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)

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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.

  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.

  c.

The thermal energy is smaller than the energy difference between vibrational energy levels for T >> 1000 K.

  d.

Vibrational energy levels are separated by an energy ε ≈ 1000 k.

  e.

Most hydrogen molecules in a gas at 2000 K are vibrating, but most do not vibrate at 500 K.

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
Temperature (K)
Transcribed Image Text: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 Temperature (K)
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