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A Derivation to Overall Murphree Efficiency from Individual Efficiencies for a Special Case in Staged Operations

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In order to improve the stage operation such as extraction with a minimum of plant alteration, the effluents from the stage will both be led to another sage identical in construction. The combination, two stages in series, is in effect a single stage. The combination, two stages or more in series, is in effect a single stage is a simple technique to improve the existing operation. In this work, we have presented a derivation that relates combined stage overall Murphree efficiency to individual stage efficiency.

Keywords:Staged Operation; Series Operation; Murphree Stage Efficiency; Overall Murphree Stage Efficiency.


  1. R. E. Treybal, Mass Transfer Operations (New York: McGraw-Hill, 1982).
  2. ibid., p.136
  3. Stanley Middleman, An Introduction to mass and heat transfer principles of analysis and design (New York: John Wiley & Sons, 1998).
  4. Max Peters, Elementary Chemical Engineering (New York: McGraw-Hill, 1984).
  5. E.Murphree, Rectifying Column Calculations, Ind. Eng. Chem, 17(7), 1925, 747-750.