5 JK 32R 32R 22R 22R 72R 52R 208 52R Cl 32R 22R 22R 72R 52R 256 62R 32R 32R 322R 122R 62R 309 742R O 32R 32R 322R 122R 62R 253 612R ID: 84281
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Colby College Equipartition Theorem Goal Predict U and C translation rotation vibration xyz kinetic only kinetic only kinetic and potential 2 kx monatomic gas experimental U = 3/2 RT or C = 3/2R 1/2 R for each quadratic term in the energy 3N 3 2 = 3N-5 total coordinates specify center rotation: linear of mass molecules Non-linear 3N 6 vibrations Heat Capacity Predictions from Equipartition, C 3/2R 2/2R 2/2R 7/2R 5/2R 20.8 5/2R 3/2R 2/2R 2/2R 7/2R 5/2R 25.6 6/2R 3/2R 3/2R 3(2/2R) 12/2R 6/2R 30.9 7.4/2R O 3/2R 3/2R 3(2/2R) 12/2R 6/2R 25.3 6.1/2R