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              262    Modern Analytical Chemistry


                                                  EXAMPLE 8.7
                                                  A 26.23-mg sample of MgC 2 O 4 •H 2 O and inert materials is heated to constant
                                                  weight at 1200 °C, leaving a residue weighing 20.98 mg. A sample of pure
                                                  MgC 2 O 4 •H 2 O, when treated in the same fashion, undergoes a 69.08% change
                                                  in its mass. Determine the %w/w MgC 2 O 4 •H 2 O in the sample.
                                                  SOLUTION
                                                  The change in mass when analyzing the mixture is 5.25 mg, thus the grams of
                                                  MgC 2 O 4 •H 2 O in the sample is

                                                                   100 mg MgC O 4  · H O
                                                                             2
                                                                                    2
                                                                                          .
                                                       525 mg lost ´                   = 7 60 mg MgC O 4  ·  H O
                                                        .
                                                                                                    2
                                                                                                          2
                                                                       69.08 mg lost
                                                  The %w/w MgC 2 O 4 •H 2 O, therefore, is
                                                                            .
                                                                2
                                                          2
                                                   mg MgC O 4  · H O  ´100  =  760  mg  ´100  =29 0.%  w/w MgC O 4  · H O
                                                                                                              2
                                                                                                        2
                                                      mg sample            26.23 mg
                                              8C. 3  Evaluating Volatilization Gravimetry
                                              The scale of operation, accuracy, and precision of gravimetric volatilization
                                              methods are similar to that described in Section 8B.4 for precipitation gravime-
                                              try. The sensitivity for a direct analysis is fixed by the analyte’s chemical form
                                              following combustion or volatilization. For an indirect analysis, however, sensi-
                                              tivity can be improved by carefully choosing the conditions for combustion or
                                              volatilization so that the change in mass is as large as possible. For example, the
                                                                                                             H
                                              thermogram in Figure 8.9 shows that an indirect analysis for CaC 2 O 4×2 O
                                              based on the weight of the residue following ignition at 1000 °C will be more
                                              sensitive than if the ignition was done 300 °C. Selectivity does not present a
                                              problem for direct volatilization gravimetric methods in which the analyte is a
                                              gaseous product retained in an absorbent trap. A direct analysis based on the
                                              residue’s weight following combustion or volatilization is possible when the
                                              residue only contains the analyte of interest. As noted earlier, indirect analyses
                                              are only feasible when the residue’s change in mass results from the loss of a sin-
                                              gle volatile product containing the analyte.
                                                  Volatilization gravimetric methods are time- and labor-intensive. Equipment
                                              needs are few except when combustion gases must be trapped or for a thermogravi-
                                              metric analysis, which requires specialized equipment.



                                               8D Particulate Gravimetry

                                              Gravimetric methods based on precipitation or volatilization reactions require that
                                              the analyte, or some other species in the sample, participate in a chemical reaction
                                              producing a change in physical state. For example, in direct precipitation gravime-
                                              try, a soluble analyte is converted to an insoluble form that precipitates from solu-
                                              tion. In some situations, however, the analyte is already present in a form that may
                                              be readily separated from its liquid, gas, or solid matrix. When such a separation is
                                              possible, the analyte’s mass can be directly determined with an appropriate balance.
                                              In this section the application of particulate gravimetry is briefly considered.
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