Q$4$:

$(25$ Marks$)$

Methyl ethyl ketone $($MEK$)$ is to be recovered from a gas mixture containing $20\mathrm{.}0$ mole$\%$ MEK and $80\mathrm{.}0$mole$\%N$ at $85C$ and $3\mathrm{.}5$atm. In a proposed process design, a stream of this mixture is fed to a condenser at a rate of $500\frac{L}{s}$ and is cooled to $15C$ at constant pressure, causing most of the MEK to condense where the effluent streams are in equilibrium.

$($Assume the gas mixture in feed stream is ideal gas$)(R=8\mathrm{.}314\frac{J}{m}o\frac{l}{K})$

Write the equations that simulate above process.

Perform the degree of freedom for process $($List your answer in table$).$

$3-$ Determine the flowrate and composition of unknown stream.