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b. Derive the following equation for the steady-state biomass concentration (X) in a well-mixed
chemostat with single nutrient limitation X=Ysx(S0S) Where Ysx is the biomass yield on substrate,
S0 is the input substrate concentration, and S is the steady-state substrate concentration. Clearly
state all assumptions made. [5marks] c. Calculate the steady-state glucose concentration given
that the input rate of medium is 1.25 Lh and the chemostat has a working volume of 5L. It is
assumed that cell growth can be described by the Monod equation and the organism has a
substrate affinity constant of 5mg/. and a maximum specific growth rate of 1.69h 17 marks d.
Explain what is meant by critical dilution rate with the help of a diagram 110 marks|

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  • 1. b. Derive the following equation for the steady-state biomass concentration (X) in a well-mixed chemostat with single nutrient limitation X=Ysx(S0S) Where Ysx is the biomass yield on substrate, S0 is the input substrate concentration, and S is the steady-state substrate concentration. Clearly state all assumptions made. [5marks] c. Calculate the steady-state glucose concentration given that the input rate of medium is 1.25 Lh and the chemostat has a working volume of 5L. It is assumed that cell growth can be described by the Monod equation and the organism has a substrate affinity constant of 5mg/. and a maximum specific growth rate of 1.69h 17 marks d. Explain what is meant by critical dilution rate with the help of a diagram 110 marks|