Page 28 - Applied Process Design For Chemical And Petrochemical Plants Volume II
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Distillation                                          17


               9. Ki = P~/x                             (8- 23D)     Calculate the Bubble Point: Assume composition is liquid.
                 where  x = total system pressure absolute                               K, at      Assume
                      Pi  = vapor pressure of individual component at            Mol    assumed    T = lOO"F,
                          temperature, abs                         Composition  Fraction  T = 90°F  -- K  x  K  Kx
                      Xi  = X = mols of a component, i, in vapor phase plus      0.15    3.1      0.465   3.4   0.51
                                                                      C2H6
                          mols of same component in liquid divided by   C3H8     0.15    1 .o     0.130   1.2   0.18
                          the total mols of feed (both liquid and vapor)   n-C&10   0.30   0.35   0.105   0.39  0.117
                      xf = mol fraction of a component in feed       i-C4H10     0.25    0.46     0.115   0.52  0.13
                      xf = mol fraction of any component in the feed, Ft   n-C5H12   0.15   0.12   - 0.13  0.0195
                                                                                                  0.018
                          where Xf = F xf/F, for all components in F; for        1.00
                          the non-condensable gases, xf = VJF,                                    0.853       0.956
                       F = mols of feed entering flash zone per unit time                                    (Too low)
                          contains all components except noncondens-                Assume T = 105°F
                          able gases                                                      -             &
                                                                                           K
                      F,  = F + V,                                                        3.45          0.517
                      V,  = V + V,  mols of vapor at a specific temperature
                          and pressure, leaving flash zone per unit time                  1.23         0.18'7
                      'V, = mols of non-condensable gases entering with                   0.41          0.123
                          the feed, F,  and leaving with the vapor, V,  per               0.55          0.13'7
                          unit time                                                       0.15         0.022
                       V = mols of vapor produced from F per unit time,                                0.986
                          F=V+L
                       L = mols of liquid at a specific temperature and   By  interpolation:
                          pressure, from F, per unit time
                       i = specific individual component in mixture   0.986 - 0.956  1.000 - 0.986
                                                                              -  -
                      K, = equilibrium K values for a specific component   105 - 100   X
                          at a specific temperature and pressure, from
                          References 18, 65, 79, 99, 131, 235        x = 2.34"F
                       T = temperature, abs                        So, T = 105 + 2.34 = 107°F Bubble point at 165 psia
                      xi = mol fraction of a specific component in liquid
                          mixture as may be associated with feed, distil-   Calculation of Dew Point
                          late, or bottoms, respectively
                       yi  = mol fraction of a specific component in vapor   Composition  Mol Frac.  Assume, T = 160°F
                          mixture as may be associated with the feed,   Vapor   in Vapor   K (from charts)   x = y/k
                          distillate or bottoms, respectively
                                                                      CZH6       0.15         5.1       0.0294
              10. For the simplified case of a mixture free of non-condens-   C3H8   0.15     1.83      0.081
                 able gases, see Equation 8-23A, where Xf = xf.     nC4H1o       0.30         0.80      0.375
                                                                     i-C4H10     0.25         1.00      0.250
                                                                    n-CjH12      0.15         0.32      0.469
            Example 8-2:  Bubble Point and Dew Point                             1.00                   1.204 z Xy/K  = 1

               From the hydrocarbon feed stock listed, calculate the   Assume T            Assume T
             bubble point and dew point of  the mixture at 165 psia,   = 180°F. K  x = v/K   = 175°F. K   x = p/K
             and using K values as listed, which  can be  read from a   5.95   0.0232         5.6      0.0268
             chart in 3rd edition Perry's,  Chemical Engineer's Handbook.   2.25   0.0666     2.2      0.0682
                                                                      0.98   0.3060           0.91     0.330
              Feed Stock                                              1.30   0.1920           1.2      0.208
                                                                      0.41   0.3660           0.39    0.385
             ComDosition        Mol Fraction                                 0.9558 # Ey/K  = 1        1.018 E Xy/K=  1.0
                 C2H6               0.15
                C3H8                0.15                           Dew point is essentially 175°F at 165 psia
               n-C4H10              0.30
               tC4H10               0.25                           Example 8-3: Flashing Composition
               n-CFiH12            0.15
                                    1 .oo                            If the mixture shown in Example 8-2 is flashed at a tem-
                                                                   perature midway between the bubble point and dew point,
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