Stoichiometric equations are used to represent growth of microorganisms provided a 'molecular formula' for the cells is available. The molecular formula for biomass is obtained by measuring the amounts of C,N,H,O and other elements in cells. For a particular bacterial strain, the molecular formula was determined to be C4.4H7.30O1.2N0.86. These bacteria are grown under aerobic conditions with hexadecane (C16H34) as substrate. The reaction equation describing growth is: a) Is the stoichiometric equation balanced? b) Assuming 100% conversion, what is the yield of cells from hexadecane in ggth ? c) Assuming 100\% conversion, what is the yield of cells from oxygen in ggl ? d) You have been put in charge of a small fermenter for growing the bacteria and aim to produce 2.5kg of cells for inoculation of a pilot-scale reactor. i. What minimum amount of hexadecane substrate must be contained in your culture medium? ii. What must be the minimum concentration of hexadecane in the medium if the fermenter working volume is 3 cubic metres? iii. What minimum volume of air at 20C and 1atm pressure must be pumped into the fermenter during growth to produce the required amount of cells? 20 marks