Folic acid (C19H19N7O6, MW = 441 g/mol) is produced by a mixed bacteria culture with the general formula C5H7NO (MW=97 g/mol) using a hexose (C6H12O6, MW = 180 g/mol) as the carbon source. The mass balance equation for this reaction is shown below. The yield of product on substrate (YP/S) and oxygen (YP/O2) are 0.245 g P/g S and 0.3301 g P/g O2. The respiratory coefficient (RQ) for this process is 0.9222 mol CO2/mol O2. Use the MWs given here to solve this problem. C6H12O6 + a O2 + b NH3 c C5H7NO + d C19H19N7O6 + e H2O + f CO2 a. Determine stoichiometric coefficients for this equation. Double check your work, as errors will carry forward within part (a). Hints: retain 3 decimal places on coefficient a, 2 decimal places on coefficient b, 2 decimal places on coefficient c, 1 decimal place on coefficient d, 0 decimal places on coefficient e (its an integer), and 2 decimal places on coefficient f. b. What is the yield of cells on oxygen (YX/O2) for this process with units? (The correctness of your responses to b - e will be graded based on the stoichiometric coefficients that you gave in part a.) c. What is the yield of cells on substrate (YX/S) for this process with units?

d. What is the rate of heat evolution due to cell growth (QGr) if the rate of cell growth is 0.3 g cells/L*h? e. What fraction of the hydrocarbon substrates energy was (i) used for cell mass production; (ii) used for product production; and (iii) released as heat?