Page 200 - Chemical engineering design
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FLOW-SHEETING
                                                   H
                               Alcohol feed
                                                                  product
                                                   vent    Water  Acetone     Water       177
                                    Reactor  Condenser  Scrubber  Coln 1   Coln 2
                                      1         2        3         4         5
                                                    Bypass
                                                       Recycle
                                           Figure 4.12.  Information flow diagram
                   preheater and vaporiser are not shown, as there is no change in composition in these units
                   and no division of the inlet stream into two or more outlet streams.
                     Figure 4.12 is redrawn in Figure 4.13, showing the fresh feeds, split-fraction coeffi-
                   cients and component flows. Note that the fresh feed g 20k represents the acetone and
                   hydrogen generated in the reactor. There are 5 units so there will be 5 simultaneous
                   equations. The equations can be written out in matrix form (Figure 4.14) by inspection
                   of Figure 4.13. The fresh feed vector contains three terms.

                             λ 1k        λ 2k          λ 3k        λ 4k          λ 5k
                                    α 21k λ 1k   α 32k λ 2k   α 43k λ 3k   α 54k λ 4k
                           A           B            C            D             E
                                 1            2            3            4             5
                        g
                         10k
                                                       α 42k λ 2k
                                       g
                                       20k
                                   Acetone
                                  {       }        g 30k  {Water}  α 15k λ 5k
                                   hydrogen
                             {       }
                             Isopropyl
                              alcohol
                                         Figure 4.13.  Split-fractions and fresh feeds
                                     1     2     3     4     5
                                1    1    0     0     0    ˛ 15k       1k      g 10k  
                                2    ˛ 21k  1   0     0     0      2k    g 20k 
                                3    0    ˛ 32k  1    0     0             
                                                               ð   3k  D  g 30k 
                                4    0    ˛ 42k   ˛ 43k  1  0           0  
                                                                      4k
                                5    0     0     0    ˛ 54k  1               0
                                                                      5k
                                             Figure 4.14.  The set of equations

                   Estimation of the split-fraction coefficients
                   The values of the split-fraction coefficients will depend on the function of the processing
                   unit and the constraints on the stream flow-rates and compositions. Listed below are
                   suggested first trial values, and the basis for selecting the particular value for each
                   component.
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