John E. McMurry • Robert C. Fay C H E M I S T R Y Fifth Edition Chapter 8 Thermochemistry: Chemical Energy Lecture Notes Alan D. Earhart Southeast Community College • Lincoln, NE Copyright © 2008 Pearson Prentice Hall, Inc. 8.1 Energy Energy: The capacity to supply heat or do work. Kinetic Energy (EK): The energy of motion. Potential Energy (EP): Stored energy. Units: 1 cal = 4.184 J (exactly) 1 Cal = 1000 cal = 1 kcal Copyright © 2008 Pearson Prentice Hall, Inc. Chapter 8/2 8.2 Energy Changes and Energy Conservation Law of Conservation of Energy: Energy cannot be created or destroyed; it can only be converted from one form to another. Copyright © 2008 Pearson Prentice Hall, Inc. Chapter 8/3 Energy Changes and Energy Conservation Total Energy = EK + EP Copyright © 2008 Pearson Prentice Hall, Inc. Chapter 8/4 Energy Changes and Energy Conservation Thermal Energy: The kinetic energy of molecular motion and is measured by finding the temperature of an object. Heat: The amount of thermal energy transferred from one object to another as the result of a temperature difference between the two. Copyright © 2008 Pearson Prentice Hall, Inc. Chapter 8/5 8.3 Internal Energy and State Functions First Law of Thermodynamics: The total internal energy of an isolated system is constant. DE = Efinal - Einitial Copyright © 2008 Pearson Prentice Hall, Inc. Chapter 8/6 Internal Energy and State Functions CH4(g) + 2O2(g) CO2(g) + 2H2O(g) + 802 kJ energy DE = Efinal - Einitial = -802 kJ 802 kJ is released when 1 mole of methane, CH4, reacts with 2 moles of oxygen to produce 1 mole of carbon dioxide and two moles of water. Copyright © 2008 Pearson Prentice Hall, Inc. Chapter 8/7 Internal Energy and State Functions State Function: A function or property whose value depends only on the present state, or condition, of the system, not on the path used to arrive at that state. Copyright © 2008 Pearson Prentice Hall, Inc. Chapter 8/8 8.4 Expansion Work Work = Force x Distance w=Fxd Copyright © 2008 Pearson Prentice Hall, Inc. Chapter 8/9 Expansion Work Expansion Work: Work done as the result of a volume change in the system. Also called pressure-volume or PV work. Copyright © 2008 Pearson Prentice Hall, Inc. Chapter 8/10 8.5 Energy and Enthalpy DE = q + w q = heat transferred w = work = -PDV q = D E + PD V Constant Volume (DV = 0): Constant Pressure: qV = DE qP = DE + PDV Copyright © 2008 Pearson Prentice Hall, Inc. Chapter 8/11 Energy and Enthalpy qP = DE + PDV = DH Enthalpy change or Heat of reaction (at constant pressure) Enthalpy is a state function whose value depends only on the current state of the system, not on the path taken to arrive at that state. Copyright © 2008 Pearson Prentice Hall, Inc. DH = Hfinal - Hinitial = Hproducts - Hreactants Chapter 8/12 8.6The Thermodynamic Standard State C3H8(g) + 5O2(g) 3CO2(g) + 4H2O(g) DH= -2043 kJ C3H8(g) + 5O2(g) 3CO2(g) + 4H2O(l) DH = -2219 kJ Thermodynamic Standard State: Most stable form of a substance at 1 atm pressure and at a specified temperature, usually 25 °C; 1 M concentration for all substances in solution. Standard enthalpy of reaction is indicated by the symbol ΔHo C3H8(g) + 5O2(g) 3CO2(g) + 4H2O(g) Copyright © 2008 Pearson Prentice Hall, Inc. DH° = -2043 kJ Chapter 8/13 8.7 Enthalpies of Physical and Chemical Change Enthalpy of Fusion (DHfusion): The amount of heat necessary to melt a substance without changing its temperature. Enthalpy of Vaporization (DHvap): The amount of heat required to vaporize a substance without changing its temperature. Enthalpy of Sublimation (DHsubl): The amount of heat required to convert a substance from a solid to a gas without going through a liquid phase. Copyright © 2008 Pearson Prentice Hall, Inc. Chapter 8/14 Enthalpies of Physical and Chemical Change Copyright © 2008 Pearson Prentice Hall, Inc. Chapter 8/15 Enthalpies of Physical and Chemical Change 2Al(s) + Fe2O3(s) 2Fe(s) + Al2O3(s) DH° = -852 kJ exothermic 2Fe(s) + Al2O3(s) 2Al(s) + Fe2O3(s) DH° = +852 kJ endothermic Copyright © 2008 Pearson Prentice Hall, Inc. Chapter 8/16 Examples Identify each of the following processes as endothermic or exothermic and indicate the sign of ΔHo Sweat evaporating from your skin Water freezing in a freezer Wood burning in fire Example An LP gas tank in a home barbeque contains 13.2 kg of propane, C3H8. Calculate the heat (in kJ) associated with the complete combustion of all of the propane in the tank C3H8(g) + 5O2(g) 3 CO2(g) + 4 H2O(g) ΔHo = -2044kJ Example How much heat (in kJ) is evolved when 5.00g of aluminum reacts with a stoichiometric amount of Fe2O3? 2 Al(s) + Fe2O3(s) 2 Fe(s) + Al2O3(s) ΔHo = -852 kJ 8.8Calorimetry and Heat Capacity A temperature change is observed when a system gains or loses energy in the form of heat (ΔH) Amount of heat gained = amount of heat lost qcal = -qrxn qgain = -qlost Copyright © 2008 Pearson Prentice Hall, Inc. Chapter 8/20 Calorimetry and Heat Capacity Measure the heat flow at constant volume (DE). Copyright © 2008 Pearson Prentice Hall, Inc. Chapter 8/21 Calorimetry and Heat Capacity Heat Capacity (C): The amount of heat required to raise the temperature of an object or substance a given amount. q = C m x DT Molar Heat Capacity (Cm): The amount of heat required to raise the temperature of 1 mol of a substance by 1 °C. q = (Cm) x (moles of substance) x DT Specific Heat: The amount of heat required to raise the temperature of 1 g of a substance by 1 °C. q = (specific heat) x (mass of substance) x DT Copyright © 2008 Pearson Prentice Hall, Inc. Chapter 8/22 Calorimetry and Heat Capacity Copyright © 2008 Pearson Prentice Hall, Inc. Chapter 8/23 Examples Assuming that Coca Cola has the same specific heat as water [4.183 J/goC], calculate the amount of heat (in kJ) transferred when one can (about 350.0 g) is cooled from 25.0oC – 3.0oC Example When 25.0 mL of 1.0 M H2SO4 is added to 50.0ml of 1.0 M NaOH at 25.0oC in a calorimeter, the temperature of the aqueous solution increases to 33.9oC. Assuming that the specific heat of the solution is 4.18 J/g oC, that its density is 1.00g/mL, and the calorimeter itself absorbs a negligible amount of heat, calculate ΔH (in kJ/mol) for the reaction H2SO4(aq) + 2 NaOH(aq) 2 H2O(l) + Na2SO4(aq) 8.9 Hess’s Law Hess’s Law: The overall enthalpy change for a reaction is equal to the sum of the enthalpy changes for the individual steps in the reaction. Haber Process: 3H2(g) + N2(g) 2NH3(g) DH° = -92.2 kJ Multiple-Step Process - Given 2H2(g) + N2(g) N2H4(g) N2H4(g) + H2(g) 2NH3(g) 3H2(g) + N2(g) 2NH3(g) Copyright © 2008 Pearson Prentice Hall, Inc. DH°1 = ? DH°2 = -187.6 kJ DH°1+2 = -92.2 kJ Chapter 8/26 Hess’s Law Copyright © 2008 Pearson Prentice Hall, Inc. Chapter 8/27 Example Find ΔHorxn for the following reaction: 3H2(g) + O3(g) 3 H2O(g) ΔHorxn = ?? Use the following reactions with known ΔH’s 2H2 (g) + O2(g) 2 H2O(g) Δ Ho = -483.6 kJ 3O2(g) 2 O3 (g) Δ Ho = +285.4 kJ Typo from original note Example Fin ΔHorxn for the following reaction C(s) + H2O(g) CO(g) + H2(g) Horxn = ? Use the following reactions with known H’s C(s) + O2(g) CO2(g) ΔHo = -393.5 kJ 2CO(g) + O2(g) 2CO2(g) Δ Ho = -566.0kJ 2H2 (g) + O2(g) 2H2O (g) Δ Ho = -483.6 kJ 8.10 Standard Heats of Formation Standard Heat of Formation (DH°f ): The enthalpy change for the formation of 1 mol of a substance in its standard state from its constituent elements in their standard states. Standard states C(s) + 2H2(g) CH4(g) DH°f = -74.8 kJ 1 mol of 1 substance Copyright © 2008 Pearson Prentice Hall, Inc. Chapter 8/30 Standard Heats of Formation Copyright © 2008 Pearson Prentice Hall, Inc. Chapter 8/31 Standard Heats of Formation DH° = DH°f (Products) - DH°f (Reactants) aA + bB cC + dD DH° = [c DH°f (C) + d DH°f (D)] - [a DH°f (A) + b DH°f (B)] Products Reactants Copyright © 2008 Pearson Prentice Hall, Inc. Chapter 8/32 Standard Heats of Formation Using standard heats of formation, calculate the standard enthalpy of reaction for the photosynthesis of glucose (C6H12O6) and O2 from CO2 and liquid H2O. 6CO2(g) + 6H2O(l) C6H12O6(s) + 6O2(g) Copyright © 2008 Pearson Prentice Hall, Inc. DH° = ? Chapter 8/33 Example Use the information in Table 8.2 to calculate ΔHo (in kJ) for the reaction of ammonia with oxygen gas to yield nitric oxide (NO) and water vapor, a step in the Ostwald process for the commercial production of nitric acid 8.11 Bond Dissociation Energies Bond dissociation energies are standard enthalpy changes for the corresponding bond-breaking reactions. Copyright © 2008 Pearson Prentice Hall, Inc. Chapter 8/35 Bond Dissociation Energies H2(g) + Cl2(g) 2HCl(g) DH° = D(Reactant bonds) - D(Product bonds) DH° = (DH-H + DCl-Cl) - (2DH-Cl) Copyright © 2008 Pearson Prentice Hall, Inc. Chapter 8/36 8.12 Fossil Fuels, Fuel Efficiency, and Heats of Combustion CH4(g) + 2O2(g) CO2(g) + 2H2O(l) Copyright © 2008 Pearson Prentice Hall, Inc. Chapter 8/37 Fossil Fuels, Fuel Efficiency, and Heats of Combustion H2(g) + ½ O2(g) H2O(l) CH4(g) + 2O2(g) ΔHoc = -285 kJ/mol CO2(g) + 2H2O(l) Copyright © 2008 Pearson Prentice Hall, Inc. ΔHoc = -890.3 kJ/mol Chapter 8/38 8.13 An Introduction to Entropy Spontaneous Process: A process that, once started, proceeds on its own without a continuous external influence. Entropy (S): The amount of molecular randomness in a system. Spontaneous processes are • • favored by a decrease in H (negative DH). favored by an increase in S (positive DS). Nonspontaneous processes are • • favored by an increase in H (positive DH). favored by a decrease in S (negative DS). Copyright © 2008 Pearson Prentice Hall, Inc. Chapter 8/39 An Introduction to Entropy Example Predict whether ΔSo is likely to be positive or negative for each of the following reactions H2C=CH2(g) + Br2(g) BrCH2CH2Br(l) 8.14 An Introduction to Free Energy Gibbs Free Energy Change (DG) DG = DH - T DS Enthalpy of reaction Temperature (Kelvin) Copyright © 2008 Pearson Prentice Hall, Inc. Entropy change Chapter 8/42 An Introduction to Free Energy Gibbs Free Energy Change (DG) DG = DH - T DS DG < 0 Process is spontaneous DG = 0 Process is at equilibrium (neither spontaneous nor nonspontaneous) DG > 0 Process is nonspontaneous Copyright © 2008 Pearson Prentice Hall, Inc. Chapter 8/43 Example Is the Haber process for the industrial synthesis of ammonia spontaneous or nonspontaneous under standard conditions at 25.0oC. At what temperature (oC) does the changeover occur?