Consider a bacterial culture under aerobic conditions, whose cells $($X$)$ have the standard

biomass elemental formula CH$1\mathrm{.}8$O$0\mathrm{.}5$N$0\mathrm{.}2(7\%$ w$/$w ash$).$ The carbon source is glucose

$($C$6$H$12$O$6),$ and the nitrogen source is ammonia $($NH$3).$ It is known that $90$ g of glucose is

consumed per mole of O$2$ consumed; the initial biomass concentration in the reactor is $1\mathrm{.}8$

gDW$/$L$.$ Assume that besides cell growth, CO$2$ and H$2$O are the only products.

a$)$ Write out the biochemical equation on a Cmol basis and label all unknown yield coefficients