The cumene process is used to convert benzene and propene in the presence of oxygen to phenol and acetone via the reaction

$C_6{H}_6+C_3{H}_6+O_2{C}_6{H}_{5}OH+C_3{H}_{6}O$

This reaction is carried out with excess benrene and excess oxygen to ensure that no side reactions occur. A $1\mathrm{.}15$ ratio of benzene to propene is fod to a reactor in the presence of $29\mathrm{.}5\%$ excess air and $O_2).$ The first pass conversion of propene is $100\%.$ The products leave the reactor and enter a condenser where the gascous nitrogen and oxygen leave the process and the liquid organic products ure fed to a distillation column. The distillation column separates the products from the reactants. Any unreacted reactants are fed into the fresh feed stream. The products are directed to a second distillation column that separates the acetone from the phenol. If $23\mathrm{.}3k\frac{g}{h}r$ of phenol is produced from this process, answer each of the questions.

First, label the process flow diagrum, putting either a given numeric value or the words "unknown" or "none" in each space. Do not leave any spaces blank. Variable names are shown for reference later.

What is $n_1,$ the molar flow rate of fresh foed into the process?

$n_1=$

mol$/$hr

What are the mole fractions of $C_6{H}_6(x_1),C_3{H}_6(x_2),O_2(x_3),$ and $N_2(x_4)$ in the fresh feed stream?

What is $n_6,$ the molar flow rate of the recycle stream?