Page 172 - Thermodynamics of Biochemical Reactions
P. 172

Thernwdyanamics of Biochemical Reactions. Robert A. Alberty
                                                                               Copyright 0 2003 John Wiley & Sons, Inc.
                                                                                              ISBN 0-471-22851-6





































                          4  10.1  Calorimetric Determination  of  the Standard
                                   Transformed  Enthalpy  of  Reaction
                          R  10.2  Calculation of  Standard Transformed
                                   Enthalpies of  Reaction  from the Standard
                                   Enthalpies  of  Formation of  Species
                             10.3  Calculation of  Standard Transformed Entropies
                                   of  Biochemical  Reactions
                          %"  10.4  Effect of  Temperature





                          The enthalpy  H  of  a chemical reaction system is of special interest  because when
                          a reaction  occurs at constant pressure, the change in enthalpy is equal to the heat
                          absorbed; AH = qp. The standard enthalpy  A,Ho of  a chemical  reaction  can be
                          obtained by determining the heat of reaction calorimetrically or by measuring the
                          dependence  of  the equilibrium  constant K  on temperature.  The standard trans-
                          formed enthalpy A,H"  of a biochemical reaction can be obtained  by determining
                          the  heat  of  reaction  at  specified  pH  or  by  measuring  the  dependence  of  the
                          apparent  equilibrium  constant  K'  on  temperature.  The  determination  of  the
                          transformed enthalpy of reaction  of a biochemical reaction  is complicated by the
                          fact  that  the  biochemical  reaction may  produce or consume hydrogen  ions  that
                          react  with  the  buffer  to  produce  an  additional  heat  effect  in  a  calorimetric
                          measurement. When the reactants bind metal ions, a similar effect will occur if the
                          metal  ion  is  bound  by  a  reactant.  If  these  effects are  properly  handled  in  the
                          analysis  of  calorimetric data, the transformed  enthalpies  of  reaction  determined
                          from  equilibrium  constants  and  from  calorimetric  measurements  should  agree.
                          Enthalpies  of  reaction  may  be  rather constant over  narrow temperature ranges,
                          but  over  wider  temperature  ranges,  it  is  necessary  to  take  into  account  the
                          dependence  of  the heat  of  reaction  on temperature.  For  a  biochemical  reaction
                          the effect of  temperature  on the heat of  reaction  depends on the pH.
                             If  the  change  in  heat  capacity  in  a chemical  reaction  is  equal  to zero,  the
                          enthalpy  of  the  reaction  is  independent  of  temperature,  and  the  equilibrium
                          constant  of  the  chemical  reaction  can  be  readily  calculated  over  a  range  of
                          temperature  without  making  an  integration,  as  described  in  Section  3.7.  In
                          general, the enthalpy of  a chemical reaction is a function of temperature and ionic
                          strength. When  A,Go  and A,Ho are known,  the  standard reaction  entropy  A,So
                          can be calculated
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