Consider a continuous stirred tank bioreactor (a chemostat). The growth, substrate utilization and product formation (for a single product) of the microorganism are described by the following parameters: max = 0.3 hr-1 Ks = 1.0 g/L YX/S = 0.6 g cells/g substrate YP/X = 0.2 g product/g cells a. Derive the dynamic balances for the chemostat (cell mass balance, substrate balance, and single product balance) using the bioreactor notation in Lecture 4 and Lecture 5. Note that the equations from the lecture were derived for a fed batch bioreactor. Assume that the inlet and outlet flowrate are equal (Fin = Fout = F; V=constant). Assume that the rate of substrate utilization due to product formation (rs,p )is negligible. b. Consider a 100 L chemostat in operation at steady state with a flowrate of 10 L/hr. You want to achieve a cell density of 6 g/L. Determine the substrate feed ** part missing from picture** (concentration, Sf (g/L), required to achieve this cell density. What is the corresponding density of the product (P, g/L) and the remaining substrate in the bioreactor (S, g/L)?

4. Consider a continuous stirred tank bioreactor (a chemostat). The growth, substrate a utilization and product formation (for a single product) of the microorganism are described by the following parameters: Umax = 0.3 hr-1 Ks= 1.0 g/L Yx/s = 0.6 g cells/g substrate Yp/X= 0.2 g product/g cells = = a. Derive the dynamic balances for the chemostat (cell mass balance, substrate balance, and single product balance) using the bioreactor notation in Lecture 4 and Lecture 5. Note that the equations from the lecture were derived for a fed batch bioreactor. Assume that the inlet and outlet flowrate are equal (Fin Fout = F; V=constant). Assume that the rate of substrate utilization due to product formation (rs,p Dis negligible. b. Consider a 100 L chemostat in operation at steady state with a flowrate of 10 L/hr. You want to achieve a cell density of 6 g/L. Determine the substrate feed