Page 37 - MODERN ASPECTS OF ELECTROCHEMISTRY
P. 37

Zbigniew KoczorowskiA
                                   24
                                   molecules with the metal is rather we¸. The water dipoles are preferen -
                                   tiallyoriented with their protons toward the mercury. 23
                                                                                            -
                                                                                     0
                                                                                   H
                                       The standard Volta potential of the calomel electroded ∆ Ψ (Hg,Cl )
                                                                                   W
                                   was  determined  for  the  first  time  by  Klein  and  Lange,  but  the  accepted
                                   and usually  used  value  of this  potential  (equal  to  0.207  V)  was  found by
                                   Randles.48 Later measurements byFarrel and McTigue et al.21 and Antro-
                                          53
                                   pov et al. gave 0.212 V and 0.220 V, respectively. In the methanol a value
                                   equal to 0.25 has been found. 54
                                       VI.  REAL POTENTIALS OF IONS IN ELECTROLYTE
                                                          SOLUTIONS
                                                                S
                                   The real energyof ion solvation, α i , defined byEq. (2), expresses the
                                   change in ion energyupon its transfer from a gas phase into a solution.
                                   Unløp the chemical energyof solvation, µsi, the value of the real energy
                                   of solvation, also in the standard state, can be calculated from experimen-
                                   tal data using the formula, e.g., for the hydration of the cation 48,55 :
                                              0     0             0 ,M   0        0
                                                                               H g
                                                            H g
                                        0 ,W =F(E HgCl- -E Me, ⊥ Me α e + ∆G subl +∆G  ,M - F∆ W Ψ (Hg,Cl-)
                                                         +
                                     -α M                                ion
                                                                                           (8)
                                          o
                                   where E denotes the standard electrode's potential relative to a given and
                                                    H g
                                   calomel electrode, α e is the real potential of electron in mercury(i.e.,
                                                o
                                     Hg
                                   -φ e ),  and  ∆G gives the standard GibbÈ energies  of  sublimation and
                                   ionization of Hg. The latter three terms, according to the thermodynamic
                                   cycle, replace the real potential of ion in metal:
                                                      M +  Hg    0    0 ,M                 (9)
                                                    -α M  = α e +◊ G subl +G ion
                                       Equation  (8)  may be  easily  found from the  standard emf of the cell:
                                                                   MCL                      (I)
                                                    M Hg Hg Cl ,         M
                                                                 2
                                                              2
                                                                     s
                                   expressed  as  the  difference  in  relative  standard  electrode  potentials  and
                                   the  sum of the Volta potentials of the three interfaces,  and using definition
                                                               M
                                   (I). It is worth noting that ∆ S ϕ or g (ion) potential differences fulfill the
                                                         M
                                                               S
                                   Nernst  logarithmic  depedencies.=
                                       Expression (8) can be used to calculate the real energy of ions in any
                                   solvent,  provided  the  standard  potential  of the  calomel  electrode,  and  the
                                                                                  -
                                                                           0
                                                                       H g,0
                                   standard potentials of the elements and the ∆ s Ψ (Hg, Cl ) under study
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