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
Question
Chapter 14, Problem 14.56E
Interpretation Introduction
Interpretation:
The
Concept introduction:
Infrared spectroscopy (also known as vibrational spectroscopy) is observed due to vibration of the molecule because the energy carried out by IR rays is equivalent to the energy required for the vibration of the molecule. Selection rule for the IR spectroscopy is
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The C-H bond in ethanol vibrates at a
frequency of 3000 cm ¹. What frequency (s
1) of light is required to change the
vibrational quantum number from v=0 to
v=1, assuming that C-H acts as a harmonic
oscillator.
An aqueous solution of chloroethanoic acid at 25oC is irradiated with light of wavelength 253.7 nm. As a consequence, a photochemical reaction occurs where 2-hydroxyethanoic acid and hydrogen chloride are obtained. It is observed that when 34.37 J are absorbed, 2.325·10-5 moles of chlorine ion are formed.
a) Wwtermine the number of Einsteins absorbed
c) calculate the quantum yield of the reaction.
A molecule can have various types of energies (translational, rotational, vibrational, and electronic), the sum of which is the
molecule's total energy.
E trans = (n +n + n²)
Erot = J (J + 1)
h²
87²1
Evib = (U+ 1 ) h
hv
h²
8mV (2/3)
In the equations, nx, ny, nz, J, and u are quantum numbers, h is Planck's constant, m is the mass of the molecule, V is the
volume of the container, I is the moment of inertia of the molecule, and v is the fundamental vibration frequency.
For carbon monoxide, CO, the moment of inertia is I = 1.45 x 10-46 kg-m², and the fundamental vibration frequency is
v = 2130 cm-¹. Let V = 12.5 L, and let all the quantum numbers be equal to 1.
Calculate the translational, rotational, and vibrational energies per mole of CO for these conditions.
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
Similar questions
- Would the light from fireflies be considered an example of a fluorescence or a phosphorescence process?arrow_forwardChapter 3 introduced the concept of a double bond between carbon atoms, represented by C=C , with a length near 1.34 Å. The motion of an electron in such a bond can be treated crudely as motion in a one-dimensional box. Calculate the energy of an electron in each of its three lowest allowed states if it is confined to move in a one-dimensional box of length 1.34 Å. Calculate the wavelength of light necessary to excite the electron from its ground state to the first excited state.arrow_forwardAssume that for ¹H35 Cl molecule the rotational quantum number J is 11 and vibrational quantum number n = 0. The isotopic mass of ¹H atom is 1.0078 amu and the isotopic mass of 35 C1 atom is 34.9688 amu, k = 516 N · m¯¹, and x = 127.5 pm. Part E Calculate the period for vibration. Express your answer in seconds to three significant figures. Tvibrational = Part F Submit Previous Answers 1.12x10-14 s Correct Correct answer is shown. Your answer 1.1181.10-¹4 = 1.1181x10-14s was either rounded differently or used a different number of significant figures than required for this part. Calculate the period for rotation. Express your answer in seconds to four significant figures. Trotational = ΑΣΦ W ? Sarrow_forward
- P 9arrow_forwardThe electronic spectrum of the molecule butadiene, H2C=CH–CH=CH2, can be approximated using the one-dimensional particle-in-a-box if one assumes that the conjugated double bonds span the entire four-carbon chain. If the electron absorbing a photon having wavelength 217 nm is going from the level n =2 to the level n =3, what is the approximate length of the C4H6 molecule?arrow_forwardNeutrons, like electrons and photons, are particle-waves whose diffraction patterns can be used to determine the structures of molecules. Calculate the kinetic energy (in J) of a neutron with wavelength 51.1 pm.arrow_forward
- In an X-ray photoelectron experiment. a photon of wavelength 100 pm ejects an electron from the inner shell of an atom and it emerges with a speed of 2.34 x 104 km s-1. Calculate the binding energy of the electron.arrow_forwardThe vibrational frequency of the hydrogen chloride HCl diatomic molecule is 8.97 x 1013Hz. chloride atom is 35.5 times more massive than hydrogen atom. (mµ = 1.67 x 0-27kg,c = 3.0 x 10°m/s) a) What is the force constant of the molecular bond between the hydrogen and the chloride atoms? b) What is the energy of the emitted photon when this molecule makes a transition between adjacent vibrational energy levels? c) What is the wavelength of the emitted photon? d) The possible wavelengths of photons emitted with the HCl molecule decays from the 2nd excited state eventually to the ground state(0 state).arrow_forwardIt takes 463./kJmol to break an oxygen-hydrogen single bond. Calculate the maximum wavelength of light for which an oxygen-hydrogen single bond could be broken by absorbing a single photon. Be sure your answer has the correct number of significant digits.arrow_forward
- Butadiene can be roughly modeled as a linear “box” with L = 0.424 nm. There are four electrons, two of which can go in each particle in a box state (two electrons in nX= 1; two electrons in nX= 2). The lowest excitation involves promoting an electron from nX= 2 to nX= 3. What is the energy of that excitation?arrow_forwardWhat is the threshold frequency ν0ν0nu_0 of cesium? Note that 1 eV (electron volt)=1.60×10−19 J.arrow_forwardIt takes 163./kJmol to break an nitrogen-nitrogen single bond. Calculate the maximum wavelength of light for which an nitrogen-nitrogen single bond could be broken by absorbing a single photon. Be sure your answer has the correct number of significant digits.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,Principles of Modern ChemistryChemistryISBN:9781305079113Author:David W. Oxtoby, H. Pat Gillis, Laurie J. ButlerPublisher:Cengage Learning
Physical Chemistry
Chemistry
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Wadsworth Cengage Learning,
Principles of Modern Chemistry
Chemistry
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:Cengage Learning