Page 85 - Applied Process Design For Chemical And Petrochemical Plants Volume II
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74                        Applied Process Design for Chemical and Petrochemical Plants

          ($flcorrected  = 0.584 - (-0.016) / (18.948) = 0.584 + 0.00084   Xhn = pinch composition of heavy key component, mol
                   = 0.58484                                              frac
                                                                      XD = overhead composition of any light component,
            NOW use  this new value  of  $fl  in Underwood's  equa-       mol frac
          tions;                                                       x,  = pinch composition of any light component, mol
                                                                          frac

                                                                     Calculate D, B, DXD~ and BXB~ from problem specifi-
                                                                     cation.
                                                                     Assume or set the operating pressure and overhead
          For minimum reflux: Cpfl  = Cpr  = $s                      temperature (may be calculated).
          From calculations of  related problem* the value of  DXD~   Calculate the liquid and vapor  quantities and their
          has been calculated                                        respective compositions in the feed to the column.
                                                                     Calculate estimated ratio of key components on feed
          DXD~ 0.01072 for heavy key                                 plate based on the liquid portion of the feed.
               =
          DXD~ 0.428 for light key                                       Mol fraction light key
               =
          DXD~ 0.225 for lighter than light key.                     ' Mol fraction heavy key
               =
                                                                     (a) For all liquid feed at feed tray temperature (boil-
             0.01072    0.428     0.225                                 ing point)
              0.5848   +   0.5848   +   0.6848  -V,  = 0
            l--       1--       l--
               0.50       1 .o       2.0                                rf = mol fraction ratios in feed.
                                                                     (b) For a part or all vapor feed just at its dew point,
                                                                        rf = ratio of key components in the equilibrium liquid
                                                                        phase of feed.

                                                                     (c) For all liquid feed below feed plate temperature
          -ITr = -1.285                                                 rf = ratio of key components at intersection point of
                                                                        operating line (from a McCabe-Thiele diagram).
          V,  = 1.285                                              5. Determine approximate pinch zone liquid composi-
                                                                     tion for light key component

           (Lr)min = 1.285 - 0.6637 = 0.622                                                                  (8-142)


                    o'6622  0.94, Minimum Reflux Ratio               2% x~i sum of ah + 1 xfi + 1 + ah + 2 xfi +2 + . . . for
                                                                          =
                                                                     all components in liquid portion of feed heavier than
          Minimum Reflux Colburn Method Pinch                        heavy key. Note that XF~ values are the mol fractions of
          Temperatures [ 121                                         the component in the liquid portion of feed only and
                                                                     the ZXF~ equal to 1.0.
            This method has also found wide usage and might be
           considered less tedious by some designers. It also yields an   6. Calculate approximate value for (L/D)min.
           approximation  of  the  rectifying  and  stripping  section
           pinch temperatures. For adjacent keys,
             Rectifjmg:
                                                                       The second term in the right hand parentheses can
                                                        -
                                                      (8 141)        be omitted unless the mol fraction of the heavy key in
                                                                     the distillate, XhD,  is 0.1 or greater. Use Xhn = xln/rf.
           where  a = relative volatility of any component referenced to   7. Estimate stripping and rectifying pinch temperatures
                     the heavy key component                         at  values  one-third  and  two-thirds  of  the  interval
                XhD = overhead composition of heavy key component,   between the column bottoms and overhead, respec-
                     mol frac                                        tively.
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