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                                                                         Chapter 8 Gravimetric Methods of Analysis  233

                  8A Overview of Gravimetry

                 Before we look more closely at specific gravimetric methods and their applications,
                 let’s take a moment to develop a broad survey of gravimetry. Later, as you read  gravimetry
                 through the sections of this chapter discussing different gravimetric methods, this  Any method in which the signal is a mass
                 survey will help you focus on their similarities. It is usually easier to understand a  or change in mass.
                 new method of analysis when you can see its relationship to other similar methods.

                 8A.1 Using Mass as a Signal
                 At the beginning of this chapter we indicated that in gravimetry we measure mass
                 or a change in mass. This suggests that there are at least two ways to use mass as an
                 analytical signal. We can, of course, measure an analyte’s mass directly by placing it
                 on a balance and recording its mass. For example, suppose you are to determine the
                 total suspended solids in water released from a sewage-treatment facility. Sus-
                 pended solids are just that; solid matter that has yet to settle out of its solution ma-
                 trix. The analysis is easy. You collect a sample and pass it through a preweighed fil-
                 ter that retains the suspended solids. After drying to remove any residual moisture,
                 you weigh the filter. The difference between the filter’s original mass and final mass
                 gives the mass of suspended solids. We call this a direct analysis because the analyte
                 itself is the object being weighed.
                                                            2+
                     What if the analyte is an aqueous ion, such as Pb ? In this case we cannot iso-
                 late the analyte by filtration because the Pb 2+  is dissolved in the solution’s matrix.
                 We can still measure the analyte’s mass, however, by chemically converting it to a
                 solid form. If we suspend a pair of Pt electrodes in our solution and apply a suffi-
                 ciently positive potential between them for a long enough time, we can force the
                 reaction
                               2+
                                                                    +
                             Pb (aq)+4H 2 O(l) t PbO 2 (s)+H 2 (g)+2H 3 O (aq)
                 to go to completion. The Pb 2+  ion in solution oxidizes to PbO 2 and deposits on the
                 Pt electrode serving as the anode. If we weigh the Pt anode before and after applying
                 the potential, the difference in the two measurements gives the mass of PbO 2 and,
                                                         2+
                 from the reaction’s stoichiometry, the mass of Pb . This also is a direct analysis be-
                 cause the material being weighed contains the analyte.
                     Sometimes it is easier to remove the analyte and use a change in mass as the
                 analytical signal. Imagine how you would determine a food’s moisture content by
                 a direct analysis. One possibility is to heat a sample of the food to a temperature
                 at which the water in the sample vaporizes. If we capture the vapor in a
                 preweighed absorbent trap, then the change in the absorbent’s mass provides a di-
                 rect determination of the amount of water in the sample. An easier approach,
                 however, is to weigh the sample of food before and after heating, using the change
                 in its mass as an indication of the amount of water originally present. We call this
                 an indirect analysis since we determine the analyte by a signal representing its
                 disappearance.
                     The indirect determination of moisture content in foods is done by difference.
                 The sample’s initial mass includes the water, whereas the final mass is measured
                 after removing the water. We can also determine an analyte indirectly without its
                 ever being weighed. Again, as with the determination of Pb 2+  as PbO 2 (s), we take
                                                                       3–
                 advantage of the analyte’s chemistry. For example, phosphite, PO 3 , reduces Hg 2+
                      2+
                                         –
                 to Hg 2 . In the presence of Cl a solid precipitate of Hg 2 Cl 2 forms.
                                                                                3–
                                                                       –
                                                              +
                                3–
                 2HgCl 2 (aq)+PO 3 (aq)+3H 2 O(l) t Hg 2 Cl 2 (s)+2H 3 O (aq) + 2Cl (aq)+ PO 4 (aq)
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