Urea, $(N{H}_2{)}_{2}CO,$ is widely used fertilizing agent made from ammonia. Commercially, urea is produced from the chemical reaction between ammonia $(N{H}_3)$ and carbon dioxide $(C{O}_2)$ as shown below:

$2N{H}_3+C{O}_2(N{H}_2{)}_{2}CO+H_{2}O$

To produce urea, two gas streams, one at $230mo\frac{l}{m}in$ and containing $85$mol$\%N{H}_3$ and $15$mol$\%C{O}_2,$ and the other stream at $100mo\frac{l}{m}in$ and containing $80$mol $\%C{O}_2$ and $20$mol$\%H_{2}O,$ are fed to a reactor operating at steady state. The fractional conversion of ammonia is $0\mathrm{.}92.$ The $($Atomic mass, $N=14,H=1,C=12,0=16$

$($a$)$ Construct and label the process flow diagram completely.

$($b$)$ Proof that the ammonia is limiting reactant in the chemical reaction.

$($c$)$ Perform the calculation to determine the flow rate $(mo\frac{l}{m}in)$ of each component out of the reactor as well as the total flow out by using an atomic species balance method.

$($d$)$ Calculate the product composition $($ mol$\%)$