Please answer.PROBLEM

An ammonia synthesis unit with a single converter is converting a fresh feed gas containing, on a dry basis,

$73\%H_2,24\%N_2,$ and $3\%$ Ar$.$ The gases leaving the converter are fed to a cooler such that most of the $N{H}_3$

is condensed and removed. Upon reduction of pressure, all gases dissolved in the liquid $N{H}_3$ are evolved

and separated. The residual gases from the cooler, including some uncondensed $N{H}_3$ which is approximately

$\frac{1}{5}$ of the condensed, are recycled. If a purge provided in the recycle line consists $3\mathrm{.}5\%N{H}_3$ and $25\%Ar,$

determine the following:

Percent composition of the purge stream

Single$-$pass conversion of $H_2$

Overall yield of liquid $N{H}_3$

Liquid ammonia produced from the ammonia synthesis unit is then sent to an ammonia$-$oxidation plant to

produce oxidation products that will be sent to an absorber$.$ The absorber is operated with a countercurrent

flow of water. The exhaust gas exits to the atmosphere at a composition of $0\mathrm{.}3$ mole fixed $N($due to $N{O}_2$

only$)$ and $4\mathrm{.}3$ mole active $O$ per $100$ moles of $N_2.$ The exhaust gas contains moisture $(P_{\text{w}\text{a}\text{t}\text{e}\text{r}}=1\mathrm{.}44$ psia$)$ and

exits at $1$atm. Liquid analysis of the nitric acid product gives $65\%HN{O}_3,1\mathrm{.}6\%N{O}_2,$ and the balance, water.

The entire plant uses up $1000$ kilograms of water for every $100$kmol of fresh feed to the ammonia synthesis

unit $,$ and $Ar).$

Determine the following ratios:

a$.$ Total dry air per fresh feed $($kmol air$/$kmol fresh feed$)$

b$.$ Exhaust gas per fresh feed $($kmol gas$/$kmol fresh feed$)$

c$.$ Product acid per fresh feed $($kg acid$/$kmol fresh feed$)$

Compute for the percent recovery of nitrogen oxides leaving the system as liquid products in the oxidation$-$

absorption unit.