Methanol is obtained from CO and hydrogen reactor inn. The fresh feed stream containing CO and Hz is fed to the reactor via the process' return flow. The reactor effluent is taken out at a rate of $350$ mol$/10\mathrm{.}6\%$ H$,64\%$ CO and $25\mathrm{.}4\%$ CH$$OH $($percentages by weight$).$ The stream is then passed through a condenser and the majority of the methanol is drawn out in liquid form. The gas stream leaving the condenser, containing CO$,$ H$,$ and $0\mathrm{.}4$ mol$\%$ uncondensed vapor, is recycled and combined with the fresh feed.

a$-)$ Calculate the molar flow rates of CO and H in the fresh feed. CO:$321$ H$2$:$64\mathrm{.}2$ mol$/$min

b$-)$ Calculate the production rate of liquid methanol: $32\mathrm{.}1$ molMetOH$/$min

Total: $100\%$

c$)$ Find the single$-$pass and overall conversion of CO$.25\mathrm{.}07$