Zymomonas mobilis is used to convert glucose to ethanol in a 60 m^3 chemostat fermenter under anaerobic conditions. The biomass yield from substrate is 0.06 g/g, the Ypx is 7.7 g/g. The hold coefficient is 2.2 g/(g·h) and the specific rate of product formation due to hold is 1.1 (1/h). The maximum specific growth rate of Z. mobilis is approximately 0.3 (1/h). 5 g of bacteria are inoculated in 50 L of culture medium containing 12 g/L of glucose, the Ks for the organism is 0.2 g/L, the qp is 3.4 (1/h), the Yps = 0.467 g. Determine the following:
a) What flow rate is needed to achieve a steady-state substrate concentration of 1.0 g/L?
b) At this flow rate, what is the cell density?
c) At this flow rate, what concentration of ethanol is produced?