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every 4 moles of feed. The column has a partial condenser and uses open steam heating. We
                             desire a distillate product y  = 0.75 and a bottoms product x  = 0.10. CMO is valid. The steam
                                                                                                 B
                                                            D
                             used is pure saturated water vapor. Data are in Table 2-1 and Figure 2-2.
                             a. Find the minimum external reflux ratio.

                             b. Use L/D = 2.0(L/D)    min , and find the number of real stages and the real optimum feed location if
                               the Murphree vapor efficiency is 2/3 for all stages.
                             c. Find the steam flow rate used.

                      D34.* A distillation column with two equilibrium stages and a partial reboiler (three equilibrium
                             contacts) is separating methanol and water. The column has a total condenser. Feed, a 45 mol%
                             methanol mixture, enters the column on the second stage below the condenser. Feed rate is 150
                             mol/h. The feed is a subcooled liquid. To heat 2 moles of feed to the saturated liquid temperature,
                             1 mole of vapor must condense at the feed stage. A distillate concentration of 80 mol% methanol
                             is desired. Reflux is a saturated liquid, and CMO can be assumed. An external reflux ratio of L/D
                             = 2.0 is used. Find the resulting bottoms concentration x . Data are in Table 2-7.
                                                                                            B

                    E. More Complex Problems

                        E1. A system known as a pump-around is shown below. Saturated liquid is withdrawn from stage 2
                             above the partial reboiler, and the liquid is returned to stage 3 (assume it is still a saturated
                             liquid). Pump-around rate is P = 40.0 kmol/h. The column is separating methanol and water at
                             101.3 kPa. The feed flow rate is 100.0 kmol/h. The feed is 60.0 mol% methanol and 40.0 mol%
                             water. The feed is saturated liquid. We desire a bottoms product that is 2.5 mol% methanol. The
                             distillate product should be 95.0 mol% methanol. The column has a total condenser and the reflux
                             is a saturated liquid. Assume CMO. Use (L/D) = 2.0 x (L/D)             . Data are given in Table 2-7. Find
                                                                                                 min
                             x , the optimum feed stage and total number of equilibrium stages required.
                              p




























                       E2.* A distillation column is separating methanol and water. The column has open (direct) steam
                             heating and a total of five stages. A liquid side stream is withdrawn from the second plate above
                             the bottom of the column. The feed is 30 mol% methanol and is a subcooled liquid. One mole of
                             vapor is condensed to heat 2 moles of feed to the saturated liquid temperature on the feed plate.
                             Feed rate is 1000 mol/h. A bottoms concentration of 1.5 mol% is desired. The steam used is pure
                             saturated water vapor and the steam flow rate is adjusted so that Steam flow rate/Bottoms flow
                             rate = 0.833. The side stream is removed as a saturated liquid. The side-stream flow rate is
                             adjusted so that Side-stream flow rate/Bottoms flow rate = 0.4. A total condenser is used. Reflux
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