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11.8                      CHAPTER  ELEVEN

           Using Equation  (11.18)  for approximate  lime feed requirements,  we find

             CaO  (lb/mil gal)  =  10.6[CO2  (mg/L)]  +  4.7  [alkalinity  (mg/L)]
             CaO  (lb/mil gal)  =  10.6(0)  +  4.7(180)  =  846  lb/mil gal,  as  100%  pure  CaO
         Correcting for purity,  we get
                              846
                        CaO  -    -  940  lb commercial lime/mil gal
                              0.9
         Adding  selected design  factor of  10%  for minimum  feeder size gives
              1.1 (940  lb commercial lime/mil gal)  =  1,030  lb/mil gal commercial lime
         Approximate  resulting  hardness  =  35(approx.  minimum  solubility of CaCO3)
                  +  30(Mg  hardness)  +  60(remaining  calcium NCH)  =  125  mg/L as CaCO3t
         Approximate  remaining  alkalinity  =  35  mg/L as  CaCO3
                                        (approximate  minimum  solubility of CaCO3)t
           Using Equation  (11.19)  for approximate  CO2 feed requirements  gives
               CO2 (lb/mil  gal)  =  3.7(40  mg/L finished  water bicarbonate  alkalinity)

                            =  148  lb/mil gal
         Adding  selected design  factor of  10%  for minimum  feeder size gives
                            1.1(148  lb/mil gal)  =  160 lb/mil gal

         EXAMPLE  11.2  Reduce the calcium hardness  in the finished  water,  using both lime and
         soda  ash  to reach  a  target  finished water hardness  of  100  mg/L.
           As  shown  in Example  11.1,  addition  of lime at  1,030  lb/mil  gal  will yield a  finished
         water  with  total  hardness  =  125  mg/L.  Removal  of a  portion  of the  remaining  calcium
         NCH  will be required  to reduce  hardness  to  100 mg/L.

              Noncarbonate  hardness  in water  =  270  -  180  -- 90  mg/L
              Noncarbonate  hardness  to be  left in water  =  90  -  (125  -  lO0)  =  65  mg/L
         Using Equation  (l 1.10)  to estimate  the  soda  ash  feed requirements  gives
               Soda  ash  (lb/mil gal)  =  8.8(NCH  -  x)  =  8.8(90  -  65)  =  220  lb/mil gal

         Adding  selected design  factor of  10%  for minimum  feeder size gives
                            1.1 (220  lb/mil gal)  =  242  lb/mil gal
         Approx.  resulting  hardness  =  35(approx.  minimum  solubility of CaCO3)
            +  35(remaining  calcium  NCH)  +  30(remaining  Mg  NCH)  --  100 mg/L as CaCO3t

          tNote: Results  are approximations  based on theoretical  equilibrium conditions.  These conditions  are seldom du-
         plicated  in practice,  and  some  variations  should  be  expected  at  the particular  plant.  Alkalinity  in the finished wa-
         ter may  be  increased  to  40  mg/L or more  by reducing  the  amount  of carbonate  hardness  removed.
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