Recovery of acetone from air $-$acetone mixture is achieved using an absorber and a flash separator $($See figure$).$ A model for this system is developed under 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 such that acetone mass fraction in vapor and liquid leaving the flash separator is related by relation

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

where $y$ is mass fraction of the acetone in the vapor stream and $x$ mass fraction of the acetone in the liquid stream. Operating conditions of the process are as follows Air in flow: $600k\frac{g}{h}r$ with $8$ mass $\%$ acetone

Water flow rate: $500k\frac{g}{h}r$

It is required that the waste water should have acetone content of $3$ mass $\%$ and we are required to determine concentration of the acetone in the vapor stream and flow rates of the product streams.