Chemical Principles
8th Edition
ISBN: 9781305581982
Author: Steven S. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 12, Problem 76E
The relative orbital levels for the hydrogen atom can berepresented as
Draw the relative orbital energy levels for atoms withmore than one electron, and explain your answer. Alsoexplain how the following radial probability distributionssupport your answer.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionChapter 12 Solutions
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
- Construct an energy level diagram showing all orbitals for the hydrogen atom up to n=5, labeling each orbital with its appropriate quantum numbers. How many different orbitals are in each shell?arrow_forwardUsing Table 5.2, write down the mathematical expression for the 2px wave function for an electronically excited H atom. Estimate the probability of finding the 2px electron if you look in a cubical box of volume of 0.8(pm)3 centered at a distance of 0.5001010m in the =/2 , =0 direction. Does this probability change as you change ? At what angles is the probability of finding the electron smallest and at what angles is the probability the largest? (Note that =2 is the same location as =0 , so don’t double count.)arrow_forwardIn the Stern-Gerlach experiment, silver atoms were used. This was a good choice, as it turned out. Using the electron configuration of silver atoms, explain why silver was a good candidate for being able to observe the intrinsic angular momentum of the electron. Hint: Dont use the aufbau principle to determine the electron configuration of Ag, because its one of the exceptions. Look up the exact electron configuration in a table.arrow_forward
- The energies of macroscopic objects, as well as those of microscopic objects, are quantized, but the effects of the quantization are not seen because the difference in energy between adjacent states is so small. Apply Bohr’s quantization of angular momentum to the revolution of Earth (mass6.01024kg) , which moves with a speed of 3.0104ms1 in a circular orbit (radius1.51011m) about the sun. The sun can be treated as fixed. Calculate the value of the quantum number n for the present state of the Earthsun system. What would be the effect of an increase in n by 1?arrow_forwardSuppose an atom in an excited state can return to the ground state in two steps. It first falls to an intermediate state, emitting radiation of wavelength 1 , and then to the ground state, emitting radiation of wavelength 2 . The same atom can also return to the ground state in one step, with the emission of radiation of wavelength . How are 1,2, and related? How are the frequencies of the three radiations related?arrow_forwardUsing and labels, write two possible wavefunctions for an electron in the 3d2 orbital of He+.arrow_forward
- The energy needed to ionize an atom of element X when it is in its most stable state is 500kJmol1 . However, if an atom of X is in its lowest excited state, only 120kJmol1 is needed to ionize it. What is the wavelength of the radiation emitted when an atom of X undergoes a transition from the lowest excited state to the ground state?arrow_forwardPhotoelectron spectroscopy studies have determined the orbital energies for fluorine atoms to be 1s689eV2s34eV2p12eV Estimate the value of Zeff for F in each of these orbitals.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
- Use the mathematical expression for the 2pz wave function of a one-electron atom (see Table 5.2) to show that the probability of finding an electron in that orbital anywhere in the x-y plane is 0. What are the nodal planes for a dxz orbital and for a dx2y2 orbital?arrow_forwardCalculate the energies of an electron in the fourth, fifth, and sixth energy levels of the Bohr hydrogen atom.arrow_forwardQuantum mechanics predicts that the energy of the ground state of the H atom is 13.6eV . Insight into the magnitude of this quantity is gained by considering several methods by which it can be measured. (a) Calculate the longest wavelength of light that will ionize H atoms in their ground state. (b) Assume the atom is ionized by collision with an electron that transfers all its kinetic energy to the atom in the ionization process. Calculate the speed of the electron before the collision. Express your answer in meters per second (ms1) and miles per hour (milesh1) . (c) Calculate the temperature required to ionize a H atom in its ground state by thermal excitation. (Hint: Recall the criterion for thermal excitation of an oscillator in Planck’s theory of blackbody radiation is that hvkBT .)arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Principles of Modern ChemistryChemistryISBN:9781305079113Author:David W. Oxtoby, H. Pat Gillis, Laurie J. ButlerPublisher:Cengage LearningPhysical ChemistryChemistryISBN:9781133958437Author:Ball, David W. (david Warren), BAER, TomasPublisher:Wadsworth Cengage Learning,World of Chemistry, 3rd editionChemistryISBN:9781133109655Author:Steven S. Zumdahl, Susan L. Zumdahl, Donald J. DeCostePublisher:Brooks / Cole / Cengage Learning
- Chemistry: Matter and ChangeChemistryISBN:9780078746376Author:Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl WistromPublisher:Glencoe/McGraw-Hill School Pub CoChemistry: Principles and PracticeChemistryISBN:9780534420123Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward MercerPublisher:Cengage Learning
Principles of Modern Chemistry
Chemistry
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:Cengage Learning
Physical Chemistry
Chemistry
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Wadsworth Cengage Learning,
World of Chemistry, 3rd edition
Chemistry
ISBN:9781133109655
Author:Steven S. Zumdahl, Susan L. Zumdahl, Donald J. DeCoste
Publisher:Brooks / Cole / 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: Principles and Practice
Chemistry
ISBN:9780534420123
Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Publisher:Cengage Learning
Quantum Numbers, Atomic Orbitals, and Electron Configurations; Author: Professor Dave Explains;https://www.youtube.com/watch?v=Aoi4j8es4gQ;License: Standard YouTube License, CC-BY
QUANTUM MECHANICAL MODEL/Atomic Structure-21E; Author: H to O Chemistry;https://www.youtube.com/watch?v=mYHNUy5hPQE;License: Standard YouTube License, CC-BY