57 lines
1.5 KiB
Plaintext
57 lines
1.5 KiB
Plaintext
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Hawking Radiation:
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A Violation of the Zeroth Law of Thermodynamics
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Spring 2018 Meeting of the APS New England Section
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March 16-17, 2018
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Suffolk University,
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Boston, MA
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Pierre-Marie Robitaille
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Department of Radiology
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The Ohio State University
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Columbus, Ohio 43210
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Zeroth Law of Thermodynamics
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A ↔ B and B ↔ C
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Then...
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A↔C
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But the law also implies that temperature is an intensive property.
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The temperature of an object cannot depend
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on extensive properties which in combination do not yield
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an intensive property.
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Intensive versus Extensive Properties
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Intensive Properties Extensive Properties
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Temperature Mass
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Pressure Energy
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Density Enthalpy
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Concentration Entropy
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Specific Volume Volume
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Color Heat Capacity
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Some properties are neither intensive nor extensive
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(e.g. radius of a sphere, area of a sphere)
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Intensive versus Extensive Properties
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The concept of intensive and extensive properties is so
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important that Peter Landsberg wanted to establish it as
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The 4th Law of thermodynamics
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P.T. Landsberg, Thermodynamics with Quantum Statistical
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Illustrations, Interscience Publishers, New York, 1961, p. 142.
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Equations: Intensive versus Extensive Properties
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“If one side of an equation is extensive (or intensive),
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then so must be the other side”
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S.G. Canagaratna
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Intensive and Extensive Properties: Underused Concepts,
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J. Chem. Educ., 1992, v. 69, no. 12, 957-963.
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Ideal Gas Law (P in terms of intensive properties)
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Entropy of a Black Hole
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Hawking Temperature
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