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Question

A fed batch culture was operated with intermittent addition of glucose solution at a flow rate of 200 ml h^-1. The values of Ks, m and D are 0.3 g l^-1, 0.4 h-1 and 0.1 h^-1, respectively. Determine the concentration of growth limiting substrate (gl^-1) in the reactor at quasi-steady state. ____________

Explanation

At quasi-steady state, μ=D. Using Monod, S= D×Ks/(μm-D)=0.1×0.3/(0.4-0.1)=0.1 g/L. Low residual substrate indicates substrate-limited growth, typical for fed-batch control to avoid overflow metabolism and maintain high yield. Additional evidence from controlled experiments and theoretical models further supports this conclusion in biotechnology literature.

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