The block flow diagram shown above is used to separate benzene $($B$)$ and toluene $($T$).$ Answer the

following:

$($a$)$ Write the overall mole balance for the separator

$($b$)$ Estimate the molar flow rate of stream $2(F_2)$ and stream $3(F_3)$

$($c$)$ Determine the mole fractions of benzene $($B$)$ and toluene $($T$)$ in the feed stream $1.$

Note: State your assumptions clearly.