Physical Chemistry
2nd Edition
ISBN: 9781133958437
Author: Ball, David W. (david Warren), BAER, Tomas
Publisher: Wadsworth Cengage Learning,
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 14, Problem 14.22E
Interpretation Introduction
Interpretation:
The values for the first five rotational energy levels of ethane,
Concept introduction:
The energy levels inside a molecules that represents the various possible methods by which a part of a molecule revolves around the bond present between the atoms is known as rotational energy level.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A 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 cm³¹) of rotational transitions in the molecule.
(c)
When a gas is expanded very rapidly, its temperature can fall to a few degrees Kelvin. At these
low temperatures, unusual molecules like ArHCl (Argon weakly bonded to HCl) can form on
mixing.
For the isotopic species Ar H$CI, the following rotational transitions were observed:
J (1 → 2): 6714.44 MHz
J (2 → 3): 10068.90 MHz
Assume the molecule can be treated as a linear diatomic molecule (ArCl).
(i) Calculate the rotational constant (B) and centrifugal distortion (D) constant for this molecule.
Consider the rotational spectrum of a linear molecule at 298 K with a moment of inertia of 1.23×10−461.23\times10^{-46}1.23×10−46 kg m2 .
(a) What is the frequency for the transition from J = 2 to J = 3?
(b) What is the most populated rotational level for this molecule? Would the transition in (a) give the most intense signal in the rotational spectrum?
Chapter 14 Solutions
Physical Chemistry
Ch. 14 - Prob. 14.1ECh. 14 - Determine if the following integrals can be...Ch. 14 - What is the frequency of light having the...Ch. 14 - What is the wavelength of light having the given...Ch. 14 - What is the energy of light having each...Ch. 14 - The Cu(H2O)62+ complex has octahedral symmetry. Is...Ch. 14 - What are the wavelength, speed, and energy of a...Ch. 14 - Prob. 14.8ECh. 14 - Prob. 14.9ECh. 14 - Prob. 14.10E
Ch. 14 - Prob. 14.11ECh. 14 - Prob. 14.12ECh. 14 - Prob. 14.13ECh. 14 - Prob. 14.14ECh. 14 - Diatomic sulfur, S2, was detected in the tail of...Ch. 14 - Prob. 14.16ECh. 14 - Prob. 14.17ECh. 14 - Prob. 14.18ECh. 14 - Prob. 14.19ECh. 14 - Prob. 14.20ECh. 14 - Prob. 14.21ECh. 14 - Prob. 14.22ECh. 14 - Which of the following molecules should have pure...Ch. 14 - Which of the following molecules should have pure...Ch. 14 - The following are sets of rotational quantum...Ch. 14 - The following are sets of rotational quantum...Ch. 14 - Derive equation 14.21 from the E expression...Ch. 14 - Prob. 14.28ECh. 14 - Prob. 14.29ECh. 14 - Lithium hydride, 7Li1H, is a potential fuel for...Ch. 14 - Prob. 14.31ECh. 14 - Prob. 14.32ECh. 14 - Prob. 14.33ECh. 14 - Prob. 14.34ECh. 14 - Prob. 14.35ECh. 14 - Prob. 14.36ECh. 14 - From the data in Table 14.2, predict B for DCl D...Ch. 14 - A colleague states that the pure rotational...Ch. 14 - Prob. 14.39ECh. 14 - Prob. 14.40ECh. 14 - Prob. 14.41ECh. 14 - Prob. 14.42ECh. 14 - Prob. 14.43ECh. 14 - Determine E for J=20J=21 for HBr assuming it acts...Ch. 14 - Determine the number of total degrees of freedom...Ch. 14 - Determine the number of total degrees of freedom...Ch. 14 - Prob. 14.47ECh. 14 - Prob. 14.48ECh. 14 - Prob. 14.49ECh. 14 - Prob. 14.50ECh. 14 - Prob. 14.51ECh. 14 - Prob. 14.52ECh. 14 - Prob. 14.53ECh. 14 - Prob. 14.54ECh. 14 - Prob. 14.55ECh. 14 - Prob. 14.56ECh. 14 - Prob. 14.57ECh. 14 - Prob. 14.58ECh. 14 - Prob. 14.59ECh. 14 - Prob. 14.60ECh. 14 - Prob. 14.61ECh. 14 - Prob. 14.62ECh. 14 - Prob. 14.63ECh. 14 - Prob. 14.64ECh. 14 - Prob. 14.65ECh. 14 - Prob. 14.66ECh. 14 - Prob. 14.68ECh. 14 - Prob. 14.69ECh. 14 - Prob. 14.70ECh. 14 - Prob. 14.71ECh. 14 - Prob. 14.72ECh. 14 - Prob. 14.73ECh. 14 - Prob. 14.74ECh. 14 - Prob. 14.75ECh. 14 - Prob. 14.76ECh. 14 - Prob. 14.77ECh. 14 - Prob. 14.78ECh. 14 - Prob. 14.79ECh. 14 - Prob. 14.80ECh. 14 - Prob. 14.81ECh. 14 - Prob. 14.82ECh. 14 - Prob. 14.83ECh. 14 - Prob. 14.84ECh. 14 - Prob. 14.85ECh. 14 - Dioctyl sulfide, (C8H17)2S, and hexadecane,...Ch. 14 - Where would you expect vibrations for ethyl...Ch. 14 - Prob. 14.88ECh. 14 - Prob. 14.89ECh. 14 - Prob. 14.90ECh. 14 - Prob. 14.91ECh. 14 - Prob. 14.92ECh. 14 - Prob. 14.93ECh. 14 - Prob. 14.94ECh. 14 - The mutual exclusion rule states that for certain...Ch. 14 - Prob. 14.96ECh. 14 - Prob. 14.97ECh. 14 - Prob. 14.98ECh. 14 - Prob. 14.99ECh. 14 - Construct and compare the energy level diagrams...Ch. 14 - Prob. 14.101E
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.Similar questions
- Calculate the rotational constant (B) for the molecule H12C14N, given that the H-C and C-N bond distances are 106.6 pm and 115.3 pm respectively.arrow_forwardConsider the diatomic molecule AB modeled as a rigid rotor (two masses separated by a fixed distance equal to the bond length of the molecule). The rotational constant of the diatomic AB is 25.5263 cm-1. (a) What is the difference in energy, expressed in wavenumbers, between the energy levels of AB with J = 10 and J = 6? (b) Consider now a diatomic A'B', for which the atomic masses are ma 0.85 mA and mB' 0.85 mB and for its bond length ra'B' = 0.913 rAB. What is the difference in energy, expressed in wavenumbers, between the energy levels of the A'B' molecule with J = 9 and J = 7?arrow_forwardThe 14 N160 molecule undergoes a transition between its rotational ground state and its rotational first excited state. Approximating the diatomic molecule as a rigid rotor, and given that the bond length of NO is 1.152 Angstroms, calculate the energy of the transition. As your final answer, calculate the temperature T in Kelvin, such that Ethermal = kBT equals the %3D energy of the transition between NO's rotational ground state and fırst excited state.arrow_forward
- The J = 0 to J = 1 rotational transition of the CO molecule occurs at a frequency of 1.15 x 1011 Hz.(A) Use this information to calculate the moment of inertia of the molecule. (B) Calculate the bond length of the molecule.arrow_forwardA molecule in a liquid undergoes about 1.0 × 1013 collisions in each second. Suppose that (i) every collision is effective in deactivating the molecule vibrationally and (ii) that one collision in 100 is effective. Calculate the width (in cm−1) of vibrational transitions in the molecule.arrow_forwardThe vibrational wavenumber of the oxygen molecule in its electronic ground state is 1580 cm−1, whereas that in the excited state (B 3Σu−), to which there is an allowed electronic transition, is 700 cm−1. Given that the separation in energy between the minima in their respective potential energy curves of these two electronic states is 6.175 eV, what is the wavenumber of the lowest energy transition in the band of transitions originating from the v = 0 vibrational state of the electronic ground state to this excited state? Ignore any rotational structure or anharmonicity.arrow_forward
- The rotational constant for CO is 1.9314 cm−1 and 1.6116 cm−1 in the ground and first excited vibrational states, respectively. By how much does the internuclear distance change as a result of this transition?arrow_forwardCalculate the rotational energy of CO at J=2 given a bond length of 1.0 Å. unit in eV.arrow_forwardRotational spectra are affected slightly by the fact that different isotopes have different masses. Suppose a sample of the common isotope 1H35Cl is changed to 1H37Cl. (a) By what fraction is the molecule’s rotational inertia different? (The bond length is 0.127 nm in each case.) (b) What is the change in energy of theℓ = 1 to theℓ = 0 transition if the isotope is changed?arrow_forward
- The rotational constant for the molecule 1H35Cl is B = 10.60 cm-1. Using Boltzmann statistics, determine the most likely rotational state J that such a molecule would be expected to have at a temperature of 300 K.arrow_forwardCalculate the ratio of the populations in the first two rotational energy levels of carbon monoxide, the lowest J=0 energy level and the higher J = 1 energy level, at 300 K if the energy difference between the levels is 3.8 cm-1and the degeneracies gJ of the two levels are g0 = 1 and g1 = 3, respectively. (You will see in Section 20.3 that there are 2J 1 1 rotational quantum states at each energy level EJ.)arrow_forwardPure rotational Raman spectra of gaseous C6H6 and C6D6 yield the following rotational constants: ᷉ B(C6H6) = 0.189 60 cm−1, ᷉ B(C6D6) = 0.156 81 cm−1. The moments of inertia of the molecules about any axis perpendicular to the C6 axis were calculated from these data as I(C6H6) = 1.4759 × 10−45 kg m2, I(C6D6) = 1.7845 × 10−45 kgm2. Calculate the CC and CH bond lengths.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physical ChemistryChemistryISBN:9781133958437Author:Ball, David W. (david Warren), BAER, TomasPublisher:Wadsworth Cengage Learning,
Physical Chemistry
Chemistry
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Wadsworth Cengage Learning,
The Bohr Model of the atom and Atomic Emission Spectra: Atomic Structure tutorial | Crash Chemistry; Author: Crash Chemistry Academy;https://www.youtube.com/watch?v=apuWi_Fbtys;License: Standard YouTube License, CC-BY