Page 324 - Distillation theory
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P1: JPJ/FFX  P2: FCH/FFX  QC: FCH/FFX  T1: FCH
            0521820928c08  CB644-Petlyuk-v1                                                      June 11, 2004  20:20





                        298    Synthesis of Separation Flowsheets


                               a)    t   1             b)       1              c)  x  t 2− 3− 4  2
                                    x 1− 2− 4  x B         t
                                             x 1− t  2− 5  x 1− 3− 4
                                                                                 24
                                                15                     15
                               4                   5  4                    5  4        x B        5
                                 24                            x B
                                                                      x 1− t  3− 5

                                         2                      3                       3
                                                      d)        2









                                                      1                    3
                                                                                4,5
                                                                                 (3)
                               Figure 8.18. Determination of possible bottom product region Reg B  on three-component
                                                                               1,2,3
                               face 1-2-3 of the water(1)-methanol(2)-acetic acid(3)-acetone(4)-pyridine(5) concentration
                               pentahedron. Segments of possible bottom product on the binary edges of face 1-2-3: (a)
                                4,5                        4,5                              4,5
                                  (2)                       (2)                               (2)
                               Reg  B  (double thick segment), (b) Reg  B  = [1-3](whole double thick edge), (c) Reg B  = 0
                                1,2                        1,3                     4,5      2,3
                               (absent), and (d) region of possible bottom product on the face 1-2-3 Reg (3)  (shaded).
                                                                                     B
                                                                                  1,2,3
                                                                  (2)
                               the segments of possible top product Reg bound,D  at all the edges of this hyperface:
                                 3                                        3
                               Reg D at edge 1-2 at distillation of mixture 1,2,3, Reg D at edge 1-4 at distillation of
                                1,2                                      1,4
                                             3                                         3
                               mixture 1,3,4, Reg D at edge 1-5 at distillation of mixture 1,3,5, Reg D at edge 2-4
                                             1,5            3                          2,4
                               at distillation of mixture 2,3,4, Reg D at edge 2-5 at distillation of mixture 2,3,5,
                                                           2,5
                                    3
                               and Reg at edge 4-5 at distillation of mixture 3,4,5. One can see in Fig. 8.16 that
                                      D
                                    4,5
                               any point of all these edges is a possible top product point. Therefore, we can
                               consider that the whole hyperface 1-2-4-5 is filled up with possible top product
                                                  3       (4)
                               points ({1-2-4-5} ≡ Reg D ∈ Reg ).
                                                           D
                                                1,2,4,5
                                 It follows from the analysis made that in a column with one feeding only two
                               splits without distributed components are feasible: (1) 2,4 : 1,3,5 and (2) 1,2,4 :
                               3,5.
                                 Split 1,2,4,5 : 1,3 is the most interesting among splits with one distributed com-
                               ponent that is feasible at any feed composition because hyperface 1-2-4-5 and
                                                                                              (4)
                               edge 1-3 are entirely filled up with possible product points ({1-2-4-5}∈ Reg  and
                                                                                               D
                                         (2)
                               [1-3] ∈ Reg ).
                                         B
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