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20        Basics



             Enthalpy and entropy                             this is the normal state of affairs—∆Sis pos-
                                                              itive for this process. An increase in the order
             The change in the free enthalpy of a chemical    in a system (∆S < 0) always requires an input
             reaction (i. e., its ∆G) depends on a number of  of energy. Both of these statements are
             factors—e. g., the concentrations of the reac-   consequences of an important natural law,
             tants and the temperature (see p.18). Two        the Second Law of Thermodynamics. The
             further factors associated with molecular        connection between changes in enthalpy
             changes occurring during the reaction are dis-   and entropy is described quantitatively by
             cussed here.                                     the Gibbs–Helmholtz equation (∆G= ∆H–
                                                              T  ∆S). The following examples will help
                                                              explain these relationships.
             A. Heat of reaction and calorimetry
                                                                 In the knall-gas  (oxyhydrogen) reaction
             All chemical reactions involve heat exchange.    (1), gaseous oxygen and gaseous hydrogen
             Reactions   that  release   heat  are   called   react to form liquid water. Like many redox
             exothermic, and those that consume heat          reactions, this reaction is strongly exothermic
             are called endothermic.Heatexchangeis            (i. e., ∆H < 0). However, during the reaction,
             measured as the enthalpy change ∆H(the           the degree of order increases. The total num-
             heat of reaction). This corresponds to the       ber of molecules is reduced by one-third, and
             heat exchange at constant pressure. In exo-      a more highly ordered liquid is formed from
             thermic reactions, the system loses heat, and    freely moving gas molecules. As a result of the
             ∆H is negative. When the reaction is endo-       increase in the degree of order (∆S< 0), the
             thermic, the system gains heat, and ∆Hbe-        term –T   ∆S becomes positive. However, this
             comes positive.                                  is more than compensated for by the decrease
                In many reactions, ∆Hand ∆Gare similarin      in enthalpy, and the reaction is still strongly
             magnitude (see B1, for example). This fact is    exergonic (∆G<0).
             used to estimate the caloric content of foods.      The dissolutionofsaltinwater (2)is endo-
             In living organisms, nutrients are usually oxi-  thermic (∆H > 0)—i. e., the liquid cools. Never-
             dized by oxygen to CO 2 and H 2 O(see p.112).    theless, the process still occurs spontane-
             The maximum amount of chemical work sup-         ously, since the degree of order in the
                                                                                                 –
                                                                                        +
             plied by a particular foodstuff (i. e., the ∆Gfor  system decreases.The Na and Cl ions are
             the oxidation of the utilizable constituents)    initially rigidly fixed in a crystal lattice. In
             can be estimated by burning a weighed            solution, they move about independently
             amount in a calorimeter in an oxygen atmo-       and in random directions through the fluid.
             sphere. The heat of the reaction increases the   The decrease in order (∆S> 0) leads to a
             water temperature in the calorimeter. The        negative –T   ∆Sterm, which compensates
             reaction heat canthenbe calculated from          for the positive ∆Hterm and results ina
             the temperature difference ∆T.                   negative ∆G term overall. Processes of this
                                                              type are described as being entropy-driven.
                                                              The folding of proteins (see p. 74) and the
             B. Enthalpy and entropy
                                                              formation of ordered lipid structures in water
             The reaction enthalpy ∆H and the change in       (see p. 28) are also mainly entropy-driven.
             free enthalpy ∆Gare not always of the same
             magnitude. There are even reactions that oc-
             cur spontaneously (∆G < 0) even though they
             are endothermic (∆H > 0). The reason for this
             is that changes in the degree of order of the
             system also strongly affect the progress of a
             reaction. This change is measured as the en-
             tropy change ('S).
                Entropy is a physical value that describes
             the degree of order of a system.The lower the
             degree of order, the larger the entropy. Thus,
             when a process leads to increase in disor-
             der—and everyday experience shows that


           Koolman, Color Atlas of Biochemistry, 2nd edition © 2005 Thieme
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