A 37C batch fermentation with acetate as the substrate will be conducted in a bioreactor under conditions with the kLa at 500 h-1. Assume that the bacteria are inoculated at 0.1 g/L and have a minimum doubling time of 30 min and the oxygen yield coefficient is 0.6 g cells/gO2. The oxygen transfer rate will be roughly equal to the oxygen uptake rate during exponential growth: kLa (C*-CL) = X/YX/O a) Calculate the dissolved oxygen level and plot CL vs. X. According to this model, at what cell concentration would CL be expected to reach zero? b) In reality the oxygen uptake rate changes as the oxygen level approaches zero (e.g. for microbes at oxygen levels of 0.0003 g/L). Propose a modification to the above equation that would allow you to calculate CL vs. X more realistically at limiting oxygen levels. Sketch on the plot how this should yield a modified line of CL vs. X (label lines clearly and there is no need for calculations to generate this second line).