Page 357 - Applied Process Design For Chemical And Petrochemical Plants Volume II
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340                       Applied Process Design for Chemical and Petrochemical Plants


                                                          Table 940
                                       Values to Use With Transfer Equation and Figure 9-68

                  Condition of Operation                    P”                                 M
           -.                                                         -                          ~
                  Absorgtion:
                   1. Constant mG,/L,                    mGm/Lm                        (Y1 - mx2)/(y2 - mx2)

                   2. Varying mG,/L,
                  Desorption (stripping) :
                   3. Constant LJmG,


                   4. Varying L,/mG,
                  Distillation, enrichin2
                   5. Constant mG,/L,                                                       Same as 1
                   6. Varying mGm/L,
                     stripping, closed steam2
                   7. Constant L,/mG,

                   8. Varying L,/mG,
                     stripping, open steam2





                  10. Varying L,/mG,


           *Equilibrium value
           Subscripts 1 and 2 refer to the concentrated and dilute ends of the unit respectively
           lConcentrations and m are based on high boiler or “heavy key”
           koncentrations and m are based on low boiler or “light key”
           m = slope of equilibrium line (mol-fraction solute in gas)/(mol-fraction solute in liquid)
           By permission, A P. Colburn, Ind. Eng. Chem. 33,459 (1941). The American Chem. SOC., all rights reserved.

           Example 9-9: Number of Transfer Units for Dilute      Material Balance
           Solutions
                                                                   Dilute solutions, assume constant L‘ and G
             An  existing 10-in. I.D.  packed tower using 1-inch Berl
           saddles is to absorb a vent gas in water at 85°F. Laboratory   Gas phase change = GI (y1-  y2)  = 200 (y1 - 0.001)
           data show the Henry’s Law expression for solubility to be
           y*  = 1.5x, where y* is the equilibrium mol fraction of the   Liquid phase change = L2  (x2 - XI)  = 500 (0 - XI)
           gas over water at compositions of x mol fraction of gas die
           solved in the liquid phase. Past experience indicates that
           the HOG for air-water system will be acceptable. The con-   Because the (-)  sign has no significance, except to indi-
           ditions are: (refer to Figure 9-68).                  cate the direction of mass change, use 500 (XI).
                                                                   Now, to use the simplified
           G‘1 = 200 mol gas/hr  (ft2)
           L’2 = 500 mol water/hr  (ft2)
            y1 = 0.03 (inlet)                                                                                 (9 - 80)
            y2  = 0.001 (outlet)
            x2 = 0 (inlet)
            XI  = ?  (outlet)                                      Assume values of y1 and solve the equated mass change
                                                                 for values of x.
             Determine  the  number  of  transfer  units,  and  the
           packed tower height.                                  200 (y1 - 0.001) = 500 (XI)
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