Page 130 - Applied Process Design For Chemical And Petrochemical Plants Volume II
P. 130

Distillation                                          119

                                                                       Operation Aio = 1.65/1.33 = 1.222
                     AN+l -Ai  - (1.227)Nt1 - 1.227 = o.98
                 E,=          -
                      Ah'+' - 1   (1.227)N'c'  - 1                    Theoretical trays at operating (LJVN  + 1):
                                      [  1- 0.98  ]                                      1.222 - 0.98
                                       1.227 - 0.98
                     (N + 1) log 1.227 = log                           (N + 1) log 1.222 - log  [  1-0.98  ]

                 ix = 11.22
                                                                       N = 11.2 trays
              7 Actual plates at operating (&/VN + 1):
                  Efficiency of oil at 90°F, and sp. gr. of 0.825 come   Efficiency :   (0.825) (62.3)   = o.294
                sponding to MI of 40.                                           (1.35) (160) (0.81)
                Viscosity = 0.81 centipoises
                                                                    Reading curve 3, Eff. = 29%
                For O'Connell's efficiency correlation, Figure 8-29.   Actual trays = 11.1/0.29 = 38.6. Say 40 trays.
                                                                    Lean oil rate = (1.222) (1.35) (1,756) = 2,900 mols/hr
                 0.825 (62.3 lb/fts)  = o.034j
                 (11.5) (160) (0.81)                               GPM =   (~900) (160)   = 1,122
                                                                         (8.33) (0.825) (60)
                Reading curve (3), Eff. = 14%                       This is still a large quantity of oil to absorb the ethylene.
                  This value is low, but agrees generally with the spe-   Under some circumstances it might be less expensive to
                cific data in O'Connell's [49] report.            separate the ethylene by low-temperature fractionation.
                  Although Drickamer's data are not so specific for
                absorption, the graph of this correlation gives Eff. =   Example 8-3s Determine Component Ahsorption in
                20% for the 0.81 cp. Because no better information is   Fixed-Tray Tower
                available, use Eff. = 15%.
                Actual trays, No = N/E,  = 11.22/0.15  = 74.8       An  existing 40-tray tower is  to be examined to  deter-
                                                                  mine the absorption of a rich gas of the following analysis:
                Use KO = 75 trays
              8. Lean oil rate =  L, = 4 (Ki)  (Vx + l)o = (1.227) (11.25)                                     104"
                 (1,756)                                           Component       Mols/hr      Mol wt      I&  176 psia
                               Lo = 24,200 mols/hr                            . ..      .      -.   -~     -
                                                                                                             .
                                                                      H2            500.0          2          59.0
                                      24,200 (160)   = 9,400          CH4            20.9         16          56.0
                           GPM oil =
                                    (8.33) (0.825) (60)              C2H4           131.5         26           8.1
                                                                      CO            230.0         28          12.3
                                                                     CsH4             3.5         40           0.07
                 This is unreasonable, and is due to the effect of   c4H2             4.1         50           0.009
                a. Operating pressure being  too  low,  thus  giving  a   ~-   -    890.0
                                                                                    ....
                  high K value
                b. Ethylene being light component and difficult to   1. The  key  component  is  methyl  acetylene,  C3H4.
                   absorb                                             Recovery will be based on 96.5% of this material.
                c. Temperature too high.
              9. Recalculation of Steps 3 thru 8.                     The  tower  average temperature will  be  assumed  =
                                                                      104°F.
                  Assume  operating pressure is  700  psig, K  =  1.35.   The operating average pressure will be = 161 psig.
                Note that this same K value could have been achieved
                by lowering the operating temperature to -90°F.  This   2. The & values are tabulated for the conditions of  (1) ,
                is  also not practical from the oil standpoint or even   and were determined from laboratory test data for
                from the economics  of operating the entire system and   the special solvent oil being considered.
                refrigeration system at this level, unless (1) the refng-   & =  14.7  (Hi)/176,  where  Hi  is  Henry's  constant
                eration is available and (2) a suitable oil is available.   expressed as atm/mol  fraction for each component.

                Min  (L/V) = (1.35) (0.98) = 1.32                     Note that conventional  K charts are only applicable to
                                                                      hydrocarbon oil systems, and do not apply for any
                Operating (L/Vx + l)o = (1.25) (1.32) = 1.65          special solvents.
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