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 RQ= n_co2 / n_O2 (nO2 / no2)

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

C6​H12​O6​+ aNH3​+ bO2​→ pC5​H9​NO4​+ qCO2​+ rH2​O

The feed to the bioreactor comprises 1 .00 x 10^2 mol C6H12O2/ day, 1. 20 × 10^2 mol NH3/day, and 1. 10x 10^2 mol O2/day. Data on the system show that RQ= 0.45 mol CO2 produced/mol O2 consumed.

Required:
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.