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3. The cell growth in problem 1 is now transitioned to a 12.0 L continuously-stirred tank reactor (a chemostat), but the feed only contains glucose as the carbon source, and the glucose is still the limiting nutrient. The initial cell concentration is 56 g cells/L The glucose is now supplied in a feed stream at 93 g/L, entering the tank at 2.5 L/h (also called the dilution rate, D). The reactor is operated at steady state in terms of flow rate, so the exit stream leaves as 2.5 L/h as well. The specific growth rate in the continuous rector follows the Monod equation, with Hmax = 0.51 h¹ and a saturation constant (Ks) of 71.4 g/L. Cell yield on glucose is 0.46 g cells/g glucose. A. Use the Monod equation to determine the specific growth rate for the cells. (assume the reactor has an initial glucose concentration of 93 g/L, and that the cells are in the exponential growth phase) B. Using the initial concentration of cells and the growth rate found in part A, what is the rate of new cell growth, dx/dt, in the bioreactor? C. At what rate do the cells initially consume glucose (in g/h, considering the reactor volume)? (assume the cells are growing in the exponential growth phase and all glucose is used to produce new cells- no product is formed and maintenance energy is negligible). (Use the stoichiometry and yield factors from problem 1) D. Determine which of these three events will occur in the reactor: (i) the cell concentration will stay the same (it is at steady state), (ii) the cell concentration will increase (cells are growing faster than they are leaving the reactor), or (iii) the bioreactor reaches washout conditions (washout is where the flowrate through the reactor causes the cells to leave faster than they are growing) E. At an inlet flowrate of 2.5 L/h, what concentration of glucose must be fed to run the chemostat bioreactor at steady state with a constant cell concentration of 56 g cells/L?

3. The cell growth in problem 1 is now transitioned to a 12.0 L continuously-stirred tank reactor (a chemostat), but the feed only contains glucose as the carbon source, and the glucose is still the limiting nutrient. The initial cell concentration is 56 g cells/L The glucose is now supplied in a feed stream at 93 g/L, entering the tank at 2.5 L/h (also called the dilution rate, D). The reactor is operated at steady state in terms of flow rate, so the exit stream leaves as 2.5 L/h as well. The specific growth rate in the continuous rector follows the Monod equation, with Hmax = 0.51 h¹ and a saturation constant (Ks) of 71.4 g/L. Cell yield on glucose is 0.46 g cells/g glucose. A. Use the Monod equation to determine the specific growth rate for the cells. (assume the reactor has an initial glucose concentration of 93 g/L, and that the cells are in the exponential growth phase) B. Using the initial concentration of cells and the growth rate found in part A, what is the rate of new cell growth, dx/dt, in the bioreactor? C. At what rate do the cells initially consume glucose (in g/h, considering the reactor volume)? (assume the cells are growing in the exponential growth phase and all glucose is used to produce new cells- no product is formed and maintenance energy is negligible). (Use the stoichiometry and yield factors from problem 1) D. Determine which of these three events will occur in the reactor: (i) the cell concentration will stay the same (it is at steady state), (ii) the cell concentration will increase (cells are growing faster than they are leaving the reactor), or (iii) the bioreactor reaches washout conditions (washout is where the flowrate through the reactor causes the cells to leave faster than they are growing) E. At an inlet flowrate of 2.5 L/h, what concentration of glucose must be fed to run the chemostat bioreactor at steady state with a constant cell concentration of 56 g cells/L?

Biology: The Dynamic Science (MindTap Course List)
Biology: The Dynamic Science (MindTap Course List)
4th Edition
ISBN:9781305389892
Author:Peter J. Russell, Paul E. Hertz, Beverly McMillan
Publisher:Peter J. Russell, Paul E. Hertz, Beverly McMillan
Chapter5: Membranes And Transport
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3. The cell growth in problem 1 is now transitioned to a 12.0 L continuously-stirred tank reactor (a chemostat), but the feed only contains glucose as the carbon source, and the glucose is still the limiting nutrient. The initial cell concentration is 56 g cells/L The glucose is now supplied in a feed stream at 93 g/L, entering the tank at 2.5 L/h (also called the dilution rate, D). The reactor is operated at steady state in terms of flow rate, so the exit stream leaves as 2.5 L/h as well. The specific growth rate in the continuous rector follows the Monod equation, with μmax = 0.51 h¹ and a saturation constant (Ks) of 71.4 g/L. Cell yield on glucose is 0.46 g cells/g glucose. A. Use the Monod equation to determine the specific growth rate for the cells. (assume the reactor has an initial glucose concentration of 93 g/L, and that the cells are in the exponential growth phase) B. Using the initial concentration of cells and the growth rate found in part A, what is the rate of new cell growth, dx/dt, in the bioreactor? C. At what rate do the cells initially consume glucose (in g/h, considering the reactor volume)? (assume the cells are growing in the exponential growth phase and all glucose is used to produce new cells- no product is formed and maintenance energy is negligible). (Use the stoichiometry and yield factors from problem 1) D. Determine which of these three events will occur in the reactor: (i) the cell concentration will stay the same (it is at steady state), (ii) the cell concentration will increase (cells are growing faster than they are leaving the reactor), or (iii) the bioreactor reaches washout conditions (washout is where the flowrate through the reactor causes the cells to leave faster than they are growing) E. At an inlet flowrate of 2.5 L/h, what concentration of glucose must be fed to run the chemostat bioreactor at steady state with a constant cell concentration of 56 g cells/L?
Transcribed Image Text:3. The cell growth in problem 1 is now transitioned to a 12.0 L continuously-stirred tank reactor (a chemostat), but the feed only contains glucose as the carbon source, and the glucose is still the limiting nutrient. The initial cell concentration is 56 g cells/L The glucose is now supplied in a feed stream at 93 g/L, entering the tank at 2.5 L/h (also called the dilution rate, D). The reactor is operated at steady state in terms of flow rate, so the exit stream leaves as 2.5 L/h as well. The specific growth rate in the continuous rector follows the Monod equation, with μmax = 0.51 h¹ and a saturation constant (Ks) of 71.4 g/L. Cell yield on glucose is 0.46 g cells/g glucose. A. Use the Monod equation to determine the specific growth rate for the cells. (assume the reactor has an initial glucose concentration of 93 g/L, and that the cells are in the exponential growth phase) B. Using the initial concentration of cells and the growth rate found in part A, what is the rate of new cell growth, dx/dt, in the bioreactor? C. At what rate do the cells initially consume glucose (in g/h, considering the reactor volume)? (assume the cells are growing in the exponential growth phase and all glucose is used to produce new cells- no product is formed and maintenance energy is negligible). (Use the stoichiometry and yield factors from problem 1) D. Determine which of these three events will occur in the reactor: (i) the cell concentration will stay the same (it is at steady state), (ii) the cell concentration will increase (cells are growing faster than they are leaving the reactor), or (iii) the bioreactor reaches washout conditions (washout is where the flowrate through the reactor causes the cells to leave faster than they are growing) E. At an inlet flowrate of 2.5 L/h, what concentration of glucose must be fed to run the chemostat bioreactor at steady state with a constant cell concentration of 56 g cells/L?
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