Page 395 - APPLIED PROCESS DESIGN FOR CHEMICAL AND PETROCHEMICAL PLANTS, Volume 1, 3rd Edition
P. 395

Ejectors and  Mechanical  Vacuum Systems                           363

            Mixture avg mo!  wt =  26.2/0.603  =43.4            Example 6-7: Total Weight of Mixture
            Molecular weight correction  (From Figure 6-18)  =  1.18
                                                                  Calculate  the  total  weight  of mixture  to  be  handled
                                                                when  evacuating  25  pounds  per  hour  of air  from  28.5
                                   26 2                         inches  vacuum  with  a  mixture  temperature  at  80°F.
            Air equivalent  (at  80°F)  =   ·  =  22.2 lbs/hr
                                   1.18                         Barometer =  30 inches Hg.
            Temperature correction (Figure 6-17,  using air curve)  = 0.999   Absolute pressure  =  30.0  - 28.5  =  1.5 in.  Hg abs
            70°F air equivalent for mixture  =  22.2/0.999  =  22.2 lbs/hr
                                                                   P,.  =  1.034 in.  Hg abs  (water vapor at 80°F)
                                                                   Pa  =  1.50  - 1.034  = 0.466 in.  Hg abs  (air)
            This is the value  to compare with a standard manufac-   Wm  =  25 +  0.62(25)  (1.034)/0.466  =  59.4 lbs mixture/hr
          turer's test or performance curve at 70°F.
            The air bleed is used to maintain a constant condition.
          However,  a control  valve  may be used instead.  Control  or   Total Volume of a Mixture
          hand valves in the lower pressure vapor lines to an ejector
          are not recommended, as they must be paid for in system   The total fixed volume of a mixture of gases and vapors
          pressure drop and ejector utility requirements.       at a given condition is  the same as  the volume of any one
                                                                component (gas  laws), and its pressure is composed of the
                                                                sum of the individual partial pressures of  each component.
          Non-Condensables Plus Water Vapor Mixture
            This is also a frequent process situation. To determine   Example 6-8:  Saturated Water Vapor-Air Mixture
          the  70°F  air equivalent,  the  non-condensable  are  deter-
          mined as in Example 6-5 and the water vapor as in Exam-   An  air-water  vapor  mixture  is  saturated  with  water
          ple 6-2. The total  for the mixture  is the sum of these two   vapor at 80°F and 2  in.  Hg abs  total  pressure.  The  air in
          values.                                               the mixture  is  60  lbs/hr.  Determine  the volume  at these
                                                                conditions.
          Total  Pressure of System  at Suction  to Ejector
                                                                  Vapor pressure water at 80°F  =  1.034 in.  Hg abs
            P  =  P  n  +  P'vt  + P',2  +  ·  ·  ·     (6-3)     Partial pressure air= 2.0  - 1.034  =  0.966 in.  Hg abs
                                                                  Weight of mixture:
          Air-Water Vapor Mixture Percent Curves                  Wm  =  60 +  0.62(60)  (1.034)/0.966  = 99.8 lbs/hr
                                                                  Weight of water vapor =  39.8 lbs/hr (from above)
                                                                  Volume of air under its condition in  the mixture:
            For saturated air-water vapor systems, Figures 6-20A,  B,
          C,  and  D  are  useful  in  solving for  the  pounds  of water
          vapor per pound of air (Dalton's Law,  Equation 6-2).   Vol of air  = vol of mixture  = V
                                                                              WRT       .   H
                                                                                    ,  use 111.   g          (6- 5)
                                                                             70. 73 Pa
          Example No. 6-6:  Use of  Water Vapor-Air Mixture
          Curves                                                  Gas constant,  R  =  1544/MW  =  1544/29  =  53.3   (6-6)

            A system  handles 50 lbs/hr of air that is saturated with   5 53 3  460   80
                                                                                  +
                                                                           · )  (
          water  vapor  at  3  inch  Hg  abs  and  95°F.  Find  the  total   V  =   0(  70.73  (0.966)   )  =  25, 300 cu ft/hr
          amount of water vapor.
                                                                    =  422 cu fl/min at 80°F
            For 3  inch Hg abs and  95°F saturation,  the fraction of
          water vapor from Figure 6-20 is 0. 77 lbs water vapor  /lb air.   As a check:
                                                                  From  steam  tables,  specific  volume  of water vapor at
            Total water vapor= (50)  (0.77)  =  38.5 lbs/hr     80°F and  1.034 in. Hg abs  =  633.8 cu ft/lb
               Total mixture  =  50 +  38.5  =  88.5 lbs/hr
                                                                  Volume  =  (39.8)  (633.8)  =  25,200 cu fl/hr
          Weight of  Air and Water Vapor Mixture                         =  421  cu ft/min
                                                                  As an alternate method, total mols could be calculated
             "   =  \"  +  0.62  (W .)(P")                      and converted to volume at 80°F and 2  mm Hg abs.
            ''V  m   'Va                               (6- 4)
                                                                                                  (text  continued on pag, 366)
   390   391   392   393   394   395   396   397   398   399   400