Combustion reactors produce a significant amount of heat that can serve many uses in a large plant,

so engineers Ann and Sylvester are completing some calculations. n$-$Pentane $(P,C_5{H}_{12})$ and dry air

enter a continuous, steady$-$state reactor as a single stream. Flowing into the reactor at $133C$ is $1790$

$mo\frac{l}{h}rn-$pentane, some oxygen $(O_2),$ and the balance nitrogen $(N_2).$ Oxygen is fed at $43\mathrm{.}7\%$ excess.

For every mole of oxygen in the feed, $3\mathrm{.}75$ moles nitrogen are fed. Only complete combustion occurs,

so the reactor effluent contains all components of the feed stream, water $(W,H_{2}O),$ and carbon

dioxide $(C{O}_2).$ The reactor is specified to maintain a conversion of $n-$pentane as $83\mathrm{.}9\%.$ The stream

exiting the reactor is measured as $237C.$ Assume all components are in the gas phase and no phase

changes occur in the reactor.

Determine some unknown component molar flow rates.