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Effects of Fulvic Acid on Uranium(VI) Sorption Kinetics Ruth Maria Tinnacher, Peter Silvio Nico, James A. Davis, and Bruce D. Honeyman Environ. Sci. Technol., Just Accepted Manuscript • DOI: 10.1021/es304677c • Publication Date (Web): 03 Apr 2013 Downloaded from http://pubs.acs.org on April 22, 2013
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Environmental Science & Technology
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Effects of Fulvic Acid on Uranium(VI)
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Sorption Kinetics
3 Ruth M. Tinnacher1,2,*, Peter S. Nico2, James A. Davis2, Bruce D. Honeyman1
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Department of Civil and Environmental Engineering, Colorado School of Mines,
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Golden, CO 80401, USA 2
Earth Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720
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*)
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Corresponding author: Current contact information: Earth Sciences Division, Lawrence Berkeley National Laboratory 1 Cyclotron Rd., MS 74R0120 Berkeley, CA 94720 Phone: (510) 495 8231 Fax: (510) 486 5686 Email:
[email protected] 16 17
KEYWORDS
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Uranium, fulvic acid, natural organic matter, sorption, adsorption, kinetics
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ABSTRACT
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This study focuses on the effects of fulvic acid (FA) on uranium(VI) sorption kinetics to a silica
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sand. Using a tritium-labeled FA in batch experiments made it possible to investigate sorption
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rates over a wide range of environmentally-relevant FA concentrations (0.37-23 mg l-1 TOC).
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Equilibrium speciation calculations were coupled with an evaluation of U(VI) and FA sorption
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rates based on characteristic times. This allowed us to suggest plausible sorption mechanisms as
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a function of solution conditions (e.g., pH, U(VI)/FA/surface site ratios). Our results indicate
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that U(VI) sorption onto silica sand can be either slower or faster in the presence of FA
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compared to a ligand-free system. This suggests a shift in the underlying mechanisms of FA
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effects on U(VI) sorption, from competitive sorption to influences of U(VI)-FA complexes, in
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the same system. Changes in metal sorption rates depend on the relative concentrations of
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metals, organic ligands and mineral surface sites. Hence, these results elucidate the sometimes
32
conflicting information in the literature about the influence of organic matter on metal sorption
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rates. Furthermore, they provide guidance for the selection of appropriate sorption equilibration
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times for experiments that are designed to determine metal distribution coefficients (Kd values)
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under equilibrium conditions. Characteristic time for U(VI) sorption [hr]
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Slower uranium sorption kinetics
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Faster uranium sorption kinetics
30 20 10 0
Data-based Model-based
Fulvic acid concentration [M]
TOC Art
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INTRODUCTION
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Numerous studies have demonstrated the influence of Natural Organic Matter (NOM) on metal
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sorption behavior onto minerals. In comparison, little is known about NOM effects on metal
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sorption kinetics, despite the fact that these effects can be relevant for the following reasons.
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First, lab-studies are often designed with the objective of determining metal sorption
45
parameters in the presence and absence of NOM under equilibrium conditions.
If NOM
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influences metal sorption rates, then equilibrium time-frames selected for binary metal-mineral
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systems may not be sufficiently long to attain sorption equilibria in ternary systems. Besides
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other scale-dependent differences, this may further lead to errors in contaminant transport
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models, e.g. if lab-based metal distribution coefficients (Kd values) are used to evaluate NOM
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effects on contaminant mobility.
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Second, under advective flow conditions, e.g., in laboratory-scale advective column studies1-3
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and dynamic flow-systems in the field4, local contact times between metal contaminants and bulk
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mineral phases may often be too short to attain full sorption equilibria. Hence, in the presence of
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NOM, kinetic metal transport models may also need to include potential organic matter effects
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on metal sorption kinetics. In fact, in kinetically-limited systems apparent NOM effects on metal
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sorption may be due to a combination of different (equilibrium) metal sorption affinities and
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changing metal sorption rates.
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Third, an understanding of the underlying mechanisms of sorption processes is important for
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the development of defensible, kinetically-based transport models, especially in systems where
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metal/NOM concentration ratios are changing over time and space. It is well known that overall
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reaction rates change if the series of elemental reactions comprising a reaction pathway has been
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altered5. Hence, kinetic studies provide a simple, experimental tool to identify potential shifts in
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metal sorption mechanisms based on the observation of varying sorption rates, e.g., as a function
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of organic ligand concentrations.
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Overall, NOM effects on metal sorption behavior have been ascribed to a variety of underlying
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processes, including (1) metal-ligand solution complexation combined with different sorption
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affinities of the resulting complexes compared to ‘free’ metals in solution6, 7, and (2) NOM
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sorption onto minerals leading to competitive sorption behavior8,
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surface characteristics10. Hence, organic matter may change both aqueous and sorbed metal
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speciation, and thus affect the underlying pathways and rates of metal sorption reactions in the
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following ways.
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and/or changes in mineral
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First, metal-ligand dissociation reactions occurring prior to the sorption of ‘free’ metal ions
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may slow down overall metal sorption kinetics11, 12. Second, NOM sorption onto the mineral
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surface may lead to a competition between metals and organic ligands for the same reactive
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surface sites, potentially decreasing metal sorption rates based on mass action principles. Last,
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the sorption kinetics of metal-NOM solution complexes may be regulated by rates of NOM
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surface reactions. In this case, possibly rate-limiting steps during NOM sorption reactions could
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include NOM diffusion to mineral surface sites, steric rearrangements on the surface13, and
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different NOM sorption rates for various ligand sizes14, 15. In contrast, faster sorption rates may
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be possible in case of multi-layer sorption of organics.
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With respect to uranium(VI), natural organic matter, such as fulvic acid, may complex U(VI)
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in solution16,
17
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natural waters18, which affects U(VI) sorption19, 20 and mobility both on the lab and field scale21,
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, and dominate U(VI) speciation in the acidic to circum-neutral pH range in
. At this point, systematic studies on organic matter effects on radionuclide sorption kinetics
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are still quite limited. Results from previous studies focusing on U(VI) sorption kinetics onto
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Savannah River Site sediments23 and montmorillonite24 suggest faster U(VI) sorption rates in the
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presence of humic acid, while europium(III) sorption onto quartz sand has been reported to be
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slower25. Based on these ‘apparent discrepancies’, we believe that changes in U(VI) sorption
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rates may be highly dependent on chemical solution conditions, metal and organic ligand
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speciation, mineral surface characteristics, and the relative concentrations of metals, organic
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ligands and mineral surface sites. Hence, further research is needed to systematically evaluate
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NOM effects on U(VI) sorption kinetics.
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In this study, we investigate the effects of fulvic acid (FA) on uranium(VI) sorption kinetics at
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various ratios of metal/organic ligand concentrations with the goal to qualitatively assess the
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mechanisms of U(VI) sorption in ternary systems.
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sorption experiments in order to characterize uranium(VI) and FA sorption onto a pretreated
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silica sand over a range of pH conditions and FA concentrations, either at specific sorption
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equilibration times (batch sorption envelope experiments) or as a function of time (batch sorption
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kinetic experiments). Potential changes in U(VI) or FA sorption kinetics were determined based
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on the calculation of characteristic times for overall sorption reactions. The relevance of U(VI)-
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FA solution complexes under various experimental conditions was evaluated by simulating
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U(VI) speciation based on existing thermodynamic data.
For this purpose, we performed batch
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We specifically selected a natural organic matter fraction (fulvic acid) and a mineral phase
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(pretreated silica sand) that would allow us to create experimental systems with tractable
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complexity. This approach provided us with the best chance to achieve our goal of improving
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conceptual models of NOM effects on U(VI) sorption kinetics. However, more complex and
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natural systems should be investigated in the future, with a particular focus on the role of
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competing ions, such as calcium, magnesium and sulfate, which may limit the impacts of NOM
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on radionuclide mobility26-28.
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MATERIALS AND METHODS
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Uranium, Fulvic Acid and Silica Sand
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Uranium(VI) solutions contained natural uranium (99.28 % U-238, 1 mg ml-1 U ICP-Standard,
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Anderson Laboratories) and a uranium-233 tracer (4 µCi ml-1 UO2(NO3)2, Isotope Products
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Laboratory) , which was
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TR 2500/TR 1600 Liquid Scintillation Analyzers).
quantified by liquid scintillation counting (Packard Instruments
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A standardized form of fulvic acid, Suwannee River fulvic acid (FA) reference (International
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Humic Substances Society, Cat. No. 1R101F-1), was used in order to ensure the reproducibility
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and comparability of experimental results (for FA characteristics, see Table S1, Supporting
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Information, and the literature29).
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scintillation counting of a tritium-labeled fulvic acid tracer (1.9 mCi mg-1 FA, detection limit: 0.3
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µg l-1 FA)30. No significant differences in FA sorption behavior between the original and
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radiolabeled form of FA were found in previous testings with hematite30.
Fulvic acid concentrations were determined by liquid
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Commercially available silica sand (Q-ROK #1 Ground Silica, U.S. Silica) was selected as the
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mineral phase and pretreated31, 32 (for details, see Supporting Information) to produce a uniform,
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well-mixed mineral phase of known particle size range, low organic carbon content, and with a
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minimum potential for the release of mineral colloids in later experiments (average particle size:
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418 ± 40 µm; geometrically-estimated specific surface area: 54 cm2 g-1; total reactive surface site
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concentration (assuming spherical particles and 5 sites nm-2)33: 4.5 × 10-8 mol g-1; pHpzc = 6.3).
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A characterization of mineral abundances on the surface based on QEMSCAN/EDX analysis
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indicated the presence of a total of 0.2% of surface impurities, including kaolinite, muscovite,
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Fe-oxides, K-feldspar, and rutile/anatase (Table S2, Supporting Information).
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Batch Sorption Envelope Experiments
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All experiments were performed at room temperature and open to the atmosphere. In batch
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sorption envelope experiments, pretreated silica sand and aliquots of UV-water (Barnstead
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EASYpure UV compact ultrapure water system) and 1 M NaCl solution were transferred into 20
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ml polyethylene liquid scintillation vials to give 200 or 400 g l-1 solid in 10 ml final sample
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volume with a total ionic strength of 0.01 M NaCl (or NaCl/NaHCO3 for target pH > 7.0).
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Solution pH values were adjusted with small volumes of 0.1, 0.01, 0.001 M HCl or NaOH
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solutions, and samples pre-equilibrated under shaking over 12 to 24 hours (TITER shaking
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table). Then, uranium and/or fulvic acid solutions were added individually, without any prior
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metal-NOM pre-complexation. After pH re-adjustments, sorption equilibration was allowed
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during shaking in the dark over 48 (binary U(VI)-silica sand systems) or 72 hours (any system
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containing FA) to allow for a comparison of results with literature data19, 34. Afterwards, final
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solution pH values were recorded and fractions of supernatant solutions collected, without any
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further filtration or centrifugation, for the analysis of remaining solute concentrations.
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Uranium(VI) and/or FA wall sorption effects were corrected by washing sample vials with acid
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or base solutions (0.12 M HCl for any U(VI) systems; 0.1 M NaOH for binary FA-sand
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systems); experimental standards were included to represent 100 % of U(VI) and/or FA
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concentrations in mineral-free solutions.
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Batch Sorption Kinetic Experiments
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In kinetic experiments, silica sand and aliquots of UV-water, 1 M NaCl solution, and NaHCO3
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buffer (for pH >7.0), were transferred into autoclaved Nalgene bottles to give the desired sample
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composition in the final sample volume (ITot=0.01 M, VTot=250 ml, 200 g l-1 silica sand).
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Solution pH values were adjusted to pH=7 or pH=8, and solutions allowed to equilibrate with
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mineral surfaces and atmospheric CO2 overnight. After pH re-adjustments on the next day, an
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aliquot of each electrolyte solution in contact with the mineral phase (20 ml) was transferred into
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a 50 ml polycarbonate vial. Solute(s) of interest was/were added to this small vial individually,
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and the pH value re-adjusted. Then, the content of each 50 ml polycarbonate vial was rapidly
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transferred to the corresponding Nalgene bottle. Immediately afterwards, solution fractions were
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sampled, without further filtration or centrifugation, in order to determine exact initial solute
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concentrations at time zero. Closed sample vials were then set up on the shaking table to allow
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for sorption equilibration while minimizing evaporation losses.
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At time-points shown in Fig. 5, shaking was interrupted for scheduled sampling events
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(without filtration/centrifugation) and pH control/re-adjustments. Both inherently lead to slight
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changes in solid-liquid ratios over time. In order to minimize this effect to ≤10%, the largest
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feasible sample volume (250 ml) was combined with the smallest possible supernatant fractions
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(1 ml). No wall sorption correction was performed, since the mineral surface area largely
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exceeds the container surface area in this setup.
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Calculation of Characteristic Times
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For the interpretation of experimental kinetic data, our goal was to determine differences (or
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similarities) between sorption rates in systems with varying FA concentrations based on an
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objective mathematical parameter, namely the characteristic time for overall sorption reactions.
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It was not our goal to develop a model with predictive capabilities or to find the best model fits.
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Characteristic time ( t1/ 2 ) is defined as the time needed to reach a specific fraction of the final
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equilibrium concentration, e.g., 50% for pseudo-first order reversible sorption kinetics5,
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Generally, long characteristic times (large t1/ 2 values) indicate slow sorption kinetics; short
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characteristic times (small t1/ 2 values) represent fast kinetics. Systems with the same sorption
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kinetics show the same fraction of the equilibrium surface concentration sorbed at any given
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point in time, independent of the individual equilibrium values approached. Hence, comparable
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values of t1/ 2 indicate similar sorption kinetics.
.
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In this study, characteristic times for U(VI) and FA sorption reactions were determined in two
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ways, a data-based estimation method and a model-based calculation using fitted rate constants.
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The data-based approach has the primary advantage that, unlike any kinetic model, it does not
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require any a priori assumptions regarding the order or mechanism of sorption reactions. Invalid
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modeling assumptions may potentially lead to misleading conclusions. However, since only a
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few data points are used in this estimation, experimental errors may negatively affect the
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comparison of data-based t1/ 2 values, especially if kinetic differences are small. Therefore, we
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also applied a model-based calculation, which involves kinetic rate constants determined by
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fitting all experimental time-points of a kinetic experiment.
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First, in the data-based estimation, we calculated the fractions of U(VI) and FA equilibrium
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surface concentrations reached over time while assuming that the last experimental time-points
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represent equilibrium surface concentrations.
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concentration of 3.64 × 10-10 mol U(VI) gSolid-1 (10-7 M U(VI)Total, 200 g/l silica sand, pH=7),
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1.99 × 10-10 mol U(VI) gSolid-1 represent 54.6% of the equilibrium surface concentration, and the
For example, for an equilibrium surface
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time needed to reach this concentration is slightly longer than t1/ 2 . After plotting these fractions
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as a function of time (Fig. 6), the system-specific values of t1/ 2 were determined based on a
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linear regression between the two data points ‘bracketing’ the 50% fraction of the equilibrium
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surface concentration, e.g., 34.2% and 54.6%.
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For the model-based calculations (for details, see Supporting Information), we tested various
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rate expressions36, and selected pseudo-first order reversible sorption kinetics, as total surface
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site coverages were expected to be low in kinetic sorption experiments under most chemical
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conditions. Furthermore, the relative simplicity of their mathematical expressions37 provides a
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direct and objective approach to compute characteristic times, which is not equally possible for
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higher order models. In addition, this rate law allows us to include the reversibility of surface
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reactions, which is necessary for a characterization of long-term sorption behavior with time-
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points close to or at apparent equilibrium.
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Using U(VI) as example, and assuming a large excess of reactive surface sites, the change in U(VI) solution concentration over time (t) due to U(VI) sorption reactions is described by
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d [U ] = −k 'f [U ] + kr [≡ SU ] dt
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where [U] and [≡ SU] represent concentrations of U(VI) in solution and on the surface
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respectively (all in mol l-1), and the variables kf’ (hr-1) and kr (hr-1) are the forward and reverse
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rate constants for pseudo-first order sorption kinetics. Fitted rate constants (Mathematica 7.0)
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are then used to calculate t1/ 2 for overall sorption reactions under various chemical conditions
t1/ 2 = 219
ln 2 k + kr ' f
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whereas the expression (k 'f + k r ) represents the ‘natural’ rate at which sorption equilibrium is
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approached35.
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Chemical Speciation Modeling
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Speciation models were set up in HYDRAQL38. Uranium(VI) complexation with inorganic
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ligands was based on thermodynamic data from the NEA database39 (Table S3, Supporting
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Information). Fulvic acid was simulated as a suite of discrete, monoprotic ligands with set acid
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dissociation constants (pKa=2, 4, 6, 8, 10) following the approach by Westall et al.40. Individual
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concentrations of monoprotic ligands as well as U(VI)-fulvic acid complexation reactions and
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constants (Table S3, Supporting Information) were adopted from a previous study using the same
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type of fulvic acid17, 41. Effects of different ionic strengths used in complexation and sorption
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experiments on complexation constants were corrected mathematically. However, as U(VI)-FA
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complexation constants were determined under fairly acidic conditions (pH=4 and 5), and pH
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conditions in kinetic experiments were slightly higher (pH=7 and 8), the presented speciation
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diagrams should be regarded as qualitative rather than quantitative results.
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RESULTS
237 238
Batch Sorption Envelope Experiments
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U(VI) Batch Sorption Envelopes
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Uranium(VI) sorption onto silica sand is characterized by low sorption at low and high pH
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conditions, and a maximum at around pH 6-6.5 (Fig. 1). At low pH, U(VI) sorption is limited
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due to competition with protons for surface sites15. At high pH, low uranium sorption is
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attributed to increasing carbonate concentrations leading to competing carbonato species and/or
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weakly or non-sorbing uranium-carbonato complexes42, 43 (Fig. S1, Supporting Information).
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In this study, decreasing solid-liquid ratios cause a ‘shrinking’ of uranium sorption envelopes
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indicating surface site limitations and/or a distribution of surface site types. All experimental
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systems except one (10-5 M U(VI)Tot, 200 g l-1 sand) are estimated to provide an excess of total
249
surface site concentrations.
250
Information) suggest 0.2% of surface impurities, which could result in a limited number of high-
251
affinity sites on other minerals besides a large excess of weakly-sorbing silanol sites.
However, QEMSCAN/EDX data (Table S2, Supporting
252 253
Fulvic Acid Batch Sorption Envelopes
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Results from binary fulvic acid sorption experiments indicate a ligand-like sorption behavior
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with lower FA sorption at increasing pH (Fig. 2). Larger fractions of FA are sorbed at lower
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total organic ligand concentrations, indicating a fractionation of the FA mixture during
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sorption14, 44, a limitation in surface sites and/or a distribution of surface site types.
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Despite the fairly small FA fractions sorbed, a large number of surface sites may still become
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occupied with organic ligands over the tested concentration range (6.15 × 10-8-6.15 × 10-5 M FA,
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0.02-23 mg l-1 TOC). Under acidic conditions, FA sorption isotherms suggest a saturation of
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total sites at 23 mg l-1 TOC (Figs. S2 and S3, Supporting Information), while strong surface sites
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may become saturated far below this concentration. Assuming FA sorption in the form of
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monoprotic ligands (6.22 mM ligands g-1 FA19,
264
comprised of surface impurities these sites could be fully occupied by FA at most conditions
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tested (exceptions: 6.15 × 10-5 M and 6.15 × 10-8 M FA at pH~9). Hence, FA sorption onto silica
41
) and a fraction of 0.2% of strong sites
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sand may limit the availability of strong sites for U(VI) sorption reactions, even at very low FA
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concentrations (6.15 × 10-8 M FA; 23 µg l-1 TOC).
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U(VI)-Fulvic Acid Batch Sorption Envelopes
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For all FA concentrations tested, the presence of organic ligands causes a decrease in U(VI)
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sorption within a pH range from 5.5-7.0 (Fig. 3). However, results from speciation modeling
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suggest that the presence of U(VI)-FA complexes is fairly limited in these systems, e.g., with
273
≤4.74% of U(VI) complexed with organic ligands at pH=7 (Fig. 4). Hence, FA effects on U(VI)
274
sorption are probably due to a competition between ‘free’ metals and organic ligands for mineral
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surface sites. This hypothesis is further supported by the strong decrease in U(VI) sorption
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observed at 10-5 M FA compared to lower FA concentrations, and by calculations of total surface
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site coverages. Using a specific site concentration of 4.5 × 10-8 mol g-1, U(VI) site coverage
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decreases from 0.9% to 0.7% and 0.2% at zero, 10-6 M and 10-5 M FA, respectively. In contrast,
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FA site coverage increases from 5.1% (10-6 M FA) to 53.4% (10-5 M FA) based on binary FA
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sorption data. Hence, the surface site limitations indicated for U(VI) sorption in binary systems
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(Fig. 1) are further enhanced in the presence of FA. Overall, in mineral systems, which are
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characterized by a distribution of surface site types and/or surface site limitations, FA has the
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potential to decrease U(VI) sorption and increase U(VI) mobility even at very low FA
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concentrations (6.15 × 10-8 M FA, 23 µg l-1 TOC).
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Batch Sorption Kinetic Experiments and Modeling
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U(VI) and FA Sorption Kinetics and Solution Speciation at pH=7
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In the absence of FA, U(VI) sorption to silica sand is characterized by a fast initial uptake
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followed by slower sorption processes (Fig. 5), a behavior that is typical for many metal-mineral
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systems45.
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complexation reactions, which can be affected by metal-ligand dissociation reactions12, 46, the
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breakage of surface chemical bonds and the removal of products from the near-surface
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environment47. The slower sorption step has been ascribed to a distribution of reactive surface
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sites, surface precipitation and/or other processes controlled by mass transfer limitations37, 47-49.
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Considering the results from binary batch sorption envelope experiments, we believe that a
298
distribution of strong and weak surface sites is likely the reason for the observed kinetics.
The fast initial uptake is often attributed to the chemical kinetics of surface
299
In ternary systems at pH=7 (Figs. 5a and 5b), experimental data suggest an influence of FA on
300
U(VI) sorption kinetics. For example, U(VI) sorption reactions equilibrate more slowly in the
301
ligand-free system than in the presence of 6.15 × 10-5 M FA (23 mg l-1 TOC). The U(VI)
302
fraction sorbed increases from 79.6% to 90.2% between day 4 and 29 in the binary system, while
303
it remains stable at 6.15 × 10-5 M FA (7.6% and 7.2%). Fulvic acid sorption kinetics in binary
304
and ternary systems appear concentration-dependent, with higher organic ligand concentrations
305
leading to faster sorption equilibration (Figs. 5c and 5d). The presence of U(VI) does not have
306
any apparent effects on FA sorption kinetics in ternary systems.
307
Based on a comparison (Fig. 5a versus 5b, and Fig. 5c versus 5d), sorption data from short-
308
term experiments, performed over a few days, cannot capture slow U(VI) or FA kinetics, which
309
become apparent only over extended time-frames. Hence, the interpretation of short-term kinetic
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data may potentially cause an underestimation of time-frames required for complete sorption
311
equilibration.
312
Results from characteristic time calculations combined with chemical speciation modeling
313
allow for additional data interpretation (Figs. 4, 6, 7; Table S4, Supporting Information). For t1/ 2
314
computations, absolute values of characteristic times differ only slightly between the data-based
315
and model-based calculation methods (Fig. 7). The trends observed for characteristic time
316
changes as a function of FA concentrations are the same. Hence, the two methods of data
317
interpretation confirm each other, and the underlying assumptions of the kinetic model have no
318
effect on the interpretation of kinetic differences between these systems. For all model-fitted
319
parameters, the statistical analyses of differences in kinetic parameters are based on standard t-
320
tests with a 90% significance level.
321
For FA sorption to silica, characteristic time calculations clearly confirm a concentration-
322
dependence of FA sorption kinetics (Fig. 7); a significant decrease in FA characteristic times is
323
observed with increasing FA concentrations.
324
fractionation of the FA mixture due to FA surface reactions over time14, 44, 50, 51. Furthermore,
325
these calculations also confirm that U(VI) has no effect on FA sorption kinetics in ternary
326
systems. Model-based characteristic times for FA sorption (Fig. 7) are the same at any tested FA
327
concentration in the presence and absence of U(VI) (90% significance level). In these systems,
328
U-FA solution complexes represent only very small fractions of total FA solution species. For
329
instance, at 10-6 M FA, U(VI)-ligand complexes contribute ~0.008% to all FA species; at higher
330
FA concentrations, this fraction will be even smaller (Fig. S4, Supporting Information).
This could indicate multi-layer sorption or a
331
For U(VI) sorption to silica sand, characteristic time calculations indicate varying effects of
332
FA on U(VI) sorption kinetics. First, in the presence of the two lower, total FA concentrations,
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333
characteristic times for U(VI) sorption to silica are significantly increased relative to the
334
corresponding U(VI)-silica system (Fig. 7). The model-based characteristic time for U(VI)
335
sorption is 23.42 hours in the absence of FA, but 34.47 and 46.84 hours at 10-6 and 10-5 M FA
336
(0.37 and 3.7 mg l-1 TOC), respectively. Therefore, U(VI) sorption is slowed down in the
337
presence of low organic ligand concentrations. In these ternary systems, uranium(VI) speciation
338
is primarily controlled by (mixed) carbonato and hydroxide species while U(VI)-FA complexes
339
can be neglected (0.32 and 4.74% of total U(VI) species, Fig. 4).
340
In contrast, at the highest FA concentration tested (6.15 × 10-5 M FA, 23 mg l-1 TOC) a
341
significant decrease in the characteristic time for U(VI) sorption (4.74 hours) is observed relative
342
to the binary system (Fig. 7). Hence, at this high organic ligand concentration, U(VI) sorption
343
kinetics are significantly faster, and a substantial fraction of U(VI) solution species is found in
344
the form of metal-ligand complexes (53.94%; Fig. 4). Furthermore, in this system, characteristic
345
times, and hence the kinetics, for U(VI) and FA sorption reactions, are the same (90%
346
significance level).
347
In summary, at pH=7 the presence of fulvic acid can either accelerate or slow down U(VI)
348
sorption reactions to the same, heterogeneous silica surface compared to a ligand-free system.
349
The change in metal sorption rates depends on metal solution speciation and the relative
350
concentrations of metals, organic ligands and mineral surface sites. This suggests a change in
351
the pathways of metal sorption reactions, as well as in the underlying mechanisms of FA effects
352
on metal sorption behavior.
353 354
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U(VI) and FA Sorption Kinetics and Solution Speciation at pH=8
356
Effects of FA on U(VI) sorption kinetics at pH=8 were interpreted using the same approach as
357
for pH=7 systems. At pH=8, the presence of low FA concentrations (10-6 and 10-5 M FA, 0.37
358
and 3.7 mg l-1 TOC) results in slower U(VI) sorption kinetics, while the formation of U(VI)-FA
359
solution complexes can be neglected (Tables S5 and S6 and Figs. S5-S8, Supporting
360
Information). (A FA concentration of 6.15 × 10-5 M was not tested at pH=8.) Hence, these
361
results confirm the trends observed for pH-7-systems at the two lower FA concentrations.
362 363
DISCUSSION
364 365
At this point, multiple interpretations of FA effects on U(VI) sorption kinetics are possible,
366
including: 1) rate-limiting dissociation reactions of metal-ligand solution complexes prior to the
367
sorption of ‘free’ metals, 2) competitive sorption reactions leading to a lower ‘effective’ surface
368
site concentration available for metal reactions, and 3) NOM sorption kinetics driving metal
369
sorption rates in the form of metal-ligand solution complexes. The first two mechanisms are
370
expected to lead to slower metal sorption kinetics; the last one to either faster or slower kinetics
371
depending on NOM sorption rates.
372
The observed decrease in U(VI) sorption rates at low FA concentrations may be attributed to
373
rate-limiting metal-ligand dissociation reactions or competitive sorption behavior.
374
strong evidence from previous experimental and modeling studies for the relevance of rate-
375
limiting dissociation reactions1, 2, 11, 52-55. However, these studies typically involve higher organic
376
ligand concentrations and a pre-equilibration of mineral phases with organic matter, which could
377
limit competitive sorption reactions later in the experiment. In addition, the largest rate-limiting
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378
effects of dissociation reactions would be expected at the highest FA concentration (6.15 × 10-5
379
M, pH=7), with a high concentration of U(VI)-FA solution complexes in the form of ‘non-labile’
380
complexes55, characterized by slow dissociation reactions. However, in this case, U(VI) sorption
381
rates are faster than in the U(VI)-silica system, and mathematically the same as for FA.
382
Hence, at this point, a competition of metals and organic ligands for a limited number of strong
383
sites, present in the form of surface impurities, seems a more likely hypothesis for slower U(VI)
384
sorption rates at low concentrations of FA and U(VI)-FA solution complexes. FA binding to
385
these sites reduces the effective site concentration available for U(VI) surface reactions, which
386
results in slower, overall U(VI) sorption based on mass action principles. In contrast, at the
387
highest FA concentration, U(VI) sorption kinetics appear to be directly affected by FA sorption
388
rates. This could further indicate the formation of ternary U(VI)-FA surface complexes, either
389
by direct sorption of U(VI)-FA solution complexes, or by U(VI) binding to a rapidly-forming
390
organic surface coating.
391
Independent of the underlying processes, the selection of appropriate time-frames for
392
‘equilibrium’ sorption experiments is important, especially if distribution coefficients (Kd values)
393
are used to quantify relative differences in metal sorption due to the presence of organic
394
ligands56. For example, the apparent U(VI) Kd value can either decrease by a factor of 44 or a
395
factor of 94 in the presence of 6.15 × 10-5 M FA, depending on a 3-day or a 34-day experiment.
396 397
ACKNOWLEDGEMENTS
398
The authors thank Manfred Geier for help with kinetic modeling, Emily Lesher for facilitating
399
QEMSCAN/EDX surface analysis, and LLNL for providing Mathematica 7.0. Funding provided
400
by the National Science Foundation, the Austrian Academy of Sciences, the U.S. DOE NABIR
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Program, and in part by the U.S. DOE Subsurface Biogeochemical Research program’s
402
Sustainable Systems Science Focus Area at Lawrence Berkeley National Laboratory (Contract
403
No. DE-AC02-05CH11231).
404 405
Supporting Information Available. This information is available free of charge via the Internet
406
at http://pubs.acs.org.
407
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Schussler, W.; Artinger, R.; Kim, J. I.; Bryan, N. D.; Griffin, D., Numerical modeling of humic colloid borne Americium(III) migration in column experiments using the transport/speciation code K1D and the KICAM model. J. Contam. Hydrol. 2001, 47, (2-4), 311-322. Artinger, R.; Rabung, T.; Kim, J. I.; Sachs, S.; Schmeide, K.; Heise, K. H.; Bernhard, G.; Nitsche, H., Humic colloid-borne migration of uranium in sand columns. J. Contam. Hydrol. 2002, 58, (1-2), 1-12. Gabriel, U.; Gaudet, J. P.; Spadini, L.; Charlet, L., Reactive transport of uranyl in a goethite column: an experimental and modelling study. Chem. Geol. 1998, 151, (1-4), 107-128. Steefel, C. I., Geochemical kinetics and transport. In Kinetics of Water–Rock Interaction, Brantley, S. L.; Kubicki, J. D.; White, A. F., Eds. Springer: New York, 2008. Stone, A. T.; Morgan, J. J., Kinetics of chemical transformations in the environment. In Aquatic chemical kinetics: reaction rates of processes in natural waters, Stumm, W., Ed. John Wiley & Sons, Inc.: New York, 1990; pp 1-41. Christl, I.; Kretzschmar, R., Interaction of copper and fulvic acid at the hematite-water interface. Geochim. Cosmochim. Acta 2001, 65, (20), 3435-3442. Schmeide, K.; Bernhard, G., Sorption of Np(V) and Np(IV) onto kaolinite: Effects of pH, ionic strength, carbonate and humic acid. Appl. Geochem. 2010, 25, (8), 1238-1247. Davis, J. A.; Leckie, J. O., Effect of Adsorbed Complexing Ligands on Trace-Metal Uptake by Hydrous Oxides. Environ. Sci. Technol. 1978, 12, (12), 1309-1315. Davis, J. A., Complexation of trace metals by adsorbed natural organic matter. Geochim. Cosmochim. Acta 1984, 48, (4), 679-691. Neihof, R.; Loeb, G., Dissolved Organic-Matter in Seawater and Electric Charge of Immersed Surfaces. J. Mar. Res. 1974, 32, (1), 5-12. Bryan, N. D.; Jones, D. L. M.; Keepax, R. E.; Farrelly, D. H.; Abrahamsen, L. G.; Pitois, A.; Ivanov, P.; Warwick, P.; Evans, N., The role of humic non-exchangeable binding in the promotion of metal ion transport in groundwaters in the environment. J. Environ. Monit. 2007, 9, (4), 329-347. Schmitt, D.; Saravia, F.; Frimmel, F. H.; Schuessler, W., NOM-facilitated transport of metal ions in aquifers: importance of complex-dissociation kinetics and colloid formation. Water Res. 2003, 37, (15), 3541-3550. Ochs, M.; Cosovic, B.; Stumm, W., Coordinative and Hydrophobic Interaction of Humic Substances with Hydrophilic Al2o3 and Hydrophobic Mercury Surfaces. Geochim. Cosmochim. Acta 1994, 58, (2), 639-650. Davis, J. A.; Gloor, R., Adsorption of Dissolved Organics in Lake Water by AluminumOxide - Effect of Molecular-Weight. Environ. Sci. Technol. 1981, 15, (10), 1223-1229. Stumm, W., Chemistry of the solid-water interface: processes at the mineral-water and particle-water interface in natural systems. John Wiley & Sons, Inc.: New York, 1992; p 428. Czerwinski, K. R.; Buckau, G.; Scherbaum, F.; Kim, J. I., Complexation of the Uranyl-Ion with Aquatic Humic-Acid. Radiochim. Acta 1994, 65, (2), 111-119. Lenhart, J. J.; Cabaniss, S. E.; MacCarthy, P.; Honeyman, B. D., Uranium(VI) complexation with citric, humic and fulvic acids. Radiochim. Acta 2000, 88, (6), 345-353.
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Moulin, V.; Tits, J.; Ouzounian, G., Actinide Speciation in the Presence of Humic Substances in Natural-Water Conditions. Radiochim. Acta 1992, 58-9, 179-190. Lenhart, J. J.; Honeyman, B. D., Uranium(VI) sorption to hematite in the presence of humic acid. Geochim. Cosmochim. Acta 1999, 63, (19-20), 2891-2901. Payne, T. E.; Davis, J. A.; Waite, T. D., Uranium adsorption on ferrihydrite - Effects of phosphate and humic acid. Radiochim. Acta 1996, 74, 239-243. Mibus, J.; Sachs, S.; Pfingsten, W.; Nebelung, C.; Bernhard, G., Migration of uranium(IV)/(VI)in the presence of humic acids in quartz sand: A laboratory column study. J. Contam. Hydrol. 2007, 89, (3-4), 199-217. McCarthy, J. F.; Czerwinski, K. R.; Sanford, W. E.; Jardine, P. M.; Marsh, J. D., Mobilization of transuranic radionuclides from disposal trenches by natural organic matter. J. Contam. Hydrol. 1998, 30, (1-2), 49-77. Wan, J.; Dong, W.; Tokunaga, T. K., Method to Attenuate U(VI) Mobility in Acidic Waste Plumes Using Humic Acids. Environ. Sci. Technol. 2011, 45, (6), 2331-2337. Nagasaki, S., Sorption of uranium(VI) on Na-montmorillonite colloids - effect of humic acid and its migration. In Stud. Surf. Sci. Catal., Iwasawa, Y.; Oyama, N.; Kunieda, H., Eds. Elsevier: 2001; Vol. 132, pp 829-832. Pitois, A.; Abrahamsen, L. G.; Ivanov, P. I.; Bryan, N. D., Humic acid sorption onto a quartz sand surface: A kinetic study and insight into fractionation. J. Colloid Interface Sci. 2008, 325, (1), 93-100. Choppin, G. R.; Shanbhag, P. M., Binding of calcium by humic acid. J. Inorg. Nucl. Chem. 1981, 43, (5), 921-922. Higgo, J. J. W.; Kinniburgh, D.; Smith, B.; Tipping, E., Complexation of Co2+, Ni2+, UO22+ and Ca2+ by humic substances in groundwaters. Radiochim. Acta 1993, 61, (2), 91-103. Joseph, C.; Schmeide, K.; Sachs, S.; Brendler, V.; Geipel, G.; Bernhard, G., Sorption of uranium(VI) onto Opalinus Clay in the absence and presence of humic acid in Opalinus Clay pore water. Chem. Geol. 2011, 284, (3-4), 240-250. Averett, R. C.; Leenheer, J. A.; McKnight, D. M.; Thorn, K. A. Humic substances in the Suwannee River, Georgia: interactions, properties, and proposed structures; Water-Supply Paper 2373; U.S. Geological Survey: Denver, 1994. Tinnacher, R. M.; Honeyman, B. D., A new method to radiolabel natural organic matter by chemical reduction with tritiated sodium borohydride. Environ. Sci. Technol. 2007, 41, (19), 6776-6782. Kantar, C. The role of citric acid in the transport of U(VI) through saturated porous media: the application of surface chemical models to transport simulations of bench-scale experiments. Colorado School of Mines, Golden, 2001. Sanpawanitchakit, C. The application of surface complexation modeling to the adsorption of uranium(VI) on natural composite materials. Ph.D., Colorado School of Mines, Golden, 2001. Armistead, C. G.; Tyler, A. J.; Hambleton, F. H.; Mitchell, S. A.; Hockey, J. A., Surface hydroxylation of silica. J. Phys. Chem. 1969, 73, (11), 3947-3953. Murphy, R. J.; Lenhart, J. J.; Honeyman, B. D., The sorption of thorium (IV) and uranium (VI) to hematite in the presence of natural organic matter. Colloids Surf., A 1999, 157, (13), 47-62. Espenson, J. H., Chemical kinetics and reaction mechanisms. 2nd ed.; McGraw-Hill, Inc.: New York, 1995; p 281.
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Tinnacher, R. M. Effects of fulvic acid and extracellular polymeric substances on the mobility of uranium and plutonium in saturated groundwater systems. Colorado School of Mines, Golden, 2008. Sparks, D. L., Kinetics and mechanisms of soil chemical reactions. In Handbook of soil science, Summer, M. E., Ed. CRC Press: Boca Raton, 2000. Papelis, C.; Hayes, K. F.; Leckie, J. O. HYDRAQL: A program for the computation of chemical equilibrium composition of aqueous batch systems including surfacecomplexation modeling of ion adsorption at the oxide/solution interface; Stanford University: CA, 1988; p 130. Guillaumont, R.; Fanghanel, T.; Fuger, J.; Grenthe, I.; Neck, V.; Palmer, D. A.; Rand, M. H., Update on the Chemical Thermodynamics of Uranium, Neptunium, Plutonium, Americium and Technetium. Elsevier: Amsterdam, 2003; Vol. 5. Westall, J. C.; Jones, J. D.; Turner, G. D.; Zachara, J. M., Models for Association of MetalIons with Heterogeneous Environmental Sorbents.1. Complexation of Co(II) by Leonardite Humic-Acid as a Function of pH and NaClO4 Concentration. Environ. Sci. Technol. 1995, 29, (4), 951-959. Lenhart, J. J. The application of surface complexation modeling to the adsorption of uranium(VI) onto hematite in the presence of humic and fulvic acids. Colorado School of Mines, Golden, 1997. Davis, J. A.; Meece, D. E.; Kohler, M.; Curtis, G. P., Approaches to surface complexation modeling of uranium(VI) adsorption on aquifer sediments. Geochim. Cosmochim. Acta 2004, 68, (18), 3621-3641. Hsi, C. K. D.; Langmuir, D., Adsorption of uranyl onto ferric oxyhydroxides: Application of the surface complexation site-binding model. Geochim. Cosmochim. Acta 1985, 49, (9), 1931-1941. Davis, J. A., Adsorption of natural dissolved organic matter at the oxide/water interface. Geochim. Cosmochim. Acta 1982, 46, (11), 2381-2393. Dzombak, D. A.; Morel, F. M. M., Surface complexation modeling: hydrous ferric oxide. John Wiley & Sons: New York, 1990. Nedobukh, T. A.; Kaftailov, V. V.; Betenekov, N. D., Radiochemical study of hydroxide films. V. Effect of carbonate ion on statics and kinetics of sorption of microamounts of uranium by thin-layer titanium hydroxide. Radiokhimiya 1987, 29, (6), 787-794. Stumm, W., Aquatic chemical kinetics. John Wiley & Sons: New York, 1990. Selim, H. M.; Amacher, M. C., Reactivity and transport of heavy metals in soils. CRC Lewis Publishers: Boca Raton, 1996; p 201. Skopp, J., Analysis of Time-Dependent Chemical Processes in Soils. J. Environ. Qual. 1986, 15, (3), 205-213. Van de Weerd, H.; Van Riemsdijk, W. H.; Leijnse, A., Modeling the dynamic adsorption desorption of a NOM mixture: Effects of physical and chemical heterogeneity. Environ. Sci. Technol. 1999, 33, (10), 1675-1681. van de Weerd, H.; van Riemsdijk, W. H.; Leijnse, A., Modeling transport of a mixture of natural organic molecules: Effects of dynamic competitive sorption from particle to aquifer scale. Water Resour. Res. 2002, 38, (8). Artinger, R.; Kienzler, B.; Schüßler, W.; Kim, J. I., Effects of humic substances on the 241Am migration in a sandy aquifer: column experiments with Gorleben groundwater/sediment systems. J. Contam. Hydrol. 1998, 35, (1–3), 261-275.
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Artinger, R.; Schuessler, W.; Schaefer, T.; Kim, J.-I., A Kinetic Study of Am(III)/Humic Colloid Interactions. Environ. Sci. Technol. 2002, 36, (20), 4358-4363. Geckeis, H.; Rabung, T.; Manh, T. N.; Kim, J. I.; Beck, H. P., Humic colloid-borne natural polyvalent metal ions: Dissociation experiment. Environ. Sci. Technol. 2002, 36, (13), 2946-2952. Zhao, J.; Fasfous, I. I.; Murimboh, J. D.; Yapici, T.; Chakraborty, P.; Boca, S.; Chakrabarti, C. L., Kinetic study of uranium speciation in model solutions and in natural waters using Competitive Ligand Exchange Method. Talanta 2009, 77, (3), 1015-1020. Tinnacher, R. M.; Honeyman, B. D., Theoretical analysis of kinetic effects on the quantitative comparison of K(d) values and contaminant retardation factors. J. Contam. Hydrol. 2010, 118, (1-2), 1-12.
555 556 557
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558
FIGURES AND FIGURE CAPTIONS
559 U=1.00E-8 M, Si=400 g/l
U=1.00E-7 M, Si=200 g/l
U=1.00E-7 M, Si=400 g/l
U=1.00E-6 M, Si=200 g/l
Series6
U=1.00E-5 M, Si=200 g/l
100 90
U(VI) sorbed [%]
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 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
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80 70 60 50 40 30 20 10 0 2
3
4
5
6
7
8
9
10
pH
560 561 562
Figure 1. Results from batch sorption envelope experiments for the sorption of uranium(VI) to
563
pretreated silica sand (Si) at I = 0.01 M NaCl/NaHCO3 and various solid-liquid ratios over 48
564
hours. Si concentrations of 200 g l-1 and 400 g l-1 correspond to 9 × 10-6 and 1.8 × 10-5 mol l-1
565
total surface sites. At around pH=7, U(VI) sorption densities range from 2.30 × 10-11 mol g-1 (at
566
U(VI)=10-8 M, Si=400 g l-1, pH=6.93) to 2.91 × 10-8 mol g-1 (at U(VI)=10-5 M, Si=200 g l-1,
567
pH=7.41) with corresponding total U(VI) surface site coverages of 0.05% and 63.63%. (Error
568
bars represent estimated 68% confidence intervals based on duplicate experiments performed at
569
10-7
M
U(VI),
200
g
l-1
silica
sand,
and
48
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equilibration
time).
24
Page 25 of 30
570 571
60
1.6E-10 mol FA/g=0.06 µg TOC/g
FA=6.15E-8 M FA=1.00E-6 M
50
FA=1.00E-5 M FA=6.15E-5 M
FA sorbed [%]
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 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
Environmental Science & Technology
40 1.2E-9 mol FA/g=0.46 µg TOC/g
30
7.8E-9 mol FA/g=2.92 µg TOC/g 7.2E-9 mol FA/g=2.68 µg TOC/g
20
10
0 2 572
3
4
5
6
7
8
9
10
pH
573 574
Figure 2. Results from batch sorption envelope experiments for the sorption of tritiated fulvic
575
acid (FA) to 200 g l-1 silica sand at I = 0.01 M NaCl/NaHCO3 over 72 hours. FA concentrations
576
of 6.15 x 10-8 M, 10-6 M, 10-5 M and 6.15 x 10-5 M FA correspond to approximately 0.02, 0.37,
577
3.7, and 23 mg l-1 TOC. Total surface site coverages are highly dependent on FA concentrations,
578
e.g. ranging from 1.5% (FA=6.15 × 10-8 M) to 75.5% (FA=10-5 M) at around pH=4.5. (Error
579
bars represent 90% confidence intervals for duplicate analysis of supernatant samples.)
580
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581 582 U=1.00E-7 M, no FA
U=1.00E-7 M, FA=1.00E-6 M
U=1.00E-7 M, FA=6.15E-8 M
U=1.00E-7 M, FA=1.00E-5 M
U=1.00E-7 M, FA=6.15E-7 M
100
5E-10
80
4E-10
70 60
3E-10
50 40
2E-10
30 20
1E-10
U(VI) sorbed [mol/gSolid]
90
U(VI) sorbed [%]
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 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
Page 26 of 30
10 0
0E+00 2
583
3
4
5
6
7
8
9
10
pH
584 585
Figure 3. Results from batch sorption envelope experiments for the sorption of uranium(VI) to
586
200 g l-1 silica sand at I = 0.01 M NaCl/NaHCO3 and in the presence of various fulvic acid (FA)
587
concentrations over 72 hours. FA concentrations of 6.15 x 10-8 M, 6.15 x 10-7 M, 10-6 M and
588
10-5 M FA correspond to approximately 0.02, 0.23, 0.37, and 3.7 mg l-1 TOC. At around pH=7,
589
U(VI) surface site coverages range from 0.2% (FA=10-5 M) to 0.7% (FA=10-6 M) and 0.9% (no
590
FA). (Error bars represent estimated 68% confidence intervals based on duplicate experiments
591
performed at 10-7 M U(VI), 200 g l-1 silica sand, and 48 hours equilibration time.)
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Page 27 of 30
592 593
7.0 UO2(L2)(L3) (UO2)2CO3(OH)3-
7.5
UO2CO3
pC U(VI) [mol/L]
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 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
Environmental Science & Technology
8.0
8.5
UO2(OH)2 UO2(OH)+
UO2L2+
UO2(CO3)22-
UO2L3+
9.0
9.5
FA conc.
U-FA total
6.15E-8 M 6.15E-7 M 1.00E-6 M 1.00E-5 M 6.15E-5 M
0.02% 0.19% 0.32% 4.74% 53.94%
UO2L1
UO22+
10.0 8.0 594
7.5
7.0
6.5
6.0
5.5
5.0
4.5
4.0
pC FA [mol/L]
595 596
Figure 4. Speciation of 10-7 M U(VI) at pH=7 and pCO2=10-3.5 atm in 0.01 M NaCl/NaHCO3 as
597
a function of fulvic acid (FA) concentration. Speciation was simulated in HYDRAQL (without
598
ionic strength corrections) using existing thermodynamic data39,
599
speciation models, run at various FA concentrations; lines show trends between these models.
600
Tabulated values give the total fractions of U(VI) found in form of various U(VI)-FA solution
601
complexes at different, total FA concentrations.
41
.
Data points represent
602 603
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27
Environmental Science & Technology
a)
U only U, FA=1.00E-6 M
b)
U, FA=1.00E-5 M U, FA=6.15E-5 M
100
U only U, FA=1.00E-6 M
5E-10
50 40
2E-10
20
4E-10
70 60
3E-10
50 40
2E-10
30
1E-10
20
10
U(VI) sorbed [mol/gSolid]
3E-10
80
U(VI) sorbed [%]
60
U(VI) sorbed [mol/gSolid]
U(VI) sorbed [%]
4E-10
70
30
1E-10
10
0
0E+00 0.0
0.5
1.0
1.5
2.0
2.5
3.0
0
3.5
0E+00 0
5
10
15
Time [d]
604
No U, FA=1.00E-6 M No U, FA=1.00E-5 M No U, FA=6.15E-5 M
30
20
25
30
35
Time [d]
U, FA=1.00E-6 M U, FA=1.00E-5 M U, FA=6.15E-5 M
d)
20
20
FA sorbed [%]
25
15
No U, FA=1.00E-6 M No U, FA=1.00E-5 M No U, FA=6.15E-5 M
30
25
U, FA=1.00E-6 M U, FA=1.00E-5 M U, FA=6.15E-5 M
1.0E-9 mol FA/g=0.39 µg TOC/g
15 3.4E-9 mol FA/g=1.27 µg TOC/g 1.2E-8 mol FA/g=4.42 µg TOC/g
10
10
5
5
0
0 0.0
605
5E-10
90
80
c)
U, FA=1.00E-5 M U, FA=6.15E-5 M
100
90
FA sorbed [%]
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 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
Page 28 of 30
0.5
1.0
1.5
2.0
2.5
3.0
0
5
10
Time [d]
15
20
25
30
35
Time [d]
606 607
Figure 5. a) and b): Sorption of 10-7 M U(VI)Tot to 200 g l-1 silica sand as a function of time at
608
pH=7 and in the presence of various fulvic acid (FA) concentrations. FA concentrations of 10-6
609
M, 10-5 M and 6.15 × 10-5 M FA correspond to approx. 0.37, 3.7, and 23 mg l-1 TOC. c) and d):
610
Kinetics of fulvic acid (FA) sorption to 200 g l-1 silica sand in the presence (full symbols) and
611
absence (open symbols) of 10-7 M U(VI)Tot at pH=7 and I=0.01 M NaCl/NaHCO3. Lines
612
represent model fits for pseudo-first order sorption kinetics.
613
confidence intervals.)
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(Error bars represent 68%
28
Page 29 of 30
614 615 616 617
a)
b)
100 90 80 70 60 50 40 30 U only U, FA=1.00E-6 M U, FA=1.00E-5 M U, FA=6.15E-5 M
20 10
90 80 70 60 50 40 U, FA=1.00E-6 M No U, FA=1.00E-6 M U, FA=1.00E-5 M No U, FA=1.00E-5 M U, FA=6.15E-5 M No U, FA=6.15E-5 M
30 20 10
0
0 0
618
100 Fraction of FA equilibr. surf. conc. [%]
Fraction of U(VI) equilibr. surf. conc. [%]
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 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
Environmental Science & Technology
10
20
30 40 Time [hrs]
50
60
70
0
10
20
30 40 Time [hrs]
50
60
70
619 620
Figure 6. Fractions of (a) U(VI) and (b) FA equilibrium surface concentrations reached over the
621
course of kinetic experiments at pH=7. For the data-based estimation method, linear regression
622
calculations were used to estimate t1/2 values, the time-points when 50% of individual
623
equilibrium surface concentrations have been reached. Values of t1/2 (dashed circles) represent
624
the intercepts between individual regression lines and the lines showing 50% of the equilibrium
625
surface concentration. (Error bars omitted for simplification.)
626 627
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Environmental Science & Technology
628 629
Data-based t_1/2
60
t1/2 for U(VI) or FA sorption [hr]
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 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
Page 30 of 30
U(VI) sorpt.: 1.00E-7 M U
Model-based t_1/2
FA sorption: 1.00E-7 M U
No U
50
40
30
20
10
0
630
FA concentration [M]
631 632
Figure 7. Characteristic times (t1/2) for the sorption of 10-7 M U(VI)Tot or various fulvic acid
633
concentrations to 200 g l-1 silica sand at pH=7 using a data-based estimation method (‘Data-
634
based t1/2’) or a calculation based on fitted modeling parameters (‘Model-based t1/2’, Table S4).
635
Error bars represent 68% confidence intervals for model-based values.
636
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