A.P. Chapter 18 Outline Thermodynamics: Directionality of Chemical Reactions I. II. Reactant-Favored and Product-Favored Reactions: these designations indicate the direction in which a chemical reaction will take place; either forward or reverse Chemical Reactions and the Dispersal of Energy Energy will spread out (disperse) unless it is hindered from doing so Most exothermic reactions are product favored at room temperature Dispersal of energy occurs because the probability is much higher that energy will be spread out over many particles than it will be concentrated in a few If energy can be dispersed over a larger number of particles, it will Energy becomes more dispersed when a system consisting of atoms or molecules expands to occupy a larger volume III. Measuring Dispersal of Energy: Entropy, S ΔS = Sfinal - Sinitial = qrev/T The standard molar entropy of a substance at temperature T is a measure of the quantity of energy that must be dispersed in that substance for it to exist at T, it is ΔS form 0K to T Entropies of gases are usually much larger than those of liquids, which are larger than those of solids Entropies of more complex molecules are larger than those of simpler molecules Entropies of ionic solids that have similar formulas are larger when the attraction among the ions are weaker Entropies decrease when a gas dissolves in a liquid IV. Calculating Entropy Changes ΔSº=Σ(moles product) x Sº(product) – Σ(moles reactant) x Sº(reactant) V. Entropy and the Second Law of Thermodynamics Whenever a product favored chemical reaction or physical process occurs, energy becomes more dispersed The second law of thermodynamics states that the total entropy of the universe (a system plus its surroundings) is continually increasing ΔSuniverse = ΔSsystem + ΔSsurroundings ΔSºsurroundings = -ΔH/T A reaction is certain to be product favored if it is exothermic and the entropy of products is greater than the reactants. Sign of ΔHsystem Sign of ΔSsystem Product-favored negative positive yes negative negative only at low T positive positive only at high T positive netative no VI. Gibbs Free Energy, G ΔGsystem = -TΔS If the entropy of the universe increases, the Gibbs free energy must decrease A decrease in Gibbs free energy is characteristic of a process that ais product-favored at constant temperature and pressure ΔG°system = ΔHºsystem - TΔSºsystem A negative value of ΔG°system indicates that the reaction is product favored Two conditions make ΔG°system more negative: if the reaction is exothermic and if the products have greater entropy than the reactants Because ΔG°system is multiplied by T, the entropy of the system is more important at higher temperatures ΔG° = Σ(moles of product) x ΔG°f (product) – Σ(moles of reactant) x ΔG°f (reactant) Most reactions are product favored at some temperatures and ractant favored at other temperatures T (at which ΔG° changes sign) = ΔH°/ΔSº VII. Gibbs Free Energy Changes and Equilibrium Constants ΔGº = -RT + ln Kº A simple correction can be made to ΔG° for nonstandard conditions ΔG = ΔG° + RT ln Q VIII. Gibbs Free Energy, Maximum Work, and Energy Resources ΔG represents the maximum useful work that can be done by a product favored system on its surroundings. It also represents the minimum work that must be done to force a reactant favored reaction to occur Coupling a product favored reaction with a reactant favored reaction can be done to cause the latter reaction to occur