Methane enters an old furnace at a rate of $200\mathrm{.}0k\frac{g}{h}.$ It is accompanied by $28\mathrm{.}0\%$ excess air containing $1\mathrm{.}387$mol$\%$ water and the

remainder a $3\mathrm{.}76$:$1$ molar ratio of $N_2$ to $O_2.$ Mixing of the combustion gases is very poor so that incomplete combustion is significant.

The combustion reactions proceed according to

$C{H}_4+2O_{2}C{O}_2+2H_{2}O$

$C{H}_4+\frac{3}{2}{O}_{2}CO+2H_{2}O$

Take the stoichiometric coefficients to have units of kmoles.

A significant amount of uncombusted methane leaves the furnace. The exhaust gas contains $2\mathrm{.}01wt\%CO$ and $0\mathrm{.}51wt\%C{H}_4,$ on a dry

basis.

Molar Feed

Your answer is partially correct.

Calculate the molar flow rate of each species in the feed.

Calculate the total mass flow rate into the furnace:

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Reaction Extents

Draw and label a flow diagram and use appropriate balances to calculate the rate of change of the extents of reactions $(1)$ and $(2)$

above. Take the stoichiometric coefficients in each reaction to have units of kmoles.

${}_1=$

${}_2=$

Hint

Attempts: unlimited

Exhaust Composition

Determine the mass flow rate of water in the exhaust gas and the composition of the remainder in wt $\%$ on a dry basis.

Mass flow rate of water:

$k\frac{g}{h}$

Weight Percent on a Dry Basis