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Uses of Radioactive  Tracers                  259


                                                           Photosynthesis  ]
                                                                         ~"
                                                           Spinoch  Cell
                                                               plus NH4*



                                                              Molote     3:
                                          Alonine   Ol~emte   f~l~llb    <['-~  ~

                                                                 Citrate   "~
                                                                         ...
                                                                          Q.
                                                                          ~-
                                                          Jutonmte       Q.
                                       Glu                                c
                                                           ASl)Ortote    "  0
                                                               3- PGA    oO
                                                   Sucrose          t
                                                              G6P
                                                              FrP  ~     6PG
                                                               UDPG  ,~   ~,
                                                                    Slorch Q
                                -     Phenol'  Acetic Acid: t420,24 hr
                      FIG.  9.8.  Two-dimensional  paper radiochromatogram  of 14C-labeled products  in photo-
                      synthesis after exposure to 14CO2 atmosphere.  (Courtesy Calvin and Lemmon.)




               9.4.2.  Determination  of chemical exchange rates

                If two different  chemical  species  with  some element  in common are  mixed  in  solution,
               exchange  of this  common component  may occur.  The chemical  equation would have  the
               form

                                         AX  +  BX*  ~AX*  +  BX

               Since the type and concentration of the chemical species remain unchanged, it is impossible
               to  observe  the  exchange  unless  the  atoms  in  one  reactant  are  labeled.  By  using  X*,  a
               radioactive  isotope  of  X,  the  reaction  may  be  followed,  and  at  equilibrium  the  activity
               should be uniformly distributed between the two chemical species,  i.e.  the specific activity
               of X*  will  be  the  same  for both  AX  and  BX.  Of course,  if AX  and  BX  are  both  strong
               electrolytes,  uniform distribution is essentially immediate upon mixing.  If at least one of
               the  reactants  is  an  inorganic  complex  or  an  organic  molecule,  the  exchange  may  be
               measurably  slow if it occurs at all.
                Since the chemical  form of the reactants is not altered by the isotopic exchange,  there is
               no  change  in  heat  content.  However,  the  entropy  of the  total  system  is  increasexl  when
               uniformity in the distribution of the isotopes of X is achieved throughout the system.  This
               entropy  increase  provides  a  decrease  in  the  free  energy,  making  isotopic  exchange  a
               spontaneous  reaction.  Despite  this  spontaneity,  the  exchange  may  be  prevented  or  made
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