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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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5.6.3 Theoretical Predictions <strong>of</strong> Steady State Simultaneous Removal <strong>of</strong> <strong>Ethanol</strong> <strong>and</strong><br />

<strong>Toluene</strong> Mixtures<br />

For the growth on the mixture <strong>of</strong> ethanol/toluene or benzyl alcohol/toluene,<br />

toluene acts as a growth inhibitor only (Bailey <strong>and</strong> Ollis, 1986; Chang et al, 1993;<br />

Bielefeldt <strong>and</strong> Stensel, 1999). There is no growth on toluene, but toluene gets consumed<br />

proportional to the growth rate on the actual growth substrate. The following<br />

assumptions are made in the prediction <strong>of</strong> the steady state removal <strong>of</strong> ethanol <strong>and</strong><br />

toluene mixtures. The growth on the mixture <strong>of</strong> ethanol <strong>and</strong> toluene follows the two<br />

compound inhibition equation (Bailey <strong>and</strong> Ollis, 1986), which agrees with the<br />

metabolic model that applied with the data for ethanol/toluene bioremediation.<br />

μ<br />

maxCe<br />

μ =<br />

(5-70)<br />

C + K (1 + I / K )<br />

e<br />

e<br />

i<br />

where μ max = μ e,max , I = liquid concentration <strong>of</strong> a competing compound (mg/L) <strong>and</strong> K i<br />

is an inhibition constant (mg/L). In this case, I = C t, <strong>and</strong><br />

K i<br />

= 1.71mg<br />

/ L for toluene<br />

was used (Chang et al., 1993). For ethanol (see Table 5.1): μ = 0. 56 h -1 ,<strong>and</strong><br />

K e<br />

= 0.59g<br />

/ L .<br />

The biomass concentration can be predicted by:<br />

m<br />

C<br />

x<br />

1 max<br />

tx<br />

et<br />

= max<br />

⋅ ( φe<br />

⋅Yex<br />

+<br />

T<br />

⋅Y<br />

( μ + m )<br />

φ<br />

)<br />

(5-49)<br />

where φ<br />

e<br />

<strong>and</strong> φ T<br />

are the net amounts <strong>of</strong> ethanol <strong>and</strong> toluene flowing into the system<br />

(In-Out), respectively. Considering the fact that ethanol in the outlet gas steam is<br />

140

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