Problem $1.$ An agitated bed composting system treats a waste, which may be represented by the formula C$\_\{12\}*$H$\_\{10\}*$O$\_\{4\}*$N Calculate the volume of air $($at $298\mathrm{.}15$K and $1$ atm$)$ that will be required to compost $1,000$ kg of waste if: $($a$)$ the synthesis of biomass is not taken into consideration $($i$.$e$.,$ f e $=1\mathrm{.}00)($b$)$ the synthesis of biomass is taken into consideration $,$ assuming f $-=0\mathrm{.}80.$