(Solved): The growth of S.cerevisiae on glucose under anaerobic conditions produces ethanol and glycerol. Exc ...

The growth of S.cerevisiae on glucose under anaerobic conditions produces ethanol and glycerol. Excluding water, the following stoichiometry has been proposed, where \( \alpha \) and \( \beta \) and \( \delta \) are unknown: \[ \begin{array}{l} \mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}+a \mathrm{NH}_{3} \rightarrow \delta \mathrm{CH}_{1.74} \mathrm{O}_{0.45} \mathrm{~N}_{0.2 \text { (biomass) }}+0.43 \mathrm{C}_{3} \mathrm{H}_{8} \mathrm{O}_{3} \ldots \\ \ldots+1.54 \mathrm{CO}_{2}+\beta \mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH} \end{array} \] (a) Given \( Y^{\text {true }}{ }_{x j i s}=0.0848 \mathrm{gDW} / \mathrm{gS} \) and there is \( 8.2 \mathrm{wt} \% \) ash in the dry biomass, calculate the stoichiometric coefficient \( \delta \). (b) Use elemental balances to determine values for coefficients \( \alpha \) and \( \beta \). (c) Rewrite the full stoichiometric equation in C-moles, excluding water. (d) Use a degree of reductance balance to determine if the stoichiometric equation shown in Question 4. Part (c) is consistent. (e) What is the name given to the metabolic cycle that results in ethanol production under anaerobic conditions? (f) Why is the true yield coefficient \( Y^{\text {true }} \times{ }^{\prime \prime} \) in the stoichiometric equation so small ? (g) What is the difference between anabolism and catabolism? Provide examples of typical product molecules from both anabolic and catabolic metabolism.