Pennsylvania coal contains $74\mathrm{.}2\%$ C$,5\mathrm{.}1\%$ H$2,6\mathrm{.}7\%$ O$2$ on a dry gravimetric basis, plus

ash and small percentages of N$2$ 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$,30\mathrm{.}8\%$ H$2,11\mathrm{.}4\%$ CO$2,16\mathrm{.}4\%$ H$2$O$,$ plus small percentages of CH$4,$ N$2,$ and H$2$S$.$ How

many kilograms of coal are required to produce $100$ kmol of product gas? How much

oxygen and steam are required?