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10   TlTRlMETRlC ANALYSIS

         For use in titrimetric analysis a reaction must fulfil the following conditions.
       1. There  must  be  a  simple  reaction  which  can  be  expressed  by  a  chemical
         equation; the substance to be  determined should react completely with the
         reagent in stoichiometric or equivalent proportions.
       2.  The  reaction  should  be  relatively  fast.  (Most  ionic  reactions  satisfy  this
         condition.)  In some cases  the  addition  of  a  catalyst  may  be  necessary  to
         increase the speed of  a reaction.
       3.  There must  be  an alteration in  some physical or chemical property  of  the
         solution at the equivalence point.
       4.  An indicator should be available which, by a change in physical  properties
         (colour or formation  of  a  precipitate),  should sharply define the end point
         of  the  reaction.  [If  no  visible  indicator is  available,  the  detection  of  the
         equivalence  point  can  often  be  achieved  by  following  the  course  of  the
         titration by measuring (a) the potential between  an indicator electrode and
         a  reference  electrode  (potentiornetric  titration,  see  Chapter  15); (b)  the
         change in electrical conductivity of the solution (conductirnetric titration, see
         Chapter 13); (c) the current which passes through the titration ce11 between
         an indicator electrode  and  a  depolarised  reference  electrode  at  a  suitable
         applied e.m.f. (arnperometric titration, see Chapter  16); or (d) the change in
         absorbance of the solution (spectrophotornetric titration, see Section 17.48).]
         Titrimetric methods are normally capable of high precision (1 part in  1000)
       and wherever applicable possess obvious advantages over gravimetric methods.
       They  need  simpler  apparatus,  and  are,  generally,  quickly  performed;  tedious
       and  difficult  separations  can  often  be  avoided.  The  following  apparatus  is
       required  for  titrimetric  analysis:  (i) calibrated  measuring  vessels,  including
       burettes, pipettes, and measuring flasks (see Chapter 3); (ii) substances of known
       purity  for the preparation of  standard solutions; (iii) a visual  indicator  or an
       instrumental method for detecting the completion of the reaction.


       10.2  CLASSIFICATION OF  REACTIONS  IN TlTRlMETRlC  ANALYSIS
       The reactions  employed in titrimetric analysis fa11 into four main classes. The
       first three of these involve no change in oxidation state as they are dependent
       upon  the  combination  of  ions.  But  the  fourth  class,  oxidation-reduction
       reactions,  involves  a  change  of  oxidation  state or, expressed  another  way,  a
       transfer of electrons.

       1. Neutralisation  reactions,  or  acidirnetry  and  alkalirnetry.  These  include  the
       titration  of free bases, or those formed from salts of weak acids by hydrolysis,
       with a standard acid (acidirnetry), and the titration of free acids, or those formed
       by  the hydrolysis  of  salts of  weak  bases,  with  a  standard  base  (alkalirnetry).
       The reactions involve the combination of hydrogen and hydroxide ions to form
       water.
         Also under this heading must be included titrations in non-aqueous solvents,
       most of  which involve organic compounds.
       2.  Cornplex formation reactions.  These depend upon the combination of  ions,
       other than hydrogen or hydroxide ions, to form a soluble, slightly dissociated
       ion or compound, as in the titration of a solution of a cyanide with silver nitrate
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