Page 91 - Applied Process Design For Chemical And Petrochemical Plants Volume II
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80                        Applied Process Design for Chemical and Petrochemical Plants

                                                                  Intersection of Operating Lines:


                                                                                     I  0.2                1
                                                                         (2 - 1$ (1 - 2.33) 17) - 2 - (-2.33) 2
                                                                                      02+02

                                                                         (2 - 1) (1 - 2.33)

                                                                                                /  0.2
                                                                          + 4 (-  2.33) (2 - 1) (1 - 2.33)
                             2m (a1 - 1)
                                                                                                            L
                                                                                   2(-  2.33) (2 - 1)
            The proper value for xit is positive and between  zero
          and one. Actually this is fairly straightforward and looks   xit = 0.610, or -0.459  (not acceptable)
          more difficult to handle than is actually the case.
            Pseudo ratio of liquid to vapor in feed               Pseudo minimum reflux ratio:


                                                       (8- 151)        19.3   = 0.975
                                                                 x10 = 19.5 + 0.5

          where  XL = mol fraction of feed as liquid             R’ =    0.975   -  (1.0 - 0.975) (2)
                 x,  = mol fraction of feed as vapor                 (2 - 1) (0.610)   (1 - 0.610) (2 - 1)
                 FL = mols of liquid feed
                 FV = mols of vapor feed                          R‘= 1.472
               ZFH = total mols of components heavier than heavy key
                    in feed                                       Minimum reflux ratio:
               ZFL = total mol of components lighter than light key in
                    feed.

          Example 8-25: Scheibel-Montross Minimum Reflux [61]

            A tower has the following all liquid feed composition:                                +””( 4  l+:)

                            Feed       Overhead       Bottoms
           Component       Mols/hr      Mols/hr       Mols/hr
           A                  30          30.0          -        (L/D)min = 0.912
           B (light key)      20          19.5          0.5
           C (heavy key)      20          0.5          19.5     Minimum Number of Trays: Total Rdkx-Constant
           D                  30          -            30.0     volatility
                             100          50.0         50.0
                                                                  The minimum theoretical trays at total reflux can be
            Relative volatilities referenced to the heavy key, C:   determined by the Fenske relation as previously given

                 aA  = 4.0
                 ag  = 2.0 = a1                                                                              (8- 152)
                 aC  =l.O=ah
                 a~ = 0.5
                                                                                                   ..
                                                                   iuote mat ~,i* is me number or trays in me column and
                                 ~
                       XL - Z  X  1.0 - 0.30
           Calculate : m =      -  -     = - 2.33                does not include the reboiler. When a varies considerably
                       xV - X  X  ~ 0 - 0.30                    through the column, the results will not be accurate using
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