Question 2 (1 point) A diatomic molecule such as O2 rotates around its axis, and this motion is quantized. The quantum number is J (J= 1, 2...) and the energy is given by the expression E = BJ (J+1) Where B is a constant number (units of energy) that depends on the structure of the diatomic molecule. For our purposes, what we need to realise is that the rotation energy levels have energies as follows: E₁ = 2B, E2 = 6B, E3 = 12B, E4 = 20B etc. Three molecules of O2 have 24B of rotational energy available to them. What is Wrot (number of rotational states available) for such a system? 8 6" 1 3 2

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter29: Atomic Physics
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Question 2 (1 point)
A diatomic molecule such as O2 rotates around its axis, and this motion is quantized. The quantum number
is J (J= 1, 2...) and the energy is given by the expression
E = BJ (J+1)
Where B is a constant number (units of energy) that depends on the structure of the diatomic molecule. For
our purposes, what we need to realise is that the rotation energy levels have energies as follows: E₁ = 2B,
E2 = 6B, E3 = 12B, E4 = 20B etc.
Three molecules of O2 have 24B of rotational energy available to them. What is Wrot (number of rotational
states available) for such a system?
8
6"
1
3
2
Transcribed Image Text:Question 2 (1 point) A diatomic molecule such as O2 rotates around its axis, and this motion is quantized. The quantum number is J (J= 1, 2...) and the energy is given by the expression E = BJ (J+1) Where B is a constant number (units of energy) that depends on the structure of the diatomic molecule. For our purposes, what we need to realise is that the rotation energy levels have energies as follows: E₁ = 2B, E2 = 6B, E3 = 12B, E4 = 20B etc. Three molecules of O2 have 24B of rotational energy available to them. What is Wrot (number of rotational states available) for such a system? 8 6" 1 3 2
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