Butanoate is a four-carbon short-chain fatty acid which is used as a substrate for single-cell protein production in a chemo-stat. Kinetics of cell growth on this substrate obey Monod kinetics and has the following data. Solve for the following by showing your steps. 

Please be careful about units use.

a) Determine the optimum dilution rate (Dg for maximum biomass productivity (D-X).

b) How much is that maximum biomass productivity and its concentration in the reactor (X)? 

c) Available aeration equipment can achieve only an oxygen transfer rate (OTR) of 8 go/L'h. Will it be sufficient to operate at the Dost above? Explain your result.

parameter (unit) Pmax (1/h)= K. (mg/L) = Yxs (gx/gs) Yoz/s(802/gs) = S, (g/L) = value 0.82 15 0.75 0.5 18000