$[25]$ A reactor in which methane is oxidized to formaldehyde and water vapor is

$C{H}_4(g)+O_2(g)$HCHO$(g)+H_{2}O(v),hat(H{)}_r=$

The following material flows are known around the reactor:

feed stream at $25C$:$20mo\frac{l}{h}-C{H}_4(g)$

feed stream at $25C$:$30mo\frac{l}{h}$ of $O_2(g)$

product stream at $150C$:$12mo\frac{l}{h}$ of $C{H}_4(g),8mo\frac{l}{h}$ of HCHO$(g),8mo\frac{l}{h}{H}_{2}O(v)$ and $22$

$mo\frac{l}{h}$ of $O_2(g)$

$($a$)[5]$ Draw the flow chart with all material flows given above at the appropriate temperatures.

$($b$)[10]$ What is the extent of reaction $,$ based on $C{H}_4?$

$($c$)[10]$ Use heats of formation and Hess's law to calculate the standard heat of reaction $hat(H{)}_r.$

$($d$)[15]$ Choose as references the components $C{H}_4(g),O_2(g),$HCHO$(g)$ and $H_{2}O(v)$ at $25C,1$atm,

and build the inlet$-$outlet enthalpy table.

$($e$)[10]$ Use the energy balance $($heat of reaction method$)$ and calculate the heat transferred $Q^{}k\frac{J}{h}.$