Carbon monoxide and hydrogen react in a catalytic reactor to form methanol. The

process is recirculation, given that the conversion per step is only $14\%.$ The outlet stream of the reactor is $551\mathrm{.}33$ mol$/$h and contains $27\mathrm{.}14\%$ in moles of CO$,54\mathrm{.}29\%$ of H$2,$ a $14\mathrm{.}15\%$ of N$2$ and $4\mathrm{.}41\%$ of CH$3$OH$.$ Due to the low conversion in the reactor, the output stream is passed to a condenser in which all the methanol formed is separated in a liquid state for give the flow of products. The other current that leaves the condenser is in the gas phase and it contains all the CO$,$ H$2$ and N$2$ that has left the reactor. This stream is divided into two fractions: one gives place to the purge current, and the other to the recirculation current. This current is incorporated in the fresh feed stream with a ratio of $5$ mol recirculation$/1$ mol feed

fresh, to give the feed that enters the reactor, determines:

a$)$ The flow diagram of the process and the components involved in each stream.

b$)$ The molar flow and composition of the total feed to the reactor.

c$)$ The molar flow and the composition of the fresh feed.

d$)$ The global conversion.

e$)$ The purge percentage.