Q$3$: Recovery of acetone from air$-$acetone mixture is achieved using an absorber and a flash separator. A model for this system is developed under the following conditions:

All acetone is absorbed in water.

Air entering the absorber contains no water vapor

Air leaving the absorber contains $3$ mass $\%$ water vapor

The flash separator acts as a single equilibrium stage where acetone mass fraction in vapor, $y,$ and acetone mass fraction in liquid, $x,$ are related by relation

$y=20\mathrm{.}5x$

It is required that the waste water should have acetone of $3$ mass$\%.$ Determine the concentration of acetone in the vapor stream and flow rate of the product stream.