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This article was downloaded by: [UQ Library]On: 05 November 2014, At: 12:29Publisher: Taylor & FrancisInforma Ltd Registered in England and Wales Registered Number:1072954 Registered office: Mortimer House, 37-41 Mortimer Street,London W1T 3JH, UK
Communications in SoilScience and Plant AnalysisPublication details, including instructions forauthors and subscription information:http://www.tandfonline.com/loi/lcss20
Kinetics of potassiumdesorption by Alfisols ofGreeceA. Ioannou a b , A. Dimirkou a , M. Doula a &Ch. Paschalidis aa Department of Chemistry , University ofAthens , Panepistimiopolis‐Zografou, Athens,15771, Greeceb 14 Thermopillon Street, Pallini, 15344,GreecePublished online: 11 Nov 2008.
To cite this article: A. Ioannou , A. Dimirkou , M. Doula & Ch.Paschalidis (1994) Kinetics of potassium desorption by Alfisols of Greece,Communications in Soil Science and Plant Analysis, 25:9-10, 1355-1372, DOI:10.1080/00103629409369120
To link to this article: http://dx.doi.org/10.1080/00103629409369120
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COMMUN. SOIL SCI. PLANT ANAL., 25(9&10), 1355-1372 (1994)
KINETICS OF POTASSIUM DESORPTION BY ALFISOLS OF GREECE
A. Ioannou,1 A. Dimirkou,2 M. Doula2 and Ch. Paschalidis2
University of Athens, Department of Chemistry, Panepistimiopolis-Zografou Athens15771, Greece
ABSTRACT: Kinetics of K desorption was studied on Alfisol Haploxeralf
samples of central Greece. Calcium-saturated samples were equilibrated with
different potassium concentrations and pH for 96 hours at pH 5.0, 6.0, 7.0 and 8.0
and initial potassium concentrations of 7, 35, 54 and 112 ppm. Samples were
continuously leached with 0.01 M CaCL2 until K was not detected in the leachate.
Desorption was nearly complete in approximately 3 to 4 hours for the Alfisol
Haploxeralf. When the initial K concentrations varied between 0-7, 7-35, 35-54
and 54-112 ppm, then approximately 95-97%, 93-98%, 75-96% and 18-75%,
respectively, was subsequently desorbed from Alfisol Haploxeralf samples. Three
mathematical models (first order, power function and parabolic diffusion) were
used to describe cumulative potassium release at different values of pH and
initially adsorbed K. Comparisons of coefficients of determination (r2) indicated
that the first order, power function and parabolic diffusion equations adequately
described cumulative potassium release for all studied pH and initially adsorbed
potassium. Apparent potassium desorption rate coefficients (k) ranged from 4.3 x
10-3 to 11.43 × 10-3 min-1. The magnitude of the k values decreased as adsorbed
1 Postal address of the corresponding author: A. Ioannou, 14 Thermopillon Street,Pallini, 15344, Greece.
2 National Agricultural Research Foundation, Soil Science Institute of Athens, 1 S.Venizelou Street, Lycovrissi, 141 23, Greece.
1355
Copyright © 1994 by Marcel Dekker, Inc.
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1356 IOANNOU ET AL.
potassium and pH increased. Finally all the studied models were transformed to
pH-dependent forms.
INTRODUCTION
Equilibrium reactions existing between solution and exchangeable phases
of soil K profoundly influence K chemistry. The rate and direction of these
reactions determine whether applied K will be leached into lower soil horizons,
absorbed by plants, converted into unavailable forms or released into available
forms. Little has appeared in the literature concerning the kinetics of K desorption
in soil systems at different values of adsorbed potassium and pH. A knowledge
of the reaction rates between solution and exchangeable phases of soil K at pH
5.0, 6.0, 7.0 and 8.0 is necessary in order to predict the fate of added K fertilizer
in soils and to properly make K fertilizer recommendations.
Soil K desorption has been described by several equations. Simple first-
order equations were used by Jardine and Sparks (1984), Munn et al. (1976),
Ogwada and Sparks et al. (1985), Sparks and Jardine (1981) and Sparks et al.
(1980) to describe K desorption over short time periods (< 1000 h) from several
soils, while Talibudeen et al. (1978) used three simultaneous rate terms. In
contrast, Feigenbaum et al. (1981) described K desorption kinetics from three
micas (biotite, muscovite and phlogopite) by a parabolic diffusion rate equation.
The modified Elovich and power-form equations have also been used to describe
K desorption from soils (Havlin et al., 1985; Martin and Sparks, 1983), although
their applications have been limited to long time periods (> 1000 h) and
nonexchangeable K release.
Feigenbaum and Levy (1977) studied K release in 0.01 M CaCl2 and
deionized H2O extracts from two soils with relatively high K contents. The amount
of release was greater from the soil having a high portion of total K in the silt
fraction. Talibudeen et al. (1978) observed that the rate of release of soil K was
linearly proportional to time172. They assumed uniform distribution of K in
spherical particles and developed planar diffusion models for K release from the
surface and from peripheral layers in these calculations. Surface K ceased to
contribute to K release after 24 hours and peripheral K after 840 hours
(Talibudeen and Day, 1968). Arnold (1959) used saturated resins containing either
Ca or Na concentrations-in excess of exchangeable soil K to investigate desorption
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KINETICS OF K DESORPTION 1357
Table I. Soil taxonomic classification and particle size distribution of the soil.
Taxonomic
classification
Alfisol
Haploxeralf
Depth
cm
0-50
Sand
%
16
Silt
%
14
Clay
%
70
of K. Equilibrium of K exchange between the soil and the resin was attained in
about 96 hours. Selim et al. (1976) proposed that a kinetic reaction existed
between soil solution and exchangeable K with a first order desorption rate
coefficient (kd).
Sparks et al. (1980) studied the kinetics of K adsorption from solution to
exchangeable phases for two Dothan soils. Equilibrium of K exchange was
reached in 2 hours with the 5 and 25 ng/ml K solution and in about 24 hours with
the 100 ng/ml K solution. This slow rate of K exchange was attributed to
diffusion-controlled exchange in these soils with vermiculitic mineralogy. The
adsorption rate coefficients ranged from about 0.7 to 22.0 hours"1 and generally
decreased at higher initial concentrations of solution K. The objectives of this
study were to determine the time, pH and initial concentration dependencies of
potassium desorption by Alfisols Haploxeralf samples. To this end we measured
the potassium desorption capacity and the apparent reaction rate coefficients of
desorption using an initial K concentration range of 7 to 112 ppm and a solution
pH range of 5.0, 6.0, 7.0 and 8.0. Kinetic results were compared using the first
order, Elovich and parabolic diffusion models.
MATERIALS AND METHODS
Soils Studied: Studies were performed on soil located in central Greece. The
taxonomic classification is given in Table I. Physical and chemical properties of
the studied soil are given in Table II. The sample was air-dried and crushed to
pass a 2-mm sieve. Particle size analysis was determined by the pipette method
(Kilmer and Alexander, 1949). Organic matter was determined by the Walkley-
Black (1934) method, and cation exchange capacity by a MgCl2 saturation with
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1358 IOANNOU ET AL.
Table II. Physical and chemical properties of soil.
Sample
Alfisol
Haploxeralf
Liquid
Limit
68
EC
mmhos/cm
<3
pH
1:2
7.8
C.E.C
meq/100g
42
CaCO3
eouiv.
%
2.6
Organic
matter
%
0.8
Exchangeable
K meq/lOOg
0.80
after Ca-
sa tura tion
treatment
CE.C
48.25
after
Ca-saturatíon
treatment
pH
7.1
subsequent displacement by CaCl2 (Okazaki et al., 1963; Rich, 1962). The
exchangeable K was determined following extraction by 1 N ammonium acetate,
pH 7. The electrical conductivity (E.C.) was measured in a saturated paste of the
soil. The pH measurements were obtained from a 1:2 soil/water mixture. The
CaCO3 equivalent was determined by treatment with dilute acid and the volume
of released CO2 measured by the Bernard calcimeter.
Sample Preparation: Prior to initiation of the kinetic desorption studies,
subsamples from the soil were Ca-saturated using 1 N CaCl2. The soil was
subsequently washed with deionized water, followed by 1:1 acetone-H20 mixture
until a negative test for Cl" was obtained with AgNO3. The soil was saturated with
Ca; as in most mineral soils, this is one of the predominant cations. Also, by first
saturating with this cation, most exchangeable K was removed from the soils. The
saturated sample was air-dried and crushed to pass a 2-mm sieve. Soil pH was
measured on Ca-saturated samples using 1:2 soil/water mixtures. The C.E.C. of
Ca-saturated samples was ascertained by displacement with 1 N MgCl2. The
quantity of Ca in solution was measured using atomic absorption spectro-
photometry.
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KINETICS OF K DESORPTION 1359
Kinetics of Desorption Studies: Desorption studies were carried out using
triplicate 1-g Ca-saturated samples, which were placed in 100-ml polypropylene
centrifuge tubes with 30-ml of 11, 58, 90 and 195 ug K/ml solution and 20 ml of
buffer solution at pH levels of 5.0, 6.0, 7.0 and 8.0. The suspension was shaken
for 19 hours at 25°C on a reciprocating shaker. At the end of the equilibration
period, the 50-ml suspension was filtered and all the filtered aliquot was collected
for the determination of the quantity of K on exchange sites at zero time of
desorption. Afterwards the sample on the filter paper was leached with 0.01 M
CaCl2. The CaCl2 was passed through the soil and the milliliter aliquots were
collected every 15 min. until K was not detected in the leachate for the
determination of K on soil exchange sites at time t of desorption. Potassium in the
leachate was determined by flame photometer.
Three mathematical models were used to describe the kinetics of K
desorption by Alfisol Haploxeralf samples.
1. The first order equation described by Havlin et al. (1985):
log — = log a - kt (la)Xo
If A = loga and k = B, then
log *L = A - Bt (lb)Xo
where Xt = quantity of K on soil exchange sites at time t of desorption, Xo =
quantity of K on exchange sites at zero time of desorption, t = time in minutes
and k = desorption rate coefficient in min'1, k is determined by the slope of log
(Xt/Xo) vs. t (Figures 1 and 2). A was determined by the intersection of the plot
log (Xt/Xo) versus t. The pH-dependent equations of desorption rate coefficient
(k) were derived from the plots of k vs. pH for each initial K concentration (Table
IV).
2. The power function equation as described by Havlin et al. (1985)
inX = a + b Int (2)
In equation 2, X is the amount of K desorbed (ug K/g soil) at time t, a and b
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1360 IOANNOU ET AL.
v •
-0,5-
-1 -
-2 •
Co =
^ ^
1 ; 1— 1 1—; 1-
7 ppm
1 —1 1—
• pHSOpH6ApH7OpH8
" ^ O
—1 1
20 40 60 80 100 120
Time .minutes
140 160 180 200
Figure 1. Log (Xt/Xo) vs. time of leaching with 0.01 M CaCl2 from AlfisolHaploxeralf for pH 5.0, 6.0, 7.0, 8.0 and initial K concentration of 7 ppm.
50 100
Time .minutes
150 200
Figure 2. Log (Xt/Xo) vs. time of leaching with 0.01 M CaCl2 from AlfisolHaploxeralf for pH 5.0, 6.0, 7.0, 8.0 and initial K concentration of 112 ppm.
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KINETICS OF K DESORPTION 1361
constants. The values of a and b were determined by the slopes and intercepts of
the plot InX vs. Int for studied amount of K adsorbed and pH. The square of
linearity coefficient (r2) was used for comparison of the goodness of fit.
3. The parabolic diffusion kinetic model in the following form:
%X = a + Ulß (3)
In this equation, %X is the percent of potassium desorbed at time t, a and b
constants. The values of a and b were determined by the slopes and intercepts of
the plot %X versus tm.
RESULTS AND DISCUSSION
Potassium desorption in the studied soil conformed to first-order kinetics
(Figures 1 and 2). The first-order rate equation described K desorption for an
average of 180 min. for Alfisol Haploxeralf Ca-saturated samples. The first-order
rate equation described K desorption well (r2 = 0.993)(Table III). The finding that
the kinetics of K desorption is first-order supports the proposal by Selim et al.
(1976). The A, B or k, r2 values for every studied initial concentration and pH are
given in Table III.
The desorption rate coefficient values (k) ranged from 4.3 x 10'3 to 11.4
x 10'3 min.'1 for Alfisol Haploxeralf. Since the plots of B or k constants versus pH
for studied concentrations gave r2 > 0.997, the pH-dependent form of B or k is
represented in Table VI.
The kinetics of K desorption was 2-3 hours slower than the kinetics of K
absorption. This would be expected due to the difficulty in desorbing K from
partially collapsed interlayer positions (Sawhney, 1966). Once K is adsorbed into
the interlayer positions, the coulombic attraction between K ions and the clay
layers would be greater than the hydration forces of the ions, resulting in partial
layer collapse (Sawhney, 1966). The observation of slower desorption than
adsorption conforms with the finding of others (Kuo and Lotse, 1973) and
suggests that the K kinetic reactions in Alfisols Haploxeralf were nonsigural or
that hysterisis could be occurring (Ardakani and McLaren, 1977; Rao and
Davidson, 1978).
Potassium desorption as plotted by the power function equation (Havlin et
al., 1985) for all studied pH and initial potassium concentrations (Figures 3 and
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1362 IOANNOU ET AL.
Table III. Intercept and slope values (A, B) of the first-order kinetic model andcorrelation coefficient (r2) at different, pH, initial concentration andadsorbed K.
Co
ppm
7
35
54
112
72
pH
5.0
6.0
7.0
8.0
5.0
6.0
7.0
8.0
5.0
6.0
7.0
8.0
5.0
6.0
7.0
8.0
C*
pgK/g
122
160
198
236
871
957
1043
1129
1264
1371
1478
1585
2607
2821
3035
3249
A
-0.106
-0.106
-0.105
-0.105
-0.096
-0.085
-0.083
-0.760
-0.082
-0.079
-0.079
-0.840
-0.077
-0.064
-0.045
-0.059
k o r B
11.4x10-3
9.0xl0-3
8.0x10-3
6.6xlO-3
10.3x10-3
8.9x10-3
7.5x10-3
6.1xlO-3
9.8x10-3
8.6x10-3
7.1x10-3
5.6xlO-3
7.8x10-3
6.8x10-3
5.7x10-3
4.3x10-3
r2
0.998
0.998
0.998
0.988
0.999
0.999
0.999
0.998
0.999
0.999
0.999
0.999
0.998
0.997
0.996
0.997
0.998
C* : adsorbed potassium pgK/g soil at t=0
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KINETICS OF K DESORPTION 1363
Table IV. Intercept and slope values (a, b) of the power function model andcorrelation coefficient (r2) at different, ph, initial concentration andadsorbed K.
Co
ppm
7
35
54
112
r2
pH
5.0
6.0
7.0
8.0
5.0
6.0
7.0
8.0
5.0
6.0
7.0
8.0
5.0
6.0
7.0
8.0
C*
pgK/g
122
160
198
236
871
957
1043
1129
1264
1371
1478
1585
2607
2821
3035
3249
a
3.62
3.61
3.61
3.59
5.38
5.28
5.16
4.95
5.68
5.54
5.35
5.21
6.01
5.79
5.56
5.58
b
0.240
0.280
0.320
0.360
0.280
0.310
0.350
0.390
0.287
0.328
0.377
0.407
0.362
0.415
0.465
0.496
r2
0.932
0.953
0.977
0.983
0.953
0.965
0.983
0.996
0.958
0.966
0.971
0.991
0.967
0.973
0.986
0.995
0.972
C* : adsorbed potassium ugK/g soi! at t=0
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1364 IOANNOU ET AL.
Table V. Intercept and slope values (a, b) of the parabolic diffusion model andcorrelation coefficient (r2) at different, ph, initial concentration andadsorbed K.
Co
ppm
7
35
54
112
r2
pH
5.0
6.0
7.0
8.0
5.0
6.0
7.0
8.0
5.0
6.0
7.0
8.0
5.0
6.0
7.0
8.0
C*
pgK/g
122
160
198
236
871
957
1043
1129
1264
1371
1478
1585
2607
2821
3035
3249
a
48.034
39.700
31.292
22.886
40.500
32.729
24.900
16.300
37.423
29.260
21.350
14.115
24.472
15.455
7.290
1.973
b
4.135
4.780
5.280
5.675
4.740
5.232
5.600
6.000
4.939
5.470
5.861
6.063
5.753
6.263
6.545
6.405
T2
0.845
0.904
0.938
0.963
0.897
0.928
0.960
0.979
0.917
0.937
0.962
0.981
0.943
0.956
0.979
0.991
0.943
C* : adsorbed potassium pgK/g soil at t=0
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KINETICS OF K DESORPTION 1365
Table VI. The equations of k of the first-order rate model as a function of pHfor each initial K concentration and r2 values.
Co
ppm K
7
35
54
117
k = f(pH)
0.0195-0.0016pH
0.0173-0.0014pH
0.0169-0.0014pH
0.0137-0.0012pH
T2
0.998
0.999
0.997
0.994
6 y
5 • •
4 • •
3 • •
2 • •
1 • •
O •-
Co = 7 ppm
• pH 5OpH 6ApH7OpH 8
3
kit
Figure 3. Power function kinetics for potassium desorption at 25°C using 0.01M CaCl2 from Alfisol Haploxeralf as a function of lnt at ph 5.0, 6.0, 7.0, 8.0 andinitial K concentration of 7 ppm.
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1366
8,1 • •
7,9-
7 , 7 • •
Iß ••
7,1 • •
6,9 -
IOANNOU ET AL.
Co = 112 ppm
3.5
• pH 5OpH7
4,5 5,5
Int
Figure 4a. Power function kinetics for potassium desorption at 25°C using 0.01M CaCl2 from Alfisol Haploxeralf as a function of lnt at ph 5.0 and 7.0 and initialK concentration of 112 ppm.
4) showed that desorbed K. increased as initial K concentrations and pH increased.
The a, b and r2 values for every studied initial K concentration and pH are given
in Table IV. The linearity of the plots InX vs. lnt (Figures 3 and 4) and r2 = 0.972
proved that potassium desorption conformed to the power function equation. Since
the plots of a and b versus pH for studied initial concentrations gave r2 > 0.957,
the pH-dependent forms of a and b are represented in Table VII.
That diffusion was the predominant mechanism of K desorption in this soil
for all studied initial K concentrations and pH is illustrated in Figures 5 and 6.
The r2 values for the comparison of goodness to fit and a and b constants of the
equations of the percent of K desorbed as a function of square root of time are
given in Table VI. These data agree with Barshad (1954), who ascribed a linear
relationship between time"2 vs. % K desorption to diffusion-controlled exchange.
There was some deviation in linearity of the diffusion plots during the initial
period of K desorption and low adsorbed K for soils (Figures 5 and 6). Chute and
Quirk (1967) note that diffusion-controlled exchange may not be strictly obeyed
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KINETICS OF K DESORPTION 1367
8,1 j
7,9 -•
7,7 •
7.5 . -
73 ••
7,1
6.9
Co = 112 ppm
O
3,5 4,5
Int
• pH 6OPH8
5,5
Figure 4b. Power function kinetics for potassium desorption at 25°C using 0.01M CaCl2 from Alfisol Haploxeralf as a function of lnt at ph 6.0 and 8.0 and initialK concentration of 112 ppm.
Table VII. The equations of a and b of the power function model as a functionof pH for each initial K concentration and r2 values.
Co
ppm K
7
35
54
117
7
35
54
117
~ 2
a
3.666-0.009pH
6.109-0.141pH
6.496-0.162pH
6.708-0.149pH
b
0.040+0.040pH
0.092+0.037pH
0.084+0.041pH
0.141+0.045pH
r2
0.853
0.968
0.997
0.864
r2
0.999
0.996
0.992
0.987
0.957
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1368 IOANNOU ET AL.
100 i
90 •8 0 •
7 0 •
6 0 •
SO •
4 0 •
30 •
2 0 •
1 0 •
Co = 7 ppm
0 2 4
0•A
V6
Time
S•A
8
, minutes
A
10
Î I \
• pHSOpH6
APHB
12 1
Figure 5. Percent K desorption vs. time"2 for Alfisol Haploxeralf at pH 5.0, 6.0,7.0, 8.0 and initial K concentration of 7 ppm.
100 i90 •
80 -
70 •
60 •
50 •
40 -30 •
20 -10 •
(
Co = 112
) 2 4
ppm
•O•A
6
VTime,
O•A
8
minutes
O A
A A
A
10
6 2A AA
• pH5OpH6ApH7
12 1
Figure 6. Percent K desorption vs. time"2 for Alfisol Haploxeralf at pH 5.0, 6.0,7.0, 8.0 and initial K concentration of 112 ppm.
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KINETICS OF K DESORPTION 1369
Table VIH. The equations of a and b of the parabolic diffusion model as afunction of pH for each initial K concentration and r2 values.
Co
ppm K
7
35
54
117
7
35
54
117
T2
a
89.982-8.385pH
80.886-8.043pH
76.129-7.783pH
61.478-7.566pH
b
1.640+0.512pH
2.697+0.415pH
3.137+0.376pH
4.787+0.224pH
r2
0.999
0.999
0.999
0.988
r2
0.988
0.996
0.963
0.700
0.954
during the initial period of K desorption. This could be due to mass action
exchange at sites on external surfaces and by (Helfferich, 1962) the initial
curvilinear relationship due to release of K from the external planer surface sites,
suggesting that film diffusion was the rate-controlling process. In our study the
percent of K desorption increases by increasing pH but decreases by increasing
adsorbed K. Since the plots a and b versus pH for studied initial concentration and
pH gave r2 > 0.954, the pH-dependent forms of a and b are represented at Table
VIII.
CONCLUSIONS
The general conclusions of this study were:
L All the studied models described potassium desorption as evidenced by the
high linearity coefficients.
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2. The desorption rate coefficient of the first-order rate equation decreases by
increasing initial K concentration and pH.
3. The desorbed K increase by increasing initial potassium concentration and
pH.
4. The percent of K desorption decreases by increasing pH values.
5. The percent of K desorption decreases by increasing initial K concentration.
6. All the studied models could be transformed to pH-dependent forms since
all the pH dependent forms of constants k, a and b have high r2 values.
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