A waste water stream containing soluble contaminants species at 30 g/L is to be treated using bacteria immobilized in porous beads. The kinetics of contaminant conversion by this immobilized culture is subjected to inhibition by contaminant according to
Where rm = 32.8 g contaminant consumed/L of liquid h, Ks = 0.24 g/L and Kt = 40 g/L while the effects of external mass transfer limitations on contamination transport are negligible, we know that mass transfer limitations will present within the pores of the beads.
Derive the expression for the residence time required to achieve a specified extent of contamination conversion in a batch bioreactor. For this purpose you may consider to be an average value characteristic of this particular operation.
This question belongs to bioreactors in biotechnology and discusses about mass transfer in bioreactors and to determine an expression for the residence time.
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