Thermochemistry • When energy is changed from one form to another, all of the energy can be accounted for. This is called the Law of Conservation of Energy. • Heat is energy. If heat is released by a chemical system, an equal amount of heat will be absorbed by the surroundings • (For example) - When your body breaks down sugar completely, the body releases the same amount of heat as compared to burning the same amount of sugar in a flame. • Heat is transferred due to a temperature difference. Faster molecules speed up the slower molecules. This slows the faster molecules. • In an endothermic process, the system absorbs heat from the surroundings. A process that absorbs heat is a(n) endothermic process. • In an exothermic process, the system gives off heat to the surroundings. • If you were to touch the flask in which an endothermic reaction was occurring, the flask would probably feel warmer than before the reaction started. • In an exothermic reaction, the energy stored in the chemical bonds of the reactants is greater than the energy stored in the bonds of the products. • As perspiration evaporates from your skin, your body is cooled. • With respect to your body, this process is said to be exothermic. • A calorie is the quantity of heat that raises the temperature of 1 gram of pure water by 1C. • 1 Calorie = 4.18 kJ of heat • How many kJ of energy can be released by a banana containing 150 Cal? (1 Calorie = 4.18 kJ) 4.18 kJ 150 Cal 630 kJ 1 Cal • An object's heat capacity is the amount of heat required to change the temperature of an object by exactly 1°C. • The specific heat capacity or specific heat is the heat divided by the mass and temperature change. • Where c = specific heat Q = heat m = mass and T = change of temperature • The temperature of a 10. g sample of metal changed from 25°C to 50°C when it absorbed 500. J of heat. What is the specific heat of this sample? • c=? • m = 10. g Q • T = 50°C-25°C = 25°C c • Q = 500. J mT 500. J Q J c 2.0 mT 10. g 25C g C • Determine the specific heat of a material if an 18 g sample absorbed 75 J as it was heated from 15°C to 40.°C. • c=? • m = 18 g • T = 40.°C-15°C = 25°C • Q = 75 J 75 J Q J c 0.17 mT 18 g 25C g C • What is the specific heat of a substance if 2000. cal are required to raise the temperature of a 300. g sample by 20.C? • c=? • Q = 2000. cal • m = 300. g • T = 20.C 2000. cal Q cal c 0.33 mT 300. g 20.C g C • What is the amount of heat required to raise the temperature of 200.0 g of aluminum by 10.C? • (specific heat of aluminum = 0.21 cal/gC) • Q=? • m = 200. g • c = 0.21 cal/gC • T = 10.C • Q = mcT • Q = (200. g)(0.21 cal/gC)( 10.C) = 420 cal • Water has the highest specific heat of all common substances. cal c = 1.00 g°C • The symbol H stands for the heat of reaction for a chemical reaction. • This is also called the change in enthalpy. H = Q • The heat content of a system is equal to the enthalpy only for a system that is at constant pressure. • Calorimetry depends on the law of conservation of energy. • If 27.0 mL of water containing HCl is mixed with 28.0 mL of water containing NaOH in a calorimeter such that the initial temperature of each solution was 24.0°C and the final temperature of the mixture is 33.0°C, how much heat (in kJ) is released in the reaction? Assume that the densities of the solutions are 1.00 g/mL. • • • • H = ? m = 27.0 g + 28.0 g = 55.0 g T = 33.0°C - 24.0°C = 9.0°C c = 0.00418 kJ/g°C 0.00418kJ 9.0 C 2.1 kJ H mcT 55.0 g gC • A lead mass is heated and placed in a foam cup calorimeter containing 40.0 mL of water at 17.0°C. The water reaches a temperature of 20.0°C. How many joules of heat were released by the lead? • • • • H = ? m = 40.0 g T = 20.0°C - 17.0°C = 3.0°C c = 4.18 J/g°C 4.18 J 3.0 C 502 J H mcT 40.0 g gC • Fusion = solid liquid • Solidification = liquid solid • Molar heat of fusion – –heat required to melt a mole = Hfusion • Molar heat of solidification – –heat required to freeze a mole =Hsolid • Hfusion = -Hsolid • Vaporization is liquid vapor • Condensation is vapor liquid • Molar heat of vaporization – – heat required to vaporize a mole = Hvap • Molar heat of condensation – – heat required to condense a mole = Hcond • Hvap = -Hcond • Given the equation I2(s) + 62.4 kJ I2(g) H = +62.4 kJ • How much heat, in kJ, is released when 108 g of water at O°C freezes to ice at O°C if Hsolid for water = -6.01 kJ/mol? 1 mol H 2O 6.01 kJ 108 g 36.1 kJ 18 g H 2O 1 mol H 2O • How much heat is released in the condensation of 27.0 g of steam at 100°C to water at 100°C if Hcond for water = -40.7 kJ/mol? 1 mol H 2O 40.7 kJ 27.0 g 61.0 kJ 18 g H 2O 1 mol H 2O • How many grams of ice at 0°C can be melted into water at 0°C by the addition of 75.0 kJ of heat? Hfus for water = 6.01 kJ/mol 18 g H 2O 1 mol H 2O 75.0 kJ 225 g 1 mol H 2O 6.01 kJ • The heat of solution is the amount of heat absorbed or released when a solid dissolves. • If the molar heat of solution of NaOH is -445.1 kJ/mol, how much heat (in kJ) will be released if 80.00 g of NaOH are dissolved in water? 1 mol NaO H 445.1 kJ 80.00 g NaO H 890.2 kJ 40. g NaO H 1 mol NaO H • Hess's law makes it possible to calculate H for complicated chemical reactions. • Hess’s Law – If you add 2 or more thermochemical equations to give a final equation, then you also ADD the heats of reactions to give the final heat of reaction. • Given the equation: • C2H4 (g) + 3O2(g) + 2H2O(l) + 1411 kJ • How much heat is released when 8.00 g of O2 react? 1 mol O 2 1411kJ 8.00 g O 2 118 kJ 32. g O 2 3 mol NaO H • What is the heat of reaction (H) for the combustion (with O2) of benzene, C6H6 to form carbon dioxide and water? Write the balanced equation for the reaction. • Standard heats of formation: • C6H6 = +48.50 kJ • O2 = 0.0 kJ • CO2 = -393.5 kJ • H20 = -285.8 kJ • 2 C6H6 + 15 O2 12 CO2 + 6 H2O • H + (2) (48.50 kJ) + (15)(0.0 kJ) = (12) (-393.5 kJ) + (6) (-285.8 kJ) • H = -3266.9 kJ