Page 360 - Instrumentation Reference Book 3E
P. 360

Chemical analysis:

                       electrochemical techniques





             W. G. GUMMINGS and  K. TORRANCE,  edited by  I. VERHAPPEN



                   Acids and alkalis                  when  added  to water,  but  weak  alkalis  such  as
                                                      ammonium hydroxide (NH40H) are only slightly
             In order to appreciate electrochemical techniques   ionized in water and produce much smaller con-
             of  chemical  analysis  it  is  necessary  to  have  an   centrations of hydroxyl ions.
             understanding  of  how  substances  dissociate  to   As with weak acids, the strength of a weak base
             form ions.                               is indicated by its dissociation constant
               All  acids  dissociate  when  added  to  water  to
             prodiice hydrogen ions in the solution, e.g., nitric   K=  [B+l[OH-I
             acid:                                             IBOHI
                 HN03 + H+ + NO:                      where [B’]  is the concentration of  alkaline ions,
                                                      [OH-] is the concentration of hydroxyl ions, and
             The extent to which dissociation takes place var-   [BOH]  is  the  concentration  of  undissociated
             ies from acid to acid, and increases with increas-   alkali.
             ing dilution until, in very dilute solutions, almost   Strong  electrolytes have  no  dissociation  con-
             all the acid is dissociated.             stant;  the  expression   for   strong   acids
               According to the ionic theory, the characteris-   [A-][H+]/[HA] and the corresponding expression
             tic properties of acids are attributed to the hydro-   for alkalis vary considerably with change in con-
             gen  ions  (H’)  which  they  produce  in  solution.   centration.  With  strong  acids  and  alkalis  the
             Strong  acids  (nitric,  sulfuric,  hydrochloric)  are   apparent  degree of  ionization  can be taken  as a
             those  that  produce  a  large  concentration  of   measure of the strength of the acid or base.
             hydrogen  ions when added to water. As a result   So far it has  been  assumed that  the  effective
             the solutions are excellent conductors  of electri-   concentrations  or  active  masses  could  be
             city. Weak acids like carbonic acid (H2C03) and   expressed  by  the  stoichiometric  concentrations
             acetic acid (CH3COOH) when dissolved in water   but, according  to modern  thermodynamics, this
             produce  small concentrations  of  hydrogen  ions,   is  not  strictly  true.  For  a  binary  electrolyte
             and their solutions are poor conductors  of elec-   AB e A+ + B-  the correct equilibrium equation
             tricity.                                 is:
               The strength of a weak acid is indicated by its
             dissociation constant K which is defined as
                                                      where LZA+~B- and  AB represent the activities of
                                                      A’,  B-  and AB  and K,  is  the  thermodynamic
                                                      dissociation constant. The thermodynamic quan-
             where  [A-]  is  the  molar  concentration  of  the   tity  “activity”  is  related  to  concentration  by  a
             acidic ions, [H’]  is the concentration of hydrogen   factor  called  the  activity  coefficient,  Le.,
             ions,  and  [HA] is  the concentration  of undisso-   activity = concentration x activity coefficient.
             ciated acid.                               Using this concept, the thermodynamic activity
               The dissociation  constant  K  varies  with  tem-
             perature but.  at  a  given  temperature,  if  a  little   coefficient is
             more  acid is added to the solution, a portion of
             it dissociates immediately to restore the relative
             amount  of  ions  and  undissociated  acid  to  the
             original value.                          where f  refers to the activity coefficients and the
               Similarly, the  typical  properties  of  alkalis  in   square brackets to the molar concentrations. The
             solution are attributed to hydroxyl ions (OH-).   activity coefficients of unionized molecules do not
             Strong alkalis such as sodium hydroxide (NaOH)   differ much from unity, and so for weak electrolytes
             produce  large  concentrations  of  hydroxyl  ions   in which the ionic concentration, and therefore the
   355   356   357   358   359   360   361   362   363   364   365