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

                                                                                   2-
                                                                     +
               Q2: What are the molar concentrations of Ag  and CrO4 in a saturated
                                                                                   -12
               solution of Ag2CrO4 at 25 °C ?    Ksp (Ag2CrO4)= 1.9 x 10
               Solution:

                                                                       +            2-
                                                       Ag CrO  ↔   2 Ag     +   CrO
                                                     2     4                       4
                                                          X                  2X              X
                                                             + 2       2-
                                                   K = [Ag ] [CrO ]
                                                     sp               4
                                                        2            3             -12
                                             K   = (2X) (X) =  4 X   = 1.9 x 10
                                             sp
                                                                      -5
                                                         X = 7.8 x 10 M
                                                +                -5              -4
                                             [Ag ]  = 2 [7.8 x 10 ] =  1.6 x 10   M
                                                        2-           -5
                                                 [CrO ]= 7.8 x 10    M
                                                       4
                                               Significance of Ksp


              (1) For a ppt. of a sparingly soluble salt to be formed in a solution

                                                                                               +     -
               (for example AgCl) : the ionic product (Q) of its respective ions, [Ag ][Cl ], must
               exceed the K of the salt (AgCl).
                              sp
                                                                                  +     -
               Q (Product of molar concentration of ions) = [Ag ][Cl ]
                 ➢  When the ionic product (Q) is less than the solubility product (K ),the solution
                                                                                            sp
                     is unsaturated.
                                                    +       -
                 ➢  If Q just equals K , all Ag  and Cl  will remain in solution (saturated solution)
                                         sp
                     .

                 ➢  When (Q) exceeds K , the solution is supersaturated and  precipitation will
                                              sp
                     occur.


                            So, Q  must be  K  of AgCl   for a ppt. of AgCl to be formed
                                                  sp
               The ppt. is formed when the product of ions concentrations exceed the solubility
               product at given temperature.

               In quantitative analysis, excess precipitating agent is always employed to ensure
               complete precipitation.



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