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Introduction to Acid-Base Disorders  233



              TABLE 9-1       Conversions Between pH and [H ]
                                                                  þ
                           [H ]*                     [H ]                       [H ]                      [H ]
                             þ
                                                                                  þ
                                                                                                             þ
                                                        þ
            pH Units      (nEq/L)     pH Units      (nEq/L)     pH Units      (nEq/L)      pH Units      (nEq/L)
               8.00         10           7.64          23          7.29           51         6.94          115
               7.99         10           7.63          23          7.28           52         6.93          117
               7.98         10           7.62          24          7.27           54         6.92          120
               7.97         11           7.61          25          7.26           55         6.91          123
               7.96         11           7.60          25          7.25           56         6.90          126
               7.95         11           7.59          26          7.24           58         6.89          129
               7.94         11           7.58          26          7.23           59         6.88          132
               7.93         12           7.57          27          7.22           60         6.87          135
               7.92         12           7.56          28          7.21           62         6.86          138
               7.91         12           7.55          28          7.20           63         6.85          141
               7.90         13           7.54          29          7.19           65         6.84          145
               7.89         13           7.53          30          7.18           66         6.83          148
               7.88         13           7.52          30          7.17           68         6.82          151
               7.87         13           7.51          31          7.16           69         6.81          155
               7.86         14           7.50          32          7.15           71         6.80          159
               7.85         14           7.49          32          7.14           72         6.79          162
               7.84         14           7.48          33          7.13           74         6.78          166
               7.83         15           7.47          34          7.12           76         6.77          170
               7.82         15           7.46          35          7.11           78         6.76          174
               7.81         15           7.45          35          7.10           79         6.75          178
               7.80         16           7.44          36          7.09           81         6.74          182
               7.79         16           7.43          37          7.08           83         6.73          186
               7.78         17           7.42          38          7.07           85         6.72          191
               7.77         17           7.41          39          7.06           87         6.71          196
               7.76         17           7.40          40          7.05           89         6.70          200
               7.75         18           7.39          41          7.04           91         6.69          204
               7.74         18           7.38          42          7.03           93         6.68          209
               7.73         19           7.37          43          7.02           95         6.67          214
              7.72          19           7.36          44          7.01           98         6.66          219
              7.71          19           7.35          45          7.00          100         6.65          224
              7.70          20           7.34          46          6.99          102         6.64          229
              7.69          20           7.33          47          6.98          105         6.63          234
              7.68          21           7.32          48          6.97          107         6.62          240
              7.67          21           7.31          49          6.96          110         6.61          245
              7.66          22           7.30          50          6.95          112         6.60          251
              7.65          22
            *Values for [H ] are given to the nearest nEq/L.
                      þ
                                         ½saltŠ                 present initially, the new ratio of Na 2 HPO 4 /NaH 2 PO 4
                          pH ¼ pK þ log
                                  a
                                         ½acidŠ                 would be 9/11 or 0.82 and:
                                      ½Na 2 HPO 4 Š
                        pH ¼ 6:8 þ log
                                                                                            ð
                                      ½NaH 2 PO 4 Š                            pH ¼ 6:8 þ log 0:82Þ
                                                                                  ¼ 6:8 þð 0:086Þ
            If the amounts of Na 2 HPO 4 and NaH 2 PO 4 are equal,                ¼ 6:71
            their ratio is 1.0:
                                                                By contrast, an aqueous solution containing 1 mmol/L
                                        ð
                           pH ¼ 6:8 þ log 1:0Þ                  HCl (10  3 Eq/L) would have a pH of 3.0.
                              ¼ 6:8                                By solving the dissociation equilibrium equation for
                                                                   þ
                                                                [H ], the same can be shown:
            Consider adding 1 mmol of HCl to this solution. The
            protons from the HCl are donated to the salt of the buffer                     ½HAŠ
                                                                                    þ
                                                                                  ½H Š¼ K a

            pair (Na 2 HPO 4 ), converting it to its conjugate acid                        ½A Š
            (NaH 2 PO 4 ). If 10 mmol of each phosphate salt was
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