Problem Statement: An ABE graduate student was trying to model Bioethanol production utilizing classic models (e.g.,...

 

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Problem Statement: An ABE graduate student was trying to model Bioethanol production utilizing classic models (e.g., here the Monod Equation). The Monod model has been used to model microbial cell growth rate with a first order kinetic model. In this case, the specific growth rate (units of per hour) is written as follows: μ = Hmax S Ks+S Where umax is the maximum specific growth rate (h¹) of the microorganisms, S is the concentration of the growth limiting substrate (g per liter) and Ks is the half-saturation velocity constant, the substrate concentration at half the maximum growth rate. In order to compare to feedstocks (Banana Peels and Palm Oil), the student needed to estimate the umax and Ks for each of these. To do this, they set up 1 L batch reactors using different feedstocks, then inoculated their yeast (YX210, Baker's Yeast; 1 g per liter) and began measuring the growth via spectrophotometer to capture growth rates and ultimately the specific growth rates for each feedstock for the different initial conditions of substrate concentration. They varied the substrate to between zero (just blank) and 28 g per liter of the substrate. Their reactor was maintained at pH 4.5 (using 0.1 M NaOH) and at 30 °C using a water jacket. They collected the specific growth rate data for each reactor and report on the substrate concentration and corresponding growth rate data for both feedstocks (see the csv file in Canvas). The data included in Canvas as a csv file in canvas for you to use. "Banana_Palm_Spec_Growth_Monod.csv" [A] Using Python, fit the Monod equation to the Data for both feedstocks (Banana and Palm oil) in the bioreactors, estimate the parameters umax, and KS. For each feed stock, Plot the data and curve, plot the residual plots, report GOF stats (at least two). Discuss if the curve fitting results. [B] Assuming that the true values for Banana are μmax = 1.5 per hour, and Ks = 25 grams per liter and then for Palm Oil are μmax = 0.15 per hour, and Ks = 10.21 grams per liter, report the relative error in your estimation, using code to do this. [c] Discuss the differences in the results from these two feedstocks. Problem Statement: An ABE graduate student was trying to model Bioethanol production utilizing classic models (e.g., here the Monod Equation). The Monod model has been used to model microbial cell growth rate with a first order kinetic model. In this case, the specific growth rate (units of per hour) is written as follows: μ = Hmax S Ks+S Where umax is the maximum specific growth rate (h¹) of the microorganisms, S is the concentration of the growth limiting substrate (g per liter) and Ks is the half-saturation velocity constant, the substrate concentration at half the maximum growth rate. In order to compare to feedstocks (Banana Peels and Palm Oil), the student needed to estimate the umax and Ks for each of these. To do this, they set up 1 L batch reactors using different feedstocks, then inoculated their yeast (YX210, Baker's Yeast; 1 g per liter) and began measuring the growth via spectrophotometer to capture growth rates and ultimately the specific growth rates for each feedstock for the different initial conditions of substrate concentration. They varied the substrate to between zero (just blank) and 28 g per liter of the substrate. Their reactor was maintained at pH 4.5 (using 0.1 M NaOH) and at 30 °C using a water jacket. They collected the specific growth rate data for each reactor and report on the substrate concentration and corresponding growth rate data for both feedstocks (see the csv file in Canvas). The data included in Canvas as a csv file in canvas for you to use. "Banana_Palm_Spec_Growth_Monod.csv" [A] Using Python, fit the Monod equation to the Data for both feedstocks (Banana and Palm oil) in the bioreactors, estimate the parameters umax, and KS. For each feed stock, Plot the data and curve, plot the residual plots, report GOF stats (at least two). Discuss if the curve fitting results. [B] Assuming that the true values for Banana are μmax = 1.5 per hour, and Ks = 25 grams per liter and then for Palm Oil are μmax = 0.15 per hour, and Ks = 10.21 grams per liter, report the relative error in your estimation, using code to do this. [c] Discuss the differences in the results from these two feedstocks.

Answer rating: 100% (QA)

Answer A Using Python the Monod equation was fit to the data for both feedstocks Banana and Palm oil in the bioreactors The estimates for the parameters umax and Ks are given below For Banana Feedstoc... View the full answer