2. For the diauxic cell growth in problem #1: A. How much total oxygen (O₂) is consumed during the growth phase on glucose (g/g)? B. How much total oxygen (O₂) is consumed during growth on glycerol (g/g)? C. At what minimum rate must oxygen be supplied to the reactor so that it does not limit the growth rate? (assume the oxygen supplied is fully available to the cells and we don't have to consider mass transfer)

Human Anatomy & Physiology (11th Edition)
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1. Aerobacter aerogenes bacteria have an initial concentration of 27 g cells/L in a 2.0 L bioreactor. The growth medium
contains two carbon sources, both of which are limiting, and ample supplies of oxygen, ammonium nitrate
(NH4NO3) as a nitrogen source and all other macro and micronutrients. The bacteria prefer to grow on glucose
(C6H12O6, supplied at 100 g/L), so it is consumed first, followed by glycerol (C3H8O3, supplied at 75 g/L). Since the
Aerobacter aerogenes were already growing on glucose, the lag time associated with glucose consumption is
only 15 minutes. The lag time associated with glycerol consumption is 40 minutes.
Further information: The chemical formula for Aerobacter aerogenes in this bioreactor is CH1.666N0.2000.57. The
specific growth rate on glucose is 0.42 h¹, and on glycerol is 0.27 h ¹. The yield of cells on glucose is 0.46 g
cells/g glucose, and yield on glycerol is 0.38 g cells/g glycerol. You may ignore the length of time that the cells
are in deceleration phase.
A. What is the concentration of cells when they reach the endogenous metabolism phase after consuming both
carbon sources?
B. At what time after cell growth begins in the bioreactor will the cell concentration first reach its highest
concentration?
C. Determine the stoichiometric coefficients for cell growth on each limiting carbon source.
2. For the diauxic cell growth in problem #1:
A. How much total oxygen (O₂) is consumed during the growth phase on glucose (g/g)?
B. How much total oxygen (O₂) is consumed during growth on glycerol (g/g)?
C. At what minimum rate must oxygen be supplied to the reactor so that it does not limit the growth rate?
(assume the oxygen supplied is fully available to the cells and we don't have to consider mass transfer)
Transcribed Image Text:1. Aerobacter aerogenes bacteria have an initial concentration of 27 g cells/L in a 2.0 L bioreactor. The growth medium contains two carbon sources, both of which are limiting, and ample supplies of oxygen, ammonium nitrate (NH4NO3) as a nitrogen source and all other macro and micronutrients. The bacteria prefer to grow on glucose (C6H12O6, supplied at 100 g/L), so it is consumed first, followed by glycerol (C3H8O3, supplied at 75 g/L). Since the Aerobacter aerogenes were already growing on glucose, the lag time associated with glucose consumption is only 15 minutes. The lag time associated with glycerol consumption is 40 minutes. Further information: The chemical formula for Aerobacter aerogenes in this bioreactor is CH1.666N0.2000.57. The specific growth rate on glucose is 0.42 h¹, and on glycerol is 0.27 h ¹. The yield of cells on glucose is 0.46 g cells/g glucose, and yield on glycerol is 0.38 g cells/g glycerol. You may ignore the length of time that the cells are in deceleration phase. A. What is the concentration of cells when they reach the endogenous metabolism phase after consuming both carbon sources? B. At what time after cell growth begins in the bioreactor will the cell concentration first reach its highest concentration? C. Determine the stoichiometric coefficients for cell growth on each limiting carbon source. 2. For the diauxic cell growth in problem #1: A. How much total oxygen (O₂) is consumed during the growth phase on glucose (g/g)? B. How much total oxygen (O₂) is consumed during growth on glycerol (g/g)? C. At what minimum rate must oxygen be supplied to the reactor so that it does not limit the growth rate? (assume the oxygen supplied is fully available to the cells and we don't have to consider mass transfer)
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