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214                                        EXCEL: NUMERICAL METHODS



               4.  The W-visible spectra of aqueous solutions of CoC12, NiCI2 and CuC12 are
                   shown in Figure 9- 16.








                          0
                          2  0.6
                          m                                     /
                          g  0.5  [   Ni2+     CO2'
                          d  0.4
                          U
                            0.3
                            0.2
                            0.1
                            0.0
                               350       450      550       650      750
                                                Wavelength, nrn

                         Figure 9-16.  W-visible spectra of cobalt, nickel and copper solutions.
                   Three wavelengths were chosen at which the absorbance of the three species,
                   Co2+, Ni2+ and Cu2+, differed  significantly.  The molar absorptivities  of the
                   three species at the three wavelengths are shown in Table 9-1.


                                    Table 9- 1.  Molar Absorptivity E, M-'cm-'
                                h/nm        co2+           Ni2+          cuz+
                                394        0.995          6.868         0.188
                                510        6.450          0.2  15       0.198
                                808        0.469          1.179         15.052


                   A mixture of the three metal  ions gave the following absorbance readings at
                   the three wavelengths:  394 nm, 0.845; 510 nm, 0.388; 808 nm,  1.696, when
                   measured  using  a  cell  with  a  1.00-cm  path  length.   Calculate  the
                   concentration of the three metal  ions in the mixture, using Beer's Law: A  =
                   ~bc (A = absorbance, E=  molar absorptivity, b = cell path  length in cm, c =
                   concentration in mol/L).
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