P$1$ Calculations

A process to produce acrylonitrile $(C_3{H}_3(N))$ is considered where the feed contains $10\mathrm{.}0$mol$\%$ propylene $(C_3{H}_6),12\mathrm{.}0$mol$\%$ ammonia $(N{H}_3),$ and $78\mathrm{.}0$mol$\%$ air. A fractional conversion of $30\mathrm{.}0\%$ of the limiting reactant is achieved. Taking $100$mol of feed as a basis, determine which reactant is limiting$,$ the percentage by which each of the other reactants is in excess, and the molar amounts of all product gas. Use any method of solution. Acrylonitrile $(C_3{H}_3(N))$ is produced by the reaction of propylene, ammonia, and oxygen:

$C_3{H}_6+\frac{3}{2}{O}_2+N{H}_3{C}_3{H}_{3}N+3H_{2}O$