Page 130 - Distillation theory
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P1: FCH/FFX  P2: FCH/FFX  QC: FCH/FFX  T1: FCH
            0521832772c04  CB644-Petlyuk-v1                                                      June 11, 2004  17:49





                        104    Trajectories of Thermodynamically Reversible Distillation

                                                  2




                                           α            x max
                                            23           B3
                                                            best
                                                           x B
                                                              x branch
                                                               rev
                                                               α
                                                                13





                               1                                       3
                                               α 23
                                                       13
                               Figure 4.24. Boundary of semisharp reversible distilla-
                               tion region (shaded) of acetone(1)-benzene(2)-chloro-
                               form(3) mixture; x best  ∈ Reg 1,bound .
                                            B       rev,B

                                 The location of semisharp reversible distillation boundaries for three-
                               component mixtures was investigated in the works (Petlyuk et al., 1981b; Poell-
                               mann & Blass, 1994). The simplest way to define the location of point x best  for a
                                                                                             B
                               given feed point x F consists of the conduction of a series of trial calculations of
                               reversible distillation trajectories for different points x B at the straight line pass-
                               ing through the liquid–vapor tie-line of the feeding. For the points x B to the left
                               of boundary of semisharp reversible distillation, the node is vertex 1 and for the
                               points to the right it is vertex 3.


                                               2

                                          α 23





                                                                       Figure 4.25. Boundary of semisharp re-
                                                    x B
                                                                       versible distillation region (shaded) of
                                                                       acetone(1)-benzene(2)-chloroform(3)-
                                                      x  branch                             1,bound
                                                       rev
                                                                       toluene mixture; x best  ∈ Reg  .
                                                                                     B      rev,B
                               1                                    4
                                    α 23                     α 13
                                        13

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