# cp61010 - CP 6.1 ECE 3331 Computer Project 6 SPRING...

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CP 6. 1 ECE 3331 Computer Project 6 - SPRING 2010 (due 4/30) A multi-stage extraction process is illustrated below . In such systems, a stream containing a weight fraction Y in of a chemical enters from the left at a mass flow rate of F 1 . Simultaneously, a solvent carrying a weight fraction X in of the same chemical enters from the right at a flow rate of F 2 . Thus, a mass balance for the ith stage can be represented as F Y F X F Y F X i i i i 1 1 2 1 1 2 * * * * - + + = + <<---------- Flow = F 2 ---------- X out X 2 X 3 X i X i+1 X n-1 X n X in << --------<<--------- << <<--------- << <<-----------<<--------- << | 1 | | 2 | | i | | n-1 | | n | >> -------->>--------- >> >>--------- >>----------->>---------->> Y in Y 1 Y 2 Y i-1 Y i Y n-2 Y n-1 Y out -------------Flow = F 1 -------->> At each stage, an equilibrium is assumed to be established between Y i and X i as in K = X i / Y i , where K is called a distribution coefficient . Thus, KY i can be substituted for X i in the mass balance to obtain Y F F K Y F F K Y i i i - + - + + = 1 2 1 2 1 1 1 0 Of course, this last equation must be modified for the first and last stage to account for the inflow weight fractions .
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