Question $2$ Material balance involving chemical reaction

Carbon monoxide reacts with Hydrogen to produce Methanol. A fresh feed stream $($stream$1)$ containing $CO$ and $H_2$ and the overhead stream $($stream $3)$ containing $CO,H_2$ and $C{H}_{3}OH$ combines in a mixer and the combined stream $($stream $2)$ is fed to the reactor. The outlet of the reactor $($stream $4)$ flows at $1000mo\frac{l}{h}r$ and contains $6\%$ mols $H_2,74\%$ mols $CO$ and $20\%$ mols $C{H}_{3}OH.$ This stream enters the condenser, where the stream is condensed, and methanol $($stream $5)$ is removed from the process. The overhead stream $($stream $3)$ contains $H_2,CO$ and $0\mathrm{.}5\%$ mols $C{H}_{3}OH.$

$CO+2H_{2}C{H}_{3}OH$

a$)$ Calculate the production rate of methanol $($stream $5)$ in mol$/$hr$?$

b$)$ Calculate the molar flow rate and composition of the feed stream $($stream $1)?$

c$)$ Determine the single pass and overall conversion?