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3. A wastewater is treated in an aerobic chemostat. Determine the following assuming the microbial degradation of the substrate conforms to Monod kinetics and that

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3. A wastewater is treated in an aerobic chemostat. Determine the following assuming the microbial degradation of the substrate conforms to Monod kinetics and that the following parameters hold: q^=7mg/mgVSS2d,b=0.05d1,Y=0.45gVSS2/gBODL,K=30mg BODL/L, and f=0.8. The wastewater also the following influent concentrations: S=250 mgBOD/L,Xa=0,Xio=5mgVSS/L, and Xi2m=5mgFSS/L. Determine the following assuming =25,2.5 and 0.25 days (i.e., you should have three different values for S,Xa etc.). The reactor volume is V=10m3. a. sinnmin,[xmin]lijk, and Smik b. The steady-state concentrations for S,Xa,XiXk and Xin. c. The substrate utilization rate, rut in unit of mass per time. d. The net rate of volatile biomass production, rkke, in units of mass per time. e. The rate at which DO is consumed in the reactor, ra, in units of mass per time. f. Suppose nitrate were used as the electron acceptor instead of DO. Convert the ra value you calculated in part (e) to mass of NO3N consumed per day. You can assume that all the kinetic parameters remain the same as for when O2 is the electron acceptor (which they would not in reality). Hint: This should be an easy question to answer. g. The effluent NH4+N and PO43P concentrations if the influent concentrations are 55 and 12mg/L, respectively (you can assume NH4+is the nitrogen source). 3. A wastewater is treated in an aerobic chemostat. Determine the following assuming the microbial degradation of the substrate conforms to Monod kinetics and that the following parameters hold: q^=7mg/mgVSS2d,b=0.05d1,Y=0.45gVSS2/gBODL,K=30mg BODL/L, and f=0.8. The wastewater also the following influent concentrations: S=250 mgBOD/L,Xa=0,Xio=5mgVSS/L, and Xi2m=5mgFSS/L. Determine the following assuming =25,2.5 and 0.25 days (i.e., you should have three different values for S,Xa etc.). The reactor volume is V=10m3. a. sinnmin,[xmin]lijk, and Smik b. The steady-state concentrations for S,Xa,XiXk and Xin. c. The substrate utilization rate, rut in unit of mass per time. d. The net rate of volatile biomass production, rkke, in units of mass per time. e. The rate at which DO is consumed in the reactor, ra, in units of mass per time. f. Suppose nitrate were used as the electron acceptor instead of DO. Convert the ra value you calculated in part (e) to mass of NO3N consumed per day. You can assume that all the kinetic parameters remain the same as for when O2 is the electron acceptor (which they would not in reality). Hint: This should be an easy question to answer. g. The effluent NH4+N and PO43P concentrations if the influent concentrations are 55 and 12mg/L, respectively (you can assume NH4+is the nitrogen source)

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