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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Textbook Question
Chapter 5, Problem 10P
(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.
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(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.
1. Calculate the expectation value for the potential energy of the hydrogen atom with the electron
in the 1s orbital. Compare your result with the total energy and calculate the expectation value of
the electron's kinetic energy in this state.
2. (a) Calculate the probability that the Is electron for hydrogen will be found between ra, and
r= 2ao. (b) Calculate the probability of finding the electron, still in the Is state, outside a sphere
of radius 2.500.
3. Calculate the expectation value of the radius, (r), at which you would find the electron if the
H atom wave function is a) w200, and b) 211.
I
write down the orbitals for A, B, C, and D. please and thank you
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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