In a fermentation process, Saccharomyces sp$.$ is used to digest glucose $C_6{H}_{12}{O}_6$ to

produce ethanol and propenoic acid. Overall, the process will produce ethanol

$C_2{H}_{5}OH,$ carbon dioxide $C{O}_2$ propenoic acid $C_2{H}_{3}C{O}_{2}H$ and water $H_{2}O.$ There

are two separate competitive reactions simultaneously, one is producing ethanol &

carbon dioxide and the other one will produce propenoic acid & water. In a typical

batch process, the tank is fed with $3000$ kg of a $15wt.\%$ of glucose$/$water by mass

along with $200$ kg of $C{O}_2.$ At the end of the fermentation process, there are $2560$ kg

of water. Selectivity of ethanol is given as $5\mathrm{.}757.$

$[$a$].$ Derive both stoichiometric equation for ethanol production and propenoic acid

production respectively.

$[3$ marks$]$

$[$b$].$ Write the extent of reaction for ${}_1$ and ${}_2$ of the process.

$[3$ marks$]$

$[$c$].$ Calculate the final composition of all the components at the end of the process

in mass reaction $($wt$.\%)$ and mol fraction $($mol$.\%).$

$[12$ marks$]$

$[$d$].$ Calculate the overall conversion of glucose in this process. If the amount of

$C{O}_2$ at the outlet increased by $10\%,$ what will happen to the selectivity of

ethanol? Justify your answer quantitatively $($numerical answer$).$

Given the atomic number for the following element:

Carbon $(12),$ Oxygen $(16)$ and Hydrogen $(1)$