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              278    Modern Analytical Chemistry


                                                      9
                                               Table  .1    Specifications for Volumetric
                            0
                                                            Burets
                                              Volume                  Subdivision     Tolerance
                            1
                                                (mL)       Class a       (mL)           (mL)
                            2                     5          A           0.01           ±0.01
                                                             B           0.01           ±0.02
                                                 10          A           0.02           ±0.02
                                                             B           0.02           ±0.04
                                                 25          A           0.1            ±0.03
                                                             B           0.1            ±0.06
                                                 50          A           0.1            ±0.05
                                                             B           0.1            ±0.10
                                                100          A           0.2            ±0.10
                                                             B           0.2            ±0.20


                                              a Specifications for class A and class B glassware are taken from American
                                              Society for Testing Materials (ASTM) E288, E542, and E694 standards.




                                              (Table 9.1), with the choice of buret determined by the demands of the analysis.
                                              The accuracy obtainable with a buret can be improved by calibrating it over several
                                              intermediate ranges of volumes using the same method described in Chapter 5 for
                                              calibrating pipets. In this manner, the volume of titrant delivered can be corrected
                                              for any variations in the buret’s internal diameter.
                                                  Titrations may be automated using a pump to deliver the titrant at a constant
              Figure 9.4
                                              flow rate, and a solenoid valve to control the flow (Figure 9.5). The volume of
              Volumetric buret showing a portion of its
              graduated scale.                titrant delivered is determined by multiplying the flow rate by the elapsed time. Au-
                                              tomated titrations offer the additional advantage of using a microcomputer for data
                                              storage and analysis.


                                               9 B Titrations Based on Acid–Base Reactions

               acid–base titration            The earliest acid–base titrations involved the determination of the acidity or alka-
               A titration in which the reaction between  linity of solutions, and the purity of carbonates and alkaline earth oxides. Before
               the analyte and titrant is an acid–base  1800, acid–base titrations were conducted using H 2SO 4, HCl, and HNO 3 as acidic
               reaction.
                                              titrants, and K 2 CO 3 and Na 2 CO 3 as basic titrants. End points were determined
                                              using visual indicators such as litmus, which is red in acidic solutions and blue in
                                              basic solutions, or by observing the cessation of CO 2 effervescence when neutraliz-
                                                     2–
                                              ing CO 3 . The accuracy of an acid–base titration was limited by the usefulness of
                                              the indicator and by the lack of a strong base titrant for the analysis of weak acids.
                                                  The utility of acid–base titrimetry improved when NaOH was first introduced
                                              as a strong base titrant in 1846. In addition, progress in synthesizing organic dyes
                                              led to the development of many new indicators. Phenolphthalein was first synthe-
                                              sized by Bayer in 1871 and used as a visual indicator for acid–base titrations in
                                              1877. Other indicators, such as methyl orange, soon followed. Despite the increas-
                                              ing availability of indicators, the absence of a theory of acid–base reactivity made se-
                                              lecting a proper indicator difficult.
                                                  Developments in equilibrium theory in the late nineteenth century led to sig-
                                              nificant improvements in the theoretical understanding of acid–base chemistry and,
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