Environmental Engineering Reference
In-Depth Information
Or, if I a is constant
I a ×
f abs , a
M a ,1 ( T )
T
×
C a ,1 ( T )
=
(11.15)
in which
T
=
exposure time [d]
Milk and Egg Concentrations
Contaminant mass in milk or eggs is calculated from the following differential
equation:
dm a ,2
dt
=
k a ×
m a ,1
(11.16)
in which
m a, 2 =
total mass of contaminant excreted by the animal (i.e., mass of contami-
nant in milk produced by cows or eggs produced by hens) [mg]
If I a is constant with time , the calculation of the excreted contaminant mass is as
follows:
1
e ( ka + λ a ) × t
dm a ,2
dt
k a
k a + λ a ×
e ( ka + λ a ) × t
(11.17)
=
f abs , a ×
I a ×
+
k a ×
m a ,1 (0)
×
The solution of this equation can be written as follows:
k a
k a
e ( ka + λ a ) × t
m a ,2 ( t )
=
k a + λ a ×
f abs , a ×
I a ×
+
×
f abs , a ×
I a ×
t
+ λ a ) 2
( ka
(11.18)
k a
e ( ka + λ a ) × t
k a + λ a ×
m a ,1 (0)
×
+
Constant
As m a ,2 (0)
=
0, m a ,2 ( t ), can be rewritten as follows:
( k a + λ a ) m a ,1 (0) -
( k a + λ a )
f abs , s ×
I a
k a
k a
m a ,2 ( t )
=
k a + λ a ×
f abs , s ×
I a ×
t
+
(11.19)
× 1
e ( k a + λ a ) × t
and
m a ,2 ( t )
m a ,2 ( t
T )
=
(11.20)
C a ,2 (
T )
M a ,2 ( t )
M a ,2 ( t
T )
 
Search WWH ::




Custom Search