In the famous Haber process $($Figure E$5\mathrm{.}10)$ used to manufacture ammonia, the reaction is carried out at pressures of $800$ to $1000$atm and at $500C$ to $600C$ using a suitable catalyst. Only a small fraction of the material entering the reactor reacts on one pass, so recycle is needed. Also, because the nitrogen is obtained from the air, it contains almost $1\%$ rare gases $($chiefly argon$)$ that do not react. The rare gases would continue to build up in the recycle until their effect on the reaction equilibrium became adverse, so a small purge stream is used.

Figure E$5\mathrm{.}10$

The fresh feed of gas composed of $75\mathrm{.}16\%H_2,24\mathrm{.}57\%N_2,$ and $0\mathrm{.}27\%Ar$ is mixed with the recycled gas and enters the reactor with a composition of $79\mathrm{.}52\%H_2.$ The gas stream leaving the ammonia separator contains $80\mathrm{.}01\%H_2$ and no ammonia. The product ammonia contains no dissolved gases. Per $100$ moles of fresh feed:

How many moles are recycled and purged?

What is the percent conversion of the limiting reactant per pass?