Question $3$:

Ammonium Nitrate $(N{H}_{4}N{O}_3)$ is a form of fertiliser which can also be used as an explosive. It is

derived from the Haber Bosch reaction $[1],$ which produces Ammonia $(N{H}_3),$ which is then oxidized

to form nitric acid. The formed Nitric Acid $(HN{O}_3)$ is reacted with Ammonia to form Ammonium

Nitrate. The three reactions that occur in the production of Ammonium Nitrate are as follows:

$N_2(g)+3H_2(g)2N{H}_3(g)$

$2N{H}_3(g)+3O_2(g)2HN{O}_3(g)+2H_2(g)$

Stream $1$ contains $61\mathrm{.}24$mol$\%$ of hydrogen; $22\mathrm{.}38$mol$\%$ of nitrogen and $16\mathrm{.}38$mol$\%$ of inert gases

$($argon$).$ Reaction $1$ occurs in reactor $1$ and forms $288mo\frac{l}{m}in$ of ammonia and thus contains $15\%$ of

nitrogen. The reactor effluents pass to condenser $1$ which removes all of the ammonia to stream $3$ and

none of the reactants and inert gases. To avoid build$-$up of the inert in the system, a purge stream is

withdrew from the recycle $($stream $11).$ Reactor $2$ is fed with $50mo\frac{l}{m}in$ of oxygen in stream $9$ and

ammonia. Reactions $2$ and $3$ occur in reactor $2.$ The reactor effluents pass through the condenser that

removes all the Ammonium Nitrate while everything else is recycled in stream $7.$

The following information is given about the process:

The feed to the reactor contains $22\mathrm{.}76$mol$\%$ of nitrogen.

The total molar flow rate of stream $10$ is $300mo\frac{l}{m}in$ and consists of $70$mol$\%$ of hydrogen;

$25$mol$\%$ of nitrogen and $5$mol$\%$ of inert gases.

Calculate the total flow rates and compositions of streams $1$;$2$;$3$;$4$;$10$;$11$ and $12.$ Also find the