Unit 13: Thermochemistry Chapter 17 By: Jennie Borders Section 17.1 – The Flow of Energy Energy is the capacity to do work or supply heat. Energy has no mass or volume. Chemical potential energy is energy stored in chemicals. The kinds of atoms and the arrangement of the atoms in a substance determine the amount of energy stored in the substance. Heat Heat is a form of energy that always flows from a warmer object to a cooler object. Heat is represented by q. Thermochemistry Thermochemistry is the study of the heat changes that occur during chemical reactions and physical changes of state. The law of conservation of energy states that in any chemical or physical process, energy is neither created nor destroyed. The Great Debate 1. Exothermic reactions lose heat. 2. Endothermic reactions absorb heat. Exothermic and Endothermic Thermochemistry is concerned with the flow of heat between a chemical system (reaction) and its surroundings. A system is the specific part of the universe on which you focus your attention. The surroundings include everything outside the system. The system and the surroundings constitute the universe. Exothermic and Endothermic In thermochemical calculations the direction of the heat flow is given from the point of view of the system. A process that absorbs heat from the surroundings is called an endothermic process. A process that loses heat to the surroundings is called an exothermic process. Exothermic and Endothermic Units of Heat A calorie is the quantity of heat that raises the temperature of 1 gram of pure water 1oC. A Calorie, or dietary Calorie, is equal to 1000 calories. A Joule is the SI unit of heat and energy. 1 Calorie = 1000 cal = 1 kcal = 4184 J 1 cal = 4.184 J Practice Problems Make the following conversions. 1. 444 calories to Joules 444 cal x 4.184 J = 1857.7 J 1 cal 2. 850 Joules to calories 850 J x 1 cal = 203.2 cal 4.184 J Heat Capacity The heat capacity of an object is the amount of heat it takes to change an object’s temperature by exactly 1oC. The greater the mass of an object, the greater the heat capacity. The heat capacity of an object also depends on its chemical composition. Specific Heat The specific heat capacity of a substance is the amount of heat it takes to raise the temperature of 1 gram of the substance 1oC. Specific heat is represented by C. The units of specific heat are J/goC. Water has a higher specific heat than most substances. Heat Heat = mass x specific heat x change in temp q = m.C.DT Mass is in grams Specific heat is in J/goC Change in temp is in oC Sample Problem The temperature of a 95.4g piece of copper increases form 25oC to 48oC when the copper absorbs 849J of heat. What is the specific heat of copper? q = m.c.DT c= q m.DT DT = 48oC – 25oC = 23oC c= 849J = 0.39 J/goC 95.4g.23oC Practice Problems 1. When 435J of heat is added to 3.4g of olive oil at 21oC, the temperature increases to 85oC. What is the specific heat of the olive oil? q = m.c.DT c= c= q m.DT DT = 85oC – 21oC = 64oC 435J = 1.99 J/goC 3.4g.64oC Practice Problems 2. How much heat is required to raise the temperature of 250g of mercury 52oC? (specific heat of mercury = 0.14 J/goC) q = m.c.DT q = 250g (0.14J/goC) (52oC) = 1820J Section 17.1 Review 1. 2. 3. 4. In what direction does heat flow between two objects? How do endothermic processes differ from exothermic processes? On what factors does the heat capacity of an object depend? How many kilojoules of heat are absorbed when 1000g of water is heated from 18oC to 85oC? (specific heat of water = 4.184 J/goC) q = 1000g (4.184J/goC) (67oC) = 280328J 280328J x 1kJ = 280.328kJ 1000 J Section 17.1 Review 5. Using calories, calculate how much heat 32.0g of water absorbs when it is heated from 25oC to 80oC. How many joules is this? (specific heat of water = 4.184 J/goC) q = 32g (4.184 J/goC) (55oC) = 7363.8J 7363.8J x 1 cal = 1759.9 cal 4.184 J Section 17.2 – Measuring and Expressing Enthalpy Changes Calorimetry is the accurate and precise measurement of heat change for chemical and physical processes. Calorimeters are devices used to measure the amount of heat absorbed or released during chemical and physical processes. Enthalpy is the heat content of a system at constant pressure. Enthalpy is represented by H. Calorimeter q = DH = m . C . DT Heat Change Sign Convention Direction of Heat Flow Sign Reaction Type Heat Flows Out of the System -DH Exothermic Heat Flows Into the System +DH Endothermic Thermochemical Equations An equation that included the heat change is a thermochemical equation. A heat of reaction is the heat change for the equation exactly as written. Ex: CaO(s) + H2O(l) Ca(OH)2(s) DH = -65.2 KJ 2NaHCO3(s) Na2CO3(s) +H2O(g) +CO2(g) DH = +129 KJ Sample Problem Calculate the amount of heat (in kJ) required to decompose 2.24 moles of NaHCO3. 2NaHCO3 Na2CO3 + H2O + CO2 DH = 129kJ 2.24 mol NaHCO3 x 129kJ = 144.48kJ 2 mol NaHCO3 Practice Problems 1. Calculate the amount of heat (in kJ) absorbed when 5.66g of carbon disulfide is formed. C + 2S CS2 DH = 89.3kJ 5.66g CS2 x 1 mol CS2 x 89.3kJ = 6.65kJ 76g CS2 1 mol CS2 Practice Problems 2. How many kilojoules of heat are produced when 3.40 mole Fe2O3 reacts with an excess of CO? Fe2O3 + 3CO 2Fe + 3CO2 DH = -26.33 kJ 3.40 mol Fe2O3 x -26.3kJ = -89.42kJ 1 mol Fe2O3 Section 17.2 Review 1. When 2 mol of solid magnesium combines with 1 mol of oxygen gas, 2 mol of solid magnesium oxide is formed and 1204kJ of heat is release. Write the thermochemical equation for this combustion reaction. 2Mg(s) + O2(g) 2MgO DH = -1204kJ Section 17.2 Review 2. How much heat is released when 12.5g of ethanol burns? C2H5OH + 3O2 2CO2 + 3H2O DH = -1368kJ 12.5g x 1mol x -1368kJ = -371.74kJ 46g 1 mol Section 17.3 – Heat in Changes of State The heat of combustion is the heat of reaction for the complete burning of one mole of a substance. DH (fusion and solidification) The heat absorbed by one mole of a substance melting from a solid to a liquid at constant temperature is the molar heat of fusion. The heat lost when one mole of a liquid changes to a solid at a constant temperature is the molar heat of solidification. DHfus = - DHsolid DH (vaporization and condensation) The heat absorbed by one mole of a substance changing from a liquid to a vapor is the molar heat of vaporization. The heat released by one mole of a substance changing from a vapor to a liquid is the molar heat of condensation. DHvap = - DHcond Practice Problems 1. What is the DHvap of acetone? 29 kJ/mol 2. What is the DHcond of water? -41 kJ/mol 3. What is the DHfus of rubbing alcohol? 6 kJ/mol 4. What is the DHsolid of diethyl ether? -7 kJ/mol DH (solution) The heat change caused by dissolution of one mole of a substance is the molar heat of solution. Ex. NaOH(s) Na+(aq) + OH-(aq) DHsoln = -445.1 KJ Heating Curve for Water Sample Problem How much heat (in kJ) is absorbed when 24.8g H2O(l) at 100oC and 101.3kPa is converted to steam at 100oC. 24.8g H2O x 1 mol H2O x 40.7kJ = 56.08kJ 18g H2O 1 mol Practice Problems 1. How much heat is absorbed when 63.7g H2O(l) at 100oC and 101.3kPa is converted to steam at 100oC? 63.7g H2O x 1 mol H2O x 40.7kJ = 144.03kJ 18g H2O 1 mol H2O Practice Problems 2. How many kilojoules of heat are absorbed when 0.46g of chloroethane (C2H5Cl) vaporizes at its boiling point? (The molar heat of vaporization for chloroethane is 26.4 kJ/mol.) 0.46g C2H5Cl x 1 mol C2H5Cl x 26.4kJ = 0.19kJ 64g C2H5Cl 1 mol Practice Problems 3. How much heat (in kJ) is released when 2.5 mol of NaOH is dissolved in water? (The molar heat of solution is -445.1 kJ/mol.) 2.5 mol NaOH x -445.1kJ = -1112.75kJ 1 mol Practice Problems 4. How many moles of NH4NO3 must be dissolved in water so that 88kJ of heat is absorbed from the water? (The molar heat of solution 25.7 kJ/mol.) 88kJ x 1 mol = 3.42mol NH4NO3 25.7kJ Heating Curve Problems Sometimes a question might ask you about a physical change that involves a temperature change and a phase change. You will have to do these problems in multiple steps. You have to work your way through the heating curve. Heating Curve Sample Problem Calculate the amount of heat required to change 50g of water at 75oC to steam. q = m.c.DT q = 50g (4.184 J/goC) (25oC) = 5230J 50g H2O x 1 mol H2O x 40.7kJ = 113.06kJ 18g H2O 1 mol 113.06kJ = 113060J 113060J + 5230J 118290J Practice Problems 1. Calculate the amount of heat needed to change 175g of ice at -20oC to water at 15oC. q = 175g (2.1 J/goC) (20oC) = 7350J 175g H2O x 1 mol H2O x 6.01kJ = 58.43kJ 18g H2O 1 mol q = 175g (4.184 J/goC) (15oC) = 10983J 58.43kJ = 58430J 10983J 58430J +7350J 76763J Practice Problems 2. Calculate the amount of heat released when 100g of steam at 130oC is cooled to water at 60oC. q = 100g (1.7 J/goC) (-30oC) = -5100J 100g H2O x 1 mol H2O x -40.7kJ = -226.11kJ 18g H2O 1 mol q = 100g (4.184 J/goC) (-40oC) = -16736J -226.11kJ = -226110J -226110J -16736J -5100J -247946J Section 17.3 Review 1. 2. How does the molar heat of fusion of a substance compare to its molar heat of solidification? How does the molar heat of vaporization of a substance compare to its molar heat of condensation? Section 17.3 Review 3. Identify each enthalpy change by name and classify each change as exothermic or endothermic. a. 1 mol C3H8(l) 1 mol C3H8(g) Endothermic Exothermic b. 1 mol Hg(l) 1 mol Hg(s) Exothermic c. 1 mol NH3(g) 1 mol NH3(l) d. 1 mol NaCl(s) + 3.88kJ/mol 1 mol NaCl(aq) Endothermic e. 1 mol NaCl(s) 1 mol NaCl(l) Endothermic Section 17.4 – Calculating Heats of Reaction Hess’ Law of heat summation states that if you add two or more thermochemical equations to give a final equation, then you can also add the heat changes to give the final heat change. Sample Problem Calculate the enthalpy change for the following reaction given the following information: PbCl2 + Cl2 PbCl4 DH = ? Pb + 2Cl2 PbCl4 Pb + Cl2 PbCl2 DH = -329.2kJ DH = -359.4kJ 1st reaction: keep the same 2nd reaction: flip the reaction (change sign) DH = -329.2kJ +DH = 359.4kJ DH = 30.2kJ Practice Problems 1. Find the enthalpy change for the reaction using the following information. 2P + 5Cl2 2PCl5 DH = ? PCl5 PCl3 + Cl2 2P + 3Cl2 2PCl3 DH = 87.9kJ DH = -574kJ 1st reaction: flip reaction (change sign) and x2 2nd reaction: keep the same DH = -175.8kJ +DH = -574kJ DH = -749.8kJ Practice Problems 2. Calculate the enthalpy change for the reaction using the following information: N2 + O2 2NO DH = ? 4NH3 + 3O2 2N2 + 6H2O 4NH3 + 5O2 4NO + 6H2O 1st reaction: flip reaction (change sign) /2 2nd reaction: /2 DH = -1530kJ DH = -1170kJ DH = 765kJ +DH = -585kJ DH = 180kJ Practice Problems 3. Calculate the enthalpy change for the reaction using the following information. C2H4 + H2 C2H6 DH = ? 2H2 + O2 2H2O C2H4 + 3O2 2H2O + 2CO2 2C2H6 + 7O2 6H2O + 4CO2 DH = -572kJ DH = -1401kJ DH = -3100kJ 1st reaction: /2 DH = -286kJ 2nd reaction: keep the same DH = -1401kJ 3rd reaction: flip reaction (change sign) /2 +DH = 1550kJ DH = -137kJ Standard Heat of Formation The standard heat of formation of a compound is the change in enthalpy that accompanies the formation of one mole of the compound from its element with all substances in their standard states at 25oC. The DHfo of a free element in its standard state is zero. DHo = DHfo (products) – DHfo (reactants) Sample Problem Calculate the standard heat of formation for the following reaction. 2CO(g) + O2(g) 2CO2(g) CO2(g) = 2mol x -110.5 kJ/mol = -221kJ O2(g) = 1 mol x 0 kJ/mol = 0kJ CO2(g) = 2 mol x -393.5 kJ/mol = -787kJ DHo = DHfo (products) – DHfo (reactants) DHo = (-787kJ) – (-221kJ + 0kJ) = -566kJ Practice Problems 1. Calculate the standard heat of formation for the following reaction. CaCO3(s) CaO(s) + CO2(g) CaCO3(s) = 1 mol x -1207 kJ/mol = -1207kJ CaO(s) = 1 mol x -635.1 kJ/mol = -635.1kJ CO2(g) = 1 mol x -393.5 kJ/mol = -393.5kJ DHo = DHfo (products) – DHfo (reactants) DHo = (-635.1kJ + -393.5kJ) – (-1207kJ) = 178.4kJ Practice Problems 2. Calculate the standard heat of formation for the following reaction. 2NO(g) + O2(g) 2NO2(g) NO(g) = 2 mol x 90.37 kJ/mol = 180.74kJ O2(g) = 1 mol x 0 kJ/mol = 0kJ NO2(g) = 2 mol x 33.85 kJ/mol = 67.7kJ DHo = DHfo (products) – DHfo (reactants) DHo = (67.7kJ) – (180.74kJ + 0kJ) = -113.04kJ Section 17.4 Review 1. Calculate the enthalpy change in kJ for the following reaction. 2Al + Fe2O3 2Fe + Al2O3 Use the enthalpy changes for the combustion of aluminum and iron: 2Al + 3/2O2 Al2O3 DH = -1669.8kJ 2Fe + 3/2O2 Fe2O3 DH = -824.2kJ 1st reaction: keep the same DH = -1669.8kJ 2nd reaction: flip reaction (change sign) +DH = 824.2kJ DH = -845.6kJ Section 17.4 Review 2. What is the standard heat of reaction for the decomposition of hydrogen peroxide? 2H2O2(l) 2H2O(l) + O2(g) H2O2(l) = 2 mol x -187.8kJ/mol = -375.6kJ H2O(l) = 2 mol x -285.8kJ/mol = -571.6kJ O2(g) = 1 mol x 0kJ/mol = 0kJ DHo = DHfo (products) – DHfo (reactants) DHo = (-571.6kJ + 0kJ) – (-375.6kJ) = -196kJ THE END