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82     Chapter 4  Thermodynamics  of  Biochemical Reactions at Specified pH


                                       Table  4.4   Standard Transformed  Reaction  Gibbs  Energies (in  kJ  mol  ')  for  the
                                       Reactions of  Glycolysis at 298.15 K  and 0.25 M Ionic Strength

                                                                          pH5     pH6    pH7    pH8    pH9
                                        1.  Glucose + ATP
                                           =glucose 6-phosphate + ADP     - 17.41   - 19.47  - 24.42   - 30.1 1   - 35.82
                                        2.  Glucose 6-phosphate
                                           =fructose  6-phosphate           3.87   3.36   3.19    3.15   3.14
                                        3.  Fructose 6-phosphate + ATP
                                           =fructose  1,6-biphosphate + ADP   - 12.46  -16.95  -23.25   -29.12  -34.86
                                        4.  Fructose  1,6-biphosphate
                                           = dihydroxyacetone phosphate
                                           + glyceraldehyde phosphate      24.33   23.18   23.03   23.02   23.02
                                        5.  Dihydroxyacetone phosphate
                                           = gl yceraldehyde phosphatc      7.66   7.66    7.66   7.66   7.66
                                        6.  Glyceraldehyde phosphate
                                           + P, + NADox
                                           = 1,3-bisphosphoglycerate + NADre,   14.10   6.71   1.12   -4.22   -9.88
                                        7.  1,3-Bisphosphoglycerate + ADP
                                           = 3-phosphoglycerate + ATP      -8.31   -8.22   -8.22   -8.34   -8.37
                                        8.  3-phosphoglycerate
                                           = 2-phosphoglycerate             5.54   5.63    5.94   6.13   6.16
                                        9.  2-phosphoglycerate
                                           = phosphoenolpyruvate + H,O     -0.94   -1.76   -3.60   -4.35   -4.45
                                       10. Phosphoenolpyruvate + ADP
                                           = pyruvate + ATP               - 34.47   - 33.01  - 28.85   - 23.29   - 17.60
                                       Net reaction:
                                           Glucose + 2P, + 2ADP + 2NAD,,
                                           = 2pyruvate + 2ATP + 2NADre,
                                           + 2H,O                         -41.90  -63.4   -80.6   -93.4   -104.9

                                       Note: See Problem 4.8


                                           Table 4.6 gives the changes in binding of hydrogen ions in these reactions that
                                       are calculated using equation 4.7-4. These changes in the binding of hydrogen ions
                                       can be viewed as the causes of  the pH dependencies. If  ArNH is positive, products
                                       bind  more  hydrogen  ions  than  reactants;  therefore,  raising  the pH  reduces  the
                                       apparent equilibrium constant. If ArNH is negative, reactants bind more hydrogen
                                       ions than products;  therefore, raising the pH increases the apparent equilibrium
                                       constant.
                                           Gluconeogenesis  uses  seven  of  the  reactions  in  glycolysis,  but  three  are
                                        replaced  by  the  sum  of  the  pyruvate  carboxylase  and  phosphoenolpyruvate
                                       carboxykinase reactions, the fructose 1,6-biphosphatase reaction, and the glucose
                                        6-phosphatase reaction. Tables 4.7, 4.8, and 4.9  give  the thermodynamic proper-
                                        ties of  these reactions and the net  reaction for gluconeogenesis.
                                           There is a difference  between  the ways  the first two reactions are written  in
                                        Tables  4.7,  4.8,  and  4.9  and  in  biochemistry  textbooks.  Textbooks  give  the
                                        reactions in terms of  gaseous carbon dioxide, but here C0,tot  is used because in
                                        thinking  about  living  cells  it  is  of  more  interest  to  know  the  equilibrium
                                        concentration of  total  carbon  dioxide  in  the  solution  (see  Section  8.7).  When
                                        CO,(g)  is replaced  by C0,tot  in a biochemical  reaction, it is necessary to insert
                                        a H,O  on the other side of  the equation to balance oxygen  atoms. At pH 7 and
                                        ionic strength  0.25  M, A,Gio(CO,tot)  - A,Gio(H,O)  - AfG:'(CO,(g))   = 2.93 kJ
                                        mol-l,  and so the standard transformed  reaction Gibbs energies for reactions  1
                                        and 2 at pH  7 and 0.25  M  ionic strength would  be  -5.99  kJ  mol-l  and   ~  1.40
                                        kJ mol-'  if  they  were balanced  with  CO,(g).  Thus, if  CO,(g)  is on the left  side
                                        of  the  reaction,  replacing  it  with  C0,tot  (and  adding  H,O  to  the  other  side)
                                        makes A,GIo more negative by 2.92 kJ mol-'.  If  CO,(g)  is on the right  side, the
                                        change makes Arc:'  more positive by 2.92 kJ mol- '. The effect of changing from
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