Under anaerobic conditions, by using dry Chlorella microalgae $(C{H}_{1\mathrm{.}995}{O}_{0\mathrm{.}525}{N}_{0\mathrm{.}084})$ as the substrate,

Saccharomyces cerevisiae yeast $(C{H}_{1\mathrm{.}2}{O}_{0\mathrm{.}5}{N}_{0\mathrm{.}2})$ produces bioethanol $(C_2{H}_{5}OH)$ as the product. During the

reaction, $N{H}_3$ is used as the nitrogen source. The yield of biomass from the substrate is $0\mathrm{.}544\frac{g}{g}.$

Accordingly, please answer the following questions:

a$)$ Write the stoichiometric balance equations, calculate the stoichiometric coefficients of the reaction

components and the respiratory quotient $($RQ$).$

b$)$ Calculate the yield of bioethanol product from the dry microalgae substrate.