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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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φ = −θ<br />

b<br />

⋅ν<br />

(5-31)<br />

φ<br />

b<br />

= 1.27ν<br />

+ ν<br />

(5-31a)<br />

1<br />

2<br />

φx = −ν 1<br />

(5-31b)<br />

where φ<br />

b<br />

<strong>and</strong> φ x<br />

represent the flow <strong>of</strong> ethanol <strong>and</strong> biomass into the system (C-mol/L<br />

h), respectively. Therefore, by coupling Equations (5-28c), (5-28d) with Equations<br />

(5-31a) <strong>and</strong> (5-31b), the relationship between the flows <strong>of</strong> benzyl alcohol <strong>and</strong> biomass<br />

under steady state <strong>and</strong> continuous mode conditions can be expressed by:<br />

1<br />

φ<br />

b<br />

= ( −φ<br />

x<br />

) + mbC<br />

x<br />

(5-32)<br />

Y<br />

max<br />

bx<br />

where the relations for the defined maximal yields <strong>and</strong> maintenance <strong>and</strong> the metabolic<br />

model parameters (K,δ, m ATP ) are the same forms as indicated in Equations (5-30a) <strong>and</strong><br />

(5-30b).<br />

5.3 Estimation <strong>of</strong> Parameters<br />

5.3.1 Estimation <strong>of</strong> Parameters from Batch Growth Results<br />

In this work, it is assumed that the substrate concentration in the media is rate<br />

controlling according to simplistic non-structured models. Thus, for experiments<br />

conducted in a batch reactor, the overall conversion rates <strong>of</strong> the controlled components<br />

can be represented by<br />

dC<br />

r = (5-33)<br />

dt<br />

where r is the overall conversion rate <strong>of</strong> the key metabolic component (C-mol/L-h), C is<br />

the concentration <strong>of</strong> the key metabolic component (C-mol/L).<br />

93

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