Premium
A Chemical Model of Phosphate Adsorption by Soils: I. Reference Oxide Minerals: II. Noncalcareous Soils
Author(s) -
Goldberg Sabine,
Sposito Garrison
Publication year - 1984
Publication title -
soil science society of america journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.836
H-Index - 168
eISSN - 1435-0661
pISSN - 0361-5995
DOI - 10.2136/sssaj1984.03615995004800040056x
Subject(s) - soil water , citation , phosphate , chemistry , adsorption , library science , mineralogy , computer science , geology , soil science , biochemistry
The Constant Capacitance model is shown to provide a quantitative description of o-phosphate adsorption by a variety of aluminum and iron hydrous oxides, including the effect of varying pH values. This model, based on a ligand exchange mechanism for ophosphate adsorption, comprises six adjustable parameters: two surface protonation-dissociation constants, three o-phosphate surface complexation constants, and a capacitance density parameter. The five surface equilibrium constants can be obtained from potentiometric titration data and o-phosphate adsorption data. These constants are independent of pH but, in principle, can depend on the composition of the background electrolyte solution. The capacitance density parameter cannot be obtained directly from experiment. A working value can be chosen on the basis of previous applications of the Constant Capacitance model and other model parameters are not sensitive to this choice. Additional Index Words: anion adsorption, ligand exchange, surface chemistry, o-phosphate. Goldberg, S., and G. Sposito. 1984. A chemical model of phosphate adsorption by soils: I. Reference oxide minerals. Soil Sci. Soc. Am. J. 48:772-778. T REACTIONS between o-phosphates and soils often have been described mathematically with adsorption isotherm equations (Olsen and Watanabe, 1957; Syers et al., 1973; Holford et al., 1974; Fitter andSutton, 1975; Barrow, 1978;Berkheiseretal., 1980; 1 Contribution from the Dep. of Soil and Environmental Sciences, Univ. of California, Riverside, CA 92521. Received 25 Oct. 1983. Approved 14 Mar. 1984. 2 Former Graduate Research Assistant and Professor of Soil Science, respectively. The senior author is presently Soil Scientist, U.S. Salinity Lab., 4500 Glenwood Drive, Riverside, CA 92501. Harter and Smith, 1981; Travis and Etnier, 1981; Mead, 1981). These equations usually are special cases of the expression: (<•) = 2 b,K^ ft 1 + K^ [1] where q(c) is the quantity of o-phosphate adsorbed per unit mass of soil solids, c is the concentration of ophosphate in an aqueous solution phase equilibrated with the soil, and n, bh Kh and /?, are empirical parameters. The best known special cases of Eq. [1] are the Langmuir equation (« = 1, /?, = 1), the two-surface Langmuir equation (« = 2, 0, = /32 = 1), and the Freundlich equation (n = 1, 0<0,<1, A?<^'«1). The application of any particular form of Eq. [1] to 0-phosphate adsorption data commonly is predicated on goodness-of-fit criteria (Holford et al., 1974; Barrow, 1978; Berkheiser et al., 1980; Travis and Etnier, 1981; Mead, 1981), although derivations of the popular adsorption isotherm equations can be given in terms of surface chemical models (Brunauer et al., 1967; Sposito, 1981a, p. 160-165). The difficulty with the model derivations is that they are not unique (Brunauer et al., 1967). Therefore, a given set of model assumptions may be contradicted in a soil even though the equation derived from the assumptions provides a good fit to adsorption data for the soil (Berkheiser et al., 1980; Harter and Smith, 1981). The consensus drawn from recent studies of this nonuniqueness problem is that adsorption isotherm equations should be regarded as strictly empirical equations and that their use constitutes essentially a curve-fitting procedure (Veith and Sposito, 1977; Posner and Bowden, 1980; Berkheiser et al., 1980; Harter and Smith, 1981; Sposito, 1982). GOLDBERG & SPOSITO: A CHEMICAL MODEL OF PHOSPHATE ADSORPTION BY SOILS: I 773 Besides its spurious relationship to the chemical mechanisms of o-phosphate adsorption, Eq. [1] suffers from the practical disadvantage that its parameters must be regarded as unknown functions of pH and ionic strength in the soil solution. The pH value in particular is a well established master variable for ophosphate adsorption reactions (Berkheiser et al., 1980). Its explicit absence from Eq. [1] requires separate experimental determinations of the parameter b = SjLi bf as a function of pH (the "adsorption envelope") as well as the pH-dependence of the Kt and / ? , ( / = 1,...,«). This limitation on the applicability of Eq. [1] has prompted the development of what may be termed chemical models of o-phosphate adsorption (Stumm et al., 1980; Bowden et al., 1980). These models are characterized by an explicit dependence on the master chemical variables of pH and o-phosphate concentration and by parameters that are related directly to an accepted mechanism of o-phosphate adsorption. In this respect, the models represent a conceptual advance over Eq. [1], but they are not regarded as definitive theoretical treatments of ophosphate adsorption reactions. Strong evidence exists in support of the hypothesis that the principal mechanism of o-phosphate adsorption in noncalcareous, nonallophanic mineral soils is ligand exchange with hydroxyl groups (Parfitt, 1978; Mott, 1981; White, 1981). The result of this exchange reaction is the formation of an inner-sphere surface complex (Sposito, 1981b) between an o-phosphate group and a metal cation which was bound to the hydroxyl group. Two models based on inner-sphere complex formation have been developed to describe o-phosphate adsorption on hydrous oxide surfaces. Bowden et al. (1980) have adapted the model of Barrow et al. (1980a) to describe the adsorption of o-phosphate by synthetic goethite (a-FeOOH). In this model, surface charge resides in four planes, each of which is associated with an electric potential determined through classical electrostatic theory and the PoissonBoltzmann equation. Adsorbed protons and hydroxide ions (i.e., protonated and dissociated surface hydroxyl groups) reside in an 5-plane closest to the periphery of the bulk adsorbent. Adsorbed phosphate ions are considered to form inner-sphere surface complexes in an a-plane located a short distance out from the 5-plane. Cations and anions in the background electrolyte solution are permitted to form outer-sphere surface complexes (Sposito, 1981b) in a /3-plane still farther out from the 5-plane. The last plane is the dplane, which indicates the boundary of the diffuse ion swarm. Besides the electric potentials in each plane, the model parameters include "affinity constants" for each adsorbed species, capacitance densities for each pair of consecutive planes, and maximum adsorption densities for the sand a-planes. All of these parameters are adjustable and emphasis in the model is placed on parameter optimization (Sposito, 1984). Ten independent parameters must be adjusted to describe the adsorption of a single o-phosphate species (e.g., HPO;»~) from a background solution of NaCl. This fitting is done with potentiometric titration data taken in the absence of o-phosphate and with o-phosphate adsorption data. Surface charge balance (Sposito, 1981b) is employed as a constraint on parameter adjustment, but surface mass balance is not. The model successfully describes both pH and background electrolyte effects on o-phosphate adsorption by goethite (Bowden et al., 1980; Barrow et al., 1980b). Stumm et al. (1980) adapted the Constant Capacitance model of Schindler and Stumm (Westall and Hohl, 1980; Hohl et al., 1980; Schindler, 1981) to describe the adsorption of o-phosphate by synthetic goethite. The Constant Capacitance model differs from the model of Bowden et al. (1980) in that it assigns adsorbed protons, hydroxide ions and o-phosphate species to the 5-plane and takes no explicit account of the background electrolyte ions. The protonation and dissociation of the surface hydroxyl groups, as well as the adsorption of o-phosphate species, are described in terms of explicit surface chemical reactions. The adjustable model parameters include the conditional equilibrium constants for these reactions and a capacitance density defined as the ratio of surface charge density to surface electric potential. The maximum adsorption density for o-phosphate is assumed to equal the maximum density of protonatable surface hydroxyls determined experimentally. Surface mass balance thus serves as a constraint in model applications, whereas surface charge balance is used only to calculate the surface electric potential. As with the model of Bowden et al. (1980), potentiometric titration data and o-phosphate adsorption data are required to determine the model parameters. Four independent parameters must be adjusted to describe the adsorption of a single o-phosphate species. The Constant Capacitance model successfully describes pH effects on ophosphate adsorption by goethite (Stumm et al., 1980; Sigg and Stumm, 1981). The model also can describe the effect of changing total o-phosphate concentration in the aqueous solution phase without changes in the model parameters. Both of the models discussed represent idealized conceptions of the surface chemistry of hydrous oxides. Despite their differing treatments of the background electrolyte solution, both models give quantitative descriptions of potentiometric titration data (Westall and Hohl, 1980). The ways in which the two models employ innerand outer-sphere surface complexes differentiate them on the molecular level (Sposito, 1983, 1984), but this difference has no effect on goodness-of-fit to proton titration data or o-phosphate adsorption data. Since the o-phosphate ion is larger than the proton or the hydroxide ion, it seems more correct to visualize the phosphate ion farther out from the surface (Bowden et al., 1980). However, this increases the complexity of the model since an adjustable parameter is added for each additional plane of adsorbed charge. The model of Bowden et al. (1980) contains twice as many adjustable parameters as the Constant Capacitance model. Chemical significance suffers when parameters whose values are available from independent experiments are adjusted. Two such parameters in the model of Bowden et al. (1980) are the maximum surface charge density and the maximum adsorption density. Equilibrium constants obtained for the o-phospha