$1-$ A distillation column with a total condenser and a partial reboiler is separating

acetone $($more volatile component$)$ from ethanol. As pictured, there are two feeds

with flowrates $F_1=100mo\frac{l}{h}r$ and $F_2=200mo\frac{l}{h}r.$ Feed $1$ has $z_1=0\mathrm{.}7$ and a

saturated liquid. Feed $2$ has $z_2=0\mathrm{.}4$ and is a superheated vapor where

approximately $1$mol of liquid will vaporize on the feed stage for each $10$mol of

feed. We desire $x_D=0\mathrm{.}95$ and $x_B=0\mathrm{.}05.(\frac{L}{V})=2**(\frac{L}{V}{)}_{\text{m}\text{i}\text{n}}$; Use feed $1$ to determine

$($L$/$V$)$min$.$ How many stages are needed to achieve this separation, and what is

the optimal feed stage for feed $1?$