Accepted Manuscript Interactions of triazine herbicides with biochar: Steric and electronic effects Feng Xiao, Joseph J. Pignatello PII:
S0043-1354(15)00277-8
DOI:
10.1016/j.watres.2015.04.040
Reference:
WR 11269
To appear in:
Water Research
Received Date: 9 January 2015 Revised Date:
1 April 2015
Accepted Date: 13 April 2015
Please cite this article as: Xiao, F., Pignatello, J.J., Interactions of triazine herbicides with biochar: Steric and electronic effects, Water Research (2015), doi: 10.1016/j.watres.2015.04.040. This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.
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Interactions of triazine herbicides with biochar: Steric and electronic
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effects
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Feng Xiao and Joseph J. Pignatello*
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Department of Environmental Sciences, The Connecticut Agricultural Experimental Station, 123
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Huntington St., P.O. Box 1106, New Haven, Connecticut 06504-1106, United States
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corresponding author contact information: Phone: +1-203-974-8518; fax: +1-203-974-8502; e-mail
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ABSTRACT: We studied the adsorption of triazine herbicides and several reference
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heteroaromatic amines from water onto a temperature series of hardwood biochars (300 – 700 oC,
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labelled B300 – B700). Adsorption on biochars correlated poorly with pyrolysis temperature,
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H/C, O/C, mean minimum fused ring size, surface area (N2 or CO2), microporosity, and
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mesoporosity, but correlated well with a weighted sum of microporosity and mesoporosity.
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Steric effects were evident by the negative influence of solute molecular volume on adsorption
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rate. Adsorption rate maximized for the biochar with the greatest mesoporosity-to-total-porosity
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ratio, suggesting that mesopores are important for facilitating diffusion into pore networks. The
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cationic forms of amines adsorb more slowly than the neutral forms. To further probe steric and
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electronic effects, adsorption on a biochar (B400) was compared to adsorption on graphite—a
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nonporous reference material with an unhindered, unfunctionalized graphene surface—and in
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comparison with reference compounds (benzene, naphthalene, pyridine, quinoline and 1,3-
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triazine). Relative to benzene, the surface area-normalized adsorption of the triazine herbicides
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was disfavored on B400 (favored on graphite) by 11−19 kJ/mole, depending on concentration. It
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is estimated that steric suppression of B400 adsorption comprises 6.2 kJ/mol of this difference,
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the remainder being the difference in polar electronic effects. Based on the behavior of the
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reference amines, the difference in polar effects is dominated by π−π electron donor–acceptor
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(EDA) interactions with sites on polyaromatic surfaces, which are more electropositive and/or
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more abundant on graphite. Overall, our results show that mesoporosity is critical, that
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adsorption rate is a function of solute molecular size and charge, that steric effects in the solute
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largely suppress equilibrium adsorption, and that π−π EDA forces play a role in triazine polar
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interactions with the biochar.
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Keywords: Herbicides; Soil contamination; Leaching; Groundwater; Solid waste conversion;
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Biochar
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Text word count: 5104
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Figures (6): 5 × 300 (Figs. 1−4 and 6) + 1 × 600 (Fig. 5) = 2100
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Table (1): 1 × 300 = 300
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Total word count: 7783 = Abstract (279) + Text (5104) + Figures (2100) + Table (300)
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Graphical Abstract
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1. Introduction
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Triazine herbicides are used world-wide in agriculture to control broadleaf and grassy weeds.
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The triazines have low to moderate soil sorption coefficient, moderate solubility in water, and
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low volatility, making them vulnerable to leaching. In the U.S., triazine herbicides, especially
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atrazine, simazine and prometon, are frequently detected in ground and surface waters at
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concentrations up to several hundred micrograms per liter (Gilliom, 2007, Hoffman et al., 2000,
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Kolpin et al., 1998). Exposure to some triazine herbicides can lead to adverse human health and
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ecosystem effects, including hormone disruption (atrazine) (Chapin et al., 1996) and damage to
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testes, kidneys, and thyroid (simazine) (USEPA, 2002; 2005). Effective approaches for
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mitigating the leaching of triazine herbicides from agricultural fields are clearly needed. Biochar,
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which is made by anaerobic pyrolysis of biomass waste materials, has attracted attention as soil
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amendments for reducing the physical and biological availabilities of soil-borne chemicals,
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among other functions (Lehmann and Joseph, 2015 (in press)). Biochar addition to soils
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increases adsorption of certain herbicide compounds (Cabrera et al., 2014, Graber and Kookana,
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2015, Loganathan et al., 2009, Spokas et al., 2009), which can reduce leaching (Delwiche et al.,
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2014, Graber and Kookana, 2015, Jones et al., 2011, Lu et al., 2012) but at the same time
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increases the application rate needed to achieve the same level of weed control (Graber and
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Kookana, 2015). Chars also present intrinsically in soil as the charred products of biomass
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burning.
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The objective of the present study was to better understand the interaction of triazines
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with biochar at a fundamental level. Published studies with this objective in mind are few and
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were seldom carried out by varying solutes and sorbents in a systematic manner. Hao et al. found
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that the adsorption of atrazine on corncob biochars increases with decreasing H/C and (O + N)/C
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ratios, stating that “aromatic C and hydrophobic structures” are the major adsorption sites (Hao
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et al., 2013). Cao et al. proposed that the adsorption of atrazine by low-temperature (200 and 350
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◦
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2009). Zhang et al. found that decreasing the solution pH from ~9.7 to ~3.7 led to a 1.5-fold
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increase in the adsorption of atrazine and simazine on biochar made from a mixture of hardwood
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chips and barks, and believed that the increase was due to the coulombic attraction between the
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triazine cations and the negatively charged surfaces (Zheng et al., 2010). In spite of the insights
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gained from these studies, our mechanistic understanding of the adsorption of triazines and other
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agrochemicals to biochar is still rudimentary.
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C) biochars is due to partitioning into an uncarbonized biochar organic matter phase (Cao et al.,
First, the effect of biochar pore geometry on the adsorption is not clear. Biochar and
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many pyrogenic carbonaceous materials (PCMs) are generally nanoporous, with pores having
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apertures within the range of solute molecular diameters. Several rate models based on pore-
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diffusion and pore-filling mechanisms have been developed for the adsorption on porous PCMs
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(activated carbon) (Ahn et al., 2005, Crittenden et al., 1991, Kleineidam et al., 2002). However,
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little attention has been paid so far to steric effects that could result in molecular exclusion from
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pores or hindered diffusion within pore networks. Some studies of simple neutral aromatic
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compounds have shown that adsorption on biochar becomes hindered with increasing degree of
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substitution on the ring and increasing fused ring size (Lattao et al., 2014, Pignatello, 2013, Zhu
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et al., 2005). However, the role of biochar geometry, especially the relative importance of
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microporosity and mesoporosity of biochar, in relation to the size of solute molecules has not
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been well characterized.
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Second, the influence of the electronic properties of heteroaromatic amines on adsorption
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is also incompletely understood. Previous studies have shown that π-electron rich polyaromatic
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surfaces of biochar and graphite can interact with certain cyano- or nitroaromatic compounds
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that are π-electron poor to form π–π electron donor-acceptor (EDA) complexes (Lattao et al.,
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2014, Zhu and Pignatello, 2005). The π–π EDA force results primarily from attraction between
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opposing quadrupoles. We recently showed that cationic triazine herbicides (ametryn and
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prometon) and polyaromatic surfaces undergo π+–π EDA interactions, which are a combination a
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π−π EDA force and a cation−π force (Xiao and Pignatello, 2015). Zhang et al. suggested that
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uncharged atrazine undergoes π−π EDA interactions on manure-derived biochars (Zhang et al.,
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2013). Since the neutral form of the triazines predominates in the soil under most conditions, it is
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of interest to establish beyond speculation whether neutral triazine herbicides can associate
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through π–π EDA interactions with the polyaromatic surfaces of PCMs including biochar.
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The effect of biochar amendment on the leaching of herbicides also strongly depends on
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the adsorption rate; however, reports of adsorption rates of organic compounds including
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herbicides by biochar are rare (Chen et al., 2012). Chen et al. state that the diffusion of organic
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compounds in an uncarbonized ‘partition’ phase is slower than diffusion in the carbonized
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phases of biochar; hence, naphthalene adsorption was slower in low-temperature biochars (200
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and 300 oC) than in high-temperature biochars (> 400 oC), which had a higher degree of
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carbonization (Chen et al., 2012).
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The objective of this study was to systematically probe key physical-chemical properties
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of the biochar and key electronic and steric properties of the triazine herbicides that govern the
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overall adsorption rate and extent. The test set included five triazine herbicides―ametryn,
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atrazine, prometon, simazine, and terbutryn. The study was aided by the use of reference
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compounds and sorbents. The reference compounds included three heteroaromatic amines
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(pyridine, quinoline and 1,3-diazine). Quinoline is a steric homolog of pyridine; 1,3-diazine is
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isosteric with pyridine and an electronic homolog of pyridine. Pyridine and quinoline are used in
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a variety of industrial, commercial, and agronomic applications, and have been found in the
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natural environment (Brumley et al., 1991, Pereira et al., 1983, Stuermer et al., 1982). We also
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included two nonpolar aromatic compounds (benzene and naphthalene) for comparison; their
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adsorption data were taken from a previous study (Lattao et al., 2014). The reference adsorbent
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was graphite, which has an unhindered, unfunctionalized polyaromatic (graphene) surface.
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Graphite has been used previously as a reference for the polyaromatic surfaces of PCMs (Lattao
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et al., 2014, Pignatello, 2013, Xiao and Pignatello, 2015, Zhu et al., 2005).
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2. Methods and materials
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Biochars were made from maple wood shavings heated for 2 h under a flow of N2 at six final
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heat treatment temperatures (HTTs) from 300 to 700 ºC as previously described (Cao et al.,
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2012). The chars are hereafter referred to as B300 through B700. Graphite (Sigma-Aldrich;
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99.99% C; particle size < 20 µm) had 100.1% C, 99.9%; pKa = 5.23), 1,3-
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diazine (≥ 98.0%; pKa = 1.23), quinoline (98%; pKa = 4.95)]. ‘Nanopure water’ is tap water
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passed through a commercial purifier (Milli-Q) to achieve a resistivity of > 18.2 MΩ cm. 8
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Adsorption was conducted in glass vials at 20 ºC by a method described previously (Xiao
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and Pignatello, 2014). The liquid phase was synthetic agricultural runoff prepared with nanopure
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water containing both monovalent and divalent ions (1.0 × 10−3 mol/L NaHCO3, 0.5 × 10−3 mol/L
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CaCl2, 0.2 × 10−3 mol/L MgSO4, 0.1 × 10−3 mol/L KCl, 1.0 × 10−3 mol/L NaCl) and also
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containing 3.1 × 10−3 mol/L NaN3 to inhibit microbial growth. The calculated ionic strength is
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7.5 × 10−3 mol/L, not including salts from the biochar that may have dissolved. The adsorbent
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(biochar or graphite) was pre-wetted in the liquid phase for 48 h. The vials were then spiked with
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adsorbates from stock solutions in methanol (atrazine, simazine and terbutryn; final methanol
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concentration in liquid phase, < 0.2%) or water (ametryn, prometon, pyridine, 1,3-diazine and
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quinoline), and allowed to mix end-over-end at 40 revolutions per minute (rpm) at 20 ºC in the
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dark. The solid-to-liquid ratio was adjusted to achieve 25−75% adsorption. The solid-to-liquid
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ratio did not influence adsorption on graphite (Fig. S1 in the Supplementary data). The
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adsorption equilibrium time was chosen on the basis of separate kinetic tests to be sufficient to
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reach apparent equilibrium. Equilibration times of 50 d (for pyridine and quinoline) and 60 d (for
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triazine herbicides) were chosen for biochar, and 48 h was chosen for graphite. An adsorption
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time of 7 d for 1,3-diazine on biochar was selected on the basis of the uptake curve for pyridine.
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Controls without adsorbents showed no significant abiotic loss during the uptake period. After
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adsorption, the aqueous phase was sampled and microfiltered (0.45 µm, nylon). Adsorption to
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filters was negligible. Aqueous concentrations were determined within two days by high-
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performance liquid chromatography (HPLC) with UV detection at 228 nm for herbicides and
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quinoline and 256 nm for 1,3-diazine and pyridine, using external standards. The analytical
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HPLC methods can be found in the Supplementary data.
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Adsorption isotherms were fit to the Freundlich model:
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Cs = K F Cwn
(1)
where Cs (mg/kg) and Cw (mg/L) are the adsorbed and aqueous-phase concentrations,
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respectively; n is the Freundlich exponent providing an indication of isotherm nonlinearity; and
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KF (mg1–n Ln kg–1) is the Freundlich adsorption coefficient. They were obtained by nonlinear
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least-squares regression of experimental data weighted by the dependent variable. The observed
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(concentration-dependent) distribution ratio K (L/kg) (Kb for biochar and Kg for graphite) is
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defined as the adsorbed-to-solution concentration ratio,
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The K is related to KF by K = K FCwn−1 .
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K=
The uptake data were fitted to an analytical solution of the Fickian diffusion equation for a sphere in a well-mixed batch system (Crank, 1975):
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(3)
where Cs,t and Cs,e are the concentrations of solute adsorbed after time t and equilibrium,
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respectively; a (cm) is the characteristic diffusion length scale within the solid; Dbapp (cm2/sec) is
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the apparent diffusion coefficient over a; α (unitless) is a parameter incorporating the final
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fractional uptake of solute; and qn is the non-zero root of
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tan q n =
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The value of Dbapp a 2 was obtained by minimizing the sum of the square of the differences
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between measured and fitted values, with Dbapp a 2 as the only adjustable parameter. The
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regression was performed for values of n up to 4 because
app 6α (α + 1) exp(− Dbiochar qn2t / a 2 ) 9 + 9α + qn2α 2
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approached zero for n > 4. The adjusted (for degrees of freedom) coefficient of determination
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Radj2 was used to evaluate fitting performance (Xiao et al., 2013).
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3. Results and discussion
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3.1. Microporosity and mesoporosity and other properties of biochars as a function of HTT
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Increasing HTT caused significant and nonlinear increases in C and decreases in O and H
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contents of biochar (Fig. S2, Supplementary data). The loss of oxygen-containing substance and
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volatile organic compounds during pyrolysis results in the formation of pores (Lehmann and
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Joseph, 2015 (in press)). The total porosity of biochar tripled from HTT of 300 ºC to 500−700 ºC.
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The microporosity of biochar (d < 2 nm) increased by 2.5 times as the HTT increased from 300
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ºC to 700 ºC (Fig. 1). Considerable mesoporosity (2 nm < d < 50 nm) had developed by the HTT
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of 500 ºC. The mesoporosity decreased two-fold when the HTT further increased from 500 oC to
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600 ºC and was unchanged from 600 ºC to 700 ºC. B500 had the highest mesoporosity, whereas
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B700 had the highest microporosity (Fig. 1). Lua et al. also found that the N2 BET surface area
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of pistachio-nut shell-derived carbon increases with the pyrolysis temperature from 250 to 500
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o
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Keiluweit et al. found that a general increase in N2 BET surface area of wood- and grass-derived
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chars as the pyrolysis temperature increasing from 100 to 700 oC (Keiluweit et al., 2010). The
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effects of pyrolysis temperature on the evolution of biochar pore geometry are not well
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understood, and they are potentially intertwined with other pyrolysis conditions and feedstock
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type. In addition, the isoelectric point determined by zeta potential measurement is pHiep < ~2 for
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all the biochars (Fig. S3, Supplementary data). As shown in Fig. S3, at neutral pH, the low-
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temperature biochars (e.g,. B300) tends to be more negatively charged than high-temperature
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C but then decreases (moderately) from 500 to 800 oC (Lua et al., 2004). On the other hand,
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biochars (e.g., B700), which is likely due to the loss of surface oxygenic functional groups with
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temperature (see Fig. S2 of Supplementary data). The mean minimum aromatic fused ring cluster
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size estimated by nuclear magnetic resonance spectroscopy increased approximately linearly
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from 20 to 76 carbons with HTT from 300 to 700 oC (Cao et al., 2012).
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Fig. 1 is near here.
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3.2. Adsorption as a function of biochar physical-chemical properties
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We initially examined the relationships between adsorption and biochar physical-chemical
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properties using atrazine and the reference, planar compound quinoline as probes. Adsorption
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isotherms of atrazine on B300, B400, B500, B600 and B700 are shown in Fig. S4
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(Supplementary data), and those of quinoline in Fig. S5. Many studies of organic compound
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adsorption by PCMs (biochar and activated carbon) (Ahmaruzzaman, 2008, Graber et al., 2012,
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Hao et al., 2013, Kearns et al., 2014, Wang et al., 2010, Yang et al., 2010, Zhang et al., 2011)
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report a trend of increasing adsorption with increasing SA or microporosity. In addition, atrazine
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adsorption was found to decrease with increasing carbonization (as H/C ratio) or increasing
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polarity [as (O + H)/C ratio] (Hao et al., 2013). However, our results are not in agreement with
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these reported trends. Biochar B700 has the highest SA, largest microporosity, lowest H/C,
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lowest O/C, and highest mean minimum fused ring cluster size, indicating it has the largest and
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most hydrophobic surface of all the chars; thus, B700 was expected to have the greatest
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adsorption affinity for the test compounds according to the previously-reported trends. However,
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no straightforward relationship was found between atrazine or quinoline adsorption and each of
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the following biochar properties: micropore SA (CO2 accessible), N2 BET SA, CO2-accessible
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microporosity, mesoporosity, H/C, O/C, and fused ring cluster size (Figs. S6 and S7,
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Supplementary data). As shown in Figs. S4 and S6 in Supplementary data, adsorption of atrazine
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peaked at B500, which has the highest mesoporosity. The same is true for quinoline. The results
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are consistent with a recent study (Lattao et al., 2014) that found no straightforward relationship
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between these same biochar properties and adsorption affinity for benzene, naphthalene, or 1,4-
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dinitrobenzene.
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Lattao et al. (Lattao et al., 2014) found that the “reduced” carbon-normalized distribution
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coefficient (Kb-C,r) for benzene, naphthalene, or 1,4-dinitrobenzene could be predicted by the
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weighted sum of microporosity and mesoporosity:
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K b-C,r = a ⋅ microporosity + b ⋅ mesoporosity
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(5)
where a and b are the coefficients (g/cm3) corresponding to micropore adsorption and mesopore
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adsorption, respectively. Kb-C,r is calculated from Cs-C (carbon-normalized Cs) using the
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Freundlich equation and the reduced aqueous concentration. The reduced concentration is given
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by
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Cr = Cw Cwsat ( L)
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(6)
where Cwsat ( L) is saturated water solubility of the liquid or subcooled liquid (atrazine, 1068 mg/L
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(Capel et al., 2008); quinoline, 6110 mg/L (SRC, 2014)). In this study, Eq. 5 was extended to
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include two heteroaromatic amines (atrazine and quinoline), and the values of Kb-C,r were
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calculated at Cr of 0.001 and 0.01.
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A visual presentation of model performance of Eq. 5 is given in Fig. 2, and the regression
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results appear in Table S1 (Supplementary data). The coefficient of determination (R2) falls in
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the range 0.88−0.99 (Table S1), suggesting a strong correlation. However, in each case there are
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only five data points (five biochars) against two independent variables, which may lead to over-
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fitting (Xiao et al., 2013). The adjusted coefficient of determination (Radj2), which takes into
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account the degree of freedom, falls in the range 0.51−0.66, indicating a moderately strong
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correlation. The prediction of Kb-C,r is good to within a factor of 3 (0.48 log units) for all but
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three data points (Fig. 2).
Fig. 2 is near here.
3.3. Adsorption rates
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Uptake rates of prometon, pyridine, and quinoline by biochars were determined at pH ~7, where
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they are predominantly neutral in solution, and at pH ~2 where they are predominantly cationic.
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The data were fitted to the diffusion model in Eq. 3. The uptake curves along with model fits are
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shown in Fig. S8 (Supplementary data). The fits by Eq. 3 are generally better for the neutral than
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the cationic species. The fitted values of Dbapp a 2 are given in Table S2 (Supplementary data) and
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displayed in the bar graphs of Fig. 3.
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Steric hindrance to diffusion becomes important as the ratio of pore aperture to the
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minimum critical molecular diameter drops below ~10, and becomes severe as that ratio
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approaches 1 (Kärger and Ruthven, 1992). The computed molecular volumes and shortest (width)
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and longest (length) molecular dimensions are given in Table 1. The reference compounds,
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benzene, naphthalene, pyridine, 1,3-diazine and quinoline are characterized by co-planarity of all
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atoms in the molecule. The single-ring compounds vary 2.74−2.81 Å in length and the double-
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ring compounds vary 5.02−5.07 Å in length (Table 1). The triazine herbicides are larger in both
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dimensions than the reference compounds due to ring substituents. In addition, the triazines have
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greater bulk in the direction (z) perpendicular to the plane of the ring due to the inability of all
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substituent atoms to simultaneously assume co-planarity with the ring atoms. This can further
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restrict diffusion within slit-like pores, which become more prevalent as the biochar evolves to a
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more polyaromatic structure with increasing pyrolysis temperature.
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Table 1 is near here.
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For a given biochar, Dbapp a 2 follows the order, pyridine > quinoline > prometon, which
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is the reverse order in their molecular volume. The value of Dbapp a 2 follows the same order for
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the corresponding cationic form. An inverse correlation between Dbapp a 2 and molecular volume
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is expected if steric effects are important. Quinoline is 79% longer and 56% more voluminous
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than pyridine, and prometon is the largest among the three compounds in all dimensions (Table
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1). The value of Dbapp a 2 reaches a maximum at B500 with all compounds, both in neutral and
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cationic form. B500 has the largest mesoporosity and the highest ratio of mesoporosity to total
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porosity (Fig. 1). This suggests that mesopores provide pathways for molecules to access deeper
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and smaller pores. The slowest uptake for all three compounds occurred for B700, which has the
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highest microporosity. Restricted diffusion will be manifested more in micropores than
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mesopores, and the steric hindrance in B700 micropores may lead to its low adsorption affinity
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towards solutes in comparison with B500 that has lower microporosity but greater mesoporosity.
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It can also be seen in Fig. 3 that Dbapp a 2 is several times smaller for the cation than for
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the corresponding neutral molecule of pyridine, quinoline and prometon. This observation is
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novel. The slower uptake of the cation is likely due to one or more of the following effects that
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would retard its diffusion in pores compared to the neutral molecule: i) back diffusion of native
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cations (e.g., Na+) to maintain electroneutrality; ii) co-diffusion of a counterion (e.g., Cl−) to
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maintain electroneutrality; or iii) a larger hydration sphere of strongly-bound water molecules
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surrounding the cation and counterion. The relative contribution of these effects requires further
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study.
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3.4. Probing electronic and steric effects using graphite as a reference adsorbent
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The adsorption isotherms of the triazines and the reference compounds, pyridine and quinoline,
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were determined on B400 and graphite for comparison. Graphite is nonporous and sparsely-
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functionalized and should therefore interact primarily on the infinite polyaromatic sheet surface,
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with some adsorption along edges and defects. The weight-based adsorption of the (nonplanar)
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triazine herbicides was generally lower on B400 than on graphite (Fig. S9a), despite the higher
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SA of B400 than graphite (N2-accessible SA: 9.3 m2/g vs 4.5 m2/g; CO2-accessible SA: 388 m2/g
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vs 15.8 m2/g (Lattao et al., 2014)). On the other hand, on a weight basis the planar heterocyclic
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amines (pyridine, quinoline, and 1,3-diazine) prefer B400 over graphite.
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The N2 SA-normalized adsorption isotherms on B400 and graphite are shown in Fig. 4.
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These isotherms are mirrored by the corresponding CO2 SA-normalized isotherms shown in Fig.
338
S9b (Supplementary data). Based on N2 SA, adsorption of the triazine herbicides is 101- to 102-
339
times greater on graphite than on B400. The origin of this preference for graphite may be steric
340
or electronic, or both. The steric bulk of the triazines may limit their access to interior pore SA of
341
B400 that is otherwise available to N2 at 77 K. In this regard, the preference for graphite is not
342
exhibited for the smaller, flatter molecules pyridine, quinoline and 1,3-diazine. An electronic
343
origin of the preference would be remarkable because graphite lacks polar (at least, dipolar)
344
functionality.
AC C
EP
336
16
ACCEPTED MANUSCRIPT
345 346 347
Fig. 4 is near here.
To better understand the relative importance of steric and electronic effects on adsorption,
349
the B400−water and graphite−water isotherms were used to construct the SA normalized
350
B400−graphite distribution isotherms for eight heteroaromatic amines (pyridine, 1,3-diazine,
351
quinoline, and five triazines) studied in the present work, in comparison with those for two
352
aromatic compounds (benzene and naphthalene) obtained from a previous study (Lattao et al.,
353
2014). The isotherms of a reference compound, 1,3,5-triazine could not be obtained because the
354
compound is unstable in water. The B400−graphite isotherms were constructed using the
355
experimental adsorption data points for B400 (Cw, Cs,b) and calculated values of Cs,g for graphite
356
at the same Cw using the Freundlich parameters for graphite converted to unit SA basis (Lattao et
357
al., 2014). The biochar−graphite distribution ratio is given by: K b -g =
358
TE D
M AN U
SC
RI PT
348
Cs,b C w Cs,b = Cs,g C w Cs,g
(7)
Figure S10a shows B400−graphite adsorption isotherms normalized by the N2 BET SA,
360
( SA bN and SA gN 2 , respectively). The same isotherms normalized by CO2 SA in Fig. S10b have
361
identical
362
2 2 SA bN 2 SA CO ⋅ ( SA gN 2 SA CO ) . The isotherms indicate increasing preference for graphite over b g
363
B400 in the order, benzene < pyridine ~ naphthalene < 1,3-diazine < quinoline < triazine
364
herbicides.
365 366
2
relationships,
AC C
spatial
EP
359
but
are
just
shifted
by
a
constant
equal
to
−1
The free energy of B400−graphite partitioning of a compound i, relative to i = benzene, can be expressed by (Lattao et al., 2014),
17
ACCEPTED MANUSCRIPT
367
∆i −BEN ∆ b-gG = ∆i − BEN ∆ b-g G ster + ∆i −BEN ∆ b-g G polar + ∆i −BEN ∆ b-gG hydr
(8)
where the terms on the right correspond to the contributions to overall free energy by steric,
369
polar, and hydrophobic effects. The polar term lumps dipole−dipole, dipole-induced dipole,
370
hydrogen bonding, and quadrupole−quadrupole forces. The hydrophobic effect term lumps
371
dispersion forces at the surface and interactions in the liquid phase that result in disruption of the
372
cohesive forces of bulk water. The hydrophobic free energy may be taken as proportional to the
373
free energy of solvent−water partitioning, such that
SC
∆i−BEN ∆b-gGhydr = ( ∆i −BEN ∆b-g a ) ∆i -BEN ∆S-wG + ( ∆i −BEN ∆b-gb )
(9)
M AN U
374
RI PT
368
where S is a suitable reference solvent and a and b are proportionality constants. For a closely-
376
related series of compounds, the hydrophobic effects driving adsorption to B400 and graphite are
377
expected to be roughly equal, which is equivalent to saying that the values of ∆i−BEN∆b-g a and
378
∆i−BEN∆b-gb are close to zero. Therefore, the hydrophobic term in Eq. 8 can be ignored.
379
Substituting the appropriate B400−graphite adsorption equilibrium constants for ∆BEN-i ∆b-gG , Eq.
380
8 becomes,
383
EP
382
∆ i −BEN ∆ b-g G ster + ∆ i −BEN ∆ b-g G polar = − RT ln
K b-g,i
K b-g,BEN
+ const
(10)
where const is a constant that depends on the reference states chosen for adsorption.
AC C
381
TE D
375
Figure 5 plots ∆ i − BEN ∆ b-g G ster + ∆ i − BEN ∆ b-g G polar versus the adsorbed concentration on
384
graphite for all the eight heteroaromatic amines studied in the present work and two aromatic
385
compounds (benzene and naphthalene) from a previous study (Lattao et al., 2014). One can see
386
that the curve for quinoline is positively displaced relative to the curve for pyridine. Since
387
quinoline and pyridine are expected to undergo similar polar interactions with B400, this
388
suggests that steric effects suppress quinoline adsorption relative to pyridine adsorption on B400. 18
ACCEPTED MANUSCRIPT
As such, the curve for naphthalene is positively displaced (less favorable adsorption by B400)
390
relative to the curve for benzene. Since naphthalene does not undergo significant polar
391
interactions with either biochar or graphite, the positive displacement of the curve for
392
naphthalene has been attributed to steric effects (Lattao et al., 2014).
RI PT
389
393 Fig. 5 is near here.
SC
394 395
The free energy curves for pyridine and 1,3-diazine are also positively displaced relative
397
to the curve for benzene. Since pyridine and 1,3-diazine are isosteric with benzene, this indicates
398
that pyridine and 1,3-diazine have greater affinity for graphite than for B400 for electronic
399
reasons. Pyridine and 1,3-diazine can undergo dipole−dipole, H bonding and π−π EDA
400
interactions with B400. However, since graphite has no significant functionality, of these forces,
401
π−π EDA interactions with graphite appear to dominate the ∆ i − BEN ∆ b-g G polar term for pyridine and
402
1,3-diazine.
TE D
M AN U
396
The π−π EDA force may occur when electron-poor and electron-rich π systems interact
404
through their quadrupoles. The polyaromatic surfaces of PCMs are π-electron rich, while the
405
solute molecule is π-electron poor by virtue of the electronegative N atoms incorporated into the
406
ring. The polyaromatic sheet of graphite is infinite, whereas the mean minimum fused ring size
407
of B400 is about 18 C atoms (Cao et al., 2012). The polyaromatic component of the total SA of
408
B400 is expected to be less than that of graphite due to the presence of incompletely carbonized
409
structure (Keiluweit et al., 2010) in biochar. In addition, B400 contains almost 20% O—some of
410
it in functional groups like hydroxyl, carboxyl, ether and carbonyl attached to rings—that likely
411
reduce the π-donor character of the ring systems.
AC C
EP
403
19
ACCEPTED MANUSCRIPT
Electrostatic potential (Ep, kJ/mol) has been used as an indicator of a compound’s π-
413
donor or π-acceptor character, and thus its potential to engage in π−π EDA interactions (Cockroft
414
et al., 2007, Mecozzi et al., 1996, Xiao and Pignatello, 2015). The molecular Ep surface of
415
solutes was determined by density functional theory (B3LYP, 6-31G* basis set; Spartan 10,
416
Wavefunction Inc., Irvine, CA) (Xiao and Pignatello, 2015). The value of Ep at the midpoint of
417
the ring (Ep,mid) was taken as a measure of the π-donor or π-acceptor character of the ring as a
418
whole, according to past practice (Xiao and Pignatello, 2015). The value of Ep,mid (kJ/mol)
419
increases with increasing N incorporation in the order, benzene (−96.0) < pyridine (−44.2)