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effect of changing variables will be, as a diagnostic when the computer program appears to be
                    malfunctioning, and as a diagnostic when the column appears to be malfunctioning (Kister, 1995).
                    Because of its visual impact, we have used the McCabe-Thiele diagram extensively to explore a variety
                    of distillation systems.

                    4.16 Summary—Objectives


                    In this long chapter we developed the stage-by-stage balances for distillation columns and showed how to
                    solve these equations when CMO is valid. You should now be able to satisfy the following objectives:
                     1. Write the mass and energy balances and equilibrium expressions for any stage in a column

                     2. Explain what CMO is, and determine if CMO is valid in a given situation
                     3. Derive the operating equations for CMO systems

                     4. Calculate the feed quality and determine its effect on flow rates. Plot the feed line on a y-x diagram
                     5. Determine the number of stages required, using the Lewis method and the McCabe-Thiele method

                     6. Develop and explain composition, temperature, and flow profiles
                     7. Solve any binary distillation problem where CMO is valid. This includes:

                       a. Open steam
                       b. Multiple feeds

                       c. Partial condensers and total reboiler
                       d. Side streams

                       e. Intermediate reboilers and condensers
                       f. Stripping and enriching columns

                       g. Total and minimum reflux
                       h. Overall and Murphree efficiencies

                       i. Simulation problems

                       j. Any combination of the above
                     8. Include the effects of subcooled reflux or superheated boilup in your McCabe-Thiele and Lewis
                        analyses

                     9. Develop flowcharts for any binary distillation problem

                    References

                         Binous, H., “Equilibrium-Staged Separations Using MATLAB and Mathematica,” Chem. Engr.
                         Educ., 42 (2), 69 (Spring 2008).

                         Brown, G. G. et al., Unit Operations, Wiley, New York, 1950.
                         Burns, M. A., and J. C. Sung, “Design of Separation Units Using Spreadsheets,” Chem. Engr. Educ.,
                         30 (1), 62 (Winter 1996).

                         Foust, A. S., L. A. Wenzel, C. W. Clump, L. Maus, and L. B. Andersen, Principles of Unit
                         Operations, 2nd ed., Wiley, New York, 1980.
                         Himmelblau, D. M., Basic Principles and Calculations in Chemical Engineering, 3rd ed., Prentice

                         Hall, Upper Saddle River, NJ, 1974.
                         Horwitz, B. A., “Hardware, Software, Nowhere,” Chem. Engr. Progress, 94 (9), 69 (Sept. 1998).
                         Kister, H. Z., Distillation Operation, McGraw-Hill, New York, 1990.
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