It is desired to produce $10000$ kg$/$hr concentrated sugar solution

containing $90$ mass $\%$ sugar and the balance is water, from a feed

solution containing $6\mathrm{.}4$ mass $\%$ sugar and the balance is water. The feed

is initially sent to an evaporator where it is evaporated to a $54$ mass $\%$

sugar solution. The water removed exits the evaporator as pure water

stream. The solution leaving the evaporator with $54$ mass $\%$ sugar, is

therefore cooled at $20\backslash$deg C in a crystallizer, where a product stream

containing $98$ mass $\%$ sugar is with drawn at a rate of $10000$ kg$/$h and

another stream considered as waste and containing $1\mathrm{.}5$ mass $\%$ of sugar

is also obtained. Ten percent of the mass flow rate of the waste stream is

discarded while ninety percent is recycled back to the evaporator.

$2\mathrm{.}1.$ Draw and completely label the schematic diagram of the process.

$2\mathrm{.}2.$ Calculate all unknown stream flow rate.