Page 92 - Vogel's TEXTBOOK OF QUANTITATIVE CHEMICAL ANALYSIS
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2   FUNDAMENTAL  THEORETICAL PRINCIPLES OF REACTIONS IN SOLUTION

       2.30  CALCULATION  OF THE e.m.f.  OF A VOLTAIC  CELL
       An  interesting  application  of  electrode  potentials is  to  the calculation of  the
       e.m.f. of  a voltaic cell. One of  the simplest of gaivanic cells is the Daniell cell.
       It consists  of  a  rod  of  zinc dipping into zinc sulphate solution and a  strip of
       copper in copper sulphate solution; the two  solutions are generally separated
       by placing one inside a porous pot and the other in the surrounding vessel. The
       ce11 may be represented  as:


       At the zinc electrode, zinc ions pass into solution, leaving an equivalent negative
       charge on the metal. Copper ions are deposited at the copper electrode, rendering
       it positively charged. By completing the external circuit, the current (electrons)
       passes  from the zinc to  the copper. The chemical  reactions  in  the ce11 are as
       follows:
       (a) zinc electrode: Zn = ZnZ+ + 2e;
       (b)  copper electrode: CuZ+ + 2e e Cu.
       The net chemical reaction is:


       The potential  difference  at each  electrode may  be  calculated  by  the formula
       given  above, and  the  e.m.f. of  the  ce11  is  the  algebraic difference  of  the  two
       potentials, the correct sign being  applied  to each.
         As  an example  we  may  calculate the e.m.f. of  the  Daniell ce11  with  molar
       concentrations of  zinc ions and copper(I1) ions:


       The small potential difference produced at the contact between the two solutions
       (the so-called liquid-junction  potential) is neglected.


       2.31  OXIDATION-REDUCTION  CELLS
       Reduction is accompanied  by  a  gain of electrons, and oxidation  by  a  loss of
       electrons.  In a  system  containing  both  an oxidising  agent  and  its  reduction
       product, there will be  an equilibrium between them  and electrons. If  an inert
       electrode,  such  as  platinum,  is  placed  in  a  redox  system,  for  example,  one
       containing Fe(II1) and Fe(I1) ions, it will assume a definite potential indicative
       of the position  of equilibrium. If  the system tends to act as an oxidising agent,
       then Fe3+ + FeZ+ and it will take electrons from the platinum, leaving the latter
                                                                  + + Fe3+),
       positively charged; if, however, the system has reducing properties (FeZ
       electrons will be given up to the metal, which will then acquire a negative charge.
       The  magnitude  of  the  potential  will  thus  be  a  measure  of  the  oxidising  or
       reducing properties of  the system.
         To  obtain comparative  values  of  the  'strengths'  of  oxidising  agents, it  is
       necessary, as in the case of  the electrode  potentials of  the metals, to measure
       under  standard  experimental conditions  the  potential  difference between  the
       platinum  and  the  solution  relative  to  a  standard  of  reference.  The  primary
       standard is the standard  or normal hydrogen  electrode (Section 2.28) and its
       potential is taken as zero. The standard experimental conditions for the redox
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