We want to culture $30$ g of cells with a composition of in a reactor with a volume of $5$ L$.$ Growth conditions is aerobic, and ammonia is the nitrogen source. The growth rate is $0\mathrm{.}5$ g cells$/$L$-$hr$.$ The respiration rate of blastoculture is

It is $1\mathrm{.}48.$ Answer the following questions using the blast culture equation given below.

$1)$ Find the stoichiometric coefficients $($a$,$ b$,$ c$,$ d$,$ e$)$ of the components included in the cell culture reaction equation for $1$ mole of substrate.

$2)$ Find the yield coefficients YX$/$S and YX$/$O$2($calculated on mass basis$).$

$3)$ Find the degree of reduction of the substrate and cells.

$4)$ Find the total amount of oxygen required to produce $30$ g of cells. $($Unit: g O$2).$

$5)$ Find the oxygen supply rate. $($Unit: g O$2/$L$-$hr$).$