Q$1.$ An excess of O$2$ is supplied to the boiler to convert all the coal into a flue gas consisting of carbon dioxide, steam, and any unreacted oxygen. The mass flow rate of coal to the boiler is $50$ kg$/$s$,$ and O$2$ is fed in $8\mathrm{.}33$ mole$\%$ excess. The chemical formula of coal can be approximated as C$5$H$8$O$2$ and its molecular weight is $100$ g$/$mol$.($a$)$ Write down the chemical reaction in the process and justify whether the reaction iscomplete combustion or incomplete combustion.$($b$)$ Draw and label the block flow diagram and carry out the degree$-$of$-$freedom analysis usingbalances on atomic species.$($c$)$ Determine the molar flow of oxygen supplied to the boiler.$($d$)$ Determine the molar composition of the flue gas on a dry basis.