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              30     Modern Analytical Chemistry


                                               2E Preparing Solutions

                                              Preparing a solution of known concentration is perhaps the most common activity
                                              in any analytical lab. The method for measuring out the solute and solvent depend
                                              on the desired concentration units, and how exact the solution’s concentration
                                              needs to be known. Pipets and volumetric flasks are used when a solution’s concen-
                                              tration must be exact; graduated cylinders, beakers, and reagent bottles suffice when
                                              concentrations need only be approximate. Two methods for preparing solutions are
                                              described in this section.

                                              2E.1 Preparing Stock Solutions

               stock solution                 A stock solution is prepared by weighing out an appropriate portion of a pure solid
               A solution of known concentration from  or by measuring out an appropriate volume of a pure liquid and diluting to a
               which other solutions are prepared.
                                              known volume. Exactly how this is done depends on the required concentration
                                              units. For example, to prepare a solution with a desired molarity you would weigh
                                              out an appropriate mass of the reagent, dissolve it in a portion of solvent, and bring
                                              to the desired volume. To prepare a solution where the solute’s concentration is
                                              given as a volume percent, you would measure out an appropriate volume of solute
                                              and add sufficient solvent to obtain the desired total volume.

                                                  EXAMPLE 2. 9

                                                  Describe how you would prepare the following three solutions: (a) 500 mL of
                                                  approximately 0.20 M NaOH using solid NaOH; (b) 1 L of 150.0 ppm Cu 2+
                                                  using Cu metal; and (c) 2 L of 4% v/v acetic acid using concentrated glacial
                                                  acetic acid.

                                                  SOLUTION
                                                  (a) Since the concentration only needs to be known to two significant figures,
                                                     the mass of NaOH and volume of solution do not need to be measured
                                                     exactly. The desired mass of NaOH is
                                                                               .
                                                                   020 mol   400 g
                                                                    .
                                                                                     .
                                                                           ´       ´ 050 L = 4.0 g
                                                                      L       mol
                                                     To prepare the solution we place 4.0 g of NaOH, weighed to the nearest tenth
                                                     of a gram, in a bottle or beaker and add approximately 500 mL of water.
                                                                             2+
                                                  (b) Since the concentration of Cu needs to be exact, the mass of Cu metal
                                                     and the final solution volume must be measured exactly. The desired mass
                                                     of Cu metal is
                                                                150.0 mg
                                                                           .
                                                                        ´ 1 000 L = 150.0 mg = 0.1500 g
                                                                   L
                                                     To prepare the solution we measure out exactly 0.1500 g of Cu into a small
                                                     beaker. To dissolve the Cu we add a small portion of concentrated HNO 3
                                                     and gently heat until it completely dissolves. The resulting solution is
                                                     poured into a 1-L volumetric flask. The beaker is rinsed repeatedly with
                                                     small portions of water, which are added to the volumetric flask. This
               quantitative transfer                                                                       2+
               The process of moving a sample from   process, which is called a quantitative transfer, ensures that the Cu is
               one container to another in a manner  completely transferred to the volumetric flask. Finally, additional water is
               that ensures all material is transferred.  added to the volumetric flask’s calibration mark.
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