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                                                                         Chapter 8 Gravimetric Methods of Analysis  255

                     Consider, for example, the determination of Fe as Fe 2 O 3 . Using a conservation
                 of mass for Fe we write
                                        2 ´moles Fe 2 O 3 = moles Fe

                 Converting moles to grams and rearranging yields an equation in the form of 8.13
                                               1  FW Fe O 3
                                                        2
                                     g Fe O 3 =  ´          ´ g Fe
                                        2
                                               2    AW Fe
                 where k is equal to
                                              1   FW Fe O 3
                                                       2
                                          k =    ´                               8.14
                                               2    AW Fe
                 As can be seen from equation 8.14, we may improve a method’s sensitivity in two
                 ways. The most obvious way is to increase the ratio of the precipitate’s molar mass
                 to that of the analyte. In other words, it is desirable to form a precipitate with as
                 large a formula weight as possible. A less obvious way to improve the calibration
                 sensitivity is indicated by the term of 1/2 in equation 8.14, which accounts for the
                 stoichiometry between the analyte and precipitate. Sensitivity also may be improved
                 by forming precipitates containing fewer units of the analyte.

                 Selectivity  Due to the chemical nature of the precipitation process, precipitants
                 are usually not selective for a single analyte. For example, silver is not a selective
                 precipitant for chloride because it also forms precipitates with bromide and iodide.
                 Consequently, interferents are often a serious problem that must be considered if
                 accurate results are to be obtained.


                 Time, Cost, and Equipment Precipitation gravimetric procedures are time-intensive
                 and rarely practical when analyzing a large number of samples. However, since much
                 of the time invested in precipitation gravimetry does not require an analyst’s immedi-
                 ate supervision, it may be a practical alternative when working with only a few sam-
                 ples. Equipment needs are few (beakers, filtering devices, ovens or burners, and bal-
                 ances), inexpensive, routinely available in most laboratories, and easy to maintain.



                  8C Volatilization Gravimetry
                 A second approach to gravimetry is to thermally or chemically decompose a solid
                 sample. The volatile products of the decomposition reaction may be trapped and
                 weighed to provide quantitative information. Alternatively, the residue remaining
                 when decomposition is complete may be weighed. In thermogravimetry, which is  thermogravimetry
                 one form of volatilization gravimetry, the sample’s mass is continuously monitored  A form of volatilization gravimetry in
                 while the applied temperature is slowly increased.                      which the change in a sample’s mass is
                                                                                         monitored while it is heated.

                 8C.1 Theory and Practice
                 Whether the analysis is direct or indirect, volatilization gravimetry requires that the
                 products of the decomposition reaction be known. This requirement is rarely a
                 problem for organic compounds for which volatilization is usually accomplished by
                 combustion and the products are gases such as CO 2 , H 2 O, and N 2 . For inorganic
                 compounds, however, the identity of the volatilization products may depend on the
                 temperature at which the decomposition is conducted.
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