Stoichiometric equations can be used to represent the growth of microorganisms provided a 'molecular formula' for the cells is available. The molecular formula for biomass is obtained by measuring the amounts of C, N, H, O, and other elements in cells. For a particular bacterial strain, the molecular formula was determined to be C4.4H7.301.2No.86. These bacterial cells are grown under aerobic conditions with hexadecane (C16H34) as substrate. The reaction equation describing growth is: - C16H34 + 16.28 O2 +1.42 NH3→ 1.65 C4.4H7.301.2No.86 + 8.74 CO2+ 13.11 H2O You are in charge of a small batch fermenter for growing the bacteria you need to produce 8.2 kg of cells for inoculation of a pilot-scale reactor. a) What minimum amount of hexadecane substrate (in kg) must be contained in your culture medium? Assume 100% conversion of hexadecane to cells. b) What must be the minimum concentration of hexadecane (in kg/m3) in the medium if the fermenter working volume is 5.8 cubic meters? c) What minimum volume (in m³) of air at 30°C and 1.3 atm (absolute) pressure must be pumped into the fermenter during growth to produce the required 8.2 kg of cells?
Stoichiometric equations can be used to represent the growth of microorganisms provided a 'molecular formula' for the cells is available. The molecular formula for biomass is obtained by measuring the amounts of C, N, H, O, and other elements in cells. For a particular bacterial strain, the molecular formula was determined to be C4.4H7.301.2No.86. These bacterial cells are grown under aerobic conditions with hexadecane (C16H34) as substrate. The reaction equation describing growth is: - C16H34 + 16.28 O2 +1.42 NH3→ 1.65 C4.4H7.301.2No.86 + 8.74 CO2+ 13.11 H2O You are in charge of a small batch fermenter for growing the bacteria you need to produce 8.2 kg of cells for inoculation of a pilot-scale reactor. a) What minimum amount of hexadecane substrate (in kg) must be contained in your culture medium? Assume 100% conversion of hexadecane to cells. b) What must be the minimum concentration of hexadecane (in kg/m3) in the medium if the fermenter working volume is 5.8 cubic meters? c) What minimum volume (in m³) of air at 30°C and 1.3 atm (absolute) pressure must be pumped into the fermenter during growth to produce the required 8.2 kg of cells?
Chapter21: Heparin Infusion Calculations
Section: Chapter Questions
Problem 1.1P
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Transcribed Image Text:Stoichiometric equations can be used to represent the growth of microorganisms provided a
'molecular formula' for the cells is available. The molecular formula for biomass is obtained by
measuring the amounts of C, N, H, O, and other elements in cells. For a particular bacterial strain,
the molecular formula was determined to be C4.4H7.301.2No.86. These bacterial cells are grown
under aerobic conditions with hexadecane (C16H34) as substrate. The reaction equation describing
growth is:
1 C16H34 + 16.28 O2 +1.42 NH3 → 1.65 C4.4H7.301.2No.86 + 8.74 CO2+ 13.11 H20
You are in charge of a small batch fermenter for growing the bacteria you need to produce 8.2 kg
of cells for inoculation of a pilot-scale reactor.
a) What minimum amount of hexadecane substrate (in kg) must be contained in your culture
medium? Assume 100% conversion of hexadecane to cells.
b) What must be the minimum concentration of hexadecane (in kg/m3) in the medium if the
fermenter working volume is 5.8 cubic meters?
c) What minimum volume (in m3) of air at 30°C and 1.3 atm (absolute) pressure must be pumped
into the fermenter during growth to produce the required 8.2 kg of cells?
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