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11.10                     CHAPTER ELEVEN

           The  second  stage  provides  additional  process  stability  before  filtration  and  is
         equipped  with  residuals  collection  equipment  to  eliminate  residuals  buildup.  A  coag-
         ulant  added  at the second  stage further  clarifies the water before filtration.  The  second
         stage  also provides  an  opportunity  for further  treatment by  adsorption  or oxidation af-
         ter  primary  softening  and  before  filtration.  After  the  second  stage,  carbon  dioxide  is
         added  to  convert  carbonate  alkalinity  to  bicarbonate  alkalinity  for  stability,  similar to
         single-stage  treatment.

         Recarbonation.   Recarbonation  is required for the excess lime process to convert excess
         hydroxide alkalinity to carbonate  alkalinity and  also to convert carbonate  alkalinity to bi-
         carbonate  alkalinity  for stabilizing the  treated  water.
           The reaction of carbon dioxide with hydroxide  alkalinity is shown  in Equation (11.6).
         The dosage  of carbon  dioxide can  be estimated  as  follows:
                     CO2 (lb/mil gal)  =  3.7  ×  [hydroxide  alkalinity  (mg/L)]   (11.21)
         where  hydroxide  alkalinity  is  the  excess  hydroxide  alkalinity  required  for  magnesium
         removal.
           In  addition,  carbon  dioxide is  required  to  convert carbonate  alkalinity  to bicarbonate
         alkalinity  for stabilizing treated  water  in accordance  with Equation  (11.20).

         Excess Lime  or  Excess  Lime-Soda  Ash  Process Examples.  The  following examples
         demonstrate  the  use of the  above  equations  to estimate  chemical feed requirements.
         Given:

           Groundwater  where  carbon  dioxide is present
           COa  =  20  mg/L  as  COE  (mg/L)
           Total hardness  =  305  mg/L as  CaCO3
             Alkalinity  =  224  mg/L as  CaCO3
             Calcium hardness  =  235  mg/L as  CaCO3
             Magnesium  hardness  =  70  as  CaCO3
             Noncarbonate  hardness  (NCH)  =  305  -  224  =  81  as CaCO3
           Available lime is 90%  CaO
           Available soda  ash  is very close to  100%  Na2CO3
         EXAMPLE  11.3  Reduce hardness  as much as possible, using lime only.  (Note: In this ex-
         ample, the magnesium  hardness  is greater than the selected target maximum of 40. There-
         fore,  lime addition  for  magnesium  hardness  removal  is required.)
           Using Equation  (11.9)  for approximate  lime feed requiremments,  we  have
         CaO  (lb/mil gal)  =  10.6CO2  (mg/L)  +  4.7  [alkalinity  (mg/L)
                                               +  magnesium  hardness  (rag/L)  +  x]
         Assume  65  mg/L of excess  hydroxide  alkalinity  (expressed  as  CaCO3)  is  required to re-
         duce  Mg  hardness  to  --10  mg/L.
         CaO  (lb/mil gal)  =  10.6(20)  +  4.7(224  +  70  +  65)  =  1,899  lb/mil gal,
                                                            as  100%  pure  CaO
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