Methane and oxygen enter a reactor perating at $1$atm in which these two reactions occur:

$C{H}_4+O_2$HCHO$+H_{2}O$

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

The mole fraction of $C{H}_4$ in the feed to the reactor is $0\mathrm{.}42$ with the balance $O_2.$ The system has two process specifications: $(1)$ the fractional conversion of methane is $0\mathrm{.}873,$ and $(2)$ the fractional yield of the desired product, HCHO, is $0\mathrm{.}848.$

a$.$ Calculate the molar flowrate for each species at the outlet.

b$.$ Calculate the selectivity of HCHO to $C{O}_2.$

c$.$ Assume that water is the only condensable species and calculate the dew point temperature at the reactor outlet.