QUESTION $5$

Water is used as solvent to extract sugar from a $50$ tones$/$h of wet sliced sugar cane by using extraction unit. The sugar cane has the following compositions:

$\backslash$table$[[$Component$,$Weight Fraction$],[$Water$,0\mathrm{.}48$ Water$/$ton$],[$Pulp$,0\mathrm{.}40$ ton Pulp$/$ton$],[$Sugar$,0\mathrm{.}12$ ton Sugar$/$ton$]]$

The extract layer $($Water $+$ Sugar$)$ leaving the extractor containing $5\%($by weight$)$ sugar. $45\%$ of the sugar in the sliced cane is recovered in the extract layer. The residual cane contains $3$ tones of liquor $($Water $+$ Sugar$)$ per ton of pulp in the raffinate layer. The raffinate layer contains Water, Sugar, and Pulp. Calculate the flowrate of each stream $($Solvent$,$ Extract and Raffinate$)$ in tones per hour.