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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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2<br />

r 0.<br />

o<br />

= − ν<br />

2<br />

− 5ν<br />

2 3<br />

(D-17)<br />

7<br />

co<br />

= 0.27ν 2 1<br />

+ ν<br />

2<br />

r (D-18)<br />

Solving Equations (5-28f) <strong>and</strong> (5-28d) simultaneously, the reaction rates for the<br />

second <strong>and</strong> third reactions (see reaction Equations (5-25) (5-11) in Section 5.2.2), ν 2<br />

<strong>and</strong> ν<br />

3<br />

, can be expressed as a function <strong>of</strong> the biomass synthesis rate (r x = ν 1<br />

) as:<br />

1<br />

ν<br />

2<br />

= ( α1<br />

b<br />

−1.084δ<br />

) ⋅ν<br />

1<br />

(D-19)<br />

13<br />

( δ )<br />

7<br />

ν<br />

α<br />

1b<br />

3<br />

= ⋅ν<br />

1<br />

δ<br />

(D-20)<br />

Combination <strong>of</strong> Equations (D-19), (D-20) with Equations (5-28a) to (5-28d) by<br />

mATP<br />

considering Equation (5-4): α1 E<br />

= K + , the following relations can be obtained:<br />

μ<br />

r<br />

( K + 1.274δ<br />

)<br />

r<br />

(13/ 7) δ<br />

m<br />

⋅C<br />

(13/ 7) δ<br />

ATP<br />

−<br />

b<br />

=<br />

x<br />

+ [ ]<br />

x<br />

(5-29)<br />

− r = 0. 2<br />

(D-21)<br />

N<br />

r x<br />

− r<br />

(8.5K<br />

− 2.168δ<br />

)<br />

13δ<br />

r<br />

8.5<br />

13δ<br />

m<br />

C<br />

o<br />

=<br />

⋅<br />

x<br />

+ ⋅<br />

ATP<br />

⋅<br />

2 x<br />

(D-22)<br />

r<br />

co2<br />

( K − 0.584δ<br />

)<br />

=<br />

⋅ r<br />

13<br />

( δ )<br />

7<br />

x<br />

mATP<br />

+ ⋅C<br />

13<br />

( δ )<br />

7<br />

x<br />

(D-23)<br />

Considering the same equation forms as Equations (D-7) to (D-9), the following<br />

relations can be drawn:<br />

1<br />

max<br />

Y bx<br />

( 1.274δ<br />

)<br />

= K +<br />

(13/ 7) δ<br />

(5-30a)<br />

188

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