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Unformatted text preview: Physics II: Heat & Electromagnetism today: Kinetic theory wrap-up 1st Law of Thermodynamics C V & C P of an ideal gas Paths on the pV diagram Physics 213 Sept. 7, 2006 5.1 Translational Kinetic Energy and T Last time: pV=Nk B T (ideal gas law) pV=Nmv 2 rms /3 (kinetic theory) Total translational kinetic energy: K trans = ! Nmv 2 rms Physics 213 Sept. 7, 2006 5.2 Heat capacity of our simple ideal gas , so Molar heat capacity at constant volume is C V : At constant volume, the heat just increases the internal energy ( dQ = dK ), so: Physics 213 Sept. 7, 2006 5.3 Experimental Data Equipartition of Energy Theorem Each quadratic energy term (d f = degree of freedom) KE= ! mv i 2, or PE= ! kx i 2 for a molecule receives an average thermal energy of ! k B T ( ! RT/mole) Monatomic molecules: Diatomic molecules: Physics 213 Sept. 7, 2006 5.4 C V = d f 2 R First law of thermodynamics: U = internal energy of the system Q = heat (energy) transferred to the system...
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