Question: (15 points) For the completely mixed activated sludge reactor shown below, assume that the substrate utilization in the reactor follows pseudo first order reaction and

(15 points) For the completely mixed activated sludge reactor shown below, assume that the substrate utilization in the reactor follows pseudo first order reaction and the reaction rate if substrate utilization is dtdS=KSX, where S and X are the substrate (BOD) and biomass concentrations, respectively in the reactor; and K is the reaction rate constant. Derive a relationship that can be used to determine the residence time () knowing Q,S,S,X, and K
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