EBK CHEMICAL PRINCIPLES
8th Edition
ISBN: 9781305856745
Author: DECOSTE
Publisher: CENGAGE LEARNING - CONSIGNMENT
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 12, Problem 61E
Which has the lowest (ground-state) energy, an electrontrapped in a one-dimensional box of length
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
An electron is trapped in the first excited state (n = 2) inside a box one-dimensional of length 1.0 nm. What is the probability of finding this electron between the positions 0.50 and 0.70 nm?
This question pertains to electronic transitions in a (light) multielectron atom.
What are the selection rules for these transitions?
The ground-state electron configuration for Zr2+ is [Kr]3d2. What are the possible values for the total orbital angular momentum for this species?
For Zr2+, write the term symbol that represents the lowest energy
Within the term symbol, you wrote in part c, which level of that term has the lowest energy? How many states belong to that lowest level?
Classify the following three transitions as forbidden or allowed in the emission spectrum of a multielectron atom: 3D2 ->3P1 3P2 ->1S0 3F4 ->3D3
Which of the following transitions between terms are allowed in the electronic emission spectrum of a many-electron atom: (i) 3D2 → 3P1, (ii) 3P2 → 1S0, (iii) 3F4 → 3D3?
Chapter 12 Solutions
EBK CHEMICAL PRINCIPLES
Ch. 12 - Prob. 1DQCh. 12 - Prob. 2DQCh. 12 - Prob. 3DQCh. 12 - The first four ionization energies for elements X...Ch. 12 - Prob. 5DQCh. 12 - Prob. 6DQCh. 12 - Prob. 7DQCh. 12 - Prob. 8DQCh. 12 - Prob. 9DQCh. 12 - Prob. 10DQ
Ch. 12 - Prob. 11DQCh. 12 - Prob. 12DQCh. 12 - Prob. 13DQCh. 12 - Prob. 14DQCh. 12 - Prob. 15DQCh. 12 - Prob. 16DQCh. 12 - Prob. 17DQCh. 12 - Is the following statement true or false: The...Ch. 12 - Which is higher in energy: the 2s or 2p orbital in...Ch. 12 - Prove mathematically that it is more energetically...Ch. 12 - Microwave radiation has a wavelength on the order...Ch. 12 - Consider the following waves representing...Ch. 12 - Prob. 23ECh. 12 - Human color vision is “produced” by the nervous...Ch. 12 - One type of electromagnetic radiation has a...Ch. 12 - Carbon absorbs energy at a wavelength of 150. nm....Ch. 12 - Prob. 27ECh. 12 - X rays have wavelengths on the order of 110-10m...Ch. 12 - The work function of an element is the energy...Ch. 12 - Ionization energy is the energy required to remove...Ch. 12 - It takes 208.4 kJ of energy to remove 1 mole of...Ch. 12 - What experimental evidence supports the quantum...Ch. 12 - Explain the photoelectric effect.Ch. 12 - Calculate the de Broglie wavelength for each of...Ch. 12 - Neutron diffraction is used in determining the...Ch. 12 - Calculate the velocities of electrons with de...Ch. 12 - An atom of a particular element is traveling at 1%...Ch. 12 - Characterize the Bohr model of the atom. In the...Ch. 12 - Prob. 39ECh. 12 - Consider only the transitions involving the first...Ch. 12 - Calculate the longest and shortest wavelengths of...Ch. 12 - Prob. 42ECh. 12 - Assume that a hydrogen atom’s electron has been...Ch. 12 - What is the maximum wavelength of light capable...Ch. 12 - An electron is excited from the ground state to...Ch. 12 - Does a photon of visible light (=400700nm)...Ch. 12 - An excited hydrogen atom emits light with a...Ch. 12 - An excited hydrogen atom with an electron in the n...Ch. 12 - Consider an electron for a hydrogen atom in an...Ch. 12 - Prob. 50ECh. 12 - One of the emission spectral lines for Be3+ has a...Ch. 12 - The Heisenberg uncertainty principle can be...Ch. 12 - Using the Heisenberg uncertainty principle,...Ch. 12 - We can represent both probability and radial...Ch. 12 - Prob. 55ECh. 12 - Calculate the wavelength of the electromagnetic...Ch. 12 - An electron in a one-dimensional box requires a...Ch. 12 - An electron in a 10.0-nm one-dimensional box is...Ch. 12 - Prob. 59ECh. 12 - What is the total probability of finding a...Ch. 12 - Which has the lowest (ground-state) energy, an...Ch. 12 - What are quantum numbers? What information do...Ch. 12 - How do 2p orbitals differ from each other? How do...Ch. 12 - Identify each of the following orbitals, and...Ch. 12 - Which of the following orbital designations are...Ch. 12 - Prob. 66ECh. 12 - The following sets of quantum numbers are not...Ch. 12 - How many orbitals can have the designation 5p,...Ch. 12 - How many electrons in an atom can have the...Ch. 12 - Prob. 70ECh. 12 - Prob. 71ECh. 12 - From the diagrams of 2p and 3p orbitals in Fig....Ch. 12 - Prob. 73ECh. 12 - Prob. 74ECh. 12 - Total radial probability distributions for the...Ch. 12 - The relative orbital levels for the hydrogen atom...Ch. 12 - What is the difference between core electrons and...Ch. 12 - Prob. 78ECh. 12 - Prob. 79ECh. 12 - The elements of Si, Ga, As, Ge, Al, Cd, S, and Se...Ch. 12 - Write the expected electron configurations for the...Ch. 12 - Write the expected electron configurations for...Ch. 12 - Prob. 83ECh. 12 - Using Fig. 12.29, list elements (ignore the...Ch. 12 - Prob. 85ECh. 12 - Prob. 86ECh. 12 - Prob. 87ECh. 12 - Prob. 88ECh. 12 - Prob. 89ECh. 12 - Prob. 90ECh. 12 - Prob. 91ECh. 12 - Prob. 92ECh. 12 - Prob. 93ECh. 12 - Prob. 94ECh. 12 - Prob. 95ECh. 12 - A certain oxygen atom has the electron...Ch. 12 - Prob. 97ECh. 12 - Prob. 98ECh. 12 - Prob. 99ECh. 12 - Explain why the first ionization energy tends to...Ch. 12 - Prob. 101ECh. 12 - The radius trend and the ionization energy trend...Ch. 12 - Prob. 103ECh. 12 - Prob. 104ECh. 12 - In each of the following sets, which atom or ion...Ch. 12 - Prob. 106ECh. 12 - Prob. 107ECh. 12 - Prob. 108ECh. 12 - Prob. 109ECh. 12 - Prob. 110ECh. 12 - Prob. 111ECh. 12 - Consider the following ionization energies for...Ch. 12 - Prob. 113ECh. 12 - Prob. 114ECh. 12 - Prob. 115ECh. 12 - Prob. 116ECh. 12 - Prob. 117ECh. 12 - Prob. 118ECh. 12 - Prob. 119ECh. 12 - Prob. 120ECh. 12 - Prob. 121ECh. 12 - Prob. 122ECh. 12 - Prob. 123ECh. 12 - Prob. 124ECh. 12 - Prob. 125ECh. 12 - Prob. 126ECh. 12 - Prob. 127ECh. 12 - Prob. 128AECh. 12 - Prob. 129AECh. 12 - Prob. 130AECh. 12 - Prob. 131AECh. 12 - Prob. 132AECh. 12 - Prob. 133AECh. 12 - Prob. 134AECh. 12 - Prob. 135AECh. 12 - Prob. 136AECh. 12 - Prob. 137AECh. 12 - Prob. 138AECh. 12 - Prob. 139AECh. 12 - An unknown element is a nonmetal and has a...Ch. 12 - Prob. 141AECh. 12 - Using data from this chapter, calculate the change...Ch. 12 - Answer the following questions, assuming that ms...Ch. 12 - Prob. 144AECh. 12 - Prob. 145AECh. 12 - Prob. 146AECh. 12 - The figure below represents part of the emission...Ch. 12 - Prob. 148AECh. 12 - Prob. 149AECh. 12 - Prob. 150AECh. 12 - Prob. 151AECh. 12 - Prob. 152AECh. 12 - Prob. 153AECh. 12 - Identify the following three elements. a. The...Ch. 12 - Prob. 155AECh. 12 - Prob. 156AECh. 12 - Prob. 157AECh. 12 - Prob. 158CPCh. 12 - The ground state ionization energy for the one...Ch. 12 - When the excited electron in a hydrogen atom falls...Ch. 12 - Prob. 161CPCh. 12 - The following numbers are the ratios of second...Ch. 12 - Prob. 163CPCh. 12 - Prob. 164CPCh. 12 - Prob. 165CPCh. 12 - Prob. 166CPCh. 12 - The ionization energy for a 1s electron in a...Ch. 12 - Without looking at data in the text, sketch a...
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
- The Lyman series of spectral lines for the H atom, in the ultraviolet region, arises from transitions from higher levels to n = 1. Calculate the frequency and wavelength of the least energetic line in this series.arrow_forwardThe ionization energy of rubidium is 403 kJ/mol. Do x-rays with a wavelength of 85 nm have sufficient energy to ionize rubidium?arrow_forwardWhat experimental evidence supports the quantum theory of light? Explain the wave-particle duality of all matter .. For what size particles must one consider both the wave and the particle properties?arrow_forward
- • identify an orbital (as 1s, 3p, etc.) from its quantum numbers, or vice versa.arrow_forwardEstimate the probability of finding an electron which is excited into the 2s orbital of the H atom, looking in a cubical box of volume 0.751036m3 centered at the nucleus. Then estimate the probability of finding the electron if you move the volume searched to a distance of 105.8 pm from the nucleus in the positive z direction. (Note that since these volumes are small, it does not matter whether the volume searched is cubical or spherical.)arrow_forward(a) Use the radial wave function for the 3p orbital of a hydrogen atom (see Table 5.2) to calculate the value of r for which a node exists. (b) Find the values of r for which nodes exist for the 3s wave function of the hydrogen atom.arrow_forward
- 6.9 If a string of decorative lights includes bulbs with wave-lengths of 480, 580, and 700 mm, what are the frequencies of the lights? Use Figure 6.6 to determine which colors are in the set.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_forwardSuppose that the spin quantum number did not exist, and therefore only one electron could occupy each orbital of a many-electron atom. Give the atomic numbers of the first three noble-gas atoms in this case.arrow_forward
- Suppose that the spin quantum number had three allowed values (ms=0,+12,12) . Give the atomic numbers of the first three noble-gas atoms in this case.arrow_forwardConsider an electron for a hydrogen atom in an excited state. The maximum wavelength of electromagnetic radiation that can completely remove (ionize) the electron from the H atom is 1460 nm. What is the initial excited state for the electron (n = ?)?arrow_forwardThe wave function of an electron in the lowest (that is, ground) state of the hydrogen atom is (r)=( 1 a 0 3 )1/2exp(r a 0 )ao=0.5291010m (a) What is the probability of finding the electron inside a sphere of volume 1.0pm2 , centered at the nucleus (1pm=1012m) ? (b) What is the probability of finding the electron in a volume of 1.0pm2 at a distance of 52.9 pm from the nucleus, in a fixed but arbitrary direction? (c) What is the probability of finding the electron in a spherical shell of 1.0 pm in thickness, at a distance of 52.9 pm from the nucleus?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Chemistry: Matter and ChangeChemistryISBN:9780078746376Author:Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl WistromPublisher:Glencoe/McGraw-Hill School Pub CoChemistry: The Molecular ScienceChemistryISBN:9781285199047Author:John W. Moore, Conrad L. StanitskiPublisher:Cengage LearningOrganic Chemistry: A Guided InquiryChemistryISBN:9780618974122Author:Andrei StraumanisPublisher:Cengage Learning
- ChemistryChemistryISBN:9781305957404Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCostePublisher:Cengage LearningChemistry: An Atoms First ApproachChemistryISBN:9781305079243Author:Steven S. Zumdahl, Susan A. ZumdahlPublisher:Cengage Learning
Chemistry: Matter and Change
Chemistry
ISBN:9780078746376
Author:Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl Wistrom
Publisher:Glencoe/McGraw-Hill School Pub Co
Chemistry: The Molecular Science
Chemistry
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:Cengage Learning
Organic Chemistry: A Guided Inquiry
Chemistry
ISBN:9780618974122
Author:Andrei Straumanis
Publisher:Cengage Learning
Chemistry
Chemistry
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Cengage Learning
Chemistry: An Atoms First Approach
Chemistry
ISBN:9781305079243
Author:Steven S. Zumdahl, Susan A. Zumdahl
Publisher: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