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346  Chemical analysis: electrochemical techniques
            to be  due mainly to changes in  the viscosity of   (b)  comparing  the  measured  conductance  with
            water and the effect this has on the mobility and   that obtained from a cell of known cell constant
            hydration of the ions.                   when both cells contain the same solution at the
                                                     same temperature.
                                                       The  only  solutions  whose  conductivities  are
            17.3.3  Practical measurement of electrical   known  with  sufficient accuracy  to  be  used  for
            conductivity                             reference  purposes  are  aqueous  solutions  of
            From the foregoing, it can be seen that measure-   potassium  chloride.  This  salt  should  be  of  the
            ment of electrical conductivity enables concentra-   highest purity, at least  analytical reagent  grade,
            tion to be determined.                   and dried thoroughly in an oven at 120°C before
                                                     preparing  solutions  by  dissolving  in  deionized
                                                     water whose conductivity is less than 2 pSlcm at
            17.3.3.1  Alternating current cells with contacl   room  temperature.  The  most  accurate  reference
            electrodes
                                                     solutions  are  prepared  by  weight,  and  the  two
            Conductivity cells provide the means of conduct-   most useful solutions are given in Table 17.4.
            ing a small, usually alternating, current through a
            precise volume of liquid  whose  conductivity we   Table 17.4  Standard solutions for cell calibration
            wish  to  know.  At  its  simplest,  this  process
            involves  the  measurement  of  the  resistance   Solution   K  at 18°C   IE. at 25°C
            between  two electrodes of  fixed shape and con-   g KclllOOOg solution*   S m-‘   s rn-I
            stant distance apart. The relationship between the
            specific conductivity  K  of  the  solution  and  the   (A) 7.4191   1.1163   1.2852
            resistance R across the electrodes includes a cell   (B) 0.7453   0.12201   0.14083
            constant “a” such that                   *All values are “mass in vacuo.”
                6 = a1R
                                                       For many purposes a simpler procedure can be
            If we express the conductivity in units of  S cm-I   followed. This involves weighing only the potas-
            then the cell constant has the dimension of cm-’ .   sium chloride and preparing solutions by volume
            In order to simplify the electrical circuits of the   at 20 “C; these details are given in Table  17.5.
            measuring  instruments it  is customary  to main-
            tain  the  resistance of  conductivity cells  between
            the limits of 10 and 100,000 R. The conductivity of   Table 17.5  Standard solutions (volumetric) for cell
            aqueous solutions varies from pure water  with  a   calibration
            conductivity  of  about 5 plm to those of concen-
            trated  electrolytes with conductivities as high as   Solution   K  at 18°C   IE.  at 25°C
            1000 S/m. In order to keep within these resistance   (A’) 7.4365g KC1/1   1.1167s m-’   1.2856s rn-l
            limits it is necessary, therefore, to have cells with   at 20°C
            a range of cell constants from 0.01 to lOOcm-’.  A   (B’) 0.7440g Kclll   0.1221 S rn-l   0.1409s m-’
            working  guide to the most  appropriate  value of   at 20°C
            cell constant for any given range of conductivity   (C’)  100ml of   -   146.93 pS  cm-’*
            is shown in Table 17.3.                      solution B’
              In order to measure the conductivity accurately   made up to
            it  is necessary to  know  the  cell  constant  accur-   1 liter at 20°C
            ately.  It  is usual  to determine  the  cell constant   *  For  the  highest  accuracy  the conductivity  of  the  dilution  water
            by  preferably  (a)  measuring  the  conductance   should be added to this value.
            when the cell is filled with a solution whose con-
            ductivity  is  accurately  known  or,  failing  that,   Calibration of  conductivity cells by  these  solu-
                                                      tions requires considerable care if accurate values of
                                                      cell constants are to be determined. The importance
            Table 17.3  Guide to cell constant for known conductivity   of temperature control cannot be over-emphasized
            range
                                                      since  the  conductivity  of  the  potassium  chloride
            Conductivity range           Cell constant   solution will change by over 2 percent per Kelvin.
            pS  cm-’                     cm-          Alternatively, the cell constant can be  determined
                                                      by the comparison technique with identical, rather
            0.05 to 20                    0.01        than standard conditions in both the “known” and
              1 to 200                    0.1         ”unknown” cell. Equally important as the effect of
              10 to 2000                  1
             100 to 20 000               10           temperature is  that  of  polarization in  these cells
             100 to 200 000              50           where the electrodes contact the solution and con-
                                                      duct a significant current.
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