Essential University Physics: Volume 2 (3rd Edition)
Essential University Physics: Volume 2 (3rd Edition)
3rd Edition
ISBN: 9780321976420
Author: Richard Wolfson
Publisher: PEARSON
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Chapter 37, Problem 56P

The transition from the ground state to the first rotational excited state in diatomic oxygen (O2) requires 356 μeV. At what temperature would the thermal energy kT be sufficient to set diatomic oxygen into rotation? Would you ever find diatomic oxygen exhibiting the specific heat of a monatomic gas at normal pressure?

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The air is a gas mixture of oxygen, carbon dioxide, and Nitrogen. If the air can be treated as ideal gas at temperature 100 °C, what is the average kinetic energy for each of the molecule in air?(Consider Oxygen, Nitrogen, and carbon dioxide as diatomic molecule structure which consist of translational and rotational degree of freedom only. No vibration motion is considered) Boltzmann constant is kB = 1. 38 x 10 23 J/K
N 2  has a molecular weight of 28.02 g/mol a bit larger than that of a Ne atom, 20.18 g/mol. (a) At a particular temperature, Z trans= 1.90 x 10 26 for Ne in a specific container. What is the translational partition function for a N2 molecule in this container at the same temperature? (b) At 100 K, the rotational partition function for N2is found to be 17.39. What would you expect it to be at 500 K?
A room temperature gas of non interacting HF molecules are confined to a bottle with dimensions of approximately 10 cm by 1 cm by 1cm. Compute the N2/N1 Boltzmann weights for the vibrational, rotational, and translational motions of the gas. Assume a particle in a 1D box for translational (L=1 cm). Assume a particle-in-a-ring for rotations (also assume the fluorine atom is at the center of mass and that the bond length is 1 Angstrom). Assume a harmonic oscillator model for vibrations (the vibrational frequency of HF is approximately 3900 cm-1).

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Essential University Physics: Volume 2 (3rd Edition)

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