Agriculture Reference
In-Depth Information
and the associated mass transfer equation as:
∂
im
ρ
∂
im
C
t
S
t
im
+
∂
α−
=(
CC
)
mim
Θ
(8.58)
∂
Let φ denote the total number of vacant sites. The reactions in the dynamic
soil region are:
m
=
K
mm
S
Θ
C
(8.59)
e
e
m
∂
S
k
m
m
=
Θ
mm
−
−
k
C
k S
k S
(8.60)
3
4
k
5
k
∂
t
m
∂
S
t
i
m
=
k S
(8.61)
5
k
∂
For the stagnant region, the reactions are
im
=
K
im
im
S
Θ
C
(8.62)
e
e
im
∂
S
k
im
im
=
Θ
im
im
−
−
k
C
k S
k S
(8.63)
3
4
k
5
k
∂
t
and
im
∂
S
t
i
im
=
(8.64)
k S
5
k
∂
Maximum sorption capacity
S
max
for a given soil is related to the total
vacant sites φ, according to:
m
m
im
im
=+
S
+
S
+
S
+
S
S
(8.65)
max
e
k
e
k
At large reaction time when equilibrium is assumed, the following relations
express the amount sorbed for the dynamic and stagnant regions, respectively:
m
m
mm
mm
S
S
K
Θ
ωΘ
C
S
S
K
Θ
ωΘ
C
e
e
k
k
=
,
=
(8.66)
−
−
1+
1+
max
C
max
C
im
im
im
im
im
im
S
S
K
Θ
ωΘ
C
S
S
K
Θ
ωΘ
C
e
e
k
k
=
,
=
(8.67)
−
−
1+
1+
max
C
max
C
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