CHEMISTRY Thermochemistry Thermochemistry is interested in the heat changes that occur during chemical reactions. Let’s define some words that may be helpful. When is WORK done? ______________________________________________________________________________ What is ENERGY? ______________________________________________________________________________ Chemical Potential Energy is ______________________________________________ _____________________________________________________________________________. What is HEAT? ____________________________________________________________ ______________________________________________________________________________ BOND BREAKING ________________ energy. BOND FORMING _________________ energy. Exothermic Reaction (RELEASE HEAT) Endothermic Reaction (ABSORB HEAT) Hproducts < Hreactants ∆H = Hp - Hr = Negative ( - ) Hproducts > Hreactants ∆H = Hp - Hr = Positive ( + ) 1 Since most chemical reactions and physical changes carried out in the laboratory are open to the atmosphere, these changes occur at constant pressure. FOR SYSTEMS AT CONSTANT PRESSURE, THE HEAT CONTENT IS THE SAME AS A PROPERTY CALLED THE ENTHALPY(H) OF THE SYSTEM. Heat changes for reactions carried out at constant pressure are the same as changes in enthalpy, symbolized as ΔH (read “delta H”). q = ΔH. q = ΔH = m x C x ΔT m = mass of the water C = specific heat capacity of water ΔT = Tf - Ti EXAMPLES 1. 15.3 g of NaNO3 were dissolved in 100. g of water in a calorimeter. The temperature of the water dropped from 25.00oC to 21.56oC. Calculate ΔH for the solution process. 2. A 1.0 g sample of octane (C8H18) is burned in a calorimeter containing 1200 g of water. The temperature of the water rises from 25.00oC to 33.20oC. Calculate ΔH for this process. 3. A student mixed 50.0 ml of water containing 0.50 mol of HCl at 22.5oC with 50.0 ml of water containing 0.50 mol NaOH at 22.5oC in a foam cup calorimeter. The temperature of the resulting solution increased to 26.0oC. How much heat in kilojoules (kJ) was released by this reaction? The enthalpy of the products is (lower or higher…circle the best) than that of the reactants in an exothermic reaction. The enthalpy of the products is (lesser or greater…circle the best) than that of the reactants in an endothermic reaction. 2 The standard state is the MOST STABLE FORM OF AN ELEMENT UNDER STANDARD CONDITIONS. (25oC and 1 atm of pressure) When discussing heat changes in a chemical equation…we need to define a few terms: (a) System = ___________________________________________________________________ (b) Surroundings = ____________________________________________________________ (c) Universe = ________________________________________________________________ In thermochemical calculations, the direction of the heat flow is given from the point of view of the system. Refer back to the diagrams above: ENDOTHERMIC PROCESSES: ___________________________________________________ ________________________________________________________________________________ EXOTHERMIC PROCESSES: _____________________________________________________ ________________________________________________________________________________ 1 calorie = quantity of heat needed to raise the temperature of 1 g of pure water 1oC. Calorie defines energy in food. 1 Calorie = 1 kilocalorie = 1000 calories 1 joule = 0.2390 calories 4.184 J = 1 calorie Heat capacity = amount of heat needed to increase the temperature of an object exactly 1oC (depends on mass and chemical composition). Specific Heat Capacity (specific heat) of a substance is the amount of heat it takes to raise the temperature of 1 g of the substance 1oC. Metals have LOW specific heats (Al = 0.90 J/ g∙oC) and water has a very high specific heat (4.184 J/g∙oC or 1 calorie/ g∙oC). Heat affects the temperature of objects with a high specific heat much less than the temperature of those with a low specific heat. IT TAKES A LOT OF HEAT TO RAISE THE TEMPERATURE OF A BODY OF WATER. WATER RELEASES A LOT OF ENERGY AS IT COOLS. 3 EXAMPLES 1. When 435 J of heat is added to 3.4 g of olive oil at 21oC, the temperature increases to 85oC. What is the specific heat of olive oil? 2. How much heat is required to raise the temperature of 20.0 g of iron from 26oC to 72.30oC? The specific heat of iron is 0.447 J/g∙oC. Chemistry problems involving enthalpy changes are similar to stoichiometry problems. The amount of heat released or absorbed during a reaction depends on the number of moles of the reactants involved. 1. Calculate the amount of heat released by the combustion of 1.75 mol of benzene. 2C6H6 + 15O2 12CO2 + 6H2O ∆Ho = - 98.0 kJ 2. How much heat is transferred when 100.0 g of calcium oxide (CaO) reacts with carbon according to the equation below? Is this reaction endothermic or exothermic? CaO + 3C CaC2 + CO ΔHo = + 464.8 kJ 3. Ammonium dichromate decomposes in a vigorous reaction when it is heated. Calculate the heat transferred for the decomposition of 53.0 g of ammonium dichromate according to the following equation. (NH4)2Cr2O7 N2 + 4H2O + Cr2O3 ΔHo = - 315 kJ The heat of combustion is _____________________________________________________________. ALL SOLIDS ABSORB HEAT AS THEY MELT TO BECOME LIQUIDS. Molar heat of fusion (∆Hfusion) = ____________________________________________________________ Molar heat of solidification (ΔHsolidification) = ___________________________________________________ 4 H2O(s) H2O(l) ΔH fus = 6.01 kJ/mol H2O(l) H2O(s) ΔH solid = - 6.01 kJ/mol Molar heat of vaporization = amount of heat necessary to vaporize one mole of a given liquid. H2O(l) H2O(g) ΔH vap = 40.7 kJ/mol H2O(g) H2O(l) ΔH cond = - 40.7 kJ/mol Molar heat of condensation = amount of heat released when 1 mol of vapor condenses. 1. How much heat (in kJ) is absorbed when 63.7 g H2O(l) at 100oC is converted to steam at 100oC? 2. Why is a burn from steam potentially far more serious than a burn from very hot water? DID YOU KNOW THAT HEAT CHANGES CAN OCCUR WHEN A SOLUTE DISSOLVES IN A SOLVENT? The heat change caused by dissolution of one mole of substance is the molar heat of solution (ΔH soln). A practical application of an exothermic reaction is how a hot pack works (CaCl2 + water). A practical application of an endothermic reaction is how a cold pack works (NH4NO3 + water). HESS’S LAW Since most reactions take place in a series of steps. Since it is impossible to obtain the heat of reaction of an intermediate step…we rely on Hess’s law to help us. It makes it possible to measure a heat of reaction indirectly. If a series of reactions are added together, the enthalpy change for the NET equation will be the sum of the enthalpy changes for the individual steps. ΔH net = ΔH1 + ΔH2 … etc. N2(g) + O2(g) 2NO(g) ΔH = +181 kJ + 2NO(g) + O2(g) 2NO2(g) ΔH = - 113 kJ ΔHnet = 5 RULES: 1. If the coefficients of an equation are multiplied by a factor, the enthalpy change for the reaction is multiplied by the same factor. 2. If the equation is reversed, the sign of ΔH changes also. EXAMPLE #1 C(s) + ½ O2(g) CO(g) ΔHo = - 110.5 kJ CO(g) + ½ O2(g) CO2(g) ΔHo = - 283.0 kJ Calculate the value of ΔHo for the reaction C(s) + O2(g) CO2(g). EXAMPLE #2 Cu(s) + Cl2(g) CuCl2(s) ΔHo = - 206 kJ 2Cu(s) + Cl2(g) 2CuCl(s) ΔHo = - 136 kJ Calculate the value of ΔHo for the reaction CuCl2(s) + Cu(s) 2CuCl(s). EXAMPLE #3 C(s) + O2(g) CO2(g) ΔHo = - 393.5 kJ H2(g) + ½ O2(g) H2O(l) ΔHo = - 285.8 kJ 2C2H2(g) + 5O2(g) 4CO2(g) + 2H2O(l) ΔHo = - 2598.8 kJ o Calculate the value of ΔH for the reaction 2C(s) + H2(g) C2H2(g). Standard Heats of Formation (ΔHo f) This is measured for a compound. It is the change in enthalpy that accompanies the formation of one mole of a compound from its elements with all substances in their standard states at 25oC. The ΔHof of a free element in its standard state is arbitrarily set at zero [H2(g), N2(g), O2(g), F2(g), Cl2(g), Br2(l), I2(s); this is also true of the graphite form of carbon, C(s). The standard heat of reaction (ΔHo) is the difference between the standard heats of formation of all the reactants and products. ΔHo = ΔHof (products) - ΔHof (reactants) EXAMPLE #4 What is the standard heat of reaction (ΔHo) for the reaction of gaseous carbon monoxide with oxygen to form gaseous carbon dioxide? 6