THERMOCHEMISTRY OR THERMODYNAMICS Chapter 6 Energy and Chemistry ENERGY is the capacity to do work or transfer heat. HEAT is the form of energy that flows between 2 samples because of their difference in temperature. Other forms of energy — light kinetic electrical potential nuclear Temperature v. Heat Temperature reflects random motions of particles, therefore related to kinetic energy of the system. Heat involves a transfer of energy between 2 objects due to a temperature difference Law of Conservation of Energy Energy can be converted from one form to another but can neither be created nor destroyed. (Euniverse is constant) Kinetic and Potential Energy Potential energy — energy a motionless body has by virtue of its position. Kinetic and Potential Energy Kinetic energy — energy of motion. Units of Energy 1 calorie = heat required to raise temp. of 1.00 g of H2O by 1.0 oC. 1000 cal = 1 kilocalorie = 1 kcal 1 kcal = 1 Calorie (a food “calorie”) But we use the unit called the JOULE 1 cal = 4.184 joules James Joule 1818-1889 Extensive & Intensive Properties Extensive properties depends directly on the amount of substance present. •mass •volume •heat •heat capacity (C) Intensive properties is not related to the amount of substance. •temperature •concentration •pressure •specific heat (s) System and Surroundings System: That on which we focus attention Surroundings: Everything else in the universe Universe = System + Surroundings Exo and Endothermic Heat exchange accompanies chemical reactions. Exothermic: Heat flows out of the system (to the surroundings). Endothermic: Heat flows into the system (from the surroundings). Endo- and Exothermic Surroundings System heat Surroundings System heat E(system) goes up E(system) goes down ENDOTHERMIC EXOTHERMIC Enthalpy DH = Hfinal - Hinitial If Hfinal > Hinitial then DH is positive Process is ENDOTHERMIC If Hfinal < Hinitial then DH is negative Process is EXOTHERMIC Upon adding potassium hydroxide to water the following reaction takes place NaOH(S) NaOH(aq) for this reaction at constant pressure, ∆H= -43 kj/mol 1 .Is the reaction exo- or endothermic 2. Does the water get warmer? 3. What is the enthalpy change for the solution if 14 g of NaOH is Exercise Consider the combustion of propane: C3H8(g) + 5O2(g) → 3CO2(g) + 4H2O(l) ΔH = –2221 kJ Assume that all of the heat comes from the combustion of propane. Calculate ΔH in which 5.00 g of propane is burned in excess oxygen at constant pressure. –252 kJ Consider the reaction H2(g) + O2(g) H2O(l) DH° = –286 kJ Which of the following is true? a) The reaction is exothermic. b) The reaction is endothermic. c) The enthalpy of the products is less than that of the reactants. d) Heat is absorbed by the system. e) Both A and C are true. AC Consider the reaction: C2 H5OH(l ) + 3O2 (g ) 2CO2 (g ) + 3H 2O(l ), DH 1.37 × 103 kJ When a 24.8-g sample of ethyl alcohol (molar mass = 46.07 g/mol) is burned, how much energy is released as heat? c The total volume of hydrogen gas needed to fill the Hindenburg was 2.01x108 L at 1.00 atm and 24.7°C. How much energy was evolved when it burned? 2H2(g) + O2(g) 2H2O(l) DH° = –286 kJ 2.35 ´ 109 kJ 7.37 ´ 102 kJ 06_74 Thermometer Styrofoam cover Styrofoam cups q = msDt q m s Dt Stirrer = heat (J) Simple Calorimeter = mass (g) = specific heat (j/gCo) = “change” in temperature (Co) Some Heat Exchange Terms specific heat capacity (s) heat capacity per gram = J/°C g or J/K g molar heat capacity (s) heat capacity per mole = J/°C mol or J/K mol Heat Capacity heat absorbed J J C = = or increase in temperature C K Specific Heat Capacity Substance H2O Al glass Spec. Heat (J/g•K) 4.184 0.902 0.84 Aluminum Specific Heat Capacity If 25.0 g of Al cool from 310 oC to 37 oC, how many joules of heat energy are lost by the Al? Spec of Al=0.902 where DT = Tfinal - Tinitial heat gain/lost = q = m s DT Specific Heat Capacity If 25.0 g of Al cool from 310 oC to 37 oC, how many joules of heat energy are lost by the Al? heat gain/lost = q = m s DT where DT = Tfinal - Tinitial q = (0.902 J/g•K)(25.0 g)(37 - 310) q = - 6160 J Specific Heat Capacity If 25.0 g of Al cool from 310 oC to 37 oC, how many joules of heat energy are lost by the Al? q = - 6160 J Notice that the negative sign on q signals heat “lost by” or transferred out of Al.bv 233hhbn Copper has a specific hear of .382j/goC. If 2.51 g of cooper absorbs 2.75 j of heat , what is the change in temp ? Cooper has a specific heat of .382j/g/ oC. the temperature of an unknown mass of cooper increases by 4.50 oC when it absorbs 3.97J of heat. What is the mass of the copper? Heating curves REMEMBER!!! In regular calorimetry pressure is constant, but the volume will change. In bomb calorimetry, volume is constant. Calorimetry Constant volume calorimeter is called a bomb calorimeter. Material is put in a container with pure oxygen. Wires are used to start the combustion. The container is put into a container of water. The heat capacity of the calorimeter is known and tested. Bomb Calorimeter thermometer stirrer full of water ignition wire Steel bomb sample Suppose we wish to measure the energy of combustion of octane (C8H18), a component of gasoline. A 0.5269-g sample of octane is placed in a bomb calorimeter known to have a heat capacity of 11.3 kJ/ºC. This means that 11.3 kJ of energy is required to raise the temperature of the water and other parts of the calorimeter by 1ºC. The octane is ignited in the presence of excess oxygen, and the temperature increase of the calorimeter is 2.25ºC. The amount of energy released is calculated as follows: Energy released by the reaction = ΔT x heat capacity of calorimeter A bomb calorimeter has a heat capacity of 9.47 kJ/K. When a 2.01-g sample of (C3H6) was burned in this calorimeter, the temperature increased by 4.26 K. Calculate the energy of combustion for the sample. A bomb calorimeter has a heat capacity of 9.47 kJ/K. When a 2.01-g sample of (C3H6) was burned in this calorimeter, the temperature increased by 4.26 K. Calculate the energy of combustion for the sample. A 2.200-g sample of quinine (C6H4O2) is burned in a bomb calorimeter whose total heat capacity is 7.854kj/ºC. the temperature of the calorimeter plus the contents increased from 23.44ºC to 30.57ºC. What is the heat of combustion? per gram of quinine? Per mole of Quinine? .5865g sample of lactic acid HC3H5O3 is burned in a calorimeter whose heat capacity is 4.812kj/ºC. The temperature increases from 23.10ºC to 24.95ºC . Calculate the heat of combustion of lactic acid per gram ? The heat of combustion of pentane, is -131.64 kJ/g. Combustion of 4.50 g of pentane causes a temperature rise of 2.00°C in a certain bomb calorimeter. What is the heat capacity of this bomb calorimeter? The combustion of 0.1584g benzoic acid increase the Temperature of a bomb calorimeter by 2.54°C. The energy released by the combustion is 26.42kj/g.Calculate the heat capacity of the bomb Calorimeter . Standard States Compound - For a gas, pressure is exactly 1 atmosphere. - For a solution, concentration is exactly 1 molar. - Pure substance (liquid or solid), it is the pure liquid or solid. Element - The form [N2(g), K(s)] in which it exists at 1 atm and 25°C. Hess’s Law Reactants Products The change in enthalpy is the same whether the reaction takes place in one step or a series of steps. Using Enthalpy Consider the decomposition of water H2O(g) + 286 kJ ---> H2(g) + 1/2 O2(g) Endothermic reaction — heat is a “reactant” DH = + 286 kJ Using Enthalpy Making H2 from H2O involves two steps. H2O(l) + 44 kJ ---> H2O(g) H2O(g) + 242 kJ ---> H2(g) + 1/2 O2(g) ----------------------------------------------------------------H2O(l) + 286 kJ --> H2(g) + 1/2 O2(g) Example of HESS’S LAW— If a rxn. is the sum of 2 or more others, the net DH is the sum of the DH’s of the all rxns. Calculations via Hess’s Law 1. If a reaction is reversed, DH is also reversed. N2(g) + O2(g) 2NO(g) DH = 180 kJ 2NO(g) N2(g) + O2(g) DH = 180 kJ 2. If the coefficients of a reaction are multiplied by an integer, DH is multiplied by that same integer. 6NO(g) 3N2(g) + 3O2(g) DH = 540 kJ Using Enthalpy Calc. DH for S(s) + 3/2 O2(g) --> SO3(g) S(s) + O2(g) --> SO2(g) -320.5 kJ SO3(g) --> SO2(g) + 1/2 O2(g) +75.2 kJ _______________________________________ S(s) + 3/2 O2(g) --> SO3(g) -395.7 kJ energy S solid direct path + 3/2 O2 DH = -395.7 kJ SO3 gas +O2 DH 1 = -320.5 kJ SO2 gas + 1/2 O2 DH 2 = -75.2 kJ DH along one path = DH along another path Determine the heat of reaction for the decomposition of one mole of benzene to acetylene C6H6(l) 3C2H2(g) given the following thermo chemical equations: 2C6H6(l) + 15O2(g) 12CO2(g) + 6H2O(g) DH = -6271 kJ 2C2H2(g) + 5O2(g) 4CO2(g) + 2H2O(g) DH = -2511 kJ See smart Hess Law Using Standard Enthalpy Values H2O(g) + C(graphite) --> H2(g) + CO(g) (product is called “water gas”) DH along one path = DH along another path This equation is valid because DH is a STATE FUNCTION These depend only on the state of the system and not how it got there. Change in Enthalpy Can be calculated from enthalpies of formation of reactants and products. DHrxn° = npDHf(products) nrDHf(reactants) D H is an extensive property--kJ/mol For the reaction: 2H2 (g) + O2 (g) ---> 2H2O(g) Standard Enthalpy Values NIST (Nat’l Institute for Standards and Technology) gives values of DHof = standard molar enthalpy of formation This is the enthalpy change when 1 mol of compound is formed from elements under standard conditions. DHof is always stated in terms of moles of product formed. DHof, standard molar enthalpy of formation H2(g) + 1/2 O2(g) --> H2O(g) DHof = -241.8 kJ/mol By definition, DHof = 0 for elements in their standard states. Using Standard Enthalpy Values Use DHf’s to calculate enthalpy change DH for H2O(g) + C(graphite) --> H2(g) + CO(g) From reference books we find DHf of H2O vapor = - 242 kJ/mol H2(g) + 1/2 O2(g) --> H2O(g) DH f of CO = - 111 kJ/mol C(s) + 1/2 O2(g) --> CO(g) Using Standard Enthalpy Values Calculate the heat of combustion of methanol, i.e DHorxn for CH3OH(g)+ 3/2 O2(g) -->CO2(g) +2 H2O(g) DHof (-201.5kj) (-393.5kj) (-241.8kj) DHorxn = DHof (prod) - DHof (react) Using Standard Enthalpy Values CH3OH(g) + 3/2 O2(g) --> CO2(g) + 2 H2O(g) DHorxn = DHof (prod) - DHof (react) DHorxn = (-393.5 kJ) + 2 (-241.8 kJ) - {0 + (-201.5 kJ)} DHorxn = -675.6 kJ per mol of methanol h 2Al(s) + Fe2O3(s) Al2O3 DHof = 646kj/mol Fe2O3(s) DHof =-826kj/mol Al2O3(s)+Fe(s) 2KIO3 + 12HCl KIO3= -501 6H20= -286 HCl= -92 ICl= -24 KCL= -435 2ICl +KCL+6H20+4Cl2 The standard enthalpy of combustion of ethane gas C2H4 is –1411.1 kj/mol a 298k Given the following enthalpy of formation calculate the enthalpy of formation of ethane gas CO2DHof =-393.5kj/mol o DH H20 f =-285.8kj/mol 06_77 C(s) CH4(g) (a) (c) CO2(g) 2H2(g) (d) 2O2(g) (b) Reactants 2H2O(l) 2O2(g) Elements Products Pathway for the Combustion of Methane 06_1551 Reactants Elements 0 kJ C(s) 2O2(g) 2O2(g) 75 kJ 2H2(g) - 394 kJ - 572 kJ Energy CH4(g) = Reactants = Elements = Products CO2(g) 2H2O(l) Products Schematic diagram of the energy changes for the combustion of methane. Greenhouse Effect -- a warming effect exerted by the earth’s atmosphere due to thermal energy retained by absorption of infrared radiation. Infrared radiated by the earth 06_80 Greenhouse Gases: CO2 Visible light from the sun CO2 and H2O molecules H2O Earth CH4 N2O Earth’s atmosphere