Bacteria with the formula C1H1.3O0.42N0.25 (MW = 23.52 g/mol) is grown in a batch reactor on decane (C10H22, MW = 142 g/mol) as the carbon source for the production of an organic acid (C3H4O3, MW = 88 g/mol). The mass balance equation for this reaction is shown below. 36% of the carbons in the substrate are incorporated into the biomass. The rate of cell growth and the rate of product production are 0.098 g cells/L*h and 0.1859 g P/L*h, respectively. The yield of product on substrate (YP/S) for this process is 1.131 g product/ g substrate. Use the MWs given here to solve this problem. C10H22 + a O2 + b NH3 c C1H1.3O0.42N0.25 + d C3H4O3 + 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 4 decimal places on coefficient a, 1 decimal place on coefficient b, 1 decimal place on coefficient c, 3 decimal places on coefficient d, 2 decimal places on coefficient e, and 3 decimal places on coefficient f. b) What is the yield of cells on substrate (YX/S) for this process with units? (The correctness of your response to b e will be graded based on the stoichiometric coefficients that you gave in part a.) c) What is the respiratory coefficient (RQ) for this process with units? d) What is the rate of heat evolution due to cell growth (QGr)? 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?