Equipartition_of_Energy

# Equipartition_of_Energy - = and V V T U C ∂ ∂ = For 1...

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1 Equipartition of Energy The energy of a molecule is equally divided among all types of motion or degrees of freedom For 1 mole of a diatomic gas: RT RT RT RT U 2 7 2 3 = + + = molar internal energy = translation + rotation + vibration

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2 It is easier to excite a molecule to a higher rotational level than to a higher vibrational or electronic energy level. The ratio of the population in any two energy levels E 2 and E 1 is given by the Boltzmann distribution law T k E B e N N = 1 2 The number of the molecules in the upper level are always less than in the lower level
3 Molar heat capactity: n C C V V /

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Unformatted text preview: = and V V T U C ∂ ∂ = For 1 mole of monoaromic gas: 1 1 47 . 12 2 3 ) 2 3 ( − − = = ∂ ∂ = mol JK R T RT C V v For 1 mole of diatomic gas: 1 1 10 . 29 2 7 ) 2 7 ( − − = = ∂ ∂ = mol JK R T RT C V v If we neglect the vibrational part then RT RT RT U 2 5 2 3 = + = and 1 1 79 . 20 2 5 ) 2 5 ( − − = = ∂ ∂ = mol JK R T RT C V v for a diatomic gas 4...
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Equipartition_of_Energy - = and V V T U C ∂ ∂ = For 1...

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