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Chapter 1.4.2: Temperature in Thermal Systems
Objectives: Define specific heat, heat of fusion, and heat of vaporization Use specific heat, heat of fusion, and heat of vaporization to solve problems involving heat transfer.
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Specific Heat Units for Thermal Energy and Heat
Joule (J) calorie (cal) British thermal unit (Btu) Specific heat, C – amount of energy required to raise the temperature of a unit mass of a substance one temperature unit. Possible units? J/g·oC cal/g·oC kJ/kg·oC
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C is an intrinsic physical property, like does not depend on amount but only on the substance itself.
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Table 1.7 Specific Heat of Common Substances
(cal/ g·oC) Water 1.00 Stone (avg.) 0.19 Ice 0.49 Iron 0.16 Wood (avg.) 0.42 Copper 0.093 Air 0.24 Brass 0.091 Aluminum 0.22 Tin 0.055 Glass 0.21 Lead 0.031
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Sample Problem How much energy must be absorbed by 20.0 g of water to increase its temperature from 83.0 °C to 94.0 °C?
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Sample Problem The specific heat of iron is 0.16 cal/g·oC. Convert this value to specific heat in J/g·oC.
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Example 1.15, p. 72 A teakettle hold 0.5 liters of water. How much heat is needed to increase the temperature from 20oC to 100oC. Hints: water = 1.00 g/ml; and 0.5L = 500 mL
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Change of State Linear relationship between heat transfer and temperature does NOT hold during a change of state Temperature stays constant during the phase change, i.e. T = 0 during the phase change
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Example for Water Boiling point Melting point/ freezing point Steam
Water and Steam Melting point/ freezing point Water Ice and water Ice
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Melting point (m.p.) – temperature at which a substance melts (or freezes if losing energy).
Boiling point (b.p.) – temperature at which a substance turns to gas (or condenses if losing energy). Heat of fusion, Hf – amount of energy required to melt one gram of solid. Heat of vaporization, Hv – amount of energy required to vaporize one gram of a liquid.
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Table 1.8 Heat of Fusion (Hf) and Vaporization (Hv) of Selected Substances
Hf (cal/g) Hv (cal/g) Water 79.8 540 Iron, Fe 63.7 1503 Copper, Cu 49.0 1212 Silver, Ag 25.0 564 Gold, Au 15.3 392 Lead, Pb 5.9 207 Back to Problem
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Sample Problems Convert the heat of fusion of iron to heat of fusion in kJ/kg. How much heat is required to vaporize 0.5 kg of gold.
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Example 1.17 Melting Ice and Warming Water
A 10.0 g ice cube has a temperature of oC. How much heat is needed to melt the ice cube and warm the resulting water to room temperature (20 oC)?
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Links Virtual experiment: Heating Curves Heating Curve Tutorial
Heating Curve Tutorial Heat Problems
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