Oxygen consumed by a living organism in aerobic reactions is used in adding mass to the organism

Question:

Oxygen consumed by a living organism in aerobic reactions is used in adding mass to the organism and/or the production of chemicals and carbon dioxide. Since we may not know the molecular compositions of all species in such a reaction, it is common to define the ratio of moles of CO₂ produced per mole of O₂ consumed as the respiratory quotient, RQ, where

Since it generally is impossible to predict values of RQ, they must be determined from operating data. Mammalian cells are used in a bioreactor to convert glucose to glutamic acid by the reaction

The feed to the bioreactor comprises 1.00 × 10² mol C₆H₁₂O₆/day, 1.20 × 10² mol NH₃/day, and 1.10 × 10² mol O₂/day. Data on the system show that RQ = 0:45 mol CO₂ produced/mol O₂ consumed.

(a) Determine the five stoichiometric coefficients and the limiting reactant.

(b) Assuming that the limiting reactant is consumed completely, calculate the molar and mass flow rates of all species leaving the reactor and the fractional conversions of the non-limiting reactants.