GATE Chemical 2013 | Question: 38

Question

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 fraction x and y* of the solute in the raffinate and the extract respectively, is given by y* = mx. Assume dilute conditions.The ratio of the solute mole fraction in the original feed to that in the exit raffinate stream i.e. (x${_0}/x{_N}$) is given by

• A. [1+($\frac {mS}{NE}$)]$^{N}$
• B. [1+($\frac {NS}{mE}$)]$^{N}$
• C. [1+($\frac {NE}{mS}$)]$^{N}$
• D. [1+($\frac {mE}{NS}$)]$^{N}$