Chemistry Atoms First2e
2nd Edition
ISBN: 9781947172647
Author: OpenStax
Publisher: OpenStax College
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Textbook Question
Chapter 3, Problem 16E
Why is the electron in a Bohr hydrogen atom bound less tightly when it has a quantum number of 3 than when it has a quantum number of 1?
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Chapter 3 Solutions
Chemistry Atoms First2e
Ch. 3 - The light produced by a red neon sign is due to...Ch. 3 - An FM radio station found at 103.1 on the FM dial...Ch. 3 - FM-95, an FM radio station, broadcasts at a...Ch. 3 - A bright violet line occurs at 435.8 nm in the...Ch. 3 - Light with a wavelength of 614.5 nm looks orange....Ch. 3 - Heated lithium atoms emit photons of light with an...Ch. 3 - A photon of light produced by a surgical laser has...Ch. 3 - When rubidium ions are heated to a high...Ch. 3 - The emission spectrum of cesium contains two lines...Ch. 3 - Photons of infrared radiation are responsible for...
Ch. 3 - One of the radiographic devices used in a...Ch. 3 - The eyes of certain reptiles pass a single visual...Ch. 3 - RGB color television and computer displays use...Ch. 3 - Answer the following questions about a Blu-ray...Ch. 3 - What is the threshold frequency for sodium metal...Ch. 3 - Why is the electron in a Bohr hydrogen atom bound...Ch. 3 - What does it mean to say that the energy of the...Ch. 3 - Using the Bohr model, determine the energy, in...Ch. 3 - The electron volt (eV) is a convenient unit of...Ch. 3 - Using the Bohr model, determine the lowest...Ch. 3 - Using the Bohr model, determine the lowest...Ch. 3 - Using the Bohr model, determine the energy of an...Ch. 3 - Using the Bohr model, determine the energy of an...Ch. 3 - How far from the nucleus in angstroms (1 angstrom...Ch. 3 - What is the radius, in angstroms, of the orbital...Ch. 3 - Using the Bohr model, determine the energy in...Ch. 3 - Using the Bohr model, determine the energy in...Ch. 3 - Consider a large number of hydrogen atoms with...Ch. 3 - How are the Bohr model and the Rutherford model of...Ch. 3 - The spectra of hydrogen and of calcium are shown...Ch. 3 - How are the Bohr model and the quantum mechanical...Ch. 3 - What are the allowed values for each of the four...Ch. 3 - Describe the properties of an electron associated...Ch. 3 - Answer the following questions: (a) Without using...Ch. 3 - Identify the subshell in which electrons with the...Ch. 3 - Which of the subshells described in the previous...Ch. 3 - Identify the subshell in which electrons with the...Ch. 3 - Which of the subshells described in the previous...Ch. 3 - Sketch the boundary surface of a dx2y2 and a py...Ch. 3 - Sketch the px and dxz orbitals. Be sure to show...Ch. 3 - Consider the orbitals shown here in outline. (a)...Ch. 3 - State the Heisenberg uncertainty principle....Ch. 3 - How many electrons could be held in the second...Ch. 3 - Which of the following equations describe...Ch. 3 - Write a set of quantum numbers for each of the...Ch. 3 - Read the labels of several commercial products and...Ch. 3 - Read the labels of several commercial products and...Ch. 3 - Using complete subshell notation (not...Ch. 3 - Using complete subshell notation ( 1s22s22p6, and...Ch. 3 - Is 1s22s22p6 the symbol for a macroscopic property...Ch. 3 - What additional information do we need to answer...Ch. 3 - Draw the orbital diagram for the valence shell of...Ch. 3 - Use an orbital diagram to describe the electron...Ch. 3 - Using complete subshell notation ( 1s22s22p6, and...Ch. 3 - Which atom has the electron configuration...Ch. 3 - Which atom has the electron configuration...Ch. 3 - Which ion with a +1 charge has the electron...Ch. 3 - Which of the following atoms contains only three...Ch. 3 - Which of the following has two unpaired electrons?...Ch. 3 - Which atom would be expected to have a half-filled...Ch. 3 - Which atom would be expected to have a half-filled...Ch. 3 - In one area of Australia, the cattle did not...Ch. 3 - Thallium was used as a poison in the Agatha...Ch. 3 - Write the electron configurations for the...Ch. 3 - Cobalt60 and iodine131 are radioactive isotopes...Ch. 3 - Write a set of quantum numbers for each of the...Ch. 3 - Based on their positions in the periodic table,...Ch. 3 - Based on their positions in the periodic table,...Ch. 3 - Based on their positions in the periodic table,...Ch. 3 - Based on their positions in the periodic table,...Ch. 3 - Based on their positions in the periodic table,...Ch. 3 - Based on their positions in the periodic table,...Ch. 3 - Atoms of which group in the periodic table have a...Ch. 3 - Atoms of which group in the periodic table have a...Ch. 3 - Based on their positions in the periodic table,...Ch. 3 - Based on their positions in the periodic table,...Ch. 3 - Based on their positions in the periodic table,...Ch. 3 - List the following ions in order of increasing...Ch. 3 - Which atom and/or ion is (are) isoelectronic with...Ch. 3 - Which of the following atoms and ions is (are)...Ch. 3 - Compare both the numbers of protons and electrons...Ch. 3 - Of the five elements Al, Cl, I, Na, Rb, which has...Ch. 3 - Of the five elements Sn, Si, Sb, O, Te, which has...Ch. 3 - The ionic radii of the ions S2, Cl, and K+ are...Ch. 3 - Which main group atom would be expected to have...Ch. 3 - Explain why Al is a member of group 13 rather than...Ch. 3 - Using the periodic table, classify each of the...Ch. 3 - Using the periodic table, classify each of the...Ch. 3 - Using the periodic table, identify the lightest...Ch. 3 - Using the periodic table, identify the heaviest...Ch. 3 - Use the periodic table to give the name and symbol...Ch. 3 - Use the periodic table to give the name and symbol...Ch. 3 - Write a symbol for each of the following neutral...Ch. 3 - Write a symbol for each of the following neutral...Ch. 3 - Using the periodic table, predict whether the...Ch. 3 - Using the periodic table, predict whether the...Ch. 3 - For each of the following compounds, state whether...Ch. 3 - For each of the following compounds, state whether...Ch. 3 - For each of the following pairs of ions, write the...Ch. 3 - For each of the following pairs of ions, write the...
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- Calculate the energies of an electron in the fourth, fifth, and sixth energy levels of the Bohr hydrogen atom.arrow_forwardHow is the Bohr theory of the hydrogen atom inconsistent with the uncertainty principle? In fact, it was this inconsistency, along with the theorys limited application to non-hydrogen-like systems, that limited Bohrs theory.arrow_forward6.32 What are the mathematical origins of quantum numbers?arrow_forward
- Consider a one-dimensional particle-in-a-box and a three-dimensional particle-in-a-box that have the same dimensions. a What is the ratio of the energies of a particle having the lowest possible quantum numbers in both boxes? b Does this ratio stay the same if the quantum numbers are not the lowest possible values?arrow_forwardIn 1885, Johann Balmer, a mathematician, derived the following relation for the wavelength of lines in the visible spectrum of hydrogen =364.5 n2( n2 4) where in nanometers and n is an integer that can be 3, 4, 5, . . . Show that this relation follows from the Bohr equation and the equation using the Rydberg constant. Note that in the Balmer series, the electron is returning to the n=2 level.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
- Defend and criticize Bohrs model. Why was it reasonable that such a model was proposed, and what evidence was there that it "works"? Why do we no longer "believe" in it?arrow_forwardImagine a world in which the rule for the l quantum number is that values start with 1 and go up to n. The rules for the n and mi quantum numbers are unchanged from those of our world. Write the quantum numbers for the first two shells (i.e., n = 1 and n = 2).arrow_forward• identify an orbital (as 1s, 3p, etc.) from its quantum numbers, or vice versa.arrow_forward
- Determine the speed of an electron being emitted by rubidium (=2.16eV) when light of the following wavelengths is shined on the metal in vacuum: a550nm, b450nm,c350nm.arrow_forwardUse 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_forward
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