Temperature • Defined as the measure of the average kinetic energy of the molecules in a sample. 1) Increase temperature = increase in KE Temperature Scale Scale Water Freezes Water Boils Who Uses Fahrenheit 32°F 212°F U.S. & one other country Celsius 0°C 100°C Everyone else. Scale used in science Thermal Expansion 1) Most materials expand when heated because as the molecules move around they move apart 2) Thermal expansion is the principle behind thermometers. a) expansion of the liquid inside the tube is proportional to the change in temperature 3) Thermal expansion is used in thermostats. a) Thermostats use a bimetallic strip to open and close the circuit. • Explain why running a spaghetti jar lid under hot water will allow a person to open the lid easier than when the jar is cold. • Underline and use the following terms/ phrases in your explanation. 1) thermal expansion 2) increase temperature 3) increase kinetic energy 4) move apart Heat 1) Defined as the flow of thermal energy. 2) Heat only exists where there is a difference in temperature. 3) Heat always flows from hot to cold. 4) Unit of heat is the calorie. a) calorie is defined as the quantity of heat needed to raise the temperature of 1 gram of water by 1°C Changes in Heat 1) Temperature AVERAGE KE of a sample 2) Thermal Energy sum (total) of all KE and PE of the molecules in a substance (PE comes from energy in bonds) a) depends on: 1) mass amount of matter 2) temperature 3) amount of energy the material can hold Specific Heat 1) Defined as a property of a substance that tells how much the temperature goes up when a given amount of heat is applied. 2) The higher the specific heat, the harder it is to raise the objects temperature Substance Specific Heat calorie/g°C Water 1.00 Ice 0.493 Aluminum 0.215 Silver 0.052 Gold 0.031 Very difficult to raise the temp of water, reason why water is used as a coolant Easy to raise the temp because of the low specific heat The Heat Equation Specific Heat (calorie/g°C) Heat energy (calorie) Q = mcΔT Mass (g) ΔT = Tf – Ti Change in temp (°C) If ΔT is negative = heat is lost, Q is negative If ΔT is positive = heat was gained, Q is positive Q = mcΔT Sample Problem: How much heat is needed to raise the temp of 250 g of water from 20°C to 40°C? Q = ?? m = 250 g Q = (250)(1.00)(20) c = 1.00 calorie/g°C Q = 5000 calories ΔT = 40 – 20 = 20°C • When 300 calories of energy is lost from a 125g object, the temp increases from 40 to 45C. What is the specific heat of this object? Q = 300 calories 300 = (125)(c)(5) m = 125 g 300 = (c)(625) c = ?? 300 = c ΔT = 45 – 40 = 5°C 625 0.48 = c • 1200 calories of heat energy is added to a liquid with a specific heat of 0.57. If the temperature increases from 20 to 33°C, what is the mass of the object? Q = 1200 calories 1200 = (m)(0.57)(13) m = ??? 1200 = (m)(7.41) c = 0.57 calorie/g°C ΔT = 33 – 20 = 13°C 1200 =m 7.41 162 g = m Flow of Heat and Equilibrium 1) First Law of Thermodynamics energy in a closed system is conserved heat loss = heat gain When the ice cube goes into the coffee, the amount of heat lost by the coffee will equal the heat gained by the ice cube. 2) Thermal Equilibrium results when heat flows from a hot object to a cold object until they are at the same temperature. a) heat flow stops once objects reach thermal equilibrium. Your grandmother in Ireland send you her favorite cookie recipe. Her instructions say to bake the cookies at 190.5°C. To what °F temp would you set the oven to bake the cookies • Formula: F = (9/5 X C) + 32 F = (9 X 190.5) + 32 (1714.5) + 32 342.8 + 32 5 5 375°F 2) Your father orders a fancy oven from England. When it arrives, you notice that the temp dial is calibrated in °C. You wish to bake a cake at 350°F. At what temp will you have to set the dial on the new oven? Formula: C = 5/9(F – 32) C = 5(350 – 32) 5(318) 1590 177 9 9 9 3) Your new German car’s engine temp gauge reads in °C, not °F. You know that the engine temp should not rise above 225°F. What is the corresponding °C temp on you new car’s gauge? Formula: C = 5/9(F – 32) C = 5(225 – 32) 5(193) 965 107 9 9 9 A scientist wishes to generate a chemical reaction in his lab. The temp values in his manual are given in °C. However, his lab thermometers are calibrated in F. If his need to heat his reactant to 232°C, What temp will he need to monitor on his lab thermometers? Formula: F = (9/5 X C) + 32 F = (9 X 232) + 32 (2088) + 32 417.6 + 32 5 5 450°F You phone a friend who lives in Denmark and tell him the temp today only rose to 15°F. He replies that you must have enjoyed the warm weather. Explain his answer. He was thinking that the temp was 59F (because 15°C = 59°F). He did not understand that 15°F is WAY below freezing. A gas has a boiling point of -175°C. At what Kelvin temp would this gas boil? Formula: K = C + 273 K = -175 + 273 K = 98 A chemists notices some silvery liquid on the floor in her lab. She wonders if someone accidentally broke a Hg thermometer. From her tests she find out that the melting point for the liquid is 275K. A book says the melting point of Hg is -38.87 C. Is this substance Hg? Formula: K = C + 273 K = -38.87 + 273 K = 234 No, the liquid is not Hg b/c the melting points are different. You are at a science camp in Fl. It is August. The 1st question on the quiz involves a thermometer that reports the current temp as 90°. You need to state which temp scale the thermometer is calibrated. Which scale do you pick? 90°C is almost boiling so not that one. 90°C is equal to 363K which is also almost boiling so its not Kelvin. 90°F is warm but no where near boiling, pick this one! 1) The weatherman tell you that today will reach a high of 45°F. Your friend in Sweden asks what the temperature will be in °C. What value would you report to your friend? Formula: C = 5/9(F – 32) C = 5(45 – 32) 5(13) 65 7.2 9 9 9