Calculating growth kinetics in a batch reactor


Discussion:

Calculating Growth Kinetics in a Batch Reactor

Bacteria used to degrade a contaminant in a bacth reactor are found to grown on the contaminant with Monod Kinetics. Assuming Umax (the max specific growth rate)=10 per day, and Ks (called half velocity constant)=5mg/L and Kd (the decay constant)=0.05 per day.
At what value of S (the substrate concentration) will dX/dt=0. (X is the biomass concentration).

I am not sure how to find X and S:

dx/dt=(Umax)(X)=0
Umax(X)=0
Umax(S/Ks+S)X=0

Monod model assumes that the test chemical is the sole growth limitinG compound in system.

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Biology: Calculating growth kinetics in a batch reactor
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