MR. SURRETTE VAN NUYS HIGH SCHOOL CHAPTER 20: CHEMICAL THERMODYNAMICS CLASSNOTES THERMODYNAMICS Thermodynamics is the study of the energy that accompanies chemical or physical changes. Some chemical reactions release heat energy. These are called exothermic reactions. THERMODYNAMICS Other reactions absorb heat energy and are called endothermic reactions. HEAT OF REACTION The discovery that almost all chemical reactions either absorb or release heat led to the idea that all substances contain heat. HEAT OF REACTION Consequently, the heat of reaction is the difference in heat contents between the products and reactants. ENTHALPY Chemists use the term enthalpy for the heat content of a substance or the heat of a reaction. HEAT OF REACTION EQUATION This equation states that the change in enthalpy during a reaction equals the enthalpy of the products minus the enthalpy of the reactants. HEAT OF REACTION EQUATION H = HP - HR (H = heat of reaction HP = enthalpy of products HR = enthalpy of reactants) ENTHALPY Enthalpies can be either positive or negative. In general, substances that release heat when they are formed have a negative enthalpy. ENTHALPY Substances that require heat for their formation have a positive enthalpy. Example 1. Calculate the heat of reaction for the decomposition of ammonium nitrate: NH4NO3(s) N2O(g) + 2 H2O(g). 1|Page CHEMISTRY MR. SURRETTE VAN NUYS HIGH SCHOOL 1A. (1) Products = N2O(g) + 2 H2O(g) (2) From the Standard Enthalpies of Formation data table: HP = 19.5 kcal + 2 (- 57.8 kcal) (3) HP = - 96.1 kcal (4) Reactants = NH4NO3 (5) From the Standard Enthalpies of Formation data table: (6) H = HP – HR (7) H = - 96.1 kcal – (- 87.4 kcal) (8) H = - 8.7 kcal (9) This is an exothermic reaction. The overall enthalpy is – 8.7 kilocalories. This means the decomposition of one mole of ammonium nitrate releases 8.7 kilocalories of heat. Sign of H ENTHALPY AND HEAT FLOW Type of Reaction Negative Positive Exothermic Endothermic Heat Flow Released Absorbed Example 2. Reverse the previous reaction: N2O(g) + 2 H2O(g) NH4NO3(s) Determine the new heat of reaction. 2A. If you reverse the previous reaction, the sign of enthalpy is also reversed: + 8.7 kcal. This reaction is endothermic. Example 3. Calculate the quantity of heat released when 100 grams of calcium oxide react with liquid water to form Ca(OH)2(aq). 3A. (1) Since calcium is an alkaline metal, it has a +2 charge. Oxygen is assigned a – 2 oxidation number (O-2). (2) According to conservation of charge, Ca+2 and O-2 must form CaO (molecular formula for calcium oxide). (3) Identify the Reactants: CaO(s) and H2O(l) (4) Identify the Product: Ca(OH)2(aq). (5) Balance the equation: CaO(s) + H2O(l) Ca(OH)2(aq) (6) Product = Ca(OH)2(aq) (7) From Enthalpies data table: HP = - 235.8 kcal (8) Reactants = CaO(s) + H2O(l) (9) From Enthalpies data table: HR = -151.9 kcal + (- 68.3 kcal) (10) HR = - 220.2 kcal 2|Page CHEMISTRY MR. SURRETTE 3A. (11) (12) (13) VAN NUYS HIGH SCHOOL (continued...) H = HP – HR H = - 235.8 kcal – (- 220.2 kcal) H = - 15.6 kcal per mole (14) 100 g CaO ( 1 mol ) ---------------- = 1.78 mol CaO (56.08 g) (15) 1.78 mol CaO (- 15.6 kcal) ---------------(1 mol) (16) H = - 27.8 kcal. This reaction is exothermic. ENERGY AND ENTROPY Many powerful equations in thermodynamics are based on a few fundamental principles. These principles are called the laws of thermodynamics. ENERGY AND ENTROPY In this chapter, we will review the first two laws of thermodynamics. THERMODYNAMICS FIRST LAW The first law of thermodynamics asserts that energy is conserved during any process. THERMODYNAMICS SECOND LAW The second law of thermodynamics involves entropy, which is a statistical measure of the degree of disorder in a chemical system. ENTROPY Chemists have assigned numerical quantities for the entropy of each substance. These are called standard entropies. Standard entropies are symbolized by So (see Standard Entropies data table). ENTROPY OF REACTION EQUATION S = SP - SR (S = entropy of reaction SP = entropy of products SR = entropy of reactants) 3|Page CHEMISTRY MR. SURRETTE VAN NUYS HIGH SCHOOL Example 4. Calculate the entropy change for the following reaction: H2O(l) H2O(g). 4A. (1) S = SP - SR (2) S = 45.1 cal / deg - 16.7 cal / deg (3) S = 28.4 cal / deg. The positive S encourages this reaction to happen. GIBBS FREE ENERGY The American physicist Josiah Gibbs introduced a thermodynamic quantity combining enthalpy and entropy into a single value called free energy. GIBBS FREE ENERGY EQUATION G = GP - GR G = change in free energy GP = free energy of products GR = free energy of reactants) (G) Chemical systems change toward minimum free energy. The sign of G predicts the behavior of a proposed chemical reaction. Sign of G Negative Zero Positive SIGN OF GIBBS FREE ENERGY Reaction Behavior Proceeds spontaneously to the right Is at equilibrium Will not proceed Example 5. Calculate the free energy change for the reaction: CO2(g) + SO2(g) CO(g) + SO3(g). 5A. (1) GP = CO(g) + SO3(g) (2) GP = - 32.8 kcal + (– 88.5 kcal) (3) GP = - 121.3 kcal (4) GR = CO2(g) + SO2(g) (5) GR = - 94.3 kcal + (- 71.8 kcal) (6) GR = - 166.1 kcal (7) G = GP – GR (8) G = - 121.3 kcal – (– 166.1 kcal) (9) G = + 44.8 kcal. The positive G means the reaction will not proceed to the right. 4|Page CHEMISTRY MR. SURRETTE VAN NUYS HIGH SCHOOL GIBBS FREE ENERGY Sometimes free energy values for products and reactants are not available. Gibbs free energy can also be calculated using three thermodynamic quantities. GIBBS FREE ENERGY EQUATION G = H – TS G = change in free energy H = change in enthalpy TS = (temperature)(change in entropy)] GIBBS FREE ENERGY EQUATION Notes about Gibbs equation: (1) Temperature is measured in degrees Kelvin. (2) Both H and S are expressed in kilocalories. Example 6. Calculate the free energy change at 400oC for the reaction: 2 CO(g) + O2(g) 2 CO2(g). 6A. Use the following values from the Enthalpy and Entropy data tables: (1) CO: Hof = - 26.4 So = 47.3 (2) O2: Hof = 0.0 So = 49.0 (3) CO2: Hof = - 94.0 So = 51.1 (4) HP = 2 CO2(g) (5) HP = 2 (- 94.0 kcal) (6) HP = - 188 kcal (7) HR = 2 CO(g) + O2(g) (8) HR = 2 (- 26.4 kcal) + (0.0 kcal) (9) HR = - 52.8 kcal (10) H = HP – HR (11) H = - 188 kcal – (- 52.8 kcal) (12) H = - 135.2 kcal (13) SP = 2 CO2(g) (14) SP = 2 (51.1 cal / deg) (15) SP = 102.2 cal / deg (16) SR = 2 CO(g) + O2(g) (17) SR = 2 (47.3 cal / deg) + 49.0 cal / deg (18) SR = 143.6 cal / deg (19) S = SP – SR (20) S = 102.2 cal / deg – 143.6 cal / deg (21) S = - 41.4 cal/deg = - 0.0414 kcal/deg (22) T = TC + 273 (23) T = 400 + 273 5|Page CHEMISTRY MR. SURRETTE 6A. (24) (25) (26) (27) VAN NUYS HIGH SCHOOL (continued...) T = 673 K G = H – TS G = (- 135.2) – (673 K)(- 0.0414) G = - 107.3 kcal Quantity Enthalpy Entropy Free energy THREE THERMODYNAMIC QUANTITIES Symbol Measures H S G Heat Disorder Reactivity Units Energy Energy / deg Energy 6|Page CHEMISTRY