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Experimental Study of Biodegradation of Ethanol and Toluene Vapors

Experimental Study of Biodegradation of Ethanol and Toluene Vapors

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Considering r<br />

x<br />

= μ ⋅C<br />

x<br />

3K<br />

− 0.905<br />

3δ<br />

− 0.5<br />

3m<br />

3δ<br />

− 0.5<br />

ν ATP<br />

3<br />

= ⋅ rx<br />

+ ⋅C<br />

(D-3)<br />

x<br />

Therefore, the oxygen consumption rate becomes:<br />

−<br />

ν 3K<br />

− 0.905 3m<br />

C<br />

x<br />

6δ<br />

−1<br />

6δ<br />

1<br />

(D-4)<br />

ATP<br />

r<br />

o<br />

= 0.5<br />

3<br />

= ( ) rx<br />

+ ( )<br />

2<br />

−<br />

Carbon dioxide production rate is:<br />

r<br />

co<br />

0.27<br />

α<br />

(<br />

− δ − 0.135<br />

)<br />

3δ<br />

− 0.5<br />

K − δ − 0.135<br />

(<br />

3δ<br />

− 0.5<br />

m<br />

3 − 0.5<br />

1E<br />

ATP<br />

= ν<br />

1<br />

+ ν<br />

2<br />

=<br />

rx<br />

=<br />

) ⋅ rx<br />

+ ( )<br />

2<br />

δ<br />

(D-5)<br />

Ammonium consumption rate is:<br />

r = −0. 2<br />

(D-6)<br />

N<br />

r x<br />

⋅ C<br />

x<br />

The overall conversion rate <strong>of</strong> ethanol becomes:<br />

−<br />

− 0.635 + 2δ<br />

+ K<br />

= (<br />

)<br />

ATP<br />

r<br />

e<br />

rx<br />

+ ⋅C<br />

x<br />

= rx<br />

+<br />

max<br />

3δ<br />

− 0.5 3δ<br />

− 0.5 Yex<br />

(<br />

m<br />

)<br />

1<br />

m C<br />

e<br />

x<br />

(5-15)<br />

Equation (5-15) describes the amount <strong>of</strong> ethanol required for the production <strong>of</strong> biomass<br />

<strong>and</strong> maintenance.<br />

The macroscopic yield <strong>and</strong> maintenance factors can be defined by the<br />

introduction <strong>of</strong> the following equations:<br />

r<br />

e<br />

= 1 rx<br />

+ msC<br />

x<br />

(D-7)<br />

Y<br />

ex<br />

r = 1 r + m C<br />

o<br />

x o x<br />

(D-8)<br />

2<br />

Yox<br />

r = 1 r + m C<br />

co<br />

x c x<br />

(D-9)<br />

2<br />

Ycx<br />

186

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