The relative saturation of methanol vapor in a gas stream is $89\%.$ The methanol is removed from the gas stream via condensation. The mixture is initially at a temperature of $11\mathrm{.}2\backslash$deg C and a gauge pressure of $0\mathrm{.}15$ atm and is fed to a constant temperature condenser. Inside the condenser the mixture is compressed, resulting in the condensation of $63\%$ of the methanol initially fed. Use a basis of $20$ mol$/$s for the condenser feed.

a$)$ Draw and completely label a flowchart for this process.

b$)$ Calculate the composition of the methanol and gas mixture fed to the condenser $($mol fractions$).$

c$)$ Calculate the composition of the methanol and gas mixture that exits the condenser $($mol fractions$).$

d$)$ Calculate the pressure $($atm$)$ the condenser must operate at to condense the desired amount of material.