Essential University Physics: Volume 2 (3rd Edition)
3rd Edition
ISBN: 9780321976420
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Textbook Question
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?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
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).
Chapter 37 Solutions
Essential University Physics: Volume 2 (3rd Edition)
Ch. 37.1 - Prob. 37.1GICh. 37.2 - If a scientist uses microwave technology to study...Ch. 37.3 - Prob. 37.3GICh. 37 - If you push two atoms together to form a molecule,...Ch. 37 - Prob. 2FTDCh. 37 - Prob. 3FTDCh. 37 - Does it make sense to distinguish individual NaCl...Ch. 37 - Prob. 5FTDCh. 37 - Prob. 6FTDCh. 37 - Radio astronomers have discovered many complex...
Ch. 37 - Prob. 8FTDCh. 37 - Prob. 9FTDCh. 37 - Prob. 10FTDCh. 37 - Prob. 11FTDCh. 37 - Prob. 12FTDCh. 37 - Prob. 13FTDCh. 37 - Prob. 14FTDCh. 37 - Prob. 15FTDCh. 37 - Prob. 16ECh. 37 - Prob. 17ECh. 37 - Prob. 18ECh. 37 - Prob. 19ECh. 37 - Prob. 20ECh. 37 - Prob. 21ECh. 37 - Prob. 22ECh. 37 - Prob. 23ECh. 37 - Prob. 24ECh. 37 - Prob. 25ECh. 37 - Prob. 26ECh. 37 - Prob. 27ECh. 37 - Prob. 28ECh. 37 - Prob. 29PCh. 37 - Prob. 30PCh. 37 - Prob. 31PCh. 37 - Prob. 32PCh. 37 - Prob. 33PCh. 37 - Prob. 34PCh. 37 - Prob. 35PCh. 37 - Prob. 36PCh. 37 - Prob. 37PCh. 37 - Prob. 38PCh. 37 - Prob. 39PCh. 37 - Prob. 40PCh. 37 - Prob. 41PCh. 37 - Prob. 42PCh. 37 - Prob. 43PCh. 37 - Prob. 44PCh. 37 - Prob. 45PCh. 37 - Prob. 46PCh. 37 - Prob. 47PCh. 37 - Prob. 48PCh. 37 - Prob. 49PCh. 37 - Prob. 50PCh. 37 - Prob. 51PCh. 37 - Prob. 52PCh. 37 - Prob. 53PCh. 37 - Prob. 54PCh. 37 - The critical field in a niobium-titanium...Ch. 37 - The transition from the ground state to the first...Ch. 37 - Prob. 57PCh. 37 - Prob. 58PCh. 37 - Youre troubled that Example 37.1 neglects the mass...Ch. 37 - Prob. 60PCh. 37 - The Madelung constant (Section 37.3) is...Ch. 37 - Prob. 62PCh. 37 - (a) Count the number of electron states N(E) with...Ch. 37 - Prob. 64PCh. 37 - Prob. 65PCh. 37 - Prob. 66PCh. 37 - Prob. 67PCh. 37 - Prob. 68PPCh. 37 - Prob. 69PPCh. 37 - Prob. 70PPCh. 37 - Prob. 71PP
Additional Science Textbook Solutions
Find more solutions based on key concepts
61 A 70 kg man’s arm, including the hand, can be modeled as a 75-cm-long uniform cylinder with a mass of 3.5 kg...
College Physics: A Strategic Approach (3rd Edition)
The pV-diagram of the Carnot cycle.
Sears And Zemansky's University Physics With Modern Physics
(a) What is the potential difference going from point a to point b in Figure 21.47? (b) What is the potential d...
College Physics
16.36 Two loudspeakers, A and B (see Fig. E16.35), are driven by the same amplifier and emit sinusoidal waves i...
University Physics (14th Edition)
Dominant Life. While most of us tend to think of ourselves as the dominant form of life on Earth, biologists ge...
Life in the Universe (4th Edition)
Complete the following table about the electromagnetic spectrum.
Glencoe Physical Science 2012 Student Edition (Glencoe Science) (McGraw-Hill Education)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Although an ordinary H2 molecule consists of two identical atoms, this is not the case for the molecule HD, with one atom of deuterium (Le., heavy hydrogen, 2H). Because of its small moment of inertia, the HD molecule has a relatively large value of E: 0.0057 eV. At approximately what temperature would you expect the rotational heat capacity of a gas of HD molecules to "freeze out," that is, to fall significantly below the constant value predicted by the equipartition theorem?arrow_forwardThe gas of oxygen at temperature 100 °C can be treated as ideal gas. (a)What is the internal energy of the gas? (b) what is the average translational kinetic energy for each of the oxygen molecule? (Consider Oxygen as diatomic molecule structure which consists of translational and rotational degree of freedom only. No vibration motion is considered) Boltzmann constant is kg = 1.38 × 10-23J/Karrow_forwardThe 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 kg 1. 38 x 10-231/Karrow_forward
- A rigid tank of volume V = 0.02 m3 contains carbon monoxide at a temperature of T0 = 25° C and a pressure of P0 = 9.00 × 105 Pa. This molecule should be treated as a diatomic ideal gas with active vibrational modes. a)The temperature of the gas increases by 10° C. Calculate the pressure of the gas in pascal at this increased temperature. b)Calculate the change to the internal energy of the gas in joules. c)Calculate the change in the entropy of the gas in joules per kelvin.arrow_forwardGive an example of two polyatomic molecules that have different rotational contributions to internal energy. State the conditions in which the vibrational contribution to internal energy is proportional to the temperature.arrow_forwardHcp structure . Show that the c/a ratio for an ideal hexagonal close- packed structure is (8/3)^1/2 = 1.633 . if c/a is significantly larger than this value , the crystal structure may be thought of as composed of planes of closely packed atoms, the planes being loosely stacked.arrow_forward
- Hcp structure. Show that the c/a ratio for an ideal hexagonal closed-packed structure is () = 1.633. If c/a is significantly larger than this value, the crystal structure may be thought of as composed of planes of closely packed atoms, the planes being loosely stacked.arrow_forwardA molecule in a gas undergoes about 1.0 × 109 collisions in each second. Suppose that (a) every collision is effective in deactivating the molecule rotationally and (b) that one collision in 10 is effective. Calculate the width (in cm-1) of rotational transitions in the molecule.arrow_forwardI'm hoping for a good explanation of how to do this. I'm also wondering why it matters if the configuration is linear or nonlinear? A triatomic molecule can have a linear configuration, as does CO2 (Figure a), or it can be nonlinear, like H2O (Figure b). Suppose the temperature of a gas of triatomic molecules is sufficiently low that vibrational motion is negligible. (a) What is the molar specific heat at constant volume, expressed as a multiple of the universal gas constant (R) if the molecules are linear?Eint/nT = ? (b) What is the molar specific heat at constant volume, expressed as a multiple of the universal gas constant (R) if the molecules are nonlinear?Eint/nT = ? At high temperatures, a triatomic molecule has two modes of vibration, and each contributes 0.5R to the molar specific heat for its kinetic energy and another 0.5R for its potential energy. (c) Identify the high-temperature molar specific heat at constant volume for a triatomic ideal gas of the linear molecules. (Use…arrow_forward
- A molecule in a gas undergoes about 1.0 × 109 collisions in each second. Suppose that (i) every collision is effective in deactivating the molecule rotationally and (ii) that one collision in 10 is effective. Calculate the width (in hertz) of rotational transitions in the molecule.arrow_forwardS² = 4f² cos² TC h+2k 3 + Prove that the composition factor of the Zn unit cell of the hexagonal compact structure HCP, which coordinates | The atoms in it are (1/3,2/3,1/2), (0,0,0) given by the relationshiparrow_forwardThe characteristic rotational energy for a diatomic molecule consisting of two idential atoms of mass 14 u (unified mass units) is 3.68 e-4 eV. Calculate the separation distance between the two atoms. Subarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningModern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
The Laws of Thermodynamics, Entropy, and Gibbs Free Energy; Author: Professor Dave Explains;https://www.youtube.com/watch?v=8N1BxHgsoOw;License: Standard YouTube License, CC-BY