Equipart

# Equipart - Non-linear 3N – 6 vibrations Heat Capacity...

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Colby College Equipartition Theorem Goal Predict U and C v for gases translation rotation vibration x y z kinetic only kinetic only kinetic and potential p 2 2m J 2 2I p 2 2m + 1 2 kx 2 monatomic gas experimental U = 3/2 RT or C v = ( U T ) V = 3/2R 1/2 R for each quadratic term in the energy Number of Vibrations: Linear Molecules 3N - 3 - 2 = 3N-5 total coordinates specify center rotation: linear of mass molecules
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Unformatted text preview: Non-linear 3N – 6 vibrations Heat Capacity Predictions from Equipartition, Cv. Molecule translation rotation vibration total total – vib experiment experiment Ar 3/2R 3/2R 3/2R 12.5 J/K 3/2R N 2 3/2R 2/2R 2/2R 7/2R 5/2R 20.8 5/2R Cl 2 3/2R 2/2R 2/2R 7/2R 5/2R 25.6 6/2R O 3 3/2R 3/2R 3(2/2R) 12/2R 6/2R 30.9 7.4/2R H 2 O 3/2R 3/2R 3(2/2R) 12/2R 6/2R 25.3 6.1/2R...
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