Page 153 - Analytical Electrochemistry 2d Ed - Jospeh Wang
P. 153

138                                           PRACTICAL CONSIDERATIONS

            Examples

            Example 4-1  A rotating ring-disk electrode (1600 rpm) yields a disk current of
            12.3 mA for the oxidation of a 2   10   3  M potassium ferrocyanide solution.
            Calculate the reduction current observed at the surrounding ring using a
            6   10  3  M potassium ferrocyanide solution and a rotation speed of 2500 rpm
            (N ˆ 0.33).

            Solution  From the Levich equation, (4-5), one can calculate ®rst the disk current
            under the new conditions:

                                                3
                                i    K  …6   10 †  …2500† 1=2
                                D  ˆ
                               12:3  K  …2   10 †  …1600† 1=2
                                                3
                                       i ˆ 46:125 mA
                                       D

            Then, from equation (4-8), we can solve for the ring current:

                           i ˆ Ni ˆ 0:33   12:125 ˆ 15:221mA
                           R       D
            Example 4-2  A rotating mercury ®lm electrode (2 mm diameter) yielded a
            stripping peak current of 2.2 mA for a 1   10  8  M lead(II) solution following a
            3 min deposition at  1.0 V with a 1600 rpm rotation. Calculate the peak current for
            a 2.5   10  8  M lead(II) solution following a 2 min deposition with a 2500 rpm
            rotation.

            Solution

                                              8            1=2
                              2:2 ˆ K  …1   10 †  3  …1600†

                                       K ˆ 1:83   10 6

                                 6         8            1=2
                     i ˆ 1:83   10 …2:5   10 †  2  …2500†   i ˆ 4:6 mA
                      p
                                                            p


            QUESTIONS

             1. What are the advantages of using ultramicroelectrodes for electrochemical
               measurements?
             2. Explain clearly how chemically modi®ed electrodes can bene®t electrochemical
               measurements?
   148   149   150   151   152   153   154   155   156   157   158