Pervaporation is going to be used to separate ethyl acetate $($EA$)$ from water. The

Feed rate is $100,000$ gal$/$day of water containing $2\mathrm{.}0\%$ wt EA at $30\backslash$deg C and $20$ psia. The

membrane is made of polydimethylsiloxane with $1$m skin thickness in a spiral wound module

which approaches a cross flow. The permeate pressure is $3$ cmHg$.$ The total flux of the membrane

measured at these conditions is $1\mathrm{.}0$ L$/$m$2$

$-$h and a separation factor of $100$ for EA with respect to water.

A retention of $0\mathrm{.}2\%$ wt is desired. of EA for a permeate of $45\mathrm{.}7\%$ wt$.$ from EA$.$ Determine the area

required membrane in m$2$ and estimate the temperature drop of the food.