Question $1$

The reaction of Ammonia to Nitric Oxide is produced as a minor substance in a fertilizing plant. Nitric Oxide is used in Pharmacology

The Haber Process is used to produce Ammonia which is then used to produce Nitric Oxide, which is represented in the following reactions:

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

$4N{H}_3(g)+5O_2(g)4NO(g)+6H_{2}O(g).$

$q,$

Instead of recycling unreacted substances for this process, the plant decides to send these substances to their main fertilizing reactors.

$N_2$ and $H_2$ are entered in streams $1$ and $2$ respectively. Reaction $1$ takes place in Reactor $1$ which is a single pass conversion of $45\%.$ The remaining $N_2$ and $H_2$ are then separated from the formed $N{H}_3$ in Separator $1$ through streams $4$ and $5$ respectively.

Reaction $2$ takes place in Reactor $2$ with a single pass conversion of $85\%.O_2$ is added to reactor $2$ from stream $7.$ Separator $2$ removes the unreacted $H_{2}O($stream $9)$ and the formed $O_2($stream $10).$ Separator $3$ removes unreacted $N{H}_3($stream $12)$ and the produced $NO($stream $13).O_2$ in stream $10$ is $1\mathrm{.}5$ times more than $N{H}_3$ in stream $12.$ Stream $12$ is $20mo\frac{l}{h}r$ of $NH3.$ Assume $100\%$ separation of the substances in their respective separators.

Using this information find the flow rates and composition of each stream in the below diagram. Do a DOF calculation and show every step for the calculation.