and
FeOH) H+ Sr2+ depending on p[H+] and sorbate/sorbent (Sr2+/
FeOH) ratio at 25, 50, and 75oC with the experimental method representing a combination of acid-base potentiometric titrations with metal adsorption data.
Materials
Hematite (
-Fe2O3) (iron(III) oxide of highest grade purity Fe2O3) (REACHIM) was used. The hematite represented a powder consisting of rhombohedric crystalline particles with the average size 5-20
m as well as the fine (< 1
m) fraction. Hematite powder was washed several times with 0.1 M NaCl. Washing was continued until pH became constant.
The specific surface area was determined by the BET Kr adsorption method to be 6.0 m2 g-1. Hematite structure was confirmed using X-ray diffraction.
Diluted HCl and NaOH solutions were prepared and standardized as described earlier (Karasyova et al., 1998). Solutions of SrCl2 were prepared by dissolving weighed amounts of SrCl2 ·
6H2O (BDH Chemicals p.a.). All solutions were prepared using bidistilled and boiled water.
Methods
The present work was performed as series of acid-base potentiometric titrations at 25.0, 50.0, and 75.0 ±0.2oC. The potentiometric cell, titration procedures, calibration and assumption concerning the glass electrode were previously described Nilsson, 1995, Karasyova et al., 1998. All experiments including calibration of the glass electrode were carried out at constant ionic strength, 0.1 M NaCl. Therefore, we use the notation p[H+] (= -log [H+]), rather than pH.
Before each experiment the total concentration of surface hydroxyl groups was determined by titration of suspension with dilute HCl in the region 2.7 < p[H+] < 3.0. It was 2.5 surface hydroxyl groups / nm2. The solid concentration in all experiments was 70 g dm-3. An aliquote of the Sr(II) solution was then added, and the titration continued by diluted NaOH to p[H+] = 10.0 - 10.2. In several titration points, aliquots of the suspension were sampled, and being protecting from the air, then centrifuged. The total concentration of strontium in the aqueous phase was determined by atomic absorption (AAS (Karl Zeiss)).
Data treatment
In the present investigation, the adsorption equilibria are considered as complexation reactions of strontium with surface hydroxyl groups (
FeOH) which are formed on the mineral surface during its contact with the aqueous solution. These surface groups can adsorb protons (or hydroxyl-ions) as well as take part in the complexation with metal ions and ligands.
One should bear in mind that a notation
FeOH is an obvious simplification of the surface structure, on which there are oxygen atoms with the different coordination. However, this relatively simple model is often satisfactory in the modeling of adsorption data.
Strontium adsorption can be presented as one or several reactions with the surface groups:
FeOH + Sr2+ <=>
FeOHSr2+ ,
FeOH + Sr2+ <=>
FeOSr+ + H+ ,
FeOH + Sr2+ + H2O <=>
FeOSrOH + 2H+ ,
2(
FeOH) + Sr2+ <=> (
FeO)2Sr + 2H+ etc.
Since the present work is performed at a constant ionic strength of 0.1 M, to describe the outer-sphere surface complexation of Sr2+ we applied the extended constant capacitance model (ECCM) instead of the triple layer model. This approach is similar to that employed in complexation studies in solution, i.e., outer-sphere complexation of medium ions are not specifically expressed in the equilibrium model. It should be noted that constants evaluated with ECCM are conditional with effects caused by the outer-sphere complexation of medium ions included in the constants.
The surface complexation equilibria in the system
FeOH - H+ - Sr2+ can be written as follows:
FeOH + r Sr2+ <=>
Hp(
FeOH)qSrr(p+2r) ;
inp,q,r (1)
FeOH + r Sr2+ <=>
(Ht(
FeOH)qt
Hp-t Srr(p-t+2r) ;
outp,q,r (2)
inp,q,r and
outp,q,r as defined by the equations (1), (2), and (3) have been corrected for the coulombic energy of the charged surface to obtain corresponding intrinsic constants:
inp,q,r (int) =
inp,q,r e((p+2r)F
(0)/RT) , (3)
outp,q,r (int) =
outp,q,r e(tF
(0)/RT) e((p-t+2r)F
(
)/RT) (4)
(0) is the electrostatic surface potential at the surface plane and
(
) the potential at the
-plane (for weakly bound ions).
o and
, at the surface and the
-plane the following equations are valid (Nilsson,1995):
(
) = (
o +

) / C2
(0) -
(
) =
o / C1 ,
FeOH.
FeOH) H+
FeOH + H+ <=>
FeOH2+ ;
1,1,0 (6)
FeOH <=>
FeO- + H+ ;
-1,1,0 . (7)
| T,oC | -log[H+], range |
log 1,1,0
|
log -1,1,0
| Specific capacitance, F m-2 | V(Y) |
| 25 | 2.7 - 8.5 | 7.48 | -9.53 | 1.22 | 8 |
| 8.5 - 10.2 | 7.39 | -9.59 | 2.49 | 6 | |
| 2.7 - 10.2 | 8.05 | -8.68 | 1.10 | 34 | |
| 50 | 2.7 - 8.1 | 7.30 | -8.91 | 1.00 | 5 |
| 8.1 - 10.2 | 7.28 | -8.94 | 1.62 | 4 | |
| 2.7 - 10.2 | 7.77 | -8.40 | 0.92 | 29 | |
| 75 | 2.7 - 7.8 | 7.45 | -8.10 | 0.83 | 10 |
| 7.8 - 10.0 | 7.37 | -8.23 | 1.44 | 3 | |
| 2.7 - 10.0 | 7.38 | -8.02 | 0.88 | 25 |
FeOH2+ <=>
FeO- + 2H+ ;
-11,1,0
-1,1,0 (8)
1,1,0 - log
-1,1,0) , (9)
FeOH2+ + OH- <=>
FeO- + H+ + H2O K1 , (10)
1,1,0) is practically independent on temperature as the temperature dependence of 1/2 log
-1,1,0 is equidistant to that of 1/2 pKw. This means, that proton adsorption, i.e. reaction with the surface OH-groups, is a process similar to its reaction with hydroxyl-ion in the solution.
FeOH) H+ Sr2+
FeOH, Z versus p[H+] , are plotted in Fig.1, 2, and 3.
Fig.1.
Fig.2.
Fig.3.
The adsorption data are shown in Fig.4,5,and 6.
Fig.4.
Fig.5.
Fig.6.
Like most cations, adsorption of strontium increases with increasing p[H+]. No significant adsorption was observed below
In the case of Sr2+, adsorption at the hematite surface takes place over a p[H+] range where the surface is negatively charged, that is where coulombic forces are attractive. Indeed, in this case a significant electrostatic contribution can be expected, and outer-sphere complexes may be formed as a result.
Thus, there are indications that strontium may form inner-sphere as well as outer-sphere complexes.
Since Sr adsorption occurs mainly in the region above PPZC (8.5), data treatment was based on 20 experimental points with measurements of both soluble Sr(II) and [H+] in the range 8.5 < p[H+] < 10.2, for which we have a reliable acid-base model. The equilibrium constants for the acid-base reactions as well as the surface site density and the value of total capacitance Ctot for the double layer were considered as known parameters and used without modifications (Table 1). The equilibrium constants for the auto protolysis of water at different temperatures (0.1 M ionic strength) were taken from (Baes and Mesmer, 1976).
The evaluation of the model consisted of a test of combinations of complexes with various compositions. Both inner-sphere and outer-sphere as well as monodentate and bridging surface complexes were tested. When combinations with both inner- and outer-sphere complexes tested, we could not reach a minimum of the V(Y) value. It decreased gradually as C1 increased, approaching V(Y) value for a given combination with inner-sphere complexes only. This indicates a collapse of the layer between 0- and
-plane, i.e. Sr adsorbs at the same plane as protons and hydroxyl-ions. Therefore, the Extended CCM based model becomes the same as the ordinary CCM.
The details from the data treatment with inner-sphere complexes only are given in Table 2.
Table 2. Results from optimization of stability constants for combinations of surface complexes in the system
FeOH H+ Sr2+. V(Y) is the overall variance in errors in the mass balances for H+ and Sr2+. All the complexes are the inner-sphere.
V(Y)
| ||||
| N | Combination of surface complexes | 25oC | 50oC | 75oC |
| 1 | 1,2 |
16
1.72; -8.00 |
72
2.50; -6.00 |
100
2.54; -5.18 |
| 2 | 1,3 |
13
1.80; -17.86 |
18
2.85; -15.53 |
25
3.01; -14.16 |
| 3 | 1,4 |
13
1.79; -17.69 |
55
2.77; -15.09 |
83
2.92; -13.68 |
| 4 | 2,3 | without converg. |
69
-5.92; -15.95 |
67
-5.19; -14.46 |
| 5 | 2,3,5 |
12
-8.50; -17.72; 1.82 |
19
-6.29; -15.54; 2.77 |
26
-5.80; -14.06; 2.98 |
| 6 | 2,5 |
15
-7.81; 1.72 |
69
-5.91; 2.49 |
97
-5.13; 2.52 |
| 7 | 3,5 |
12
-17.62; 1.86 |
24
-15.29; 2.92 |
28
-13.95; 3.06 |
| 8 | 4,5 |
12
-17.46; 1.84 |
54
-14.90; 2.83 |
79
-13.52; 2.94 |
| 9 | 2,4,5 | without converg. | without converg. | without converg. |
| 10 | 3,4,5 |
12
-18.20; -17.59; 1.84 |
23
-15.31; -15.87; 2.90 |
28
-13.95; -15.01; 3.05 |
FeOHSr2+; 2 -
FeOSr+; 3 -
FeOSrOH;
4 - (
FeO)2Sr; 5 - (
FeOH)2Sr2+
Based on the data at 25oC only, we can not choose some appropriate model. Indeed, almost all models listed in Table 2 describe satisfactorily the experimental data. This indicate the V(Y) values which fall within the range of a reasonable good fit (Herbelin and Westall, 1994). However, assuming that surface speciation does not change in the temperature range studied, the V(Y) values at 50 and 75oC allow to choose the adequate models. The best fit could be obtained by a model (N2 in Table 2) consisting of the two surface complexes with the overall stoichiometries, defined according to equation (2), (0, 1, 1) and (-2, 1, 1). These stoichiometries can be interpreted as formation of a series of inner-sphere monodentate complexes according to the following equilibria:
FeOH + Sr2+ <=>
FeOHSr2+
in0,1,1 (8)
FeOH + Sr2+ + H2O <=>
FeOSrOH + 2H+
in-2,1,1 . (9)
A good fit was also obtained with the models (NN 5 and 10 in Table 2) each consisting of three inner-sphere surface complexes with the following stoichiometries:
N5: (0, 2, 1), (-1, 1, 1), (-2, 1, 1)
N10: (0, 2, 1), (-2, 1, 1), (-2, 2, 1).
A formation of surface complexes with these stoichiometries can be described by the following equations:
FeOH + Sr2+ <=>
FeOSr+ + H+
in-1,1,1 (10)
2
FeOH + Sr2+ <=> (
FeOH)2Sr2+
in0,2,1 (11)
2
FeOH + Sr2+ <=> (
FeO)2Sr + 2H+
in-2,2,1 . (12)
A model similar to N5 (Table 3): (-1, 1, 1), (-2, 1, 1), (0, 2, 1) was obtained by Ali and Dzombak, 1996 from fitting of Ca adsorption data sets using FITEQL. Nevertheless, a formation of the bidentate complexes on the hematite surface should be declined by the following consideration. The Sr atom has eight water molecules in its hydration sphere. It is coordinated to a total 8 oxygen atoms at 2.6 Å
and lies at the center of a cube. Therefore, a distance between O atoms along the edge of a square is 3 Å
. A distance between the reactive OH-groups (Fe-Fe or O-O) is 5.03 Å
, i.e. the surface of hematite appears to be a poor template for the bidentate binding of Sr, as opposed to the goethite surface where the distance between nighboring reactive OH-groups is 3.04 Å
and closely matches the distance between O-atoms in hydration sphere of Sr. Hence, the models with the bidentate surface complexes (NN 5 and 10) were rejected.
Thus, the model we propose here consists of two monodentate surface complexes, as is summarized in Table 3.
Table 3. The proposed model for the surface complexation of Sr on hematite (I = 0.1 M NaCl).
| T, oC |
log 0,1,1
|
log -2,1,1
| V(Y) | |||||
|
Sr + H
data |
Sr
data only |
Sr + H
data |
Sr
data only |
Sr + H
data |
Sr
data only |
Ctot
F m-2 |
Site density
nm-2 | |
| 25 | 1.80 ± 0.02 | 1.82 ± 0.05 | -17.86 ± 0.05 | -17.88 ± 0.07 | 13 | 16 | 2.49 | 2.85 |
| 50 | 2.84 ± 0.02 | 2.79 ± 0.03 | -15.53 ± 0.02 | -15.56 ± 0.03 | 18 | 2 | 1.62 | |
| 75 | 3.01 ± 0.02 | 2.96 ± 0.03 | -14.15 ± 0.02 | -14.15 ± 0.03 | 27 | 13 | 1.44 | |
Formation constants given in Table 3 increase between 25 and 75oC. These temperature-dependent constants and the van't Hoff equation bel
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