With Low Initial Concentration of Bacteria

It can be advantageous to start an experiment with a low bacterial concentration. In this case, we must consider the change in X by bacterial growth.

At At

is obtained which can be used to eliminate X in the substrate balance (Eq. 6.4):

By integrating Eq. (6.16) with t = o, S = So and by separating the variables X and t, and by using:

we obtain the solution (Winkler 1981):

After transforming Eq. (6.18a) into:

y = m x + b we obtain the coefficients pmax and KS which are determined from the slope and ordinate intercept if a straight line with a positive slope m and a negative ordinate intercept b follows.

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