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Laws of Thermodynamics Chapter 11 Physics Ms. Hanlin
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Thermal energy is conserved Sliding a book across a table leads to a decrease in kinetic energy over time from friction= produces heat. Thermal energy=kinetic + potential energy of the system If energy is added to the system, or taken out, the thermal energy(E) changes. Demonstration: paper clip
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Adding Heat and Work to a system… Example: You have a container with a specific initial thermal energy (E i ). If heat (Q) is added to the system, Ef is equal to the initial thermal energy + heat added. Because of this, the change in thermal energy is Q= E f - E i Q positive when heat is added to the system Q is negative when heat is taken away from the system The same thing can happen when work is added to a system (form of energy) When a system does work, the system loses final thermal energy (W=negative) Ef =initial thermal energy – work OR Ei-W = Ef When work is done on a system, thermal energy increases (W=positive)
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Combining Work and Heat… Change in thermal energy = heat – work ΔE = Q -W Adding heat to the system increases the thermal energy When work is done by a system, uses the heat and decreases the thermal energy Transfer energy from work to heat to create end thermal energy
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Example: Jogging on the beach Jogging on the beach one day, you do 4.3 X 10 5 J of Work and give off 3.8 X 10 5 J of heat. What is the change in your thermal energy? Give off heat (exothermic) heat is negative
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Heat Engines Heat engine converts thermal energy into work. Gas engines in cars turn thermal energy from burning fuel into mechanical energy (motion). YOU consume food and “burn” it during digestion and use this energy to survive.
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Thermal Reservoir and Efficiency Heat supplied to the heat engine come from a Hot thermal reservoir. This heat will be denoted as Q h. A thermal reservoir is an area that receives heat, with little to no change in thermal temperature. Source of heat at a constant temperature. Of the heat going into the engine, some is used as work, while the rest is given off as waste heat at a relatively low temperature This is denoted as Qc The energy into the system is equal to the energy out Q h = W + Q c *Rearrange equation to find Work
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Thermal Reservoir Efficiency Efficiency of a heat engine is found by calculating how efficiently thermal energy is converted into work (not given off as waste). Efficiency=work done by engine/heat supplied by reservoir SI unit: percent Since Work is equal to the Initial heat minus the waste heat… Q h – Q c / Q h = efficiency
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The Second Law has Limitations Second Law of Thermodynamics: When objects at different temperatures are brought in contact, energy flows from the high temp object to the low temp object, until equilibrium Because of this, efficiency can never reach 100 % We can use an equation to find the maximum efficiency Max efficiency= 1 – (temp. of cold reservoir/temp of hot reservoir) Max Work= (1 – T c /T h ) Q h All that matters in engine efficiency is the hot and cold reservoir, not the material or construction. Heat engines require a temperature difference to operate
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Example Problem Suppose you have an ideal heat engine that can operate in two different modes. In mode 1, the temperature of the two reservoirs are T c =200 K and T h =400 K. In mode 2, the temperature of the two reservoirs are T c =400 K and T h =600 K. Which of these models in more efficient?
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Entropy Entropy is the measure of disorder in a system. S is the value we use and ΔS is used for change of entropy ΔS = heat/ Temperature Heat= Q Temperature= T The entropy of the universe never decreases, either increases or stays the same.
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Third Law of Thermodynamics Absolute zero can never be reached. It is impossible to reach temperatures lower than absolute zero.
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11.2 Thermal Processes Thermal energy in a system can be changed in a number of ways. 1. Constant volume: The temperature and pressure can increase, while the volume stays constant (holding a cold soda can) Can does no work (work=force X displacement) Δ E = Q – W so… ΔE =Q change in thermal energy = heat 2. Constant pressure: Heating and expansion occur with no change in pressure. Hot air balloon: the gas expands as it is heated As gas expands with heat, it can do work (F=pressure X area) Force X distance = Work Work= Pressure X volume
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