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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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r t<br />

r x<br />

-1.27 -1 0 1<br />

0 0 0 -1<br />

1 0 0 0<br />

θ<br />

bt<br />

= r N<br />

= -0.2 0 0 0<br />

r<br />

o 2<br />

0<br />

r co2<br />

2<br />

−<br />

7<br />

-0.5<br />

0.27 1 0 0<br />

rATP<br />

-α11 0 δ 0<br />

13<br />

1<br />

r<br />

NADH<br />

1.084 -1 −<br />

7<br />

7<br />

1<br />

− (5-51)<br />

7<br />

The rates <strong>of</strong> reactions (5-18), (5-25), (5-11) <strong>and</strong> (5-50) are ν 1 to ν 4 , <strong>and</strong> can be<br />

expressed by the rate vector ν r :<br />

⎡ν<br />

1 ⎤<br />

r ⎢ ⎥<br />

ν = ⎢<br />

ν<br />

2 ⎥<br />

(5-51a)<br />

⎢ν<br />

⎥<br />

3<br />

⎢ ⎥<br />

⎣ν<br />

4 ⎦<br />

By writing out the compound balances for each <strong>of</strong> the eight compounds (benzyl<br />

alcohol, toluene, biomass, ammonia, oxygen, carbon dioxide, ATP <strong>and</strong> NADH 2 ), the<br />

following nine linear relations are obtained:<br />

r r<br />

r θ ⋅ν<br />

+ φ<br />

(5-52)<br />

= bt<br />

where φ r is the vector <strong>of</strong> flow, <strong>and</strong> r r is the vector <strong>of</strong> the overall conversion rates <strong>of</strong> the<br />

compounds.<br />

For continuous operation at steady state, r = 0 , thus the following equations can<br />

be obtained from Equation (5-52):<br />

r r<br />

φ = −θ<br />

bt<br />

⋅ν<br />

(5-53)<br />

φ<br />

b<br />

= 1.27ν<br />

1<br />

+ ν<br />

2<br />

−ν<br />

4<br />

(5-53a)<br />

116

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