Ethanol is to be used as a substrate for single-cell protein (biomass) production in achemostat. The available equipment can achieve an oxygen transfer rate of 10 g O2/L ofliquid per hour. Assume the kinetics of cell growth on ethanol is of the Monod type,with max = 0.5 hr-1, Ks = 30 mg/L, YX/S = 0.5 g-cells/g-ethanol, and YO2/S = 2 g-O2/gethanol. We wish to operate the chemostat with an ethanol concentration in the feed of22 g/L. We also wish to maximize the biomass productivity and minimize the loss ofunused ethanol in the effluent.

a) Determine the required dilution rate to achieve maximum biomass productivity andthe ethanol concentration at the exit of the chemostat under these conditions

b) Write the equation mass balance for O2 and , for this specific case mentioned above, using the same equation, calculate and verify whether sufficient oxygen can be provided  in the available equipment.

c) Write the same mass balance for O2 capable of describing general dynamic conditions  (dynamic modelling equation)