Today’s Topics: • Temperature • Thermal expansion • Heat • Specific heat Temperature • Microscopic: measure of mean ___________________ of molecules of a gas Study of thermodynamics thermos – ________ dynamis – ________ • Macroscopic: measure of thermal _________________ _________ Law of Thermodynamics – Two systems are in thermal equilibrium if and only if they have the same temperature. Thermodynamics: study of the effects of work, heat, and energy on a system. • Thermal ______________: particular object or set of objects; interested in temperature dependent properties; everything else is called the environment. • Thermal ______________: temperature and temperature dependent properties no longer changing. • Thermal ______________: thermal system so large it maintains a constant temperature when it interacts with other thermal systems; also called a heat bath. EF 152 2016 Lecture 3-1 1 Scale Units Water Freezing Point Water Boiling Point Fahrenheit °F 32°F 212°F Celsius °C 0°C 100°C Kelvin Kelvin 273 K 373 K T Rankine °R 491.6°R 671.6°R T EF 152 2016 Lecture 3-1 2 Thermal Expansion Thermal Stresses Solids: change in length is, to a good approximation, __________ proportional to change in temperature. If expansion or contraction is restrained, stresses will develop. These are called ________________ l α: coefficient of thermal expansion l0: original length Material (/°C) Aluminum 25x10-6 Brass 19x10-6 Gold 14x10-6 Iron or Steel 12x10-6 Glass (ordinary) 9x10-6 Glass (Pyrex®) 3x10-6 A 128 ft long Neyland Stadium column shortens about 0.1 inch under the spectator load. How much does the column lengthen as the temperature goes from 50°F to 75°F? 7.3 10 / Thermal expansion: ∆ ∆ ∆ A welded steel rail is laid at 55°F. What is the thermal stress in the rail on a hot summer day when the rail temperature is 120°F? = 7.3x10-6 /°F, E = 29x106 lb/in2 E: modulus of elasticity Why do pipelines zigzag? What would a negative coefficient of thermal expansion indicate? EF 152 2016 Lecture 3-1 3 EF 152 2016 Lecture 3-1 4 Volume Expansion Heat _______: Symbol commonly used for heat. Coefficient of Volume Expansion, β: fractional change of volume due to a unit temperature change. V V0 T For a solid, Material _____________: measuring heat _________: amount of heat necessary to raise 1 gram of water 1°C The 15 gallon steel gas tank of a car is filled to the top with gasoline at 20°C (68°F). The car sits in the sun and the tank and gas reach a temperature of 38°C (100.4°F). How much gasoline overflows from the tank? βgas = 950x10-6/°C, βsteel = 36x10-6/°C 3 β(/°C) ____________ or _________: amount of heat necessary to raise 1 kilogram of water 1°C _________________________: amount of heat 1 BTU = 252.02 cal = 0.252 Cal necessary to raise 1 lb of water 1°F Aluminum 75x10-6 Brass 56x10-6 Gold 42x10-6 Iron or Steel 36x10-6 _______________: objects in contact Gasoline 950x10-6 Mercury 180x10-6 _______________: fluid (liquid or gas) between objects Water 210x10-6 _______________: electromagnetic waves Mechanisms of heat transfer EF 152 2016 Lecture 3-1 5 EF 152 2016 Lecture 3-1 6 Mechanical Equivalent of Heat Heat Capacity • Experiment by James Prescott Joule, an English brewer in 1800s Amount of heat required to change the temperature is proportional to ______ and ____ • Falling weight turned a paddle Q mcT • Joule determined that there is a precise equivalent of work done on a system and the heat flow into it c (cal/g-°C) Aluminum 0.22 Glass 0.20 Iron or Steel 0.11 Water Example: Cup of Coffee • 4.186 J = 1 cal 200 cm3 of French Vanilla coffee at 95°C is poured into a 150 g glass cup initially at 25°C. Assuming no heat flows to the surroundings, what is the common temperature? Conservation of Energy EF 151 c = specific heat Material a.) Teq > 60°C b.) Teq = 60°C Thermo c.) Teq < 60°C State Variables Rework with 400 cal of heat were lost to the surroundings Changes to System EF 152 2016 Lecture 3-1 7 EF 152 2016 Lecture 3-1 8
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