Coal contains $74\mathrm{.}2\%C,5\mathrm{.}1\%H,6\mathrm{.}7\%O($dry basis, mass percent$)$ plus ash and small percentages of $N$ and $S.$ This coal is fed into a gasifier along with oxygen and steam. The exiting product gas composition is measured on a mole basis to: $39\mathrm{.}9\%CO,30\mathrm{.}8\%H2,11\mathrm{.}4\%CO2,$ and $16\mathrm{.}4\%H2O$ plus small percentages of $CH4,N2,$ and $H2S.$ How many kilograms of coal are required to produce $100$kmol of product gas? How much oxygen and steam are required?

$($ans: $830\mathrm{.}4kg$ of coal$)$