Experimental Study of Biodegradation of Ethanol and Toluene Vapors

C
e
DKe
= (5-63)
μ − D
m
Equation (5-63) shows that at steady state, the ethanol concentration in the reactor is
independent of the substrate feed concentration. This is true for any functional
relationship μ = μ C ) . However, if µ depends on the concentration of one of the
(
e
metabolic products, then C e will also depend on the feed concentration, C e0 .
The following equations are applied in the prediction of continuous removal of
ethanol.
Q( yin
− yout
) F(
Ce0 Ce
)
φ −
e
=
+
(5-42a)
V
V
−
F( C − C ) 0
x x
φ
x
=
=
V
μC
x
(5-42b)
C
x
φ ⋅Y
= μ
max
e ex
( + me,
c
)
(5-43)
Considering Equations (5-42a), (5-42b) and (5-43) at steady state, the biomass
concentration is a function of dilution rate and can be represented by:
C
x
Q
max
[ ( yin
− yout
) + D(
Ce,0
− Ce
)] ⋅Yex
=
V
(5-64)
( m + D)
e,
c
Since ethanol was introduced into the reactor by the gas stream not the liquid stream
(C e0 = 0), and ethanol in the effluent gas stream is negligible (y out = 0), then Equation
(5-64) becomes:
C
x,
ss
Q
max
[ ( yin
) − DCe
] ⋅Yex
=
V
(5-65)
( m + D)
e,
c
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