Page 97 - Applied Process Design For Chemical And Petrochemical Plants Volume II
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86                        Applied Process Design for Chemical and Petrochemical Plants

             2. Using ai and the component distribution line, esti-
               mate % recovery of non-key components in distillate
               and bottoms.                                      where Ya = % recovery of i in distillate
                                                                      Y~B = 9% recovery of i in bottoms
             From the references [124, 1411:                            fi = total mols of component i in distillate and bottoms

           log (di/bi)  = a + b log ~i                 (8-173)   Then Y~B = 100 - Y~D                        (8-174)

           where   di  = mols of component i in distillate       and di/bi = Y~D/ (100 - Y~D)                (8-175)
                  bi  = moles of component i in bottoms
                  ai  = relative volatility of component i         From Equation 8-174, Table 8-5  is constructed for select-
                a, b  = correlation constants                    ed values of  di/bi  at various values of YiD  from 99.9% to
                                                                 0.1%.
           log (di/bi) vs. log a, gives a straight line (Figure EL50). By
           superimposing a Y~D scale over the di/bi scale,       Component Recovery Nomograph (Figure 8-50)

                                                                   A nomograph is constructed by  plotting di/bi vs. ai on
                                                                 log-log graph paper and then  superimposing a yiD  scale
                                                         0.1     over the di/bi scale, according to the values given in Table
              8                                          0.2
            w.6                                          0.4
            99.4                                         0.8                          Table 8-5
            99.2                                         0.8         Material Balance for Estimated Multicomponent
            99.0                                         1 .o
            98.5                                         1.5      Distillation Recoveries  for Example 8-28 Using Method
             98                                          2                     of Yaws, Fang, and Pate1
             97                                          8                ~                                   ~
             96                                          4          Feed        Composition,      Relative     *
              94                                         6       Component        Mol. Fr.       volatility
             92                                          8
              90                                         10                         0.05            3.5
              85                                         15                         0.20            3.0
           -                                                                                                   Light
           .g  80                                                                   0.30            2.3
              70                                         30  1                      0.25            1 .o      Heavy
           e                                                                        0.15            0.83
           =Bo                                           405                        0.05            0.65
              50                                         50
           #  40                                                  Distillate      Recovery       Recovery
           b!   30                                       70      Component       Desired, %     Derived, %*
           le                                               f
              20                                         80          A                            99.72**
              15                                         85
                                                                     B                            99.20**
              10                                                     C               95             -
              8                                                                                     -
              6                                          94          D                5
              4                                          96          E                             1.30**
              3                                          97          F                             0.22*
              2                                          98
                                                                   Bottoms        Recovery       Recovery
             1 .o                                        90.0    Component       Desired, %     Derived, %*
             0.8                                         99.2
             0.6                                         w.4                                      0.28**
             0.4                                         99.6                                     0.80**
                                                                                      5            -
             0.2                                         99.8                                      -
                                                                                     95
             0.1                                         99.9                                    98.70**
               0.2   0.3   0.4  O.! 5  0.6   0.8  1   2   3   4  5  6                            99.78**
                            Relatlve volatilitypi
                                                                  *See calculations
           Figure 8-50.  Estimation of  recovery of  non-key components using   **From Figure 850
           short-cut method of Yaws, et al. Used by permission, Yaws, C. L. et   Used by permission, Yaws, C. L.,  et al., Chem. Eng., Jan. 29 (1979), p. 101,
           al., Chem. Eng., Jan. 29 (1979), p. 101.              all rights reserved.
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