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              234    Modern Analytical Chemistry


                                                                                   3–
                                              If HgCl 2 is added in excess, each mole of PO 3 produces one mole of Hg 2 Cl 2 . The
                                              precipitate’s mass, therefore, provides an indirect measurement of the mass of
                                                 3–
                                              PO 3 present in the original sample.
                                                  Summarizing, we can determine an analyte gravimetrically by directly deter-
                                              mining its mass, or the mass of a compound containing the analyte. Alternatively,
                                              we can determine an analyte indirectly by measuring a change in mass due to its
                                              loss, or the mass of a compound formed as the result of a reaction involving the
                                              analyte.


                                              8A.2 Types of Gravimetric Methods
                                              In the previous section we used four examples to illustrate the different ways that
                                              mass can serve as an analytical signal. These examples also illustrate the four gravi-
                                              metric methods of analysis. When the signal is the mass of a precipitate, we call the
                                                                                                      3–
               precipitation gravimetry       method precipitation gravimetry. The indirect determination of PO 3 by precipi-
               A gravimetric method in which the  tating Hg 2 Cl 2 is a representative example, as is the direct determination of Cl by
                                                                                                              –
               signal is the mass of a precipitate.
                                              precipitating AgCl.
                                                  In electrogravimetry the analyte is deposited as a solid film on one electrode in
               electrogravimetry              an electrochemical cell. The oxidation of Pb , and its deposition as PbO 2 on a Pt
                                                                                  2+
               A gravimetric method in which the
               signal is the mass of an electrodeposit on  anode is one example of electrogravimetry. Reduction also may be used in electro-
               the cathode or anode in an     gravimetry. The electrodeposition of Cu on a Pt cathode, for example, provides a
                                                               2+
               electrochemical cell.          direct analysis for Cu .
                                                  When thermal or chemical energy is used to remove a volatile species, we call
               volatilization gravimetry      the method volatilization gravimetry. In determining the moisture content of
               A gravimetric method in which the loss  food, thermal energy vaporizes the H 2 O. The amount of carbon in an organic com-
               of a volatile species gives rise to the  pound may be determined by using the chemical energy of combustion to convert
               signal.
                                              C to CO 2 .
                                                  Finally, in particulate gravimetry the analyte is determined following its re-
               particulate gravimetry
               A gravimetric method in which the mass  moval from the sample matrix by filtration or extraction. The determination of sus-
               of a particulate analyte is determined  pended solids is one example of particulate gravimetry.
               following its separation from its matrix.
                                              8A. 3  Conservation of Mass
                                              An accurate gravimetric analysis requires that the mass of analyte present in a sam-
                                              ple be proportional to the mass or change in mass serving as the analytical signal.
                                              For all gravimetric methods this proportionality involves a conservation of mass.
                                              For gravimetric methods involving a chemical reaction, the analyte should partici-
                                              pate in only one set of reactions, the stoichiometry of which indicates how the pre-
                                              cipitate’s mass relates to the analyte’s mass. Thus, for the analysis of Pb 2+  and PO 3 3–
                                              described earlier, we can write the following conservation equations
                                                                     Moles Pb 2+  = moles PbO 2

                                                                             3–
                                                                    Moles PO 3 = moles Hg 2 Cl 2
                                              Removing the analyte from its matrix by filtration or extraction must be complete.
                                              When true, the analyte’s mass can always be found from the analytical signal; thus,
                                              for the determination of suspended solids we know that
                                                        Filter’s final mass – filter’s initial mass = g suspended solid
                                              whereas for the determination of the moisture content we have

                                                           Sample’s initial mass – sample’s final mass = g H 2 O
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