A genetically engineered strain of Escherichia coli (E. coli) is used to synthesize human insulin for people suffering from type I diabetes mellitus. In the following simplified reaction scheme, bacteria consume all of the limiting reactant under aerobic conditions and produce insulin and biomass.
C6H12O6 + oNH3+ bO2
/7C2.3H2 gO( iiN(insulin) + 2 + 5H2O
Feed containing 150 mM glucose (that is, 150 x 10-3 mol C6H|2O6/L) and 50 mM ammonia enters a bioreactor at a rate of 100 L/h. Pure oxygen enters the reactor as a gas at the same molar How rate as the ammonia. The product stream leaves at a rate of 100 L/h. The respiratory quotient (see Problem 4.62) RQ = 0.50 mol CO2 produced/mol O2 consumed, and the molar ratio of biomass to insulin produced in the reaction is 1.5. The system operates at steady state.
- Determine the six stoichiometric coefficients and the limiting reactant.
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