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Modeling of Biogas Reactors

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178 6 <strong>Modeling</strong> <strong>of</strong> <strong>Biogas</strong> <strong>Reactors</strong><br />

kinetic data <strong>of</strong> authors who worked with more defined microbial systems are studied.<br />

These data are presented in Figure 6.14. It can be seen that experiments performed<br />

with Methanothrix sp. result in a smaller K HAc value (K HAc = 0.02 mmol L –1 )<br />

than those performed with Methanosarcina barkeri, which correspond to a somewhat<br />

higher value (K HAc = 0.12 mmol L –1 ). This result may be due to the fact that the relative<br />

surface <strong>of</strong> the filamentous Methanothrix sp. is larger than that <strong>of</strong> the rodshaped<br />

Methanosarcina sp.<br />

Altogether, the K HAc value based on undissociated acetic acid is roughly in the<br />

range between 0.02 mmol L –1 and 0.12 mmol L –1 . In a mixed culture an average value<br />

<strong>of</strong> 0.07 mmol L –1 may be adequate. If this mixed culture contains mainly Methanothrix<br />

sp. to convert acetic acid, the value will be smaller. If Methanosarcina sp.<br />

dominate, the value <strong>of</strong> K HAc should be higher. The author <strong>of</strong> this paper used K HAc =<br />

0.07 mmol L –1 .<br />

Witty and Märkl (1986) reported that propionic acid inhibits the conversion <strong>of</strong> acetic<br />

acid to methane and CO 2. Experiments with different amounts <strong>of</strong> propionic acid<br />

resulted in an inhibition coefficient <strong>of</strong> K HPro = 0.97 mmol L –1 . Therefore, a concentration<br />

<strong>of</strong> 0.97 mmol L –1 <strong>of</strong> undissociated propionic acid causes an inhibition <strong>of</strong> 50%<br />

<strong>of</strong> the rate without propionic acid (Eq. 18).<br />

2 c c<br />

H ã 1<br />

2<br />

K c<br />

D,Pro+c H ã 1<br />

c HPro = c Pro (16)<br />

2 c c<br />

H ã 1<br />

cH2S = cS,tot (17)<br />

2<br />

K c<br />

D,H2S+c H ã1 Fig. 16.14 Methane production as a function <strong>of</strong> the concentration <strong>of</strong> the undissociated acetic acid.<br />

Experimental data <strong>of</strong> cultures <strong>of</strong> Methanothrix-like sp. and Methanosarcina barkeri.

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