Formaldehyde $(C{H}_{2}O)$ can be produced industrially by partial oxidation with air over a silver catalyst. Suppose about $\frac{2}{3}$mol farmeldahyde ts produced per $1$mol methanol reacted and that, in addition, some formic acid, $H_2,CO,$ and $C{O}_2$ are produced. In order to ensure high utilization of the reactant, the product gas is scrubbed with $H_{2}O$ to separate the off$-$gases. The residue Is distilled to produce a pure recycle methanol. Assuming that the reactor inlet gas to the reactor is $35\%($ mol methanol, calculate the moles of formaldehyre nrodiced ner mot of methanol, given the off$-$gas composition $20\mathrm{.}2\%H2,4\mathrm{.}8\%C{O}_2,0\mathrm{.}2\%CO,74\mathrm{.}5\%N2,$ and $0\mathrm{.}3\%O_2.$

Use mass balances to solve