Page 159 - Thermodynamics of Biochemical Reactions
P. 159

158     Chapter 9  Oxidation-Reduction  Reactions


                                              Table 9.1   Standard Reduction Potentials E”  at 298.15 K,  1 bar,
                                              and Zero Ionic Strength

                                              Half-reaction                                     E0 /v

                                              F,(g)  + 2e-  = 2F-                               2.87
                                              O,(g) + 4Hf + 4e-  = 2H,O                         1.2288
                                              Fe3+ + e-  = Fe2+                                 0.77 1
                                              O,(g) + 2FI’  + 2e-  = H,O,                       0.70
                                              N,(g)  + 8H’  + 6e-  = 2NHf                       0.274
                                              C,H,O(acetaldehyde)  + 2H’  + 2e-  = C,H,O(ethanol)   0.22  1
                                              CU,+  + e-  = Cuf                                 0.153
                                              2H ‘ + 2e-  = H,(g)                               0
                                              Fe2+ + 2e  ~  = Fe(s)                           - 0.440
                                              Li’  + e-  = Li(s)                              - 3.045




                                       This equation is the basis  for  the  statement  that  knowledge of  E:  and  E;:  at a
                                       specified pH  for  the  two  half-reactions  determines  the  direction  of  spontaneous
                                       reaction  for the overall redox  reaction.
                                           I. H. Segel(1976) discussed oxidation-reduction  reactions very clearly and has
                                       written: “When any two of the half-reactions are coupled, the one with the greater
                                       tendency  to gain  electrons  (the one with  the more  positive  reduction  potential)
                                       goes  as written  (as a  reduction). Consequently, the  other  half-reaction  (the one
                                       with the lesser tendency to gain electrons as shown  by the less positive reduction
                                       potential)  is  driven  backwards  (as  an  oxidation).  The  reduced  forms  of  those
                                       substances  with  highly  negative  reduction  potentials  are  good  reducing  agents
                                       (and  are  easily  oxidized).  The  oxidized  forms  of  those  substances  with  highly
                                       positive reduction potentials are good oxidizing agents (and are easily reduced).”
                                           A few standard reduction potentials of  chemical half reactions  at 298.1  5  K. 1
                                       bar, and  zero ionic strength  are given in  Table  9.1. Note that  the  half-reactions
                                       balance  atoms and charges  and that the half-reactions  are arbitrarily  written  in
                                       such  a way  that there  are no fractional  stoichiometric  numbers. It is  interesting
                                       to consider the extremes in this table. The fluorine molecule-fluoride ion electrode
                                       has  a  very  high  affinity  for  electrons,  and  this  is  indicated  by  its  very  positive
                                       standard reduction potential. Thus gaseous fluorine is a powerful oxidizing agent.
                                       At  the other extreme,  the  lithium  ion-metallic  lithium  electrode  has  a  very  low
                                       affinity for electrons, and this is indicated  by its very negative standard reduction
                                       potential. Thus lithium metal is a powerful reducing agent. Oxidizing agents with
                                       reduction  potentials above 1.2 V tend  to oxidize H,O  to O,(g),  and metals with
                                       negative  reduction  potentials  tend  to  reduce  H,O  to  H,(g).  Note  that  half-
                                       reactions  with  more positive  reduction  potentials  than  1.229 V  tend  to produce
                                       oxygen  gas  in  aqueous  solutions  and  half-reactions  with  negative  reduction
                                       potentials tend  to produce molecular  hydrogen.


                                          9.2  OXIDATION-REDUCTION REACTIONS
                                                INVOLVING SINGLE SPECIES AT SPECIFIED pH

                                       When reactants  in half-reactions involve only single species in a range of  pH. the
                                       dependence of  E”  on pH is linear in this range. The standard apparent reduction
                                       potentials  of  a  number  of  half-reactions  have  been  calculated  at  298.15 K  at  a
                                       series of pHs and ionic strengths and are given in Table 9.2. This table gives both
                                       the  chemical  form  of  the  half  reaction  and  the  biochemical  form  of  the  half-
                                       reaction. The chemical form is useful for understanding the pH and ionic strength
                                       dependencies  of  the  standard  apparent  reduction  potentials,  but  the  standard
                                       apparent  reduction  potentials  apply  at  a  specified  pH  and  ionic  strength  and
   154   155   156   157   158   159   160   161   162   163   164