Problem No$.1$

A feed of ethanol$-$water containing $60wt\%$ ethanol is to be distilled at $101\mathrm{.}32$kPa pressure to give a distillate containing $85wt\%$ ethanol and a bottoms containing $2wt\%$ ethanol. The feed rate is $10000k\frac{g}{h}$ and its enthalpy is $116\mathrm{.}3k\frac{J}{k}g.$ Use consistent units of $k\frac{g}{h},$ weight fraction, and $k\frac{J}{k}g.$

Calculate the amount of distillate and bottoms.

Determine the minimum reflux ratio using enthalpy$-$concentration data from Appendix A$\mathrm{.}3.$

Using $2\mathrm{.}0$ times the minimum reflux ratio, determine the theoretical number of trays needed.

Calculate the condenser and re$-$boiler heat loads.

Determine the minimum number of theoretical plates at total reflux.

Solution:

From appendix A$\mathrm{.}3-23,$ find the enthalpy$-$concentration data for ethanol water system $($Tabulated below$)$ and drawn $($attached figures$)$

Enthalpy$-$concentration data

$\backslash$table$[[x_A,h$ liquid $(k\frac{J}{k}g),H$ vapor $(k\frac{J}{k}g)$