C Give All y! number For n A How to | y number Sub = nside y meters newconnect.mheducation.com/flow/connect.html Soved vork_Chapter 7 (Quantum Theory and Atomic Struct. A Be sure to answer all parts. Give all possible m, values for orbitals that have each of the following values: (a)L-D0 0. -1, 0, +1 -2,-1, 0, +1, +2 -3,-2,-1, 0, +1, +2, +3 Book Print. (b) n = 2 (choose all possible solutions) ferences 0. -1,0, -1 -2.-1.0, +1, +2 -3,-2.-1, 0, +1, -2, -3 (c) n = 4,1= 3 aana -1,0, -1 -2,-1, 0, -1. -2 -3,-2,-1. 0. -1. -2, -3 20 of 20 Mc Grow Hill

C Give All y! number For n A How to | y number Sub = nside y meters newconnect.mheducation.com/flow/connect.html Soved vork_Chapter 7 (Quantum Theory and Atomic Struct. A Be sure to answer all parts. Give all possible m, values for orbitals that have each of the following values: (a)L-D0 0. -1, 0, +1 -2,-1, 0, +1, +2 -3,-2,-1, 0, +1, +2, +3 Book Print. (b) n = 2 (choose all possible solutions) ferences 0. -1,0, -1 -2.-1.0, +1, +2 -3,-2.-1, 0, +1, -2, -3 (c) n = 4,1= 3 aana -1,0, -1 -2,-1, 0, -1. -2 -3,-2,-1. 0. -1. -2, -3 20 of 20 Mc Grow Hill

Chemistry & Chemical Reactivity

10th Edition

ISBN:9781337399074

Author:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel

Publisher:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel

Chapter6: The Structure Of Atoms

Section: Chapter Questions

Problem 36PS: What is the maximum number of orbitals that can be identified by each of the following sets of...

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Using 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.)
Estimate 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.)
What is the maximum number of orbitals that can be identified by each of the following sets of quantum numbers? When none is the correct answer, explain your reasoning. (a) n = 4, = 3 (b) n = 5 (c) n = 2, = 2 (d) n = 3, = 1, m = 1
When metallic sodium is dissolved in liquid sodium chloride, electrons are released into the liquid. These dissolved electrons absorb light with a wavelength near 800 nm. Suppose we treat the positive ions surrounding an electron crudely as defining a three-dimensional cubic box of edge L, and we assume that the absorbed light excites the electron from its ground state to the first excited state. Calculate the edge length L in this simple model.
Photoelectron spectra were acquired from a sample of gaseous O2 using X-ray radiation with wavelength 0.99 nm and energy 1253.6 eV. The spectrum contained a large peak for photoelectrons with speed of 1.57107ms1 . Calculate the ionization energy of these electrons. Identify the orbital from which they were most likely emitted.
Without referring to your text, predict the trend of second ionization energies for the elements sodium through argon. Compare your answer with Table 2-5. Explain any differences.
(a) The nitrogen atom has one electron in each of the 2px , 2py , and 2pz orbitals. By using the form of the angular wave functions, show that the total electron density, 2(2px)+2(2py)+2(2pz) , is spherically symmetric (that is, it is independent of the angles and ). The neon atom, which has two electrons in each 2p orbital, is also spherically symmetric. (b) The same result as in part (a) applies to d orbitals, thus a filled or half-filled subshell of d orbitals is spherically symmetric. Identify the spherically symmetric atoms or ions among the following: F , Na, Si, S2,Ar+ , Ni, Cu, Mo, Rh, Sb, W, Au.
Discuss briefly the difference between an orbit (as described by Bohr for hydrogen) and an orbital (as described by the more modern, wave mechanical picture of the atom).
Which of the subshells described in the previous question contain degenerate orbitals? How many degenerate orbitals are in each?
Quantum 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 .)
Using the periodic table and without looking at Table 7.3, write electron configurations for the following elements: (a) P (b) Zn (c) Zr (d) In (e) Pb (f) U Use the spdf and noble gas notations. When you have finished, check your answers with Table 7.3.
The helium ion He+ is a one-electron system whose wave functions and energy levels are obtained from those for H by changing the atomic number to Z=2 . Calculate the average distance of the electron from the nucleus in the 2s orbital and in the 2p orbital. Compare your results with those in Problem 11 and explain the difference.