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              26     Modern Analytical Chemistry


                                                 Fulcrum
                                                           Balance beam
                                                             Fulcrum
                                                                    Counterweight


                                                         Removable weights





              Figure 2.3
              Schematic diagram of single-arm mechanical
              balance.                         Balance pan






                                                  The mass of a sample is determined by difference. If the material being weighed
                                              is not moisture-sensitive, a clean and dry container is placed on the balance. The
                                              mass of this container is called the tare. Most balances allow the tare to be automat-
                                              ically adjusted to read a mass of zero. The sample is then transferred to the con-
                                              tainer, the new mass is measured and the sample’s mass determined by subtracting
                                              the tare. Samples that absorb moisture from the air are weighed differently. The
                                              sample is placed in a covered weighing bottle and their combined mass is deter-
                                              mined. A portion of the sample is removed, and the weighing bottle and remaining
                                              sample are reweighed. The difference between the two masses gives the mass of the
                                              transferred sample.
                                                  Several important precautions help to minimize errors in measuring an object’s
                                              mass. Balances should be placed on heavy surfaces to minimize the effect of vibra-
                                              tions in the surrounding environment and should be maintained in a level position.
                                              Analytical balances are sensitive enough that they can measure the mass of a finger-
                                              print. For this reason, materials placed on a balance should normally be handled
                                              using tongs or laboratory tissues. Volatile liquid samples should be weighed in a
                                              covered container to avoid the loss of sample by evaporation. Air currents can sig-
                                              nificantly affect a sample’s mass. To avoid air currents, the balance’s glass doors
                                              should be closed, or the balance’s wind shield should be in place. A sample that is
                                              cooler or warmer than the surrounding air will create convective air currents that
                                              adversely affect the measurement of its mass. Finally, samples dried in an oven
                                              should be stored in a desiccator to prevent them from reabsorbing moisture from
                                              the atmosphere.


                                              2D.2 Equipment for Measuring Volume
                                              Analytical chemists use a variety of glassware to measure volume, several examples
                                              of which are shown in Figure 2.4. The type of glassware used depends on how exact
                                              the volume needs to be. Beakers, dropping pipets, and graduated cylinders are used
                                              to measure volumes approximately, typically with errors of several percent.
               volumetric flask                   Pipets and volumetric flasks provide a more accurate means for measuring vol-
               Glassware designed to contain a specific
               volume of solution when filled to its  ume. When filled to its calibration mark, a volumetric flask is designed to contain a
               calibration mark.              specified volume of solution at a stated temperature, usually 20 °C. The actual vol-
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