e fresh feed to an ammonia production process contains $24\mathrm{.}75$ mole $\%$ nitrogen, $74\mathrm{.}25$ mole$\%$ hydrogen, and thebalance inerts $($I$).$ The feed is combined with a recycle stream containing the same species, and the combined stream isfed to a reactor in which a $25\%$ single$-$pass conversion of nitrogen is achieved. The products pass through a condenser inwhich essentially all of the ammonia is removed, and the remaining gases are recycled. However, to prevent the buildupof the inerts in the system, a purge stream must be taken off. The recycle stream contains $12\mathrm{.}5$ mole$\%$ inerts. Calculate theoverall conversion of nitrogen, the ratio $($moles purge gas$/$mole of gas leaving the condenser$),$ and the ratio $($moles freshfeed$/$mole fed to the reactor$)$