Water-dioxane solutions form a minimum-boiling-point azeotrope at atmospheric pressure and cannot be separated by ordinary distillation methods. Benzene forms no azeotrope with dioxane and can be used as an extraction solvent. At \(298 \mathrm{~K}\), the equilibrium distribution of dioxane between water and benzene is as follows (Treybal, 1980):

(a) Determine the minimum solvent rate required.