A sieve plate distillation column is separating a feed that is $50\mathrm{.}0$ mol$\%n-$hexane and $50\mathrm{.}0$

mol$\%n-$heptane. The feed is a saturated liquid. Plate spacing is $24\mathrm{.}0in.$ Average column

pressure is $1\mathrm{.}0$atm. Distillate composition is $x_D=0\mathrm{.}999($mole fraction $n-$hexane$)$ and $x_B=$

$0\mathrm{.}001.$ The feed rate is $1000\mathrm{.}0\frac{\text{l}\text{b}\text{m}\text{o}\text{l}}{h}.$ The internal reflux ratio $\frac{L}{V}=0\mathrm{.}8.$ Determine the

required diameter at the column bottom for the distillation column. $($Ans$.12\mathrm{.}5ft)$

$($Hint: you need $\frac{?}{\text{b}\text{a}\text{r}}\frac{L}{\frac{?}{?}}$bar $(V))$

For n$-$heptane: $MW=100\mathrm{.}2,$ bp $98\mathrm{.}4C,$ sp gravity $=0\mathrm{.}684,$ viscosity $(98\mathrm{.}4C)=0\mathrm{.}205cP,$

$(98\mathrm{.}4C)=12\mathrm{.}5\frac{\text{d}\text{y}\text{n}\text{e}\text{s}}{cm}.$