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Discussion :: GATE Chemical

A crosscurrent cascade of N ideal stages is used to treat a feed stream of molar flow rate E. The feed stream contains a solute which is to be recovered by a pure solvent having a molar flow rate S. The solvent is divided equally between these N stages. The linear equilibrium curve relating the mole fractions x and y* of the solute in the raffinate and the extract respectively, is given by y* = m x. Assume dilute conditions. The ratio of the solute mole fraction in the original feed to that in the exit raffinate stream i.e. (x₀/x_N) is given by

[1 + (mS/NE)]^N

[1 + (NS/mE)]^N

[1 + (NE/mS)]^N

[1 + (mE/NS)]^N

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