A 37C batch fermentation with acetate as the substrate will be conducted in a bioreactor under conditions with the kL a at 500h1. Assume that the bacteria are inoculated at 0.1 g/L and have a minimum doubling time of 30min and the oxygen yield coefficient is 0.6g cells/gO gO2. The oxygen transfer rate will be roughly equal to the oxygen uptake rate during exponential growth: kLa(CCL)=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? (/5) b) In reality the oxygen uptake rate changes as the oxygen level approaches zero (e.g. for microbes at oxygen levels of 0.0003g/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). (/3)