The fungi, Penicillium chrysogenum, C1H2O0.31N0.27 (MW = 22.74 g/mol) is grown in a batch reactor on corn steep liquor, which has the generic formula C12H28N2O3S1 (MW = 280 g/mol), as carbon source for the production of penicillin (C9H11O4N2S1, MW = 243 g/mol). The mass balance equation for this reaction is shown below. The yield of cell mass based on substrate (YX/S) for this process is known to be 0.08 g cells/g S. Use the MWs given here to solve this problem. C12H28N2O3S1 + a O2 + b NH3 c C1H2O0.31N0.27 + d C9H11O4N2S1 + e H2O + f CO2 a) Determine stoichiometric coefficients for this equation. Double check your work, as errors will carry forward within part (a). Hints: Include an elemental balance for sulfur, and make your balance includes the nitrogen atom that is in the substrate. Also, retain 6 decimal places on coefficient a, 5 decimal places on coefficient b, 3 decimal place on coefficient c, 1 decimal place on coefficient d, 6 decimal places on coefficient e, and 3 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 product on oxygen (YP/O2) 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 0.24 g cells/Lh? Hint: the combustion of organic materials that contain sulfur produce SO2. (i.e., C12H28N2O3S1 + m O2 n CO2 + p H2O + q N2 + r SO2). 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?