$4)$ A vapor mixture of ethanol $($E$)$ and butanol $($B$)$ contains $50$ mole $\%$ ethanol at $150\backslash$deg C and

$1\mathrm{.}0$ atm. A stream of this mixture flowing at a rate of $160\mathrm{.}0$ L$/$s is cooled and compressed,

causing some but not all of the vapor to condense $($Treat this process as a single$-$unit operation$).$

Liquid and vapor product streams emerge from the process in the equilibrium at T $(\backslash$deg C$)$ and $600$

mmHg$.$ The vapor product contains $60\mathrm{.}0$ mole $\%$ ethanol.

$($a$)$ Draw and label a flowchart. Perform a degree$-$of$-$freedom analysis $($Gibbs phase rule$).$

$($b$)$ Calculate the molar flow rate of feed. Just write the Raoult$$s Law $($for ethanol and

butanol$)$ by using Antoine Equation and mole balances $($for ethanol and butanol$).$

$($c$)$ Complete the calculations manually and Excel$-$Solver program $($Show your Excel$-$Solver

calculation$).$