Principles of Modern Chemistry
8th Edition
ISBN: 9781305079113
Author: David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher: Cengage Learning
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Chapter 5, Problem 11P
Calculate the average distance of the electron from the nucleus in a hydrogen atom when the electron is in the 2s orbital. Repeat the calculation for an electron in the 2p orbital.
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Chapter 5 Solutions
Principles of Modern Chemistry
Ch. 5 - Which of the following combinations of quantum...Ch. 5 - Which of the following combinations of quantum...Ch. 5 - Label the orbitals described by each of the...Ch. 5 - Label the orbitals described by each of the...Ch. 5 - Estimate the probability of finding an electron...Ch. 5 - Using Table 5.2, write down the mathematical...Ch. 5 - How many radial nodes and how many angular nodes...Ch. 5 - How many radial nodes and how many angular nodes...Ch. 5 - Use the mathematical expression for the 2pz wave...Ch. 5 - (a) Use the radial wave function for the 3p...
Ch. 5 - Calculate the average distance of the electron...Ch. 5 - The helium ion He+ is a one-electron system whose...Ch. 5 - Spectroscopic studies show that Li can have...Ch. 5 - Spectroscopic studies of Li also show that...Ch. 5 - Spectroscopic studies show that Na can have...Ch. 5 - Using data from Problems 13 and 15, calculate the...Ch. 5 - Give the ground-state electron configurations of...Ch. 5 - Give the ground-state electron configurations of...Ch. 5 - Prob. 19PCh. 5 - Write ground-state electron configurations for the...Ch. 5 - Identify the atom or ion corresponding to each of...Ch. 5 - Identify the atom or ion corresponding to each of...Ch. 5 - Predict the atomic number of the (as yet...Ch. 5 - (a) Predict the atomic number of the (as yet...Ch. 5 - Suppose that the spin quantum number did not...Ch. 5 - Suppose that the spin quantum number had three...Ch. 5 - Photoelectron spectra of mercury (Hg) atoms...Ch. 5 - Quantum mechanics predicts that the energy of the...Ch. 5 - Prob. 29PCh. 5 - Photoelectron spectroscopy studies of silicon...Ch. 5 - Photoelectron spectroscopy studies have determined...Ch. 5 - Prob. 32PCh. 5 - For each of the following pairs of atoms or ions,...Ch. 5 - For each of the following pairs of atoms or ions,...Ch. 5 - Predict the larger ion in each of the following...Ch. 5 - Prob. 36PCh. 5 - The first ionization energy of helium is...Ch. 5 - The energy needed to remove one electron from a...Ch. 5 - Without consulting any tables, arrange the...Ch. 5 - Both the electron affinity and the ionization...Ch. 5 - The cesium atom has the lowest ionization energy,...Ch. 5 - Until recently, it was thought that Ca was...Ch. 5 - In the hydrogen atom, the transition from the 2p...Ch. 5 - The energy needed to ionize an atom of element X...Ch. 5 - Suppose an atom in an excited state can return to...Ch. 5 - For the Li atom, the energy difference between the...Ch. 5 - How does the 3dxy orbital of an electron in O7+...Ch. 5 - The wave function of an electron in the lowest...Ch. 5 - An atom of sodium has the electron configuration...Ch. 5 - (a) The nitrogen atom has one electron in each of...Ch. 5 - Chromium(IV) oxide is used in making magnetic...Ch. 5 - Prob. 52APCh. 5 - Arrange the following seven atoms or ions in order...Ch. 5 - Which is higher, the third ionization energy of...Ch. 5 - The outermost electron in an alkali-metal atom is...Ch. 5 - In two-photon ionization spectroscopy, the...Ch. 5 - For the H atom, the transition from the 2p state...Ch. 5 - (a) Give the complete electron configuration...Ch. 5 - What experimental evidence does the periodic table...
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- Explain the difference between (a) the Bohr model of the atom and the quantum mechanical model. (b) wavelength and frequency. (c) the geometries of the three different p orbitals.arrow_forward• identify an orbital (as 1s, 3p, etc.) from its quantum numbers, or vice versa.arrow_forward• list the number of orbitals of each type (1s, 3p, etc) in an atom.arrow_forward
- Calculate the energies of an electron in the fourth, fifth, and sixth energy levels of the Bohr hydrogen atom.arrow_forwardAssign a correct set of four quantum numbers for (a) Each electron in a nitrogen atom. (b) The valence electron in a sodium atom. (c) A 3d electron in a nickel atom.arrow_forwardHow does the 3dxy orbital of an electron in O7+ resemble the 3dxy orbital of an electron in a hydrogen atom? How does it differ?arrow_forward
- Suppose 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_forwardInvestigating Energy Levels Consider the hypothetical atom X that has one electron like the H atom but has different energy levels. The energies of an electron in an X atom are described by the equation E=RHn3 where RH is the same as for hydrogen (2.179 1018 J). Answer the following questions, without calculating energy values. a How would the ground-state energy levels of X and H compare? b Would the energy of an electron in the n = 2 level of H be higher or lower than that of an electron in the n = 2 level of X? Explain your answer. c How do the spacings of the energy levels of X and H compare? d Which would involve the emission of a higher frequency of light, the transition of an electron in an H atom from the n = 5 to the n = 3 level or a similar transition in an X atom? e Which atom, X or H, would require more energy to completely remove its electron? f A photon corresponding to a particular frequency of blue light produces a transition from the n = 2 to the n = 5 level of a hydrogen atom. Could this photon produce the same transition (n = 12 to n = 5) in an atom of X? Explain.arrow_forward6.32 What are the mathematical origins of quantum numbers?arrow_forward
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