Distillation of a binary mixture and comparisons of methods.

We wish to separate a mixture of $40$mol$\%$ benzene and $60$mol$\%$ ethylene dichloride in a distillation column with a partial reboiler and a total condenser. The feed rate is $750mo\frac{l}{h},$ and feed is a saturated vapor. We desire a distillate product of $99\mathrm{.}2$mol$\%$ benzene and a bottoms product that is $0\mathrm{.}5$mol$\%$ benzene. Reflux is a saturated liquid, and CMO can be used. Equilibrium data can be approximated with an average relative volatility of $1\mathrm{.}11($benzene is more volatile$).$ Note: You could also use $($check$)$ Raoult's Law modeling for the system as another source of equilibrium information.

a$)$ Find the minimum external reflux ratio.

b$)$ Use the Fenske equation to find the number of stages required at total reflux.

c$)$ Estimate the total number of stages required for this separation, using the Gilliland correlation for $R=1\mathrm{.}2R_{\text{m}\text{i}\text{n}}.$Distillation of a binary mixture and comparisons of methods.

We wish to separate a mixture of $40$mol$\%$ benzene and $60$mol$\%$ ethylene dichloride in a distillation column with a partial reboiler and a total condenser. The feed rate is $750mo\frac{l}{h},$ and feed is a saturated vapor. We desire a distillate product of $99\mathrm{.}2$mol$\%$ benzene and a bottoms product that is $0\mathrm{.}5$mol$\%$ benzene. Reflux is a saturated liquid, and CMO can be used. Equilibrium data can be approximated with an average relative volatility of $1\mathrm{.}11($benzene is more volatile$).$ Note: You could also use $($check$)$ Raoult's Law modeling for the system as another source of equilibrium information.

a$)$ Find the minimum external reflux ratio.

b$)$ Use the Fenske equation to find the number of stages required at total reflux.

c$)$ Estimate the total number of stages required for this separation, using the Gilliland correlation for $R=1\mathrm{.}2R_{\text{m}\text{i}\text{n}}.$