Question $3(20$ marks$)$

Hydrogen can be produced by the shift reaction as below:

$CO+H_{2}OC{O}_2+H_2$

The process is shown in the flow diagram below. The conditions of conversion have

been adjusted so that the $H_2$ content of the effluent from the reactor is $3$ mole $\%.$

a$)$ Calculate the extent of reaction, the amount of the feed stream $($F$),$ recycle

stream $($R$),$ and reactor effluent $($E$)$ in moles.

b$)$ Calculate the moles of recycle per mole of hydrogen produced.