Question $1(50\%)$

$H_2$ can be produced by the following steady$-$state reaction in the gas phase:

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

The feed $(F)$ contains $CO$ and $H_{2}O.$ The composition of the product $(P)$ is: $48\%C{O}_2,48\%H_2$ and $4\%$ CO$.$ The concentration of $H_2$ at the exit of the reactor $(B)$ is $3\%.$ The recycle stream $(R)$ is composed from $CO$ and $H_{2}O.$ The reactor conversion for $H_{2}O$ is $25\%.$ All compositions are in mole percent. Use $P=100$mol as a basis.

$($a$)$ Calculate the moles and the composition of the feed $(F).$

$($b$)$ Calculate the moles and the composition of the feed $(F)$ in a different way than in section $($a$).$

$($c$)$ Calculate the moles of $A,B,$ and $R.$

$($d$)$ Find the composition of stream $R.$

$($e$)$ Find the composition of streams A and $B.$