Recovery of a desired a desired solute from solution can sometimes be accomplished by using a second solvent, which is immiscible with the solution but preferentially, dissolves the solute. This is the principle of solvent extraction. In the system shown below benzene is separated from a refinery stream containing 70% (mass) benzene in a mixture of paraffin and naphthene hydrocarbons by means of liquid SO2. When 3 kg SO2 is used per 1 kg process feed, a residual, or raffinate stream containing 1/6 (mass fraction) SO2 and the remainder benzene is obtained. The extract stream contains all of the non benzene material, some SO2, and about ¼ kg benzene per 1 kg non-benzene hydrocarbons. Under those conditions, what is the percentage recovery of benzene (kg benzene in raffinate per kg benzene in feed)?

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