Environmental Engineering Reference
In-Depth Information
EXAMPLE 16.1.
Uptake and Growth Calculations
Two species of phytoplankton have the following characteristics:
K
s
V
max
(mg liter
1
)
g liter
1
h
1
)
max (day
1
)
Phytoplankton species
(
Q
0
(g/g)
Anabaena
0.5
3
0.5
0.05
Scenedesmus
0.1
1
0.1
0.01
Problem 1:
Which species will be the best competitor for nutrients (i.e.,
have the highest nutrient uptake rates) when nutrient concentrations are
0.01 and 0.5 mg liter
1
?
The Michealis-Menten equation yields the following results:
0.01 mg liter
1
)
0.5 mg liter
1
)
Phytoplankton species
V
(at
S
V
(at
S
Anabaena
0.059
1.5
Scenedesmus
0.091
0.83
The
Anabaena
will have a competitive advantage at the higher nutri-
ent concentration. The
Scenedesmus
will have the advantage at the lower
nutrient concentration. The curves for this and the following two problems
are presented in Fig. 16.3.
Problem 2:
Which species will have the highest growth rate at [S]
0.01
and 0.5 mg liter
1
?
0.01 mg liter
1
)
0.5 mg liter
1
)
Phytoplankton species
(at
S
(at
S
Anabaena
0.0098
0.250
Scenedesmus
0.0091
0.0833
The
Scenedesmus
has the disadvantage in growth at both substrate
concentrations.
Problem 3:
Which species will have the highest growth at a
Q
of 0.06 and
0.1 g/g?
Phytoplankton species
(at
Q
0.06 g/g)
(at
Q
0.1 g/g)
Anabaena
0.0
0.25
Scenedesmus
0.08
0.09
The
Scenedesmus
will have a competitive advantage at the lower cell
quota because the
Anabaena
cannot grow. The
Anabaena
will have the ad-
vantage at the higher cell quota.
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