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Question 3 - Use of Monod Equation in Mass Balance set for Chemostat (45 Points) Consider a culture of bacteria that secrete a primary product

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Question 3 - Use of Monod Equation in Mass Balance set for Chemostat (45 Points) Consider a culture of bacteria that secrete a primary product in a chemostat operated at steady state. The specific growth rate of biomass is adequately described by the Monod equation, and the rate of product formation is described by q=Y/x in [kgP/kgX/h]. This system is well characterized, such that the following constants are known: YX/S=0.3g/gmax=0.6h1KS=0.1g/LYP/X=0.2g/gF=20L/hSo=10g/LYP/S=0.8g/gV=300L The liquid feed to the chemostat is sterile, and the flow rates entering and exiting the chemostat are equal. a. Write steady-state mass balances for S,X, and P. (15 pts) b. What is the steady-state concentration of S ? (10 pts) c. What is the steady-state concentration of X ? If you were unable to obtain an answer for S in part b, use S=0.2g/L. (10 pts) d. If the volume of the reactor is kept constant, what value of the flow rate would cause "washout" of the reactor? (10 pts)

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