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2. A culture is initially run in batch mode until the substrate is almost consumed. At this point the fermentation is switched to fed-batch mode and glucose (growth limiting substrate) solution is added at 200 ml h¹¹. The concentration of glucose in this solution is 100 g 1¹. 30 g of biomass was present in the fermenter at the start of the fed-batch step. After 2 hours of operation in fed-batch mode, the culture volume was 1000 ml. Assume quasi-steady state. Additional data: K = 0.1 g 1¹, μmax = 0.3 h¹, Yxs = 0.5 g g¹¹. (a) Find the initial volume of culture at the start of the fed-batch mode. (b) Determine the concentration and total amount of biomass in the vessel after 2 hours of fed- batch operation. Ans: 50 g/0.05 g ml¹ Ans: 600 ml (c) If the product yield coefficient is constant and equal to 0.15 g g¹, determine the concentration of product in the vessel at tb = 2h. Assume that product is directly coupled to metabolism. Ans: 15 g L-¹ (d) Determine the concentration of the glucose in the fermenter at the end of the fed-batch mode. Ano: 03-1

2. A culture is initially run in batch mode until the substrate is almost consumed. At this point the fermentation is switched to fed-batch mode and glucose (growth limiting substrate) solution is added at 200 ml h¹¹. The concentration of glucose in this solution is 100 g 1¹. 30 g of biomass was present in the fermenter at the start of the fed-batch step. After 2 hours of operation in fed-batch mode, the culture volume was 1000 ml. Assume quasi-steady state. Additional data: K = 0.1 g 1¹, μmax = 0.3 h¹, Yxs = 0.5 g g¹¹. (a) Find the initial volume of culture at the start of the fed-batch mode. (b) Determine the concentration and total amount of biomass in the vessel after 2 hours of fed- batch operation. Ans: 50 g/0.05 g ml¹ Ans: 600 ml (c) If the product yield coefficient is constant and equal to 0.15 g g¹, determine the concentration of product in the vessel at tb = 2h. Assume that product is directly coupled to metabolism. Ans: 15 g L-¹ (d) Determine the concentration of the glucose in the fermenter at the end of the fed-batch mode. Ano: 03-1

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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2. A culture is initially run in batch mode until the substrate is almost consumed. At this point the fermentation is switched to fed-batch mode and glucose (growth limiting substrate) solution is added at 200 ml h¹. The concentration of glucose in this solution is 100 g l¹. 30 g of biomass was present in the fermenter at the start of the fed-batch step. After 2 hours of operation in fed-batch mode, the culture volume was 1000 ml. Assume quasi-steady state. Additional data: Ks = 0.1 g 1¹, Hmax = 0.3 h¹¹, Yxs = 0.5 g gʻ¹. (a) Find the initial volume of culture at the start of the fed-batch mode. (b) Determine the concentration and total amount of biomass in the vessel after 2 hours of fed- batch operation. Ans: 50 g/0.05 g ml¹ Ans: 600 ml (c) If the product yield coefficient is constant and equal to 0.15 g g¹, determine the concentration of product in the vessel at tb = 2h. Assume that product is directly coupled to metabolism. Ans: 15 g L-¹ (d) Determine the concentration of the glucose in the fermenter at the end of the fed-batch mode. Ans: 0.2 g L-¹
Transcribed Image Text:2. A culture is initially run in batch mode until the substrate is almost consumed. At this point the fermentation is switched to fed-batch mode and glucose (growth limiting substrate) solution is added at 200 ml h¹. The concentration of glucose in this solution is 100 g l¹. 30 g of biomass was present in the fermenter at the start of the fed-batch step. After 2 hours of operation in fed-batch mode, the culture volume was 1000 ml. Assume quasi-steady state. Additional data: Ks = 0.1 g 1¹, Hmax = 0.3 h¹¹, Yxs = 0.5 g gʻ¹. (a) Find the initial volume of culture at the start of the fed-batch mode. (b) Determine the concentration and total amount of biomass in the vessel after 2 hours of fed- batch operation. Ans: 50 g/0.05 g ml¹ Ans: 600 ml (c) If the product yield coefficient is constant and equal to 0.15 g g¹, determine the concentration of product in the vessel at tb = 2h. Assume that product is directly coupled to metabolism. Ans: 15 g L-¹ (d) Determine the concentration of the glucose in the fermenter at the end of the fed-batch mode. Ans: 0.2 g L-¹
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