Page 253 - Fundamentals of Water Treatment Unit Processes : Physical, Chemical, and Biological
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208                            Fundamentals of Water Treatment Unit Processes: Physical, Chemical, and Biological


                           pK  8.5          0.8    3.53  14.5   14.5     1011121314                      Al(OH) 2


                                                              8logK 5         Al(OH) 4 –                     Al(OH) 2 +

                                            logK 4   logK 5              9
                        Forms  logK 1  þ                 K 4 log  logK 8  þ  Plot a  pH  8  7  Al(OH) 3

                        Logarithmic  ¼ 3log[H þ ]  pK 1     ¼ log{H þ ]  pK 4  þ pH  ¼ 2log{H þ ]  pK 5  þ 2pH  þ ¼ pH  ¼ 4pH  5  6  5  Al 8 (OH) 20 4+  Al 3+




                        3        3pH  ¼       ¼       ¼                  4  3
                                log[Al 3þ ]  p[Al 3þ ]   log[Al(OH) 2 þ ]  p[Al(OH) 2 þ ]   log[AlOH 2þ ]  p[AlOH 2þ ]  log[Al(OH) 4   ]  log[Al 8 (OH) 20 4þ ]  2  1  0  1  2  3  4  5  6  7  pC  8  9  10  11  12  13  14




                        Statements  Form                 [Al(OH) 4   ][H þ ]  [Al 8 (OH) 20 4þ ][H þ ] 20  [Al 3þ ] 8



                        Equilibrium  Basic  (a)  [H þ ] 3  [Al 3þ ]  [Al(OH) þ ]  2  [H þ ]  [AlOH 2þ ]  [H þ ] 2  (7)  p[Al 8 (OH) 20 4þ ]   14.5   10.5   6.5   2.5  1.5  5.5  9.5  13.5  17.5  21.5  25.5  29.5  33.5  37.5  41.5



                        2      ¼ K 1        ¼ K 4  ¼ K 5  ¼ K 4  ¼ K 8

                                                         275
                               283  283  283             p.
                               p.  p.  p.
                           Reference  Hering,  Hering,  Hering,  Morgan,  &             9.5  8.5  7.5  6.5  5.5  4.5  3.5  2.5  1.5  0.5



                               Morel  &  &  Morel  &  Morel  Calculated  Calculated  Stumm  (6)  p[Al(OH) 4   ]  14.5  13.5  12.5  11.5  10.5

                 pH        K   8.5  9.3  4.97  0.8  3.53  14.5   68.7  Diagram
                 Varying   Log                                      pH  vs.



                 with   Constant  Arithmetic  þ8.5  þ9.3  4.97  þ  0.8  þ  3.53  þ  14.5     68.7     pC  for  (5)  p[AlOH 2þ ]   3.53   1.53  0.47  2.47  4.47  6.47  8.47  10.47  12.47  14.47  16.47  18.47  20.47  22.47  24.47
                 Species  Reactions  K 1 ¼ 10 ^  K 2 ¼ 10 ^  K 3 ¼ 10 ^  K 4 ¼ 10 ^  K 5 ¼ 10 ^  K 4 ¼ 10 ^  K 8 ¼ 10 ^  Data  of



                 Hydrolysis  1  Equilibrium  obtain,  to  (2)  obtain,  to  Calculation  4  (4)  p[Al(OH) 2 þ ]  0.8  1.8  2.8  3.8  4.8  5.8  6.8  7.8  8.8  9.8  10.8  11.8  12.8  13.8  14.8




                 Ion           3H þ  þ  2Hþ þ  H þ  from  (1)  H 2 O  þ  (1)  from  2H 2 O  þ  H þ  þ  20H þ  þ
                 Aluminum      (s) Al(OH) 3  Al(OH) 2 þ  þ AlOH 2þ  subtract  Al(OH) 2 þ  !  (3)  subtract  AlOH 2þ  !  Al(OH) 4    !  Al 8 (OH) 20 4þ




                 of            !   !  !  Al(OH) 2 þ ,  H þ  þ  AlOH 2þ ,  2H þ  þ  H 2 O  þ  ! 20H 2 O  (1)  p[Al 3þ ]   8.5   5.5   2.5  0.5  3.5  6.5  9.5  12.5  15.5  18.5  21.5  24.5  27.5  30.5  33.5
              CD9.6            3H 2 O  þ  2H 2 O  þ  H 2 O  þ  (s)  (s)  (s)  þ


              TABLE  Distribution  Reaction  Al 3þ  (1)  Al 3þ  (2)  Al 3þ  (3)  calculate  To  Al(OH) 3  (4)  calculate  To  Al(OH) 3  (5)  Al(OH) 3  (6)  8Al 3þ  (7)  pH  0  1  2  3  4  5  6  7  8  9  10  11  12  13  14
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