$($a$)$ Calculate the ratio of $lb-mol{O}_2$ reacted to $lb-$molNO formed.

$($b$)$ If ammonia is fed to a continuous reactor at a rate of $100\mathrm{.}0lb-$molN$\frac{H_3}{h}r,$ what oxygen feed rate $($in $lb-mo\frac{l}{h}r)$ would correspond to $40\%$ excess $O_2?$

$($c$)$ If $50\mathrm{.}0lb{b}_m$ of ammonia and $100\mathrm{.}0lb{b}_m$ of oxygen are fed to a batch reactor and the reaction runs to completion, determine the limiting reactant, the percentage by which the other reactant is in excess, the extent of reaction $($in $lb-$mol $),$ and the mass of NO produced $($in $l{b}_m).$