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Mansoura National University
            Pharm D-Clinical Pharmacy Program                 Level 1             Pharm. Anal. Chem. 1 (PC 101)


                                     Example#2: Phosphoric acid (H PO ):
                                                                                3     4
                   H PO  is a weak triprotic acid. Its ionization can be expressed as follows:
                  3    4

                        +           -
           H PO  ⇌ H  + H PO  ……..….pK  = 1.96     (≈ 2)
             3    4            2   4                a1

                   -     +          2-
           H PO  ⇌ H  + HPO  ………. pK  = 7.12     (≈ 7)
             2    4                4                a2
                  2-     +        3-
           HPO  ⇌ H  + PO  ……..…..pK  = 12.32  (≈ 12)
                 4               4                 a3

            The difference between each 2 successive pK  values is more
                                                              a
           than 4 so stepwise titration is possible, but we can titrate only

                                                                 st  +                                 nd  +
           the first two protons of H PO  separately. The 1  H  is titrated using M.O. & the 2  H  using
                                        3    4

           ph.ph.

                                                                                                        -9
            The third proton is too weak [pK  is very high (>9)  or K  is very small (<10 )] which
                                                     a3                          a3
              means its ionization is too weak to be titrated by direct methods, but it can be titrated indirectly

              by adding CaCl .
                                2

                        2-                                           -
                  2HPO  + 3CaCl  ⇌ Ca (PO )  + 2 HCl + 4Cl
                       4            2       3     4 2
                                                        


                                                         Titrated ≠ standard NaOH using M.O. or ph.ph.




















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