Burdge/Overby, Chemistry: Atoms First, 2e Ch14 | Page 25

594 CHAPTE R 14? Entropy and Free Energy 14.6 ? Thermodynamics in Living Systems Many biochemical reactions have a positive ?G° value, yet they are essential to the maintenance of life. In living systems, these reactions are coupled to an energetically favorable process, one that has a negative ?G° value. The principle of coupled reactions is based on a simple concept: we can use a thermodynamically favorable reaction to drive an unfavorable one. Suppose, for example, that we want to extract zinc from a zinc sulfide (ZnS). The following reaction will not work because it has a large positive ?G° value: Zn(s) + S(s)?????G° = 198.3 kJ/mol ZnS(s) On the other hand, the combustion of sulfur to form sulfur dioxide is favored because of its large negative ?G° value: S(s) + O2(g) SO2(g)?????G° = –300.1 kJ/mol By coupling the two processes, we can bring about the separation of zinc from zinc sulfide. In practice, this means heating ZnS in air so that the tendency of S to form SO2 will promote the decomposition of ZnS: ZnS(s) Zn(s) + S(s) ?G° = 198.3 kJ/mol S(s) + O2(g) SO2(g) ?G° = –300.1 kJ/mol ZnS(s) + O2(g) Zn(s) + SO2(g) ?G° = –101.8 kJ/mol Coupled reactions play a crucial role in our survival. In biological systems, enzymes facilitate a wide variety of nonspontaneous reactions. In the human body, for example, food molecules, represented by glucose (C6H12O6), are converted to carbon dioxide and water during metabolism, resulting in a substantial release of free energy: C6H12O6(s) + 6O2(g) 6CO2(g) + 6H2O(l)?????G° = –2880 kJ/mol In a living cell, this reaction does not take place in a single step; rather, the glucose molecule is broken down with the aid of enzymes in a series of steps. Much of the free energy released along the way is used to synthesize adenosine triphosphate (ATP) from adenosine diphosphate (ADP) and phosphoric acid (Figure 14.6): ADP + H3PO4 ATP + H2O?????G° = 31 kJ/mol The function of ATP is to store free energy until it is needed by cells. Under appropriate conditions, ATP undergoes hydrolysis to give ADP and phosphoric acid, with a release of 31 kJ/mol of free energy, which can be used to drive energetically unfavorable reactions, such as protein synthesis. Proteins are polymers made of amino acids. The stepwise synthesis of a protein molecule involves the joining of individual amino acids. Consider the formation of the dipeptide (a unit composed of two amino acids) alanylglycine from alanine and glycine. This reaction represents the first step in the synthesis of a protein molecule: alanine + glycine alanylglycine?????G° = 29 kJ/mol Figure 14.6 Structures of ATP and ADP. N O ?O P ?O O O O P ?O O HC P C OCH2 ?O N H H HO Adenosine triphosphate (ATP) bur11184_ch14_570-603.indd 594 NH2 NH2 C C N N CH ?O O P ?O H H OH O O N O HC P OCH2 ?O C N H C C CH N O H H HO N H OH Adenosine diphosphate (ADP) 9/10/13 12:01 PM