Geochimica et Cosmochimica Acta, Vol. 69, No. 1, pp. 83-93, 2005 Copyright © 2005 Elsevier Ltd Printed in the USA. All rights reserved 0016-7037/05 $30.00 ⫹ .00 doi:10.1016/j.gca.2004.05.043 Oxidation of iron (II) nanomolar with H2O2 in seawater MELCHOR GONZÁLEZ-DAVILA, J. MAGDALENA SANTANA-CASIANO, and FRANK J. MILLERO* Rosenstiel School of Marine and Atmospheric Science, University of Miami, 4600 Rickenbacker Causeway, Miami, FL 33149, USA (Received January 23, 2004; accepted in revised form May 20, 2004) Abstract—The oxidation of Fe(II) with H2O2 at nanomolar levels in seawater have been studied using an UV-Vis spectrophotometric system equipped with a long liquid waveguide capillary flow cell. The effect of pH (6.5 to 8.2), H2O2 (7.2 ⫻ 10⫺8 M to 5.2 ⫻ 10⫺7 M), HCO⫺ 3 (2.05 mM to 4.05 mM) and Fe(II) (5 nM to 500 nM) as a function of temperature (3 to 35 °C) on the oxidation of Fe(II) are presented. The oxidation rate is linearly related to the pH with a slope of 0.89 ⫾ 0.01 independent of the concentration of HCO⫺ 3 . A kinetic model for the reaction has been developed to consider the interactions of Fe(II) with the major ions in seawater. The model has been used to examine the effect of pH, concentrations of Fe(II), H2O2 and HCO⫺ 3 as a function of temperature. FeOH⫹ is the most important contributing species to the overall rate of oxidation from pH 6 to pH 8. At a pH higher than 8, the Fe(OH)2 and Fe(CO3)2⫺ species contribute over 20% to the 2 rates. Model results show that when the concentration of O2 is two orders of magnitude higher than the concentration of H2O2, the oxidation with O2 also needs to be considered. The rate constants for the five most kinetically active species (Fe2⫹, FeOH⫹, Fe(OH)2, FeCO3, Fe(CO3)2⫺ 2 ) in seawater as a function of temperature have been determined. The kinetic model is also valid in pure water with different concentrations of HCO⫺ Copyright © 2005 Elsevier Ltd 3 and the conditions found in fresh waters. Farlow, 2000), these measurements were made in dilute solutions and with different buffers to extract oxidation rate constants for the Fe(II)-hydrolysis and carbonate species. This model has been applied to describe the behavior of Fe(II) in natural fresh water and with solutions at a high ionic strength (King and Farlow, 2000; Pullin and Cabaniss, 2003). The reaction mechanism for the oxidation of Fe2⫹ with H2O2 has not been resolved satisfactorily. Most researchers have accepted the free radical chain mechanism, initially proposed by Haber and Weiss (1934) and modified by Barb et al. (1951) working under very acidic conditions. The mechanism of the reaction between Fe(II) and H2O2 has been widely assumed to be the following 1. INTRODUCTION The oxidation of Fe(II) with H2O2 has been studied in seawater by a number of authors. H2O2 is an intermediate in the reduction of oxygen to water and can act as an oxidant in the reaction with Fe(II) (Moffett and Zika, 1987). The H2O2 in surface water is also generated by photochemical processes, due to the presence of organic compounds (Moffet and Zika, 1983). The H2O2 is present at a concentration of ⬃10⫺7 M in surface seawater (Zika et al., 1985a, 1985b; Moore et al., 1993). Thus, hydrogen peroxide in seawater is in excess with respect to the concentration of Fe(II) and could be an important oxidation pathway for the Fe(II) oxidation. Moffett and Zika (1987) and Millero and Sotolongo (1989) using the bathophenantroline method (Sung and Morgan, 1980) have studied this reaction at micromolar levels of Fe(II). Millero et al. (1991) studied the effect of ionic interactions on the rates of oxidation of Fe(II) with hydrogen peroxide at micromolar levels in different media. In recent years, the chemiluminiscence technique using the luminol reagent has been used to study the oxidation of Fe(II) at nanomolar levels in different media (King et al., 1995; Millero et al., 1995a; King and Farlow, 2000). The utilization of a long liquid waveguide capillary flow cell (LWCFC) permits the spectrophotometric determination of Fe(II) at nanomolar levels (Zhang et al., 2001). The advantage of this technique, apart from the low level of detection that could also be obtained with the chemiluminiscense technique, is that one can to follow the spectrum of the complex between Fe(II) and ferrozine or bathophenantroline indicators. Although some studies have been carried out in recent years on the oxidation of Fe(II) with O2 and H2O2 at nanomolar levels of Fe(II) to define a kinetic model (King, 1998; King and Fe2⫹ ⫹ H2O2 → Fe3⫹ ⫹ OH● ⫹ OH⫺ (1) Fe2⫹ ⫹ OH● → Fe3⫹ ⫹ OH⫺ (2) OH● ⫹ H2O2 → HO2● ⫹ H2O (3) Fe2⫹ ⫹ HO2● → Fe3⫹ ⫹ HO2⫺ (4) Fe3⫹ ⫹ O2●⫺ → Fe2⫹ ⫹ O2 (5) In equation (5), the equilibrium between the two forms of superoxide has been considered and O●⫺ is used instead of 2 HO●⫺ (pK ⫽ 4.8, Barb et al., 1951, Dunford, 2002). This 2 scheme is a chain mechanism in which Fe2⫹ is regenerated. However, other authors consider a non-free radical mechanism. Kremer (1999) published a reinvestigation of the reaction of ferrous iron with H2O2 at low pH considering the formation of an intermediate oxidant, the ferryl ion, FeO2⫹. This species was first proposed by Bray and Gorin (1932) as one step in the ferric ion catalyzed decomposition of H2O2. * Author to whom correspondence should be addressed (fmillero@ rsmas.miami.edu). 83 Fe2⫹ ⫹ H2O2 → FeO2⫹ ⫹ H2O (6) FeO2⫹ ⫹ H2O2 → Fe2⫹ ⫹ H2O ⫹ O2 (7) 84 M. González-Davila, J. M. Santana-Casiano and F. J. Millero Reaction (7) takes places when H2O2 is in excess. When the ferrous ion is in excess equation (6) will be followed by the equation 2H⫹ FeO2⫹ ⫹ Fe2⫹ → 2Fe3⫹ ⫹ H2O (8) This mechanism shows both ferrous and ferryl ions attacked by hydrogen peroxide, but not ferric ions. According to Dunford (2002) there is no obvious kinetic way to distinguish the two mechanisms and the conflict cannot be settled at the present time. In seawater this distinction is probably not important as both species should react rapidly with Br⫺ and HCO⫺ 3 , even● tually forming Br⫺ 2 and HCO3 , which will be the principal oxidants in subsequent reactions (Moffet and Zika, 1987; Emmenegger et al., 1998). The objective of this work is to examine the oxidation of Fe(II) in seawater with hydrogen peroxide over a range of concentrations similar to that found in the ocean. The effect of pH, concentration of HCO⫺ 3 and Fe(II) as a function of temperature on the oxidation rate of Fe(II) has been considered. A kinetic model that describes the behavior of Fe(II) under different experimental conditions has been developed to explain the results. The contribution of each Fe(II) species to the overall rates of Fe(II) oxidation has also been determined. 2. MATERIAL AND METHODS 2.1. Chemicals Fe(II) stock solutions (2 ⫻ 10⫺3 M) were prepared using ferrous ammonium sulfate hexahydrate (Fisher), acidified with Suprapur HCl. The initial concentration of Fe(II) was kept at 250 nM in the reaction vessel in most of the studies. All chemicals used for the Fe(II) determination were trace analysis grade. 2.2. Oxidation Experiments The reactions were studied in a 250 mL glass thermostated vessel. The temperature was controlled to ⫾ 0.02°C with a NesLab circulating bath in the range of 3 to 35 °C. The top of the vessel had four openings, one for a glass frit to bubble N2 through the solutions, two for both the glass and the reference electrode, and one to insert a calibrated pipette, from which the samples were taken. The solutions were stirred with a teflon-coated magnetic stirrer. The samples were taken from the vessel with a 10 mL calibrated automatic pipette and added to the 25 mL glass flasks where the ferrozine reagents had been previously added. Considering the 2.5 dilution factor for the Fe(II) determination, the initial concentration in the 200 mL of seawater solution was fixed at 250 nM. After bubbling the solution with N2 for 1 h, the pH was adjusted to the desired value with additions of small amounts of HCl and the required amount of H2O2 was added to the seawater. The addition of the Fe(II) stock solution (25 L of 2 mM Fe(II) in HCl 0.01M) to the seawater corresponds to the zero time of reaction. The pH for the study was recorded during the reaction to account for any change after the addition of the Fe(II). The change in pH was always less than 0.02 U, with the highest effects occurring at low pH where the buffer capacity of the carbonate is lowest. In all cases, the gas stream was passed through a MnO⫺ 4 solution to eliminate any H2O2 and through a trap with MilliQ 18 M⍀ pure water. The N2 was continuously bubbled through the solutions during the experiments. Fe(II) oxidation experiments at different bicarbonate concentrations were carried out under the same conditions after increasing the concentration of NaHCO3 from the initial value (2.05 mM) to the desired level. To determine if Fe(III) is reduced by H2O2 under our experimental conditions, control experiments were carried out with Fe(III), 2.5 ⫻ 10⫺7 M, in seawater in the pH range from 7 to 8.2 in the presence of 1 ⫻ 10⫺7 M H2O2. 2.3. pH Measurements Tris-(hydroxymethyl)aminomethane (Tris)-artificial seawater buffers (Millero, 1986; Millero et al., 1987) were used to calibrate the electrode system used to determine the pH of the solutions. These buffers were prepared with a concentration of both TRIS and TRISHCl of 0.005 m. The pH was measured on the free scale with an Orion pH meter using an Orion glass electrode and an Orion Ag/AgCl reference electrode. The outer sleeve of the reference electrode was filled with 0.7 m NaCl. The effect of temperature on the pK* of the Tris-buffers was considered in each study (Millero, 1986). 2.4. Fe(II) Analysis The Fe(II) concentration was determined spectrophotometrically using a modified version of the ferrozine method (Gibbs, 1976). In this method, 10 mL samples react with ferrozine (50 L, 0.01 M) in an acetate buffer solution (2 mL, pH ⫽ 5.5) to form a pink Fe(II)-ferrozine complex that absorbs at 562 nm. The Ferrozine solution was prepared by dissolving 0.51 g of ferrozine (C20H13N4NaO6S2 · 2H2O) in 100 mL of water. The buffer was made up with a ratio of 1:8 using 6.9 M HCl and 5 M HAc/ammonia solutions. The 5 M solution was prepared by mixing 338 mL ammonium hydroxide and 286 mL acetic acid and diluted to 1 L with MilliQ-18⍀ pure water. Different authors have reported some interferences in this method due to the presence of Fe(III). Murray and Gill (1978) found that the ferrozine added to an Fe(III) solution showed a slow increase of color with the time that may be due to reduction of Fe(III) to Fe(II) by ferrozine. Hong and Kester (1986) estimated that the reduction of Fe(III) was of order of 10% after 10 mins. and could be ⬃25% for longer periods of time. Fe(III) can be masked by the addition of strong ligands such us F⫺, NTA and EDTA (Viollier et al., 2000). NTA and EDTA have been shown to affect the kinetic of Fe(II) oxidation (Santana-Casiano et al., 2000). F⫺ forms a FeF2⫹ ion pair that is nonreactive to reduction (Millero et al., 1995a). Considering that in our studies the Fe(III) is present due to both, the Fe(II) oxidation and natural Fe(III), NaF was used at a final concentration 1.25 M to complex any soluble Fe(III) and to avoid any interference. When the NaF was used with the acetate buffer and ferrozine solution, a stable absorbance reading was observed for over 30 mins. A 5 m long waveguide capillary flow cell (LWCFC) from Ocean Optics was used to carried out measurements at nanomolar levels of Fe(II) concentration. The LWCFC was connected to two fiber optics connectors for light path, one coming from a tungsten lamp and the another to the UV detector S2000 (Ocean Optics) and the spectra recorded using the OOIBase32 computer program provided by Ocean Optics. The sample was pumped using a Rabbit peristaltic pump through the two fluid connectors on the front panel of the LWCFC case. During the absorbance reading, the circulating pump was turned off to obtain a stable reading. The utilization of this long flow cell significantly enhances the sensitivity of spectrophotometric analysis of iron by the ferrozine method (Zhang et al., 2001). The response of the system was linear over two orders of magnitude Fe(II) ([Fe(II)] ⫽ 0.408 ⫹ 82.92 Abs), with a standard error for the Fe(II) determination of ⫽ 1.0 nM in [Fe(II)]. 2.5. H2O2 Determination Hydrogen peroxide was determined using an enzyme-mediated fluorescent decay method (Zika and Saltzman, 1982) utilizing horseradish peroxidase and scopoletin. Batch hydrogen peroxide determinations were performed with a Turner Designs model 10 fluorometer equipped with a stirred large volume cuvette adapter, using 25 ⫻ 150 mm borosilicate culture tubes (Moore et al., 1993). 2.6. Oxygen Determination Dissolved oxygen concentration in seawater was determined using a modified Winkler method described by Hansen (1999). This was done to check the initial dissolved oxygen concentration after bubbling the seawater solution with nitrogen. Oxidation of Fe(II) by H2O2 Fig. 1. Values of the log k1 vs. log [H2O2] for the oxidation of Fe(II) with H2O2 at 25°C and pHF ⫽ 8.17 and S ⫽ 36.244. The pseudofirst order rate constants show a linear relationship both with [H2O2] in excess (solid line) and in the full range studied (dashed line). 2.7. Numerical Model A kinetic model has been used to explain the oxidation kinetics of Fe(II) with H2O2 in seawater. The Gepasi Version 3.21 (Mendes, 1997) software system was used to simulate the chemical kinetics and to compute the time-dependent concentrations of all the reactants. The individual rate constants ki are obtained by adjusting the observed [Fe(II)] concentration/time pair of data for the different experimental conditions with the kinetic model output. A response surface methodology (Box and Draper, 1987) together with initial conditions and ki values were used in the Gepasi program to generate theoretical [Fe(II)] concentrations as a function of time. The Statistica Program for Windows (1995) was used in the minimization procedure. Initial conditions and concentration and time data were inserted in the Statistica Program until the sum of squared residuals from the difference between model and data were minimized for the entire set of experiments (SantanaCasiano et al., 2004). In the Gepasi software, chemical equilibrium is treated as a series of forward and backward reactions with bimolecular rate constants of 1010 M⫺1s⫺1 for the acid bases and complex formation backward reactions following Buerge and Hug (1998). 3. RESULTS 85 The reduction of Fe(III) has also been proposed to occur in the presence of H2O2 (Pignatello, 1992) generating Fe(II). Control experiments carried out with Fe(III), 2.5 ⫻ 10⫺7 M, in seawater in the pH range from 7 to 8.2 in the presence of 1 ⫻ 10⫺7 M H2O2 did not show any formation of Fe(II), possibly due to the formation of kinetically inert ferric hydroxy colloids (Moffet and Zika, 1987). Consequently, a Fe(II) regeneration process was not considered in our studies and in the kinetic model. To examine the order of the reaction with respect to H2O2, we have made a number of measurements with different initial concentrations of H2O2 at pH 8.17 (S ⫽ 36.244). Figure 1 shows the resulting pseudofirst-order rate constant for the oxidation of Fe(II) with different concentrations of H2O2. When the concentration of H2O2 was over the stoichiometric ratio 2:1 ([H2O2]o ⬎ 1.25 ⫻ 10⫺7 M), the resulting slope is 1.00 ⫾ 0.01. This result indicates that the reaction is first-order with respect to [H2O2] and in agreement with the past micromolar studies (Millero and Sotolongo, 1989). At low concentrations of H2O2 ([H2O2]o ⬍ 1.25 ⫻ 10⫺7 M), deviations from a linear dependence were observed and assuming a pseudofirst order rate is not valid. Changes in the contributions of the major species at pH over 8 and the presence of trace amounts of oxygen may control the rates at low [H2O2]. The slope for the linear relationship with [H2O2] for all the data shown in Figure 1, at times lower than t1/2, yield a slightly higher value of 1.26 ⫾ 0.03. As found by other authors (Millero and Sotolongo, 1989), our results show the oxidation of Fe(II) is strongly dependent on pH. Our results are shown in Figure 2 over the pH range of 6.5 to 8.2, with 275 nM hydrogen peroxide at 25°C (Fe(II): H2O2 ratio 1:1) assuming pseudofirst order kinetics. At pH values lower than 7.5, a pseudofirst order rate for the Fe(II) oxidation was clearly observed at times longer than t1/2. At pH over 7.5 as the case at low [H2O2], an increased role of the oxygen and changes in the Fe(II) speciation can account for a higher order of the reaction. The values of log k (k ⫽ k1[H2O2]⫺1) assuming a pseudofirst order rate at times lower than t1/2 over the entire pH range, have been fitted to the linear equation The oxidation of Fe(II) in seawater in the presence of H2O2 can be described by Fe(II) ⫹ H2O2 → Products (9) where Fe(II) represents all the iron (II) species present in the solution. At micromolar levels, this reaction has been found to be first order with respect to total Fe(II) and H2O2 concentration (Millero and Sotolongo, 1989; Millero et al., 1991) d[Fe(II)] dt ⫽ ⫺k[Fe(II)][H2O2] (10) The brackets denote the total molar concentration. When the reactions are studied with an excess of [H2O2], the reaction becomes pseudofirst-order (Moffet and Zika, 1987; Millero and Sotolongo, 1989) d[Fe(II)] dt where k1 ⫽ k · [H2O2] ⫽ ⫺k1[Fe(II)] (11) Fig. 2. Effect of pH on the values of log k (M⫺1 s⫺1) for the oxidation of Fe(II) with [H2O2] in seawater (S ⫽ 36.244, total dissolved inorganic carbon 2.05 mM) and with NaHCO3 added at 25°C. 86 M. González-Davila, J. M. Santana-Casiano and F. J. Millero Table 1. Fe(II)-H2O2 oxidation rate constants (M⫺1 s⫺1) in seawater under different experimental conditions. 25°C pHF in seawater* 8.17 8.05 7.94 7.75 7.71 7.36 7.06 6.99 6.89 6.70 6.54 7.94 7.94 6.99 6.70 (2.9 mM HCO⫺ 3) (4.05 mM HCO⫺ 3) (4.05 mM HCO⫺ 3) (4.05 mM HCO⫺ 3) 10°C Log k (M⫺1 s⫺1) 4.77 4.64 4.54 4.37 4.36 4.06 3.82 3.73 3.60 3.45 3.30 4.64 4.73 3.83 3.53 pHF in seawater* 8.17 8.00 7.55 7.29 7.01 6.53 8.17 8.00 7.01 6.53 8.17 8.17 8.17 (4.05 mMHCO⫺ 3) (4.05 mMHCO⫺ 3) (4.05 mMHCO⫺ 3) (4.05 mMHCO⫺ 3) (20°C) (3°C) (35°C) Log k (M⫺1 s⫺1) 4.17 4.04 3.53 3.35 2.93 2.64 4.40 4.24 3.26 2.78 4.52 3.84 5.00 * [HCO3] ⫽ 2.05 mM log k ⫽ ⫺2.55(⫾0.09) ⫹ 0.89(⫾0.01)pH (12) Over this pH range, the dependence with pH gives a similar slope to the values determined at micromolar levels by Moffet and Zika (1987) and Millero and Sotolongo (1989). Previous studies (Millero et al., 1991; King and Farlow, 2⫺ 2000) have shown that the addition of HCO⫺ 3 (or CO3 ) causes the rates of oxidation of Fe(II) with H2O2 to increase. Total dissolved inorganic carbon concentration in the seawater used in this study was 2.05 mM. To explain the effect of carbonate on the oxidation of Fe(II) in seawater, the concentration of HCO⫺ 3 was increased to 2.95 mM and 4.05 mM over the pH range 6.5 to 8.2. Figure 2 shows the effect of HCO⫺ 3 on the oxidation rates of Fe(II) giving a slope of 0.96 ⫾ 0.01 when the total carbonate concentration was 4.05 mM. At pH ⫽ 7.94, the oxidation rate increases from 0.046 min⫺1 in natural seawater to 0.056 min⫺1 when the concentration of HCO⫺ 3 was 4.05 mM. As we will show later, changes in the Fe(II) speciation and formation of the reactive species FeCO3 and Fe(CO3)2⫺ 2 are responsible for the observed behavior. In our next series of experiments, we determined the effect of temperature on the rates of oxidation of Fe(II) with H2O2 in seawater. The experiments were made at the natural pH of seawater 8.17 and a Fe(II):H2O2 ratio of 1:1 (Table 1). A decrease in the oxidation rate was observed when the temperature decreases from 35 to 3 °C. The values of k over the entire temperature range have been fitted to the equation. ln k ⫽ 35.4(⫾1.3) ⫺ 7279(⫾383) 1 ⁄ T (13) with a standard error of 0.05. This gives an energy of activation of 60 ⫾ 3 kJ mol⫺1 close to the value determined by Millero and Sotolongo (1989) of 56 ⫾ 2 kJ mol⫺1 at micromolar level and a pH ⫽ 6. Similar studies were carried out at 10°C to study the effect of pH and HCO⫺ 3 on the Fe(II) oxidation rate (Table 1). Linear relationships were obtained for the pH dependence in seawater with different levels of HCO⫺ 3 at 10°C. log k ⫽ ⫺3.74(⫾0.39) ⫹ 0.97(⫾0.05)pH < HCO3⫺ = ⫽ 2.05 mM (14) log k ⫽ ⫺3.64(⫾0.02) ⫹ 0.98(⫾0.01)pH < HCO3⫺ = ⫽ 4.05 mM (15) These results show that the Fe(II) oxidation by hydrogen peroxide is first-order with respect to the proton concentration and a two-fold increases in the total HCO⫺ 3 concentration increases the log k by 0.1 U over the pH range studied. The effect of ionic strength [I ⫽ 0.0199 · S/(1–10⫺3 · S), (where S is the salinity)] on the oxidation rates (k, M⫺1s⫺1) was evaluated by Millero and Sotolongo (1989) at micromolar levels of Fe(II) and can be represented at 25°C and pH ⫽ 6.0 by log k ⫽ 3.84 ⫺ 1.70I1⁄2 ⫹ 1.20I (16) King and Farlow (2000) studied the Fe(II) oxidation at nanomolar levels with H2O2 for pure water with 2.0 mM NaHCO3 at 25°C and obtained a value of log k (M⫺1s⫺1) of 4.26 at pH ⫽ 6.98. In seawater, with a similar concentration of NaHCO3 and pH, we have obtained a value of log k ⫽ 3.72 (Table 1). If we assume that Eqn. 16 is valid at nM levels of Fe(II) and at a fixed pH, we obtain log k ⫽ 4.29 in pure water (2 mM NaHCO3) at pH 6.98, similar to the experimental value of King and Farlow (2000). This indicates that the effect of ionic strength on the Fe(II) oxidation rate by H2O2 at nM is similar to the values at M. At pH ⫽ 8.17 and taking into account that in seawater with a salinity of 36.244 (I ⫽ 0.748), log k ⫽ 4.77 (Table 1), Eqn. 16 be expressed as log k ⫽ 5.34 ⫺ 1.70I1⁄2 ⫹ 1.20I (17) According to Eqn. 17, in pure water with 2.0 mM NaHCO3 and pH ⫽ 8.17, log k ⫽ 5.34. Oxidation of Fe(II) by H2O2 87 Table 2. Stability constants for the formation of Fe(II) and Fe(III) inorganic complexes considered for the kinetic model. N° 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 Species ⫹ ⫺ H2O N H ⫹ OH ⫹ CO2 ⫹ H2O N HCO⫺ 3 ⫹ H 2⫺ HCO⫺ ⫹ H⫹ 3 N CO3 Na⫹ ⫹ HCO⫺ 3 N NaHCO3 Na⫹ ⫹ CO2⫺ N NaCO⫺ 3 3 ⫹ Ca2⫹ ⫹ HCO⫺ 3 N CaHCO3 2⫹ 2⫺ Ca ⫹ CO3 N CaCO3 ⫹ Mg2⫹ ⫹ HCO⫺ 3 N MgHCO3 Mg2⫹ ⫹ CO2⫺ N MgCO 3 3 2 Mg2⫹ ⫹ CO2⫺ N Mg2(CO3)2⫹ 3 2⫹ ⫺ ⫹ Mg ⫹ OH N MgOH ⫹ Fe2⫹ ⫹ HCO⫺ 3 N FeHCO3 Fe2⫹ ⫹ CO2⫺ N FeCO 3 3 Fe2⫹ ⫹ 2 CO2⫺ N Fe(CO3)2 3 2⫹ 2⫺ ⫺ Fe ⫹ CO3 ⫹ OH N Fe(CO3)(OH)⫺ Fe2⫹ ⫹ H2O N Fe(OH)⫹ ⫹ H⫹ Fe2⫹ ⫹ 2 H2O N Fe(OH)2 ⫹ 2 H⫹ Fe2⫹ ⫹ Cl⫺ N FeCl⫹ Fe2⫹ ⫹ SO2⫺ N FeSO4 4 H⫹ ⫹ SO2⫺ N HSO⫺ 4 4 3⫹ ⫺ Fe ⫹ Cl N FeCl2⫹ Fe3⫹ ⫹ 2 Cl⫺ N FeCl⫹ 2 Fe3⫹ ⫹ H2O N Fe(OH)2⫹ ⫹ H⫹ 3⫹ ⫹ Fe ⫹ 2 H2O N Fe(OH)⫹ 2 ⫹ 2 H Fe3⫹ ⫹ 3 H2O N Fe(OH)3 ⫹ 3 H⫹ ⫹ Fe3⫹ ⫹ 4 H2O N Fe(OH)⫺ 4 ⫹ 4 H Log K (0.7 mol L⫺1, 25°C) Ref ⫺13.69 ⫺6.005 ⫺9.6 ⫺0.53 0.42 0.33 2.1 0.28 1.94 2.59 1.70 0.97 4.33 6.09 8.90 ⫺9.66 ⫺20.87 ⫺0.12 0.96 ⫺0.10 0.57 0.13 ⫺2.62 ⫺6.0 ⫺12.5 ⫺21.8 1 1 1 2 2 2 2 2 2 2 2 3 4 4 4 5 5 4 4 1 5 5 5 5 5 5 1. Millero, 1995. 2. Millero and Schreiber, 1982. 3. Millero and Hawke, 1992. 4. King, 1998. 5. Millero et al., 1995b. 4. DISCUSSION The oxidation of Fe(II) in natural waters has been proposed to occur through the mechanism previously described but considered all the iron species present in the media (Moffet and Zika, 1987; Millero and Sotolongo, 1989) Fe(II) ⫹ H2O2 → Fe(III) ⫹ OH● ⫹ OH⫺ (18) Fe(II) ⫹ OH● → Fe(III) ⫹ OH⫺ (19) Under the conditions studied in this work, at relatively low Fe(II) : [H2O2] ratios the oxidation of Fe(II) is second order overall in the reactants as described by d[Fe(II)] dt ⫽ ⫺2k[Fe(II)][H2O2] (20) The values of k (Millero and Sotolongo, 1989) for the overall Fe(II) oxidation rate is a complex function of pH and can be explained in terms of the weighted sum of the oxidation rate of individual Fe(II) species presented in the solution. The factor of 2 in Eqn. 20 accounts for the fast reaction with the hydroxyl radical (Eqn. 19) with Fe(II). The intermediate OH● radical reacts rapidly and unselectively with many natural species (Hoigné, 1988). The oxidation rate of Fe(II) with OH● should be dependent on [Fe(II)], if other substances are competing for the same oxidant. In seawater solutions (pH ⫽ 7.2) and with [Fe(II)] from 100 nM to 1000 nM, the pseudofirst-order rate constant, k1, does not change appreciably, from 0.11 ⫾ 0.01 min⫺1 to 0.13 ⫾ 0.02 min⫺1 when the [H2O2] added was kept at 4.24 M. This indicates that OH● or any resulting reactive ● species formed in seawater (Br⫺ 2 , HCO3 , organic radicals) must react predominantly with Fe(II) as was found by King and Farlow (2000) in pure water. Emmenegger et al. (1998) in lake waters with high dissolved organic carbon ([DOC] ⫽ 3.2 mg L⫺1) showed the OH● was scavenged by dissolved organic matter, HCO⫺ 3 and Fe(II) according to Larson and Zepp (1988). The formation of HCO●3 was particularly favorable under such conditions and the main reaction pathway for the radical is the scavenging by DOC. In our studies, for the pH range 6 to 8 and in seawater with a total alkalinity of 2.4 mM and dissolved organic carbon of 87 M, the formation of HCO●3 (King 1998) and Br⫺ 2 (Moffet and Zika, 1987) are favorable and the main reaction pathway is expected to be Fe(II). The overall Fe(II) oxidation rate is expressed in terms of the weighted sum of the oxidation rates of the individual Fe(II) species k ⫽ kFe2⫹␣Fe2⫹ ⫹ kFeOH⫺␣FeOH⫺ ⫹ kFe(OH)2␣Fe(OH)2 ⫹ kFeHCO⫺3 ␣FeHCO⫺3 ⫹ kFe(CO3)␣Fe(CO3) ⫹ kFe(CO3)2⫺ ␣Fe(CO3)2⫺ 2 2 ⫹ kFe(CO3)(OH)⫺␣Fe(CO3)(OH)⫺ ⫹ kFeCl⫹␣FeCl⫹ ⫹ kFeSO4␣FeSO4 (21) where ␣i is the molar fraction of Fe(II) species in the solution. To verify this rate law and to determine the individual rate constants, we have defined a kinetic model (Santana-Casiano et al., 2004) with all pertinent dissociation, complex formation and oxidation reaction for the Fe(II) species in seawater (Table 2). The presence of the different major inorganic species in the 88 M. González-Davila, J. M. Santana-Casiano and F. J. Millero Fig. 3. Fe(II) speciation in seawater media with an ionic strength of 0.7 M following the equilibrium constants presented in Table 2. Fig. 4. Experimental and predicted Fe(II) concentration as a function of pH using the individual rate constants presented in Table 3. Initial [Fe(II)]o ⫽ 250 nM and [H2O2]o ⫽ 275 nM. seawater solution, Ca2⫹, Mg2⫹, K⫹ and Na⫹ that affect the carbonate and Fe(II) speciation were also considered in the 0.7 M seawater solution to account for the formation of ion-pairs. To gain an insight into the role played by the different Fe(II) species in the oxidation kinetic of Fe(II), Figure 3 shows the Fe(II) speciation in seawater between pH 6.5 to 8.2. In this pH range Fe(II) speciation is dominated by the Fe2⫹, FeCl⫹ and FeSO4 species while only at pH higher than 8.2 does the FeCO3 species become higher than Fe2⫹. The concentrations of FeOH⫹ and Fe(OH)2 only reach values of 1.1 ⫻ 10⫺9 M and 7.9 ⫻ 10⫺13 M at pH 8 for a total Fe(II) concentration of 1.25 ⫻ 10⫺7 M. To get values for the nine individual rate constants for the oxidation of Fe(II) the kinetic model was applied to the experimental results at the different pH and HCO⫺ 3 concentrations. Using the methods described earlier, the computed rate constants describing all the experimental conditions presented in this work with a 95% confidence, are given in Table 3. The fitting of these rate constants in describing the experimental data are shown in Figure 4 where the lines represent the output from the kinetic model. The studies carried out both at different carbonate concentrations and pH (Fig. 5) allowed us to obtain reasonable values for the oxidation rates of FeHCO⫹ 3 , FeCO3, Fe(CO3)2⫺ and Fe(CO3)(OH)⫺ species and Fe2⫹, Fe(OH)⫹ 2 and Fe(OH)2 species, respectively. Figure 6 shows the contributions of the different Fe(II) species to the total Fe(II) oxidation rate. For the pH range of this study, FeOH⫹ is the most important contributing species to the overall oxidation rate while FeCO3 contributes half of the FeOH⫹ value. These two Fe(II) species are consistent with the first order pH-dependence on Fe(II) oxidation reported by previous studies (Moffet and Zika, 1987; Millero and Sotolongo, 1989) and shown in Figure 3. At values of pH higher than 8, the Fe(OH)2 and Fe(CO3)2 species contribute over 20%. The Fe(OH)2 complex is the most important species at pH higher than 8.1. Thus, in seawater at low pH the first order pH dependence is due to the FeOH⫹ complex; while at high pH the Fe(OH)2 complex causes the second order pH dependence. This is similar to the oxidation of Fe(II) with O2 in seawater at carbonate levels of 2 M (Millero et al., 1987). King and Farlow (2000) have computed individual Fe(II) oxidation rates with H2O2 at nanomolar levels in pure water with different concentrations of HCO⫺ 3 . They also found a second order pH-dependence for the oxidation of Fe(II) with H2O2 for pure water with different bicarbonate concentrations at pH over 8. Their values for the two species, kFeOH ⫽ 3.8 ⫻ 105 and kFeCO3 ⫽ 2.2 ⫻ 104 (M⫺1 s⫺1), are 75% lower and 15% higher, respectively, than our values in seawater. Their studies in NaHCO3 were carried out in the pH range 4.62 to 7.05, very far from the pH of seawater, where the change in the speciation of both Fe(II) and HCO⫺ 3 occurs (Fig. 3). The presence of major ions Ca2⫹ and Mg2⫹ in seawater interacting both with carbonate and hydroxide species and differences in Table 3. Fe(II) oxidation rates with hydrogen peroxide in seawater (log k, M⫺1 s⫺1) at different temperatures valid for the pH range 6 to 8.2 calculated from the kinetic model. Values in pure water according to Eqn. 16 (25°C, 2 mM NaHCO3) are also included. Species 2⫹ Fe FeHCO⫹ 3 FeCO3 Fe(CO3)2⫺ 2 Fe(CO3)OH⫺ ⫹ FeOH Fe(OH)2 FeCl⫹ FeSO4 3°C 10°C 20°C 25°C 35°C Pure Water 1.2 ⬍1.6 3.5 5.5 ⬍1.4 5.9 8.5 ⬍1.6 ⬍1.7 1.6 ⬍1.6 3.7 6.0 ⬍1.4 6.0 8.8 ⬍1.6 ⬍1.7 2.1 ⬍1.6 4.1 6.7 ⬍1.4 6.1 9.0 ⬍1.6 ⬍1.7 2.4 ⬍1.6 4.3 7.2 ⬍1.4 6.2 9.3 ⬍1.6 ⬍1.7 2.8 ⬍1.6 4.6 7.9 ⬍1.4 6.3 9.6 ⬍1.6 ⬍1.7 2.9 ⬍1.8 4.9 7.8 ⬍1.9 6.8 9.9 Oxidation of Fe(II) by H2O2 Fig. 5. Experimental and predicted Fe(II) concentration as a function of pH in the presence of different NaHCO3 concentrations at 25°C using the kinetic model and constants presented in Table 3. the ionic strength between these two studies can account for the differences in the rate constants. The concentration of free 2⫹ HCO⫺ in seawater is reduced com3 available to complex Fe pared to the same amount in to pure water due to the presence of high concentrations of Ca2⫹ and Mg2⫹ (see below). Our model has also been applied to the Fe(II) oxidation with different concentrations of H2O2. The total Fe(II) concentration determined from the model and the experimental rate data are in very good agreement. When, however, the concentration of H2O2 was reduced and kept below the stoichiometry ratio, the model output gave slower rates than those determined experimentally. At a very low concentrations of hydrogen peroxide, the presence of trace amounts of oxygen in the solution even after of bubbling with N2 can also affect the concentration of Fe(II) in the solutions. After one hour bubbling with N2, the O2 concentration in the solution was still 17 M (210 M before bubbling with N2). This amount of O2 has been neglected in all the studies using high amounts of H2O2. To account for this effect, oxidation of the different Fe(II) species with molecular oxygen were also included in our kinetic model following Fig. 6. Contribution of specific Fe(II) species in total Fe(II) oxidation rate by hydrogen peroxide in seawater (S ⫽ 36.244) and 25°C. 89 Fig. 7. Experimental and predicted Fe(II) concentration as a function of [H2O2] concentration in seawater (S ⫽ 36.244, pHF ⫽ 8.17, T ⫽ 25°C). Lines represent model output considering both the absence of dissolved O2 (solid lines) and the presence of O2 at the concentration of 17 M (dashed lines). Santana-Casiano et al. (2004). By considering the amount of O2 in the solutions, faster oxidation rates were obtained and give a good fit of the experimental results (the dashed lines in Fig. 7). The model shows that when the dissolved O2:H2O2 ratio is higher than 100, the oxidation with oxygen becomes important and needs to be considered. A 20% decrease in the concentration of the most active Fe(II) species is observed after reacting for two minutes when the initial H2O2 concentration was 7.22 ⫻ 10⫺8 M and O2 equal 17 M. In most of our studies, the O2:H2O2 ratio was 60 and the values predicted by the model with and without considering the O2 contribution are within the estimated error. A similar effect was also observed when the model was applied to describe the effect of Fe(II) concentrations on the oxidation rate with H2O2. At low Fe(II) concentrations, below the stoichiometric ratio, the kinetic constants presented in Table 3, describe the experimental oxidation rates. However, when the concentration of [Fe(II)]o ⫽ 5 ⫻ 10⫺7 M and [H2O2]o ⫽ 2.75 ⫻ 10⫺7 M, the kinetic model predicts a lower rate for the oxidation of Fe(II). The presence of dissolved O2 at 17 M decreases the concentration of Fe(II) in the solution by 15% after 3 mins. when oxygen is not considered. When the O2 is considered the kinetic model agrees with the experimental data. The effect of temperature on the rates of oxidation of Fe(II) with H2O2 was also examined using the kinetic model. The hydrolysis constants, carbonate stability constants with Fe(II) and with the major ions at 10°C, are given in Table 4. The experimental data at 10°C as a function of pH and concentrations of total bicarbonate and the data at temperature of 3°, 20° and 35°C (Table 1) were used in the fitting procedure to compute the nine individual oxidation rate constants for each temperature. The computed values for these rate constants are given in Table 3. Figure 8 shows the model output for the oxidation of Fe(II) with H2O2 with different concentrations of HCO⫺ 3 and pH at 10°C. The contributions of the five kinetically active species at 10° and 25°C (Fig. 6) are shown in Figure 9. Our model predicts at 90 M. González-Davila, J. M. Santana-Casiano and F. J. Millero Table 4. Stability constants for the formation of Fe(II) and Fe(III) inorganic complexes considered for the kinetic model at 10°C. Species Log K (0.7 mol L⫺1, 10°C) Ref H2O N H⫹ ⫹ OH⫺ ⫹ CO2 ⫹ H2O N HCO⫺ 3 ⫹ H 2⫺ HCO⫺ ⫹ H⫹ 3 N CO3 Na⫹ ⫹ HCO⫺ 3 N NaHCO3 Na⫹ ⫹ CO2⫺ N NaCO⫺ 3 3 ⫹ Ca2⫹ ⫹ HCO⫺ 3 N CaHCO3 2⫹ 2⫺ Ca ⫹ CO3 N CaCO3 ⫹ Mg2⫹ ⫹ HCO⫺ 3 N MgHCO3 Mg2⫹ ⫹ CO2⫺ N MgCO 3 3 2 Mg2⫹ ⫹ CO2⫺ N Mg2(CO3)2⫹ 3 2⫹ ⫺ ⫹ Mg ⫹ OH N MgOH ⫹ Fe2⫹ ⫹ HCO⫺ 3 N FeHCO3 Fe2⫹ ⫹ CO2⫺ N FeCO 3 3 Fe2⫹ ⫹ 2 CO2⫺ N Fe(CO3)2 3 2⫹ 2⫺ ⫺ Fe ⫹ CO3 ⫹ OH N Fe(CO3)(OH)⫺ Fe2⫹ ⫹ H2O N Fe(OH)⫹ ⫹ H⫹ Fe2⫹ ⫹ 2 H2O N Fe(OH)2 ⫹ 2 H⫹ Fe2⫹ ⫹ Cl⫺ N FeCl⫹ Fe2⫹ ⫹ SO2⫺ N FeSO4 4 H⫹ ⫹ SO2⫺ N HSO⫺ 4 4 ⫺14.27 ⫺5.91 ⫺9.38 ⫺0.53 0.42 0.33 1.94 0.28 1.82 2.59 1.90 0.97 4.14 6.19 9.0 ⫺10.17 ⫺21.98 ⫺0.12 0.77 0.17 1 1 1 3 3 3 2 3 2 3 1 1 1 1 4 1 1 1 1 1 1. Millero and Pierrot, 2002. 2. Smith and Martell, 1976. 3. No significant effect was observed for these constants. 4 The same temperature coefficient as for Fe(CO3)2 ⫹ 10°C that the FeOH species is the most important one, which is in agreement with the first-order pH-dependence of the Fe(II) oxidation at this temperature (Eqn. 14 and 15). The FeCO3 species is the second most active species until pH 8 where the Fe(CO3)2⫺ contributes over 30% to the 2 overall rate constant. At this pH, carbonate species have a greater effect at 10°C than 25°C. This accounts for the larger effect of the addition of carbonate to the oxidation rates (Eqn. 15) at 10°C. The effects of temperature on the individual oxidation rate constants are shown in Figure 10. The values for the individual oxidation rate constants for the five Fig. 8. Experimental and predicted Fe(II) concentration as a function of pH in natural seawater ([NaHCO3]T ⫽ 2.05 mM) and with 2.0 mM NaHCO3 added at 10°C using the kinetic model and constants presented in Table 3 and Table 4. Fig. 9. Contribution of specific Fe(II) species in total Fe(II) oxidation rate by hydrogen peroxide in seawater (S ⫽ 36.244) and 10°C. most kinetically reactive species in seawater can be determined from ln kFe2⫹ ⫽ 38.0(⫾1.1) ⫺ 9529(⫾320)1 ⁄ T Ea ⫽ 79.2 ⫾ 2.7 kJ mol⫺1 (22) ln kFeOH⫹ ⫽ 24.20(⫾0.8) ⫺ 2757(⫾232)1 ⁄ T Ea ⫽ 22.9 ⫾ 1.9 kJ mol⫺1 (23) ln kFe(OH)2 ⫽ 44.4(⫾1.5) ⫺ 6658(⫾450)1 ⁄ T Ea ⫽ 55.4 ⫾ 3.7 kJ mol⫺1 (24) ln kFeCO3 ⫽ 33.2(⫾0.3) ⫺ 6757(⫾92)1 ⁄ T Ea ⫽ 56.2 ⫾ 0.8 kJ mol⫺1 (25) ⫽ 65.6(⫾1.2) ⫺ 14460(⫾337)1 ⁄ T ln kFe(CO3)2⫺ 2 Ea ⫽ 120.2 ⫾ 2.8 kJ mol⫺1 (26) Equations 22–26 give energies of activation from 22.9 ⫾ 1.9 kJ mol⫺1 to 120.2 ⫾ 2.8 kJ mol⫺1, respectively, for FeOH⫹ and Fig. 10. The effect of temperature for the most contributing Fe(II) species on the oxidation rate constants by H2O2, ki, in seawater at pHF ⫽ 8.17. Oxidation of Fe(II) by H2O2 Table 5. Comparison of experimental Fe(II)-H2O2 oxidation rate constants at nanomolar level in pure water with added NaHCO3 (King and Farlow, 2000) with values determined by two different kinetic models. pH mM [NaHCO3] (M⫺1 s⫺1) Exp. log k Model log k King and Farlow (2000) Model log k This work 5.20 6.00 6.98 6.97 2.0 3.0 2.0 7.0 3.06 3.61 4.26 4.48 3.00 3.51 4.15 4.49 3.07 3.57 4.25 4.49 Fe(CO3)2⫺ 2 . The values of log kFeCl, log kFeSO4, log kFeHCO3 and log kFe(CO3)OH, from our model are lower than 1.5 (ki in M⫺1 min⫺1) and do not contribute to the overall oxidation rate under the experimental conditions of this study. The values for the individual kinetic oxidation rates determined using Equations 22–26 and estimates of the fraction of each Fe(II) species following Eqn. 21 agree with the experimental values on the average to 3% as can be observed in Figure 8. Individual oxidation rates are expected to vary as a function of the ionic strength (King, 1998). To apply our model to natural waters at different ionic strengths, Eqn. 16 was assumed to be valid to describe the ionic strength dependence for all of the individual oxidation rates in Table 3. The resulting oxidation rates together with equilibrium constants valid at I ⫽ 0 (King, 1998) were used to compute the Fe(II) oxidation rate in the presence of different NaHCO3 concentrations in the pH range 5 to 7. The experimental and model values determined by King and Farlow (2000) were compared with our model output using the individual oxidation rate constants shown in Table 3 (Table 5). The excellent agreement between experimental values and our model output makes our oxidation rate constants for the individual Fe(II) species applicable to both seawater and pure water with different concentrations of bicarbonate and using the ionic strength dependence shown in Eqn. 16. Results from this study have been compared with the calculated oxidation rate determined by Millero and Sotolongo (1989) in seawater at 25°C and micromolar levels of Fe(II) in Figure 11. Our rates are slightly lower than the values determined by these authors. However, if we consider the results from Millero and Sotolongo (1989) at micromolar levels with a 2:1 Fe(II):H2O2 stoichiometry ratio (Eqn. 18 and 19), the overall rate constants presented in Table 2 from their work, kMS, should be equal to kMS ⫽ 2 · k following Eqn. 20 and 21. When this adjustment is made both results are in excellent agreement. Figure 11 shows the predicted overall rate constant from our model in the range of pH 6 to 8.2 determined according to Eqn. 21. The predicted rates fit the overall rate constants computed from experimental pseudofirst order oxidation rate at pH lower than 7.5. At pH higher than 7.5, as was observed in the pseudofirst order data treatment, deviations occur between measured and predicted rate constants. When the experimental data were treated as a pseudosecond order rate constant for a pH higher than 7.5 (Fig. 11), the results are in good agreement. This finding is in accordance with the contribution computed from our model for the different species to the overall rate constant (Fig. 6 at 25°C and Fig. 9 at 10°C) and indicates that the 91 Fe(OH)2 and Fe(CO3)2⫺ species are important at the pH 2 range above 7.5 and trace amounts of oxygen also contributes to the process. Figure 11 also shows the predicted rates using the pure water model of King and Farlow (2000). The effect of ionic strength on the Fe(II)-H2O2 (Millero et al., 1991, and in this work) and Fe(II)-O2 (King, 1998) oxidation rates have been previously described. If we assume the same ionic strength dependence for the Fe(II)-H2O2 oxidation rates (Eqn. 16) to be applicable to the individual oxidation rates presented by King and Farlow (2000) in pure water solutions and taking into account also the corrections for the media composition on the speciation of Fe(II), their model predictions are not consistent with the experimental rate measurements. Although King and Farlow (2000) used their set of constants to describe the oxidation of Fe(II) with H2O2 in pure water at nanomolar Fe(II) concentrations and high concentrations of NaCl and NaClO4, they did not make corrections for the changes in the ionic strength. Our set of constants determined in seawater considers the effects of changes in the media and the interactions affecting the speciation of Fe(II) with carbonate and hydroxide ions. The effects due to changes in the ionic strength are also considered to compare experimental data with model output for pure water with different carbonate concentrations (Table 5). The discrepancies between kinetic data from both models can be ascribed to the role of the carbonate complex FeCO3 over the hydroxide complex FeOH⫹ in the King and Farlow model. The parallel behavior presented by both species in the speciation diagram (also applicable to Fe(OH)2 and Fe(CO3)2⫺ species) as a function of pH (Fig. 3) together 2 with the interactions between both ligands with major ions in solutions makes the set of constants presented in this work applicable over a larger range of experimental conditions. 5. CONCLUSIONS The results obtained in this study have important implications for the redox chemistry of iron in the marine envi- Fig. 11. Comparison of published oxidation rates in seawater by H2O2 at 25°C by Millero and Sotolongo (1989) and this work considering first order pH dependence and second order pH dependence (pH ⬎7.5). Model predictions for oxidation rate constants of Fe(II) by H2O2 as a function of pH following King and Farlow (2000) corrected for ionic strength effects (Eqn. 16) and media composition. Our model rate constants in seawater and 25°C (Table 3) are also included. 92 M. González-Davila, J. M. Santana-Casiano and F. J. Millero ronment. In seawater, the oxidation rate of nanomolar Fe(II) with H2O2 is a function of pH, temperature and the concentration of HCO⫺ 3 and H 2O 2. The oxidation rate constants determined for the different Fe(II) species allow us to estimate the relative importance of each species and the competitive effect between the reaction with H2O2 and O2. FeOH⫹ is the most important iron species controlling the Fe(II) oxidation with H2O2 in the pH range of natural seawater systems. At a pH higher than 8, the Fe(OH)2 and Fe(CO3)2⫺ species contribute over 20% to the rates. Our 2 model predicts that at 10°C the FeOH⫹ species is the more important than FeCO3 species below pH 8. Above a pH of 8 Fe(CO3)2⫺ species contributes over 30% to the overall rate 2 constant. At 25°C and pH 8 the carbonate species are at a higher contribution, resulting in the greater effect of added carbonate to the oxidation rates. The results from this study indicate that the oxidation rate of nanomolar Fe(II) is predicted with a kinetic model taking into account both the speciation of Fe(II) as a function of pH, carbonate concentration and the ionic interactions between the major cations in seawater and the carbonate species. When these interactions are removed and ionic strength effects are considered, our model is found to be applicable to pure water solutions. Acknowledgments—We thank C. Moore for her advice on H2O2 analysis and for her helpful suggestions. 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