Copper Adsorption as a Function of Solution Parameters of Variable Charge Soils

Os efeitos do pH e da força iônica (I) sobre a adsorção de cobre (Cu) e a força direcional da reação em solos com cargas variáveis foram avaliados a partir de experimentos tipo “batch”. Os resultados foram ajustados pelo modelo de Langmuir e, de acordo com as isotermas de adsorção, a afinidade de Cu (K L ) foi maior nas amostras do subsolo (0,061-0,468 L kg) do que na camada superficial (0,169-0,359 L kg). A adsorção máxima variou de 1114-2422 mg kg (superfície) a 1002-1334 mg kg (subsolo). Foi observada forte dependência da adsorção de Cu em relação ao pH nas amostras do subsolo, com nítido aumento da retenção de Cu (20-90%) no intervalo de pH do solo entre 4,0-5,0. A adsorção de Cu foi alterada pelo aumento da I e indicou diferentes mecanismos (esferas interna e externa) de retenção do metal. A reação foi favorável e espontânea, conforme indicado pelos valores negativos da variação da energia livre ( G) e pelo fator de separação K R < 1. A interface solo-solução e a adsorção de Cu foram termodinamicamente descritas por uma abordagem teórica.


Introduction
Copper (Cu) is an internal transition metal found naturally in the soil in concentrations that vary from 2 to 100 mg kg -1 .These contents correspond to the lithogenous fraction that, when released from the crystalline structures in the rocks by weathering processes, become part of the natural biogeochemical cycle. 1 Anthropogenic sources have acted on the redistribution and increase in the metal transfer rates among the various compartments of ecosystems.Because it is an excellent heat and electricity conductor, Cu has been used on a large-scale by modern industrialized society as the main element of several metal alloys, such as bronze and brass.
Copper has also been used in pigments, catalyzers, solvents and various agricultural products, which include fertilizers, pesticides and some growth promoters in animal feed. 2 Copper is a micronutrient that participates in bioecological cycles and meets the criteria of being essential to the full development of live beings.In plants, Cu acts as a structural element in proteins, participates in electron transport during photosynthesis, in the cell wall metabolism and as a cofactor of various enzymes. 3In higher animals, lack of Cu can cause bone dysfunctions, anemia and heart and gastrointestinal disturbances, while lung fibrosis and liver cancer are some of the chronic effects of overexposure to Cu. 2 The improper disposal of urban and industrial wastes derived from the processing and recycling of Cu and its by-products have created an increase in the quantity of Cu released in the soil.Under these conditions, Cu assumes a toxic characteristic because its admission to the food chain Vol. 19, No. 5, 2008   has been facilitated.Its mobility and bioavailability in the soil depend on the increase of its concentration in the soil solution, from where the metal can be absorbed by plants or translocated through leaching to the underground water sheets.Its persistence or its mobility in soil involve sorption, desorption, precipitation, complexation, oxy-reduction and dissolution reactions. 4Although all these reactions may occur simultaneously, adsorption mechanisms are known to be determinant in the control of metal availability and solubility in the soil. 5nterest in the adsorption phenomena of metal ions by surfaces with pH dependent charges has increased recently, as an effort to increase understanding of the dynamic of these contaminants in tropical environments.In the case of Cu, the agronomic interest concerns its availability, while regarding the environmental and public health aspects, its retention in the soil is desirable.In soils with reversible interfaces, adsorption changes in response to variations of solution parameters, such as the pH and ionic strength (I). 6[9][10][11] However, while solubility of some metal ions (e.g.Ni and Cd) is strongly controlled by the pH, Cu retention does not seem to depend on this parameter alone. 9Besides pH, the organic matter is the most important factor that controls the performance of metal ions in soil. 12Organic complexes are particularly important in Cu retention by the soil under a wide variety of conditions, [13][14][15][16] that influence the adsorption 7 and desorption of the metal. 175][26] Metal adsorption by soil (oxy) hydroxides has been identified as the main mechanism by which the metals are retained by the inorganic constituents of weathered soils. 12,19,27Even so, sufficient data has not yet been gathered on Cu adsorption by soils with variable charges in the wet tropics that would ensure the implementation of consistent techniques for prevention/ remediation of soil contamination.
Conceptual and quantitative models have been developed to prognosticate the fate and transport of metals in soil.Adsorption isotherms are more simplified approaches that describe the relationship between the adsorption concentrations and concentrations in solution and that supply quantitative parameters of the process, providing important data on the retention capacity and the metal affinity by the soil. 28,293][34][35] Some information on thermodynamic modeling was obtained for the adsorption reaction of some metal ions by homogeneous surfaces, such as the oxidic interfaces, 20,[36][37][38] but data on thermodynamics of the Cu adsorption reaction by soils are still limited.As the metal distribution between liquid and solid phases is a measure of the position of equilibrium in the adsorption process, the states of this system can be defined by a set of thermodynamic properties that can serve as measures of the extension and spontaneity of the adsorption reaction. 39he objectives of this study were to investigate the parameters of the Cu adsorption reaction by soils with a predominance of Fe and Al (oxy)hydroxides in their mineralogy and to assess the directional force of this reaction by studying thermodynamic parameters in function of the variation in the pH and the ionic strength.

Soil characterization
(Electro)chemical, physical and mineralogical characterization of soil samples was performed in fine air-dried soil samples, sieved through 2 mm mesh, according to well-established methods for soil analysis described in Camargo et al. 41 and Raij et al. 42 Organic carbon (OC) contents were quantified by the classical Walkley-Black method, oxidizing the organic matter with K 2 Cr 2 O 7 in the presence of H 2 SO 4 , followed by titration of excess K 2 Cr 2 O 7 with Fe 2+ ions obtained from a standardized ferrous ammonium sulfate solution.The pH was determined potentiometrically in both H 2 O and 1 mol L -1 KCl suspensions (1:2.5 soil:solution ratio) using a combined glass-calomel electrode.The difference pH = pH KCl -pH H2O was used as an estimate of the charge balance. 43Samples were investigated using the cesium (Cs + ) adsorption method, which measures both structural permanent and variable charges and is based on the preference of Cs + over Li + in the siloxane surface sites and the lower selectivity of ionizable surface group for the Cs ion. 44Basic cations (BC = Ca, Mg, K and Na) were extracted by ion exchange resin.Calcium and Mg contents were determined by flame atomic absorption spectrophotometry and Na and K amounts were determined by flame atomic emission spectrophotometry.Exchangeable Al was extracted by 1 mol L -1 KCl solution and determined by titration with 0.025 mol L -1 ammonium hydroxide.Effective cationic exchange capacity (ECEC) was estimated by the summation method (ECEC = BC + Al).The Fe, Al and Si contents, associated to the secondary minerals, were extracted using ). 45Particle analysis was performed by the pipette method, 46 based on decantation speed of different soil particles after dispersion in 0.015 mol L -1 (NaPO 3 ) 6 .NaO/1 mol L -1 NaOH by overnight shaking.BET N 2 adsorption method was used to measure the specific surface area (SSA). 47Kaolinite and gibbsite contents were semi-quantified by differential termal analysis (DTA) in deferrified clay fraction free of organic matter. 48Soil attributes are given in Table 1.

Batch mode adsorption studies
Adsorption laboratory batch type experiments were carried out after adding 30 mL Ca(NO 3 ) 2 electrolytic solution, containing Cu as hydrated nitrate salt [Cu(NO 3 ) 2 .3H 2 O], to 3.00 g of fine earth air dried (1:10 soil:solution ratio).The set was placed in polyethylene flasks and shaked at 150 osc min -1 for 24 h at 24 ± 2 o C. The suspension was filtered and the remaining Cu concentration was determined by flame atomic absorption spectrometry.Adsorption isotherms were elaborated for soil samples at the natural pH (control) from experiments with increasing Cu concentrations ranging from 5.0 to 200.0 mg L -1 and Ca(NO 3 ) 2 0.01 mol L -1 as electrolyte support.Under similar experimental conditions, adsorption envelopes were constructed by the ratio %Cu ads vs. pH, after adjusting the pH by adding 4 mol L -1 HCl or NaOH in the suspensions containing 5 mg L -1 Cu in 0.01, 0.1 and 1.0 mol L -1 Ca(NO 3 ) 2 electrolyte support, for the simultaneous assessment of the pH and ionic strength effects on the Cu adsorption reaction.Previous trials were carried out to verify the volume of 0.04, 0.4 and 4.0 mol L -1 HCl and NaOH solutions to be added to reach the desired pH variation (3.0 to 8.0), so as not to exceed 2% of the volume of the electrolyte support.Analytical high-purity (Merck ) grade reagents were used throughout.Solutions were prepared using deionized water and all determinations were run in triplicate.

Thermodynamic parameters of Cu adsorption reaction
In most studies, adsorption is modeled in function of temperature to obtain the reaction enthalpy. 32Some studies with trace metals have shown that the adsorption mechanism, including the intensity of the process (measured by the Langmuir Ads max parameter) was slightly altered by temperature, and generally any conclusion made about the phenomenon at 25 °C applies equally well to other temperatures. 50Studies on the thermodynamics of the adsorption reaction consider the activity of the element instead of the concentration, to obtain the standard thermodynamic equilibrium constant (K c o ) of the system: 32 (4)   where a ads and a sol represent the activity of the chemical species in the adsorption phase and in solution, respectively.In this experiment, the activity coefficients were taken as unitary, due to the low solute concentration (5.0 to 200.0 mg L -1 ) and the negligible ionic strength of the electrolyte support [0.01 mol L -1 Ca(N0 3 ) 2 ], as the Debye-Hückel equation predicts. 51The activity, a, is related to the concentration, C, by the expression: and if the mean coefficient of the ion activity, ± , is equal to the unit, equation 4 can be re-written as: 52 (6)   where K eq is the apparent thermodynamic equilibrium constant of the system.With the use of diluted solutions, whose activity coefficients are close to the unit (equation 5), the system follows the ideally diluted solution model for which the effects of differentiated interactions between the solvent and the solid unit can be disregarded, as guaranteed by the Henry's law.For these solutions, the K c o standard equilibrium constant can be considered equivalent to the apparent equilibrium constant (K eq ). 53The equivalency between K c o and K eq can be represented by the exchange reaction of Ca for Cu on kaolinite surface: 23 (7)   The equilibrium constant for the reaction is: (8)   where: C 0 is the initial Cu concentration and X is the adsorbed Cu concentration, which in turn is equal to the concentration of desorbed Ca.
The contact between solid phase and the species present in solution can occur under conditions of equilibrium or not and, 51 in both cases, adsorption reactions can be described mathematically by the Gibbs free energy variation: 23,33-35 (9) where G is the variation of the free energy (J mol -1 ); R is the universal constant of the gases, 8.314 J mol -1 K -1 ; T is the absolute temperature (K); and the difference (logC eq logC 0 ) represents the equilibrium constant of equation 8.
Characteristics of the Langmuir isotherm can be expressed in terms of the separation factor or equilibrium parameter, K R , a one-dimensional constant that indicates whether the adsorption reaction was favorable or not, by the ratio: 35,54,55  (10)  where K L is the affinity constant estimated by the Langmuir equation (equation 3).

Soil attributes
The Oxisol subsoil samples presented ZPSE values greater than the pH of the soil and resulted in a positive equilibrium charge, as confirmed by the pH values.In the first 125 cm of depth, the Oxisols also presented effective cation exchange capacity (ECEC) less than 15 mmol c kg -1 of clay and pH KCl 5.0, meeting the requirements for the manifestation of the acric properties. 40These soils were found close to the end of their pedogenetic development cycle.They had undergone intense desilicatization because of the prolonged weathering action that was reflected by the low ki values (Table 1).
High H / o ratios showed the predominance of variable charges in the acric Oxisols, as expected because the main constituents of the solid phase of these soils are organic matter, kaolinite and Fe and Al oxides, whose surface charge varies according to pH and ionic strength of the system.The Rhodic Acrudox presented the highest Fe and Al contents extracted by sulfuric acid and by CBD-Na solutions, which corresponded to the contents present in the structure of the secondary minerals and to those regarding the crystalline forms, respectively.Rhodic Acrudox, when compared to Xanthic Acrudox and Rhodic Hapludalf, presented higher and similar contents of little crystalline iron oxides, respectively, which corresponded to the more reactive oxide species with greater specific surface.
The decrease in the H values with depth was attributed to the decrease in organic matter content, the main source of variable negative charges in wet tropical soils.In the absence of organic matter, Fe and Al surfaces are responsible for maintaining about 50% of the reversible charges.High permanent and variable charge values were found in RH that conferred greater charge density.This occurred in consequence of the less advanced weathering stage of RH, whose ki value indicated less intense silica loss, justifying both its greater kaolinite contents and the occurrence of clay minerals of the 2:1 type [interstratified chloride/vermicullite and vermicullite (results not shown)], responsible not only for the manifestation of permanent charges but also for the increase in the specific surface area (SSA).Gibbsite contents were particularly high in the Oxisols, and the occurrence of this mineral has implications on the magnitude of the electrical charges, especially in the deeper horizons, where the OC contents are small.Regarding the clay fraction of the soils, Rhodic Acrudox, because it was the most weathered, presented greater crystalline (Fe d ) and amorphous (Fe o ) Fe oxide contents, followed by RH.Also very weathered, Xanthic Acrudox presented low oxide contents because of its smaller clay content.

Adsorption isotherms at natural pH
Figure 1 shows Cu adsorption isotherms by weathered soils at the natural pH and constant ionic strength of 0.01 mol L -1 Ca(NO 3 ) 2 .Copper adsorption increased as more concentrated solutions of the metal were added (Figure 1).However, the increase in the concentration was accompanied by a decrease in adsorption, mainly in the Oxisols and much less expressively in the Alfisol.At concentrations between 1 and 10 mg L -1 , Cu exhibit high affinity for adsorption surfaces. 56Copper adsorption process probably occurred in two stages, with the saturation of two different sets of adsorption sites.With the increase in the Cu concentration, more sites were occupied and retention became ever more difficult. 24,57This performance of Cu retention was best evaluated by categorizing of the isotherms according to their typical shape. 58,59Isotherms fitted to the Oxisols were L-type, regardless of sampling depth (Figure 1).
L-type isotherms are more commonly found in soil adsorption studies and are characterized by a small initial inclination that does not increase with the concentration of the solute in the solution.The isotherm of the RA subsoil sample could be classified as C-type, that expresses the proportional increase in the adsorption surface as adsorption increases, maintaining a constant equilibrium of the solute concentration in solid and liquid phases of the soil (Figure 1).C-type representations are typical of experimental conditions at low solute concentration.If some higher concentrations had been added, certainly the isotherm would reach its point of curvature, tending to the asymptotic performance of the L-type isotherm.
H-type adsorption isotherms were clearly identified in the RH, especially in the topsoil sample (Figure 1).The sharp initial inclination of the H-type isotherm shown by RH suggested high affinity of the soil for Cu, as a result either of surface complexation mechanisms of the inner-sphere type, or significant adsorption processes mediated by van der Waals interactions. 59Normally, only the initial phase of the isotherm is characterized by a strong inclination, that corresponds to the population of sites with greater energy. 24his showed the high affinity of RH for Cu, compared to the Oxisols.The adsorption of cations more strongly retained by the soil, such as Cu and Pb, tend to be represented by H-type isotherms 9 .Nascimento and Fontes 31 fitted Cu adsorption by Oxisols according to H-and L-type isotherms.Rodda et al. 20 reported that Cu adsorption by goethite at pH 5.0 was characterized by a sigmoidal isotherm, that assumed the more usual shapes after pH 5.5.
Langmuir equation, whose original derivation considered the forces involved between the adsorbed species and the adsorption surface, leading to the formation of a monolayer of the metal on active sites of a homogeneous surface, adequately simulated the experimental results of Cu adsorption, according to other studies on Brazilian soils. 24,30,57The experimental results obtained for RH showed greater adherence to the Langmuir isotherm, when compared to the Oxisols, that showed more deviations among the observed and the simulated results with increase in the Cu concentration added.The adsorption parameters, Ads max and K L , derived from the fit of the experimental results by the Langmuir isotherm, showed that Cu adsorption varied according to the soil and sampling depth (Figure 1).In the case of RH, the isotherms did not become asymptotic (Figure 1) and the maximum adsorption was estimated by the non-linear fit of the least squares of the Langmuir equation.Values of Ads max of Cu in the topsoil and subsoil layers ranged from 1114 (XA) to 2422 mg kg -1 (RH) and from 1002 (RA) to 1334 mg kg -1 (RH), respectively (Figure 1).These values were lower than those reported by Sodré et al. 30 and Silveira and Alleoni, 24 but were very similar to those reported by Nascimento and Fontes. 31In the subsoil, RH maintained the greater capacity to adsorb Cu (1541 mg kg -1 ), keeping practically the same value observed in the topsoil (Figure 1).These variations were associated with the soil type, especially to the mineralogy.Silveira et al. 60 observed that the presence of high kaolinite contents in the RH accounted completely for the Cu adsorption mechanisms, because the elimination of the organic matter from this soil did not cause statistical differences in the adsorption results.Except for XA, high values for Ads max were found in topsoil samples and may be correlated with the organic carbon content (Table 1).
Copper adsorption capacity of RA was reduced by half with the increase in depth.Silveira et al. 60 reported considerable decrease in Cu adsorption after eliminating the organic matter from acric soils.
Apparently, organic matter increased Cu adsorption, ratifying results of some studies. 24,31,61The K L affinity constants (Figure 1), which represent the combined effect of all the reactions that occur at the solid/liquid surface, 37 indicated that the affinity for Cu was high, both with the organic matter on the topsoil and with the oxides in the subsoil.Organic matter in the soil may act both in the solid phase of the soil, as a source of pH dependent changes or by the formation of Cu chelates, and in the soil solution, by the formation of organic Cu complexes, affecting its adsorption. 12Thus, organic matter does not always favor heavy metal adsorption by the soil.However, Cu organic complex is less toxic but offer greater risk as a pollutant because of its greater mobility.Furthermore, the organic material in the subsoil had less influence and allowed greater exposure mineral surfaces, that are hidden in topsoil because of the strict association among Fe and Al oxides, gibbsite and kaolinite with organic compounds.Surface functional groups of Fe, Al and Mn oxides are very selective for Cu adsorption, making highly stable inner-sphere complexes. 17,18,60,61

Adsorption envelopes: the influence of soil pH on Cu adsorption
2,63 For oxidic interfaces, that represent well the solid-solution interface of highly weathered soils, there is a critical pH interval, generally smaller than two units, where the metal adsorption percentage can increase clearly from an extremely low value, in low pH values, to up to 100%, in high pH values.This critical interval, known as the adsorption edge, is related to the hydrolysis constant of the metallic ions.Adsorption envelope, represented graphically by the ratio % ads vs. pH, showed the relative removal of Cu from the solution, at constant ionic strength of 0.01 mol L -1 Ca(NO 3 ) 2 and at initial fixed Cu concentration of 5 mg L -1 (Figure 2).
Copper adsorption did not show strong dependence on the pH in the topsoil samples.At pH 3.5, 70-80% of the total Cu added was adsorbed.Adsorption increased in a small interval of one pH unit between 4.0 and 5.0, a range considered by Jordão et al. 57 as ideal to study the phenomenon of metal retention.Over pH 5.0, all Cu initially added disappeared from the soil solution.Cavallaro and McBride 8 reported that in soils with pH less than 2.5, Cu competed with protons for adsorption sites.However, at pH over 4.5, more charged sites were available for Cu, due to the decrease in competition for protons, while at pH between 4.0 and 6.0, Fe and Al oxides were the main causes of fixation and solubilization. 8arrow et al. 27 reported that Cu tended to be adsorbed at pH values lower than Cd, Zn and Co.The degree by which the metals are hydrolyzed is probably the main factor that determines the quantity of metal retained at a given pH. 12Adsorption can vary drastically because of the different metal species (e.g.Cu 2+ compared with CuOH + ) and organic complexing can increase, suppress or present imperceptible effect on metal adsorption, depending on the pH.The effect of organic anions on Cu adsorption performance in soils with variable charges is still little understood and, although it is very difficult to generalize about the influence of organic complexing on metal adsorption, it is known that the organic treatments widely influence Cu adsorption. 26Increase in the pH generally decreases the quantity of Cu organically complexed in the soil solution, that means alterations for species with greater affinity for adsorption. 63Rodda et al. 20 presumed that Cu 2+ , Cu(OH) + and Cu 2 (OH) 2 2+ were the dominant species that compete for adsorption sites on the goethite surface.Hydrolyzed species are preferentially adsorbed and thus the first hydrolysis product, MOH + , is usually in the predominant concentration. 23,64However, Rodda et al. 20 concluded that the dimer species [Cu 2 (OH) 2 2+ ] were the main hydrolysis product in the pH interval where accelerated adsorption occurred.
The proportion of adsorbed ions increased uniformly and continually with the increase in the pH, but the shape of the curve and its position depended on the soil identity, especially regarding its mineralogical constitution (Figure 2).The adsorption pattern was very similar for the Oxisols samples, as shown by the shape and position of the adsorption edges (Figure 2), even when overlapped in the case of the Oxisol subsoil samples (Figure 2).The adsorption edges that represented Cu adsorption by the Oxisols subsoil samples exhibited the typical sigmoid shape (Figure 2).The atypical shape of the adsorption edge of topsoil and subsoil RH samples suggested that Cu adsorption was qualitatively different.For a given type of adsorption surface, the adsorption edge is a function of the affinity and normally it is argued that this affinity is high when adsorption occurs at low pH values, as verified for RH, in the subsoil, and for all topsoil samples (Figure 2).

Thermodynamic approach of Cu adsorption reaction Theoretical description of the solid/solution interface and of Cu adsorption
The application of thermodynamics to describe phenomena requires selection of the studied system, which means isolating parts of the universe of interest to a restriction level that does not permit the transference of energy to the medium that surrounds it.Under field conditions, the soil performs as a very dynamic system, and the need to isolate the system is only met under controlled laboratory conditions.For didactic purposes, the soil is considered a system composed of the solid, liquid and gaseous phases, but while useful for some purposes, this concept does not characterize a chemical, physically homogeneous and mechanically separable region, understood by thermodynamics as phase.
These considerations explain the absence of criteria to apply thermodynamic parameters in heterogeneous systems such as the soil. 32,51As normally the liquid phase also does not meet the requirement of homogeneity, it is admitted that the solid solution system, whose interface is of interest because it bases the chemical reactions that govern metal bioavailability, it is in a constant state of lack of equilibrium.However, this apparent imbalance does not imply neglecting the thermodynamic bases, whose principles allow the determination of which processes are more energetically favorable, even in dynamic systems such as the soil. 51lthough the soil is considered a complex system, its mineral composition becomes more simplified when exposed to prolonged conditions of high temperature and humidity.Extreme weathering conditions intensify the desilicatization and favor the accumulation of Fe and Al oxides, which together with kaolinite, are typical minerals of weathered soils in the wet tropics (Table 1).Electrical charges develop on the surface of these minerals either by the dissociation of H + ions from the surface hydroxyl groups or by the combination of these groups with H + ions present in the solution: 65 (11)   where M represents a metal (Fe or Al) of an oxide structure, generating charged Fe-OH or Al-OH groups.The amphoteric performance, that is, the reversibility capacity of charges, is characteristic of soil oxides, because the loss or the incorporation of an H + ions can charge the surface negatively or positively (equation 11).
Although there are about 80 metallic elements in the periodic table, only 20-30 ions can exist independently in the aquometal form, that is, partially hydrolyzed metallic ions, in the soil solution. 12Electropositive metals, when in contact with the water solution, are aquocomplexed from a simple hydrolysis reaction: (12)   Transition metals, such as Cu, may undergo a series of electrolytic related reactions: 12 (13) (14)   where m is the metal charge, z is the coordination number, related to the number of the solvation molecules, and y is the quantity of H + released.Thermodynamic studies on the adsorption reaction generally consider all the reactions involved, that include hydrolysis in solution and subsequent adsorption of the products of this reaction. 20he complete description of the system culminates in the interaction between the solid phase and the metallic species present in the liquid phase, which is established by the adsorption phenomenon.Metal adsorption is not necessarily a single process, that involves one species, one equilibrium or one mechanism. 64Copper can be adsorbed electrostatically (outer-sphere complex), it can be specifically adsorbed on the Fe and Al (oxy)hydroxides surfaces (inner-sphere complex) or it can be complexed by organic matter: 66 Outer-sphere complexes between bivalent hydrated metal ions and pH dependent charged sites: (15)   Inner-sphere complexes at the variable charged sites (16)   Chelated complexes between metal and amino acid group in the organic matter: 67 (17)   where … represents weak attraction of the metal ion to the oxide surface.
The process described by equation 16 has been identified as the one that occurs most frequently in Cu adsorption on inorganic surfaces, while equation 17 shows the strong interaction of Cu with organic matter compounds. 23,61It is a slow reversibility reaction under natural conditions, since it is a process that involves much energy because of the partially covalent links (inner-sphere) with the structural metal cations of the surface. 49he thermodynamic approach of a system, whether in equilibrium or not, requires that the transformations it undergoes be mediated by reversible processes.However, reversibility is an ideal concept that can never be reached because, theoretically, it should take an infinite time to occur.However, reversibility of the interaction between Cu and the different adsorption surfaces has not yet been clarified, because while for some soils the adsorption isotherm corresponded to the desorption isotherm, in others the Cu desorption was hysteretic. 25The manifestation of charges on the amphoteric colloidal surfaces, such as the Fe and Al oxides, occurred through reversible processes that depended on the soil solution pH (equation 11).However, the nature of the Cu species that occurred in the soil solution was also directly dependent on the pH of the system (equations 12, 13 and 14).Thus the two components of the soil solution system, that is, the colloids and Cu species in solution, have modifications of a reversible nature, through the influence of the pH.Which must be thoroughly clarified is that even though Cu adsorption is mediated by more energetic reactions, in systems of variable electric charges these phenomena can be reversed by alterations in the pH, and in this way, the reversibility of the Cu adsorption reaction by soils with variable charges meets the requirements of thermodynamics.

Thermodynamic parameters of Cu adsorption reaction Separation factor (K R )
Preliminary data concerning the degree of development and spontaneity of the adsorption reaction can be obtained from assessing K R separation factor (equation 10), calculated from the K L Langmuir constant (equation 3).According to a more simplified approach, 35,55 adsorption is favorable and spontaneous when K R < 1, while values of K R > 1 indicate lack of spontaneity in the reaction.The K R coefficient can further indicate whether the adsorption isotherm is unfavorable to the process (K R > 1), linear (K R = 1), favorable (K R < 1) or irreversible (K R = 0). 54he K R values decreased with the increase in the initial Cu concentration and were always less than 1 (Figure 3), confirming some results obtained for metal cation reactions. 54is indicated that the adsorption reaction was more favorable for high initial Cu concentrations (C 0 ) and that it was processed spontaneously, further indicating that all the soils had good systems for Cu retention, in the following order: RH > RA = XA, on the topsoil, and RH > XA > RA, in the subsoil.Except for RA, the separation factor was not a very sensitive parameter for sampling depth (Figure 3).For RA, K R values were lower for the topsoil samples, indicating that Cu adsorption developed more spontaneously in the presence of organic matter.
The K R parameter is sensitive to the hydrated radius of the ions 35 and under conditions that the adsorption experiments to construct isotherms were carried out, that is, at natural pH of the samples (pH between 4.0 and 5.5), low K R values seemed to be in line with the predominance of Cu hydroxilated species, whose hydration radius was less than the Cu free species, or further with the occurrence of specific Cu adsorption mechanisms, because the formation of inner-sphere-type complexes did not allow the interposition of water molecules on the solid-solution interface and justified the adsorption of species with smaller hydration radius and quantitatively characterized by low K R values (Figure 3).

Variation in Gibb´s free energy ( G) of Cu adsorption reaction
G indicates the degree of spontaneity of the adsorption process, and the highest values (in module) reflect a more energetically favorable adsorption reaction.The negative G values (Figure 4) were coherent with the K R values (Figure 3) and confirmed the viability and the spontaneous nature of Cu adsorption by highly weathered soils.The adsorption reaction is generally spontaneous for metal elements by organic and inorganic surfaces of pure or isolated systems. 23The spontaneity of the Cu adsorption reaction by weathered soils, similar to Cd and Zn by synthetic oxidic surfaces, 38 was characterized by negative free energy values of the reaction.
When increasing concentrations of the elements are added to the soil, the G value can show the magnitude of the extension of the reaction between the elements and the adsorption surfaces. 33,35Thus, negative G values implied that the reaction should be occurring in the direction of product formation, that is, towards adsorption reactions.The more negative the G, the greater is the driving force for adsorption to occur.The G values decreased with the increase in the quantity of Cu added.Doula et al. 23 considered that the initial Cu concentration was an important factor that influences the adsorption process, which is extremely spontaneous only at low initial Cu concentrations.The decrease in the free energy of the Cu, 23,33 Cd 34 and B 35 adsorption reactions by highly weathered soils with the increased concentration led to the conclusion that the more concentrated the solution, the less spontaneous the reaction became.However, the G values were negative for all the concentration range (Figure 4) and in addition to the reaction spontaneity, this indicated that the sorbed forms were more stable than those in solution. 35igure 4 again shows the influence of the pH, this time on the spontaneity of the adsorption reaction, after adding 5 mg L -1 Cu.G values increased in all the samples with the increase in the pH, showing not only that Cu adsorption increased with increase in pH (Figure 2), but also that the reaction was favored with the decrease in the hydrogenionic concentration (Figure 4).For the 5 mg L -1 Cu concentration and 0.01 mol L -1 Ca(NO 3 ) 2 ionic strength, maximum G values (average of the two horizons) were reached around pH 4.0 in the Alfisol ( 4.1 kJ mol -1 ) and close to the pH 5.0 in the RA ( 4.4 kJ mol -1 ) and the XA ( 4.6 kJ mol -1 ) (Figure 4).
Copper adsorption was also assessed regarding the alterations in the electrolyte support concentration, using the variation in the free energy as numerical parameter of the reaction (Figure 4).In the subsoil samples, to the pH that occurs with the maximum variation in the free energy, the G values increased even more when the electrolyte support concentration changed from 0.01 to 0.1 mol L -1 Ca(NO 3 ) 2 , mainly in the XA, wich reached 6.2 kJ mol -1 .In the topsoil samples, maximum G values also increased with the increase in the ionic strength when the support solution of 1.0 mol L -1 Ca(NO 3 ) 2 was used (Figure 4).
The dependency of metal adsorption in relation to the ionic strength can supply indications of the formation of inner and outer-sphere complexes with the colloidal surface. 68Many studies have considered the effect of cations and anions of the electrolyte support on metal adsorption, mainly regarding the competitive effect of Ca for adsorption sites and by the action of the anions in the formation of complexes with less affinity for the surface. 68Starting at pH 4.5, even though it was not very apparent, it was observed that Cu adsorption began to become dependent on the ionic strength.Increased ionic strength may have caused the increase in the competition between Ca and Cu for electrostatic adsorption sites (equation 15).As much of the Cu was adsorbed at low pH, the metal probably competed less intensely for nonspecific adsorption sites, which enhanced the effect of the ionic strength.At pH around 5.0, where almost all the Cu was adsorbed, the competition between Ca and Cu for nonspecific sites was more intense because of the higher Cu concentration.With the increase in the ionic strength, Ca was adsorbed preferentially by the sites because of its greater concentration.Thus, Cu may have been adsorbed only by specific adsorption sites that sustained the increase in the G values with the increase in the ionic strength, since the reaction became more spontaneous because it involved more energy (Figure 4).The absence of dependency on adsorption regarding the ionic strength was more evident in the XA samples.The adsorption dependency of the Alfisol in relation to the ionic strength was also not very evident (Figure 4), but occurred at lower pH, because of the probable decrease in the cation repulsion in function of the manifestation of the permanent charges ( H ) still present (Table 1).On the other hand, lack of dependency of metal adsorption in relation to the ionic strength gave an indication of complexing by inner-and outer-sphere mechanisms, typical of transition metal elements.Generally, specific adsorption mechanisms are accompanied by release of H + ions to the soil solution, as a result of their displacement so that great energy linking occurs between the surface and the metal ion.Alteration in the pH of the final extract after adsorption may be an indication that specific adsorption had taken place with greater frequency (Figure 5).
Mesquita and Vieira e Silva 69 reported that the pH in the equilibrium solution, after Cu and Zn adsorption, decreased as the concentration of the metal in the initial solutions increased, due to metal hydrolysis and proton release during adsorption.If it is accepted that inner-and outer-sphere complexing (equations 15 and 16) is the predominating mechanism, it seems reasonable to accept the hypothesis that, in the case of Cu adsorption, the effective pH is more critical in determining the metal species in solution because of its action on hydrolysis, and not in determining the surface charge.
The free energy of the adsorption reaction can be decomposed into three components: 70 G coul , the electrostatic component; G chem , the chemical component, and G int , the interaction component, that gives more specificity to the electrostatic component, that is: (18)  Vol. 19, No. 5, 2008   In systems with variable electric charges, as in the case of the acric Oxisols (RA and XA), where the metal ions can be adsorbed both by electrostatic mechanisms (equation 15) or by specific mechanisms (equations 16 and 17), G chem and G coul are important components. 70n the case of Cu, electrostatic forces can represent an insignificant contribution to the adsorption free energy and can be replaced by chemical reactions with the surface.Thus, the free energy of the Cu adsorption reaction seems better reproduced by the G chem component.
Generally, Oxisols presented higher G values than Alfisols, which indicated that Cu adsorption was more favored in the more weathered soil.Studies on Cu and Co adsorption by kaolinite showed that the enthalpy at the variable charge sites can be seven times greater compared to the permanent charge sites, 50 which means that sites with variable charges are more important in metal adsorption.

Conclusions
In soils with high pollutant load, the objective of remediation treatments is to effectively reverse the bioavailability of Cu.This study characterized and quantified the ability of extremely weathered soils to reduce the Cu concentration in the soil solution.Langmuir equation simulated adequately the experimental results of Cu adsorption and provided informative parameters of Cu maximum adsorption (Ads max ) and affinity (K L ) by the highly weathered soils.Thereby, Langmuir model can be used to prognosticate the performance of Cu in soils with similar attributes to those in this study.The decrease in the bioavailability of Cu contents in the soil solution did not show strong dependence on the pH.Copper adsorption was high even under highly acid soil conditions, but the process was intensified with the decrease in the hydrogenionic concentration, presenting a fast and clear increase in the 4-5 pH interval, because of the low hydrolysis constant of the metal.Soil pH management as a way to remedy areas contaminated by Cu can be a promising technique because of it is efficient and cheap.The results of the present study indicated that highly weathered soils presented organic and mineral constituents that could reduce the Cu concentration in the soil solution by adsorption mechanisms.Greater soil adsorption capacity (Ads max ) can be reached in the topsoil layers, because of the additional availability of adsorption sites on the surface of the organic colloids and the high affinity of Cu to form chelated complexes with the organic matter.In the absence of organic matter, Cu retention may decrease in quantitative terms, but the affinity with the soil colloids remained stable, due to the affinity with both organic and inorganic colloids, especially with the oxides.In addition chemical and mineralogical attributes, organic matter content of the soils should always be considered as important criteria in selecting disposal areas or areas to apply residues containing Cu, to minimize soil contamination and the impact on the environment.Residues, effluents and agricultural chemicals applied to the soil can contain a series of chemical species in solution and frequently the electrolytic concentration will be greater than that found in the soil solution, and can cause decrease in Cu adsorption, in quantitative terms, without affecting the retention force and spontaneity of the reaction of this element with the soil.According to the thermodynamic parameters, Cu was adsorbed by the soils by energetically favorable and spontaneous reactions throughout the concentration and pH ranges studied.The investigation of Cu adsorption was reflected by the values in the variation in the free energy ( G), whose negative sign indicated the exergonic nature of the reaction, with energy release for conversion of the less stable forms of Cu in solution into adsorbed forms with greater stability.With the increase in the pH, the G became more negative as a result of the increase in the driving force for the adsorption reaction to take place, especially in the 4-5 pH range.The spontaneity of the reaction was confirmed by the separation coefficient values (K R ), which together with the G results, were important indications that weathered soils supply important surfaces for Cu immobilization, especially with the more expressive action of organic matter.

Figure 2 .
Figure 2. Cu adsorption envelopes for topsoil and subsoil samples of highly weathered soils.

Figure 3 .
Figure 3. Separation factor (K R ) as a function of the added (C 0 ) Cu concentration to the soils, at natural pH.

Figure 4 .
Figure 4. Effect of soil solution parameters (pH and ionic strength) on the free energy of the Cu adsorption reaction by weathered soils.

Figure 5 .
Figure 5. Final pH of equilibrium solution after adding increasing Cu concentrations.