i.e., ). Furthermore, DCAM exhibited a fixed demand of
286
1 mM Cl2 per 1 mM DCAM in the presence of excess molar equivalents of chlorine (Figure
287
2(b)), suggesting a 1:1 reaction stoichiometry between DCAM and total free chlorine. Perhaps
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most importantly, it is clear from Figure 2(a) that hypochlorite is the only reactive form of
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chlorine in DCAM N-chlorination, because chlorine decay was nearly undetectable at pH 6 but
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was substantially accelerated when pH was above .*+, of 7.582.23 The specific participation
291
of hypochlorite in DCAM chlorination is consistent with the amide N-chlorination mechanism,24
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which indicates that formation of a hydrogen bond by the amino hydrogen with the hypochlorite
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oxygen is the rate-limiting step for this type of reactions. Moreover, hypochlorite is probably the
294
only chlorinating agent since the oxygen atom in hypochlorous acid does not have enough
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electron-donating tendency to form such a hydrogen bond with the amino hydrogen.24 Therefore,
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the full second-order DCAM chlorination kinetics can be described as follows, which reflects the
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particular involvement of hypochlorite in this reaction: /0
+ 1223 (4) 5[] 5 = = 789 [][ ] = 789 ∙ %' = 789 %' ∙ ! 56 56 ; ?