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Separation Process Engineering: Includes Mass Transfer Analysis, Third Edition by Phillip C. Wankat

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4.2 Binary Stage-by-Stage Solution Methods

The challenge for any stage-by-stage solution method is to solve the three balance equations and the three equilibrium relationships simultaneously in an efficient manner. This problem was first solved by Sorel (1893), and graphical solutions of Sorel’s method were developed independently by Ponchon (1921) and Savarit (1922). These methods all solve the complete mass and energy balance and equilibrium relationships stage by stage. Starting at the top of the column as shown in Figure 4-1A, we can find the liquid composition, x1, in equilibrium with the leaving vapor composition, y1, from Eq. (4-4c, stage 1). The liquid enthalpy, h1, is easily found from Eqs. (4-4a, stage 1). The remaining four Eqs. ( ...

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