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Chapter 9 Heat Pages 297 – 320 Coach Kelsoe Chapter 9 Heat Section One Temperature and Thermal Equilibrium Pages 298 - 304 Section One Objectives Relate temperature to the kinetic energy of atoms and molecules Describe the changes in the temperatures of two objects reaching thermal equilibrium Identify the various temperature scales, and convert from one scale to another Section One Vocabulary Temperature – a measure of the average kinetic energy of the particles in a substance Internal energy – the energy of a substance due to both the random motions of its particles and to the potential energy that results from the distances and alignments between the particles Thermal equilibrium – the state in which two bodies in physical contact with each other have identical temperatures Section One Formulas Celsius – Fahrenheit Temperature Conversion Fahrenheit temperature = (9/5 x Celsius temperature) + 32.0 Celsius – Kelvin Temperature Conversion T = TC + 273.15 Temperature & Thermal Equilibrium The temperature of a substance is proportional to the average kinetic energy of particles in the substance. A substance’s temperature increases as a direct result of added energy being distributed among the particles of the substance. The energies associated with atomic motion are referred to as internal energy, which is proportional to the substance’s temperature. Temperature & Thermal Equilibrium Thermal equilibrium is the basis for measuring temperature with thermometers. By placing a thermometer in contact with an object and waiting until the column of liquid in the thermometer stops rising or falling, you can find the temperature of the object. The reason is that the thermometer is in thermal equilibrium with the object. Remember that thermal equilibrium is the state in which two bodies in physical contact with each other have identical temperatures. Practice Problem What is the equivalent Celsius temperature of 50.0°F? Given: TF = 50.0°F Unknown: TC = ? Use the Celsius-Fahrenheit equation to convert Fahrenheit into Celsius. TF = 9/5TC + 32.0 TC = 5/9 (TF – 32.0) TC = 5/9 (50.0 – 32.0)°C = 10.0°C Practice Problem What is the equivalent Kelvin temperature of 50.0°F? Use the Celsius-Kelvin equation to convert Celsius into Kelvin. T = TC + 273.15 T = (10.0 + 273.15)K = 283.2 K Chapter 9 Heat Section Two Defining Heat Pages 305 - 312 Section Two Objectives Explain heat as the energy transferred between substances that are at different temperatures Relate heat and temperature change on the macroscopic level to particle motion on the microscopic level Apply the principle of energy conservation to calculate changes in potential, kinetic, and internal energy Section Two Vocabulary Heat – the energy transferred between objects because of a difference in their temperatures Section Two Formula Conservation of Energy PE + KE + U = 0 Defining Heat Heat is the energy transferred between objects because of a difference in their temperatures. The word heat is sometimes used to refer to the process by which energy is transferred between objects because of a difference in their temperatures. Heat Heat- the energy transferred between objects because of a difference in their temperatures Energy is transferred between substances as heat. The symbol for heat is Q and is measured in joules (J). Internal Energy When objects collide inelastically, not all of their initial kinetic energy remains as kinetic energy after the collision. Some of the energy is absorbed as internal energy by the objects. Ex. If you pull out a nail after hammering it into wood, it feels warm. The nail encounters friction as it is pulled out; the energy required to overcome the friction is transformed into internal energy. The increased internal energy raises the nail’s temperature. The symbol for a change in internal energy is ΔU. Conservation of Energy ΔPE + ΔKE + ΔU = 0 (change in potential energy + change in kinetic energy + change in internal energy = 0) Specific Heat Capacity Defined as the energy required to change the temperature of 1 kg of that substance by 1° C Every substance has a unique specific heat capacity. c(p) = Q/mΔT (specific heat capacity = energy transferred as heat / mass × change in temperature) Calorimetry Calorimetry is used to determine specific heat capacity. To measure the specific heat capacity of a substance you must measure the mass, temperature change, and energy transferred as heat. You can find the mass and ΔT directly, but to find the measurement of heat you have to measure the heat transferred between the object and a known quantity of water. cp,wmwΔTw = -cp,xmxΔTx (Specific heat capacity of water × mass of water × change of temperature of water = - Specific heat capacity of substance × mass of substance × change of temperature of substance) Latent Heat When substances melt, freeze, boil, or condense, the energy added or removed changes the internal energy without changing the substance’s temperature. These changes are called phase changes. Latent heat is energy transferred during phase changes. Practice Problem A 61.4 kg roller skater on level ground brakes from 20.5 m/s to 0 m/s. What is the total change in the internal energy of the system? Given: m=61.4 kg vi=20.5 m/s vf=0 m/s Find potential and kinetic energy using the givens. Practice Problem There is no potential energy since the roller skater is in motion. To find kinetic energy use the formula: KE = ½mv2 Kinetic energy = 12,870.98 J PE + KE + U = 0 0 +12,870.98J + U = 0 U = -12,870.98J Quantities U change in internal energy Q heat W work eff efficiency Units J joules J joules J joules (unit less) Sign Convention for heat, q Heat is transferred into the system ? q > 0 Heat is transferred out of the system ? q < 0 Sign Convention for work, w Work is done upon the system by the surroundings ? w<0 Work is done by the system on the surroundings ? w>0 The principle of energy conservation that takes into account a system’s internal energy as well as work and heat is called the first law of thermodynamics. A total of 135J of work is done on a gaseous refrigerant as it undergoes compression. If the internal energy of the gas increases by 114J during the process, what is the total amount of energy transferred as heat? Has energy been added to or removed from the refrigerant as heat? Given: W = -135J Unknown: Q = ? U = 114J (since the work is done on the gas, W is a negative value) First rearrange the equation U=Q-W to Q= U+W Now plug in the values… Q=114J+(-135J) Q= -21J (sign for Q is negative, which indicates energy is transferred as heat from the refrigerant) The requirement that a heat engine give up some energy at a lower temperature in order to do work does not follow the first law. Therefore this requirement is the basis of what is called the second law of thermodynamics. The second law states that no machine can transfer all of its absorbed energy as work. When you shuffle a deck of cards, it is highly improbable that the cards would end up separated by suit and in numerical sequence. Such a highly ordered arrangement can be formed in only a few ways, but there are more than 8 x 1067 ways to arrange 52 cards. A measure of the randomness or disorder of a system The greater the entropy of a system is, the greater a systems disorder!!!! Once a system has reached a state of greatest disorder, it will tend to remain in that state and have maximum entropy. A small decrease in entropy = more order or less disorder A large increase in entropy = less order or more disorder DID YOU KNOW? Entropy decreases in many systems on Earth. For example, atoms and molecules become incorporated into complex and orderly biological structures such as cells and tissues. These appear to be spontaneous because we think of the Earth itself as a closed system. So much energy comes from the sun that the disorder in chemical and biological systems is reduced, while the total entropy of the Earth, sun, and intervening space increases. The entropy of the universe increases in all natural processes.