In a pilot$-$plant study, for every $100kg$ of acetone$-$water of $50\%$ acetone and $50\%$ water fed to the first extraction stage, $100kg$ of MIBK $($methylene isobutyl ketone$)$ is fed to the first stage and $75kg$ is fed to the second stage. The extract from the first stage is found to contain $27\mathrm{.}5wt\%$ acetone. The second$-$stage raffinate has a mass of $43\mathrm{.}1kg$ and contains $5\mathrm{.}3\%$ acetone, $1\mathrm{.}6\%$ MIBK, and $93\mathrm{.}1\%$ water, and the second$-$stage extract contains $9\mathrm{.}0\%$ acetone, $88\mathrm{.}0\%$ MIBK, and $3\mathrm{.}0\%$ water. The Raffinate stream from the first extraction stage is fed into the second extraction stage. The extract stream from the two extraction is mixed by a mixer before fed as a feed into a distillation column. The overhead product from the distillation column contains $2\mathrm{.}0\%$MIBK,$1\mathrm{.}0\%$ water, and the balance acetone. Taking a basis of calculation of $100kg$ acetone$-$water feed, sketch the process diagram and calculate the unknown compositions and flow rates.