Chapter 10 Energy Chapter 10 Table of Contents 10.1 The Nature of Energy 10.2 Temperature and Heat 10.3 Exothermic and Endothermic Processes 10.4 Thermodynamics 10.5 Measuring Energy Changes 10.6 10.7 10.8 10.9 Thermochemistry (Enthalpy) Hess’s Law Quality Versus Quantity of Energy Energy and Our World 10.10Energy as a Driving Force Copyright © Cengage Learning. All rights reserved 2 Section 10.1 The Nature of Energy Energy • • Ability to do work or produce heat. That which is needed to oppose natural attractions. • Law of conservation of energy – energy can be converted from one form to another but can be neither created nor destroyed. The total energy content of the universe is constant. Return to TOC Copyright © Cengage Learning. All rights reserved 3 Section 10.1 The Nature of Energy Energy • Potential energy – energy due to position or composition. • Kinetic energy – energy due to motion of the object and depends on the mass of the object and its velocity. Energy is the capacity to do work. • Radiant energy - comes from the sun and is earth’s primary energy source • Thermal energy - is the energy associated with the random motion of atoms and molecules • Chemical energy - is the energy stored within the bonds of chemical substances • Nuclear energy is the energy stored within the collection of neutrons and protons in the atom Copyright © Cengage Learning. All rights reserved Return to TOC 4 Section 10.1 The Nature of Energy Initial Position • In the initial position, ball A has a higher potential energy than ball B. Return to TOC Copyright © Cengage Learning. All rights reserved 5 Section 10.1 The Nature of Energy Final Position • After A has rolled down the hill, the potential energy lost by A has been converted to random motions of the components of the hill (frictional heating) and to the increase in the potential energy of B. Return to TOC Copyright © Cengage Learning. All rights reserved 6 Section 10.1 The Nature of Energy Energy • Heat involves the transfer of energy between two objects due to a temperature difference. • Work – force acting over a distance. • Energy is a state function; work and heat are not: State Function – property that does not depend in any way on the system’s past or future (only depends on present state). Changes independently of its pathway Return to TOC Copyright © Cengage Learning. All rights reserved 7 Section 10.1 The Nature of Energy State functions are properties that are determined by the state of the system, regardless of how that condition was achieved. energy, pressure, volume, temperature DU = Ufinal - Uinitial DP = Pfinal - Pinitial DV = Vfinal - Vinitial DT = Tfinal - Tinitial Potential energy of hiker 1 and hiker 2 is the same even though they took different paths. Return to TOC Copyright © Cengage Learning. All rights reserved 8 Section 10.2 Temperature and Heat Temperature • A measure of the random motions of the components of a substance. Temperature is a measure of the thermal energy. Return to TOC Copyright © Cengage Learning. All rights reserved 9 Section 10.2 Temperature and Heat Heat • A flow of energy between two objects due to a temperature difference between the objects. Heat is the way in which thermal energy is transferred from a hot object to a colder object. Return to TOC Copyright © Cengage Learning. All rights reserved 10 Section 10.3 Exothermic and Endothermic Processes • • System – part of the universe on which we wish to focus attention. Surroundings – include everything else in the universe. Return to TOC Copyright © Cengage Learning. All rights reserved 11 Section 10.3 Exothermic and Endothermic Processes open Exchange: mass & energy closed isolated Energy exchange No exchange Return to TOC Copyright © Cengage Learning. All rights reserved 12 Section 10.3 Exothermic and Endothermic Processes Energy Changes Accompanying the Burning of a Match Return to TOC Copyright © Cengage Learning. All rights reserved 13 Section 10.3 Exothermic and Endothermic Processes • Endothermic Process: Heat flow is into a system. Absorb energy from the surroundings. • Exothermic Process: Energy flows out of the system. • Energy gained by the surroundings must be equal to the energy lost by the system. Return to TOC Copyright © Cengage Learning. All rights reserved 14 Section 10.3 Exothermic and Endothermic Processes Concept Check Is the freezing of water an endothermic or exothermic process? Explain. Return to TOC Copyright © Cengage Learning. All rights reserved 15 Section 10.3 Exothermic and Endothermic Processes Concept Check Classify each process as exothermic or endothermic. Explain. The system is underlined in each example. Exo a) Endo Endo b) c) Exo Endo d) e) Your hand gets cold when you touch ice. The ice gets warmer when you touch it. Water boils in a kettle being heated on a stove. Water vapor condenses on a cold pipe. Ice cream melts. Copyright © Cengage Learning. All rights reserved Return to TOC 16 Section 10.3 Exothermic and Endothermic Processes Concept Check For each of the following, define a system and its surroundings and give the direction of energy transfer. a) b) Methane is burning in a Bunsen burner in a laboratory. Water drops, sitting on your skin after swimming, evaporate. Return to TOC Copyright © Cengage Learning. All rights reserved 17 Section 10.3 Exothermic and Endothermic Processes Concept Check Hydrogen gas and oxygen gas react violently to form water. Which is lower in energy: a mixture of hydrogen and oxygen gases, or water? Explain. Return to TOC Copyright © Cengage Learning. All rights reserved 18 Section 10.3 Exothermic and Endothermic Processes H2 + O2 have higher potential energy than H2O higher energy potential is absorbed energy Electrolysis of Water Copyright © Cengage Learning. All rights reserved lower energy potential is given energy off Burning of Hydrogen in Air Return to TOC 19 Section 10.4 Thermodynamics • • Study of energy Law of conservation of energy is often called the first law of thermodynamics. The energy of the universe is constant. Return to TOC Copyright © Cengage Learning. All rights reserved 20 Section 10.5 Measuring Energy Changes • The common energy units for heat are the calorie and the joule. calorie – the amount of energy (heat) required to raise the temperature of one gram of water 1oC. Joule – 1 calorie = 4.184 joules 1Cal (food) = 1000 calories Return to TOC Copyright © Cengage Learning. All rights reserved 21 Section 10.5 Measuring Energy Changes Example Convert 60.1 cal to joules. 60.1 cal 4.184 J = 251 J 1 cal Return to TOC Copyright © Cengage Learning. All rights reserved 22 Section 10.5 Measuring Energy Changes Energy (Heat) Required to Change the Temperature of a Substance Depends On: 1. The amount of substance being heated (number of grams). 2. The temperature change (number of degrees). 3. The identity of the substance. Specific heat capacity is the energy required to change the temperature of a mass of one gram of a substance by one Celsius degree. Return to TOC Copyright © Cengage Learning. All rights reserved 23 Section 10.5 Measuring Energy Changes Specific Heat Capacities of Some Common Substances Return to TOC Copyright © Cengage Learning. All rights reserved 24 Section 10.5 Measuring Energy Changes To Calculate the Energy Required for a Reaction: • Energy (heat) required, Q = s × m × ΔT Q = energy (heat) required (J) s = specific heat capacity (J/°C·g) m = mass (g) ΔT = change in temperature (°C) Return to TOC Copyright © Cengage Learning. All rights reserved 25 Section 10.5 Measuring Energy Changes Example Calculate the amount of heat energy (in joules) needed to raise the temperature of 6.25 g of water from 21.0°C to 39.0°C. Where are we going? • We want to determine the amount of energy needed to increase the temperature of 6.25 g of water from 21.0°C to 39.0°C. What do we know? • The mass of water and the temperature increase. Return to TOC Copyright © Cengage Learning. All rights reserved 26 Section 10.5 Measuring Energy Changes Example Calculate the amount of heat energy (in joules) needed to raise the temperature of 6.25 g of water from 21.0°C to 39.0°C. What information do we need? • We need the specific heat capacity of water. 4.184 J/g°C How do we get there? Q = s m DT Q = 4.184 J/g C 6.25 g 39.0 C 21.0 C Q = 471 J Copyright © Cengage Learning. All rights reserved Return to TOC 27 Section 10.5 Measuring Energy Changes Exercise A sample of pure iron requires 142 cal of energy to raise its temperature from 23ºC to 92ºC. What is the mass of the sample? (The specific heat capacity of iron is 0.45 J/gºC.) a) b) c) d) 0.052 g 4.6 g 19 g 590 g Q = s m DT Q m= s DT 142 cal 4.184 J 1 cal m= = 19 g 0.45 J/g C 92 C 23 C Return to TOC Copyright © Cengage Learning. All rights reserved 28 A Section 10.5 B Measuring Energy Changes 100 g water 200 g water 30oC 20 30oC 20 4184 J 8368 J Twice as much heat energy is required to raise the temperature of 200 g of water 10oC as compared to 100 g of water. temperature heat beakers rises 10oC Return to TOC Copyright © Cengage Learning. All rights reserved 29 Section 10.5 Measuring Energy Changes Concept Check A 100.0 g sample of water at 90°C is added to a 100.0 g sample of water at 10°C. The final temperature of the water is: a) Between 50°C and 90°C b) 50°C c) Between 10°C and 50°C Return to TOC Copyright © Cengage Learning. All rights reserved 30 Section 10.5 Measuring Energy Changes Concept Check A 100.0 g sample of water at 90.°C is added to a 500.0 g sample of water at 10.°C. The final temperature of the water is: a) Between 50°C and 90°C b) 50°C c) Between 10°C and 50°C Calculate the final temperature of the water. 23°C Copyright © Cengage Learning. All rights reserved Return to TOC 31 Section 10.5 Measuring Energy Changes Concept Check You have a Styrofoam cup with 50.0 g of water at 10.C. You add a 50.0 g iron ball at 90.C to the water. (sH2O = 4.18 J/°C·g and sFe = 0.45 J/°C·g) The final temperature of the water is: a) Between 50°C and 90°C b) 50°C c) Between 10°C and 50°C Calculate the final temperature of the water. 18°C Copyright © Cengage Learning. All rights reserved Return to TOC 32 Section 10.6 Thermochemistry (Enthalpy) Calorimetry • Enthalpy, H is measured using a calorimeter. Return to TOC Copyright © Cengage Learning. All rights reserved 33 Section 10.6 Thermochemistry (Enthalpy) An energy transformation whenever a chemical change occurs. occurs • If energy is absorbed during a chemical change, the products will have more chemical potential energy than the reactants. • If energy is given off in a chemical change, the products will have less chemical potential energy than the reactants. Return to TOC Copyright © Cengage Learning. All rights reserved 34 Section 10.6 Thermochemistry (Enthalpy) A sample of a metal with a mass of 212 g is heated to 125.0oC and then dropped into 375 g of water at 240.0oC. If the final temperature of the water is 34.2oC, what is the specific heat of the metal? When the metal enters the water, it begins to cool, losing heat to the water. At the same time, the temperature of the water rises. This process continues until the temperature of the metal and the temperature of the water are equal, at which point (34.2oC) no net flow of heat occurs. Return to TOC Copyright © Cengage Learning. All rights reserved 35 Section 10.6 Thermochemistry (Enthalpy) A sample of a metal with a mass of 212 g is heated to 125.0oC and then dropped into 375 g of water at 240.0oC. If the final temperature of the water is 34.2oC, what is the specific heat of the metal? • Calculate the heat gained by the water. • Calculate the final temperature of the metal. • Calculate the specific heat of the metal. Return to TOC Copyright © Cengage Learning. All rights reserved 36 Section 10.6 Thermochemistry (Enthalpy) A sample of a metal with a mass of 212 g is heated to 125.0oC and then dropped into 375 g of water at 240.0oC. If the final temperature of the water is 34.2oC, what is the specific heat of the metal? Heat Gained by the Water temperature rise of the water Δt = 34.2oC – 24.0oC = 10.2oC heat gained (375g ) 4.184 J o 4 (10.2 C) = = 1.60 x 10 J o by the water gC Return to TOC Copyright © Cengage Learning. All rights reserved 37 Section 10.6 Thermochemistry (Enthalpy) A sample of a metal with a mass of 212 g is heated to 125.0oC and then dropped into 375 g of water at 240.0oC. If the final temperature of the water is 34.2oC, what is the specific heat of the metal? Heat Lost by the Metal Once the metal is dropped into the water, its temperature will drop until it reaches the same temperature as the water (34.2oC). temperature drop of the metal Δt = 125.0oC – 34.2oC = 90.8oC heat lost heat gained = = 1.60 x 104 J by the metal by the water Copyright © Cengage Learning. All rights reserved Return to TOC 38 Section 10.6 Thermochemistry (Enthalpy) A sample of a metal with a mass of 212 g is heated to 125.0oC and then dropped into 375 g of water at 240.0oC. If the final temperature of the water is 34.2oC, what is the specific heat of the metal? The heat lost or gained by the system is given by: (mass) (specific heat) (Δt) = energy change rearrange heat specific heat = mass x Δt specific heat = of the metal Copyright © Cengage Learning. All rights reserved 1.60 x 10 J 0.831 J (212g)(90.8oC) g oC) 4 Return to TOC 39 Section 10.6 Thermochemistry (Enthalpy) Homework • Reading assignment – Pages 288 through 302 and chapter review • Homework Questions and Problems: pages 317 - 319 – 3, 5, 9, 13, 17, 19, 25, 27, 29, 31, 33, 35. • Due on Return to TOC Copyright © Cengage Learning. All rights reserved 40