Heat Capacity of Gas of N Diatomic Molecules Hydrogen H, molecules have high vibration energies Freeze-out of Freeze-out of Heat capacity rotations vibrations Nk 2/ר Vibrations 5/2 Nk Rotations 3/2 Nk Translations 10 100 1000 Temnerature (K)
The last slide of the video on applications of the Boltzmann distribution describes the behavior of vibrations and rotations of hydrogen (H2) molecules in a gas at thermal equilibrium.
Choose the correct statements below.
a. |
The energy separation between rotational energy levels is the same as the separation between vibrational energy levels. |
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b. |
Hydrogen molecules in a gas will rotate if the temperature is in the range 100 K < T < 1000 K, but not outside that range. |
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c. |
The thermal energy is smaller than the energy difference between vibrational energy levels for T >> 1000 K. |
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d. |
Vibrational energy levels are separated by an energy ε ≈ 1000 k. |
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e. |
Most hydrogen molecules in a gas at 2000 K are vibrating, but most do not vibrate at 500 K. |
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Hydrogen H, molecules have high vibration energies
Freeze-out of
Freeze-out of
Heat capacity
rotations
vibrations
Nk 2/ר
Vibrations
5/2 Nk
Rotations
3/2 Nk
Translations
10
100
1000
Temperature (K)"
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