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05_chap_wang.qxd  05/05/2004  3:46 pm  Page 234
                    234                                                    Lawrence K. Wang et al.

                       Solution

                       A. Calculation of N  (number of gas transfer units) using Eq. (13) and with an assumed
                                       og
                          value for AF of 1.6:
                             HAP = 20,000 ppmv
                                 e
                             RE = 98%
                             HAP = HAP [1 − (RE/100)]                                      (14)
                                 o      e
                             HAP = 20,000 [1 − (98/100)] = 400 ppmv
                                 o
                             N  = ln{[(HAP / HAP ) (1 − (1/AF)) + (1/AF)]} / (1 − 1/AF)    (13)
                              og         e      o
                             N  = ln{[ (20,000 / 400) (1 − (1/1.6)) + (1/1.6)]} / (1 − 1/1.6)
                              og
                             N  = 7.97
                              og
                          B. Calculation of H  using Eqs. (15)–(18).
                                          og
                             L'' = L/A                                                     (18)
                                    column
                          Use the following values:
                             L = 17,410 lb/h
                                         2
                             A    = 10.8 ft from Example 5
                              column
                          Then, substitute these values into Eq. (18).
                             L'' = 17,410 / 10.8 = 1,612 lb/h-ft 2
                          Use the following value
                                            2
                             G   = 0.34 lb/s-ft from Example 5
                              area
                             3600G   = (3600)(0.34) = 1224 lb/h-ft 2
                                  area
                          With these values for L'' and 3,600 G  , the packing factors are obtained from Tables
                                                        area
                          1 and 2. The following constants (used for determining height of a gas film transfer
                          units) are obtained from Table 1 for 2 in. Raschig rings:
                             b = 3.82,   c = 0.41,    d = 0.45
                                            2
                          Because 1224 lb/hr-ft is outside the range for 3600 G  of Table 1, one must pro-
                                                                       area
                          ceed on the assumption that the above packing factors do apply and that any error
                          introduced into the calculation will be minimal. For 2 in. Raschig rings, the following
                          constants (used for determining height of a liquid film transfer units) are obtained
                          from Table 2:
                             Y = 0.0125 and s = 0.22
                          From Tables 3 and 4, the Schmidt numbers are obtained:
                             Sc = 0.66 and Sc = 570
                               G            L
                          Also,
                             µ '' = 0.85 centipoises (cP) at 85°F (see Example 5)
                              L
                             µ '' = (0.85)(2.42) = 2.06 lb/h-ft (the conversion factor from cP to lb/h-ft is 2.42)
                              L
                          Therefore, H (height of gas transfer unit) and H (height of liquid transfer unit) are
                                     G                            L
                          determined from Eqs. (16) and (17), respectively.
                                            c
                                                  d
                             H = [b(3600G   ) / (L'') ](Sc ) 0.5                           (16)
                              G          area         G
                             H = [3.82(1224) 0.41 /(1612) 0.45 ](0.66) 0.5
                              G
                             H = 2.06 ft
                              G
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