$(20$ pts$).$ Acetone must be separated from a $160-kg$ aqueous solution whose concentration in acetone is

$43\mathrm{.}75\%$ by weight. The extraction must be carried out using pure benzene at $15C.$

Determine if extract and raffinate layers can be obtained if the amount of benzene used is $0\mathrm{.}25kg$ per $kg$ of

aqueous solution to be extracted.

If yes, calculate:

i$.$ The extract and raffinate compositions.

ii$.$ The amount of acetone extracted.

If no$,$ what should be the amount of benzene needed for the LLE to be successful.

The equilibrium data for the conjugate layers for this system at $15C$ are shown below: