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Cell biomass, represented as C? H? N? O?, is grown in a bioreactor. ?, ?, ?, and

ID: 623582 • Letter: C

Question

Cell biomass, represented as C? H? N? O?, is grown in a bioreactor. ?, ?, ?, and ? are numbers specifying the molecular formula. The molecular weight of C? H? N? O? is 91.34 g/mol. The volume of the bioreactor is 100 L. There are two inlet streams to bioreactor (see the figure). The first inlet stream contains glucose and ammonia; the second contains air. There are two outlet streams from the bioreactor. One outlet stream contains C? H? N? O?, excess C6 H12 O6, and H2O; the other contains the gases O2, N2, and CO2. The outlet gas flow rate is 1.13e5 cm3/min. Assume that the gas streams are dry (i.e., contain no H2O). Assume that the density of air, O2, N2, and CO2 is 0.0012 g/cm3. The following biochemical reaction takes place in the bioreactor: C6H12O6 + aO2 + bNH3 = pC? H? N? O? + qH2O + rCO2 Ammonia is the limiting reactant and is completely consumed in the reaction. The bioreactor is in steady-state operation. The mass and molar flow rates of some of compounds are summarized in the table; others must be calculated or deduced. A) Determine the outlet molar flow rate of biomass (C? H? N? O?). B) Solve for the stoichiometric coefficients (a, b, p, q,r) that correctly balance the biochemical reaction. C) Solve for the values of ?, ?, ?, and ?.

Explanation / Answer

some variables are broken

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