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Modeling of Biogas Reactors

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176 6 <strong>Modeling</strong> <strong>of</strong> <strong>Biogas</strong> <strong>Reactors</strong><br />

Table 6.3 Equilibrium constants for wastewater <strong>of</strong> bakers’ yeast production, temperature 37.4 °C.<br />

ã1 0.73<br />

Activity Coefficients<br />

Monovalent ion<br />

ã2 0.28 Bivalent ion<br />

Dissociation Constant [mol L –1 ]<br />

KD,Ac KD,Pro K I D,Ac K II D,CO<br />

2 K I D,H<br />

2<br />

S K II D,H<br />

2<br />

S KD,NH3 1.17·10 –5<br />

1.3·10 –5<br />

tions <strong>of</strong> CO 3 2– and S 2– can be neglected in the relevant range <strong>of</strong> pH between 6.6 and<br />

7.4. Therefore, calculation can be handled like a 1-step dissociation. Eqs. 3, 9–14 give<br />

the pH value in implicit form. The pH can be evaluated by a stepwise iterative procedure.<br />

6.3.1<br />

Acetic Acid, Propionic Acid<br />

4.94·10 –7<br />

5.79·10 –11<br />

1.44·10 –7<br />

2.7·10 –14<br />

6.83·10 –6<br />

Many experiments have been reported on the growth rate <strong>of</strong> acetic acid converting<br />

organisms with respect to the concentration <strong>of</strong> acetic acid in the fermentation broth.<br />

A reliable collection <strong>of</strong> those data is presented in Figure 6.12. Because it is very difficult<br />

to measure the growth rate <strong>of</strong> methane producing organisms directly (in a<br />

mixed culture it may be impossible) and because it is assumed that this growth rate<br />

is directly proportional to the methane production rate, usually the latter value is taken<br />

as a measure <strong>of</strong> bacterial activity. In Figure 6.12 the methane production rate, related<br />

to the maximum methane production rate <strong>of</strong> a biogas reactor, is denoted on the<br />

ordinate <strong>of</strong> the graph.<br />

Fig. 6.12 Methane production as a function <strong>of</strong> the concentration <strong>of</strong> total acetic acid.

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