Please show all work.

We wish to distill an ethanol$-$water mixture to produce $2250\mathrm{.}0lbm$ of distillate product per

day. The distillate product is $80\mathrm{.}0$mol$\%$ ethanol and $20\mathrm{.}0$mol$\%$ water. $\frac{L}{D}=2\frac{L}{D}=2\mathrm{.}0,$ and

$p=1$atm. Your boss suggests trying a packed column with $1\mathrm{.}0-$in$.$ plastic Pall rings.

Calculate the diameter at the top of the column.

Physical properties: $M{W}_E=46,M{W}_W=18,$ assume ideal gas, ${}_L=0\mathrm{.}52cP$ at $176C,{}_L=$

$0\mathrm{.}82\frac{g}{ml}.$

a$.$ Operation is at $75\%$ of flooding. What diameter is required?

b$.$ If Eq$.($Column diameter$/$Packing diameter$)>8$ is not satisfied, what size of plastic Pall

rings should be used?

c$.$ Operation is at a pressure drop of $0\mathrm{.}25$ in$.$ of water per foot of packing. Use the size of

Pall rings found in part $b.$ What column diameter is required? $($Ans$.8$ inches$)$