A feed of \(13,500 \mathrm{~kg} / \mathrm{h}\) consists of \(8 \mathrm{wt} \%\) acetic acid in water. Acetic acid will be removed from the solution by extraction with pure methyl isobutyl ketone at \(298 \mathrm{~K}\).

If the raffinate is to contain only \(1 \mathrm{wt} \%\) of acetic acid, estimate the kilograms/hour of solvent required if a single equilibrium stage is used. Assume that water and methyl isobutyl ketone are insoluble. For this system, \(K_{D}=0.657 \mathrm{~kg}\) water \(/ \mathrm{kg}\) methyl isobutyl ketone (Perry and Chilton, 1973).