Mastering Chemistry With Pearson Etext -- Standalone Access Card -- For General Chemistry: Principles And Modern Applications (11th Edition)
11th Edition
ISBN: 9780133387803
Author: Ralph H. Petrucci; F. Geoffrey Herring; Jeffry D. Madura; Carey Bissonnette
Publisher: PEARSON
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Chapter 8, Problem 70E
Use a graphical method or some other means to show that in a
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Mastering Chemistry With Pearson Etext -- Standalone Access Card -- For General Chemistry: Principles And Modern Applications (11th Edition)
Ch. 8 - A hypothetical electromagnetic wave is pictured...Ch. 8 - Prob. 2ECh. 8 - The magnesium spectrum has a line at 266.8 nm....Ch. 8 - The most intense line in the cerium spectrum is at...Ch. 8 - Without doing detailed calculations, determine...Ch. 8 - Without doing detailed calculations, arrange the...Ch. 8 - How long does it take light from the sun, 93...Ch. 8 - In astronomy, distances are measured in...Ch. 8 - Determine a. the energy, in joules per photon, of...Ch. 8 - Determine a. the frequency, in hertz, of radiation...
Ch. 8 - A certain radiation has a wavelength of 574 nm....Ch. 8 - What is the wavelength, in nanometers, of light...Ch. 8 - Without doing detailed calculations, indicate...Ch. 8 - Without doing detailed calculations, arrange the...Ch. 8 - In what region of the electromagnetic spectrum...Ch. 8 - High-pressure sodium vapor lamps are used in...Ch. 8 - The lowest-frequency light that produce the...Ch. 8 - The minimum energy required to cause the...Ch. 8 - Use the Balmer equation (8.4) to determine a. the...Ch. 8 - How would the Balmer equation (8.4) have to be...Ch. 8 - What is E for the transition of an electron from...Ch. 8 - What is E for the transition of an electron from...Ch. 8 - To what value of n in equation (8.4) does the line...Ch. 8 - The Lyman series of the hydrogen spectrum can be...Ch. 8 - Calculate the wavelengths, in nanometers, of the...Ch. 8 - A line is detected in the hydrogen spectrum at...Ch. 8 - Calculate the energy, in joules, of a hydrogen...Ch. 8 - Calculate the increase in energy, in pules, when...Ch. 8 - What are the (a) frequency, in s1 , and (b)...Ch. 8 - Without doing detailed calculations, indicate...Ch. 8 - For a hydrogen atom, determine a. the energy level...Ch. 8 - Without doing detailed calculations, indicate...Ch. 8 - What electron transition in a hydrogen atom,...Ch. 8 - What electron transition in a hydrogen atom,...Ch. 8 - The emission spectrum below for a one-electron...Ch. 8 - The emission spectrum below for a one-electron...Ch. 8 - The emission spectrum below for a one-electron...Ch. 8 - The emission spectrum below for a one-electron...Ch. 8 - Which must possess e greater velocity to produce...Ch. 8 - What must be the velocity, in meters per second,...Ch. 8 - Calculate the de Broglie wavelength, in...Ch. 8 - What is the wavelength, in nanometers, associated...Ch. 8 - The uncertainty relation xph/(4) , expression...Ch. 8 - Although Einstein made some early contributions to...Ch. 8 - A proton is accelerated to one-tenth the velocity...Ch. 8 - Show that the uncertainty principle is not...Ch. 8 - What must be the velocity of electrons if their...Ch. 8 - What must be the velocity of electrons if their...Ch. 8 - A standing wave in a string 42 cm long has a total...Ch. 8 - What is the length of a string that has a standing...Ch. 8 - Calculate the wavelength of the electromagnetic...Ch. 8 - An electron in a one-dimensional box requires a...Ch. 8 - An electron in a 200 nm box is excited from the...Ch. 8 - Calculate the wavelength of the electromagnetic...Ch. 8 - Describe some of the differences between the...Ch. 8 - The greatest probability of finding the electron...Ch. 8 - Select the correct answer and explain your...Ch. 8 - Write an acceptable value for each of the missing...Ch. 8 - What type of orbital (i.e., 3s,4p, ... ) is...Ch. 8 - Which of the following statements is (are) correct...Ch. 8 - Concerning the electrons in the shells, subshells,...Ch. 8 - Concerning the concept of subshells and orbitals,...Ch. 8 - Calculate the finite value of r, in terms of at...Ch. 8 - Calculate the finite value of r, in terms of ac ,...Ch. 8 - Show that the probability of finding a 2p,...Ch. 8 - Prob. 66ECh. 8 - Prepare a two-dimensional plot of Y(,) for the py...Ch. 8 - Prepare a two-dimensional plot of Yz(,) for the py...Ch. 8 - Using a graphical method, show that in a hydrogen...Ch. 8 - Use a graphical method or some other means to show...Ch. 8 - Identify the orbital that has (a) one radial node...Ch. 8 - Identify the orbital that has (a) two radial nodes...Ch. 8 - A contour map for an atomic orbital of hydrogen is...Ch. 8 - A contour map for an atomic orbital of hydrogen is...Ch. 8 - On the basis of the periodic table and rules for...Ch. 8 - Based on the relationship between electron...Ch. 8 - Which of the following is the correct orbital...Ch. 8 - Which of the following is the correct orbital...Ch. 8 - Use the basic rules for electron configurations to...Ch. 8 - Use orbital diagrams to show the distribution of...Ch. 8 - Prob. 81ECh. 8 - Without referring to any tables or listings in the...Ch. 8 - Which of the following electron configurations...Ch. 8 - Prob. 84ECh. 8 - Prob. 85ECh. 8 - Prob. 86ECh. 8 - The following electron configurations correspond...Ch. 8 - Prob. 88ECh. 8 - Derive the Balmer and Rydberg equations from...Ch. 8 - Prob. 90IAECh. 8 - The work function is the energy that must be...Ch. 8 - Infrared lamps are used in cafeterias to keep food...Ch. 8 - Prob. 93IAECh. 8 - Determine the de Broglie wavelength of the...Ch. 8 - The Pfund series of the hydrogen spectrum has as...Ch. 8 - Between which two levels of the hydrogen atom must...Ch. 8 - Prob. 97IAECh. 8 - Prob. 98IAECh. 8 - An atom in which just one of the outer-shell...Ch. 8 - If all other rules governing electron...Ch. 8 - Ozone, O2, absorbs ultraviolet radiation and...Ch. 8 - Radio signals from Voyager 1 in the 1970s were...Ch. 8 - Prob. 103IAECh. 8 - The angular momentum of an electron in the Bohr...Ch. 8 - Prob. 105IAECh. 8 - Prob. 106IAECh. 8 - Using the relationships given in Table 8.2, find...Ch. 8 - Prob. 108IAECh. 8 - Prob. 109IAECh. 8 - Prob. 110IAECh. 8 - In the ground state of a hydrogen atom, what is...Ch. 8 - Prob. 112IAECh. 8 - Prob. 113FPCh. 8 - Balmer seems to have deduced his formula for the...Ch. 8 - The Rydberg-Ritz combination principle is an...Ch. 8 - Prob. 116FPCh. 8 - Diffraction of radiation takes place when the...Ch. 8 - Prob. 118FPCh. 8 - (This exercise requires calculus.) In this...Ch. 8 - Prob. 120FPCh. 8 - In your own words, define the following terms or...Ch. 8 - Briefly describe each of the following ideas or...Ch. 8 - Explain the important distinctions between each...Ch. 8 - Describe two ways in which the orbitals of...Ch. 8 - Prob. 125SAECh. 8 - With the help of sketches, explain the difference...Ch. 8 - With the help of sketches, explain the difference...Ch. 8 - If traveling at equal speeds, which of the...Ch. 8 - For electromagnetic radiation transmitted through...Ch. 8 - Prob. 130SAECh. 8 - Prob. 131SAECh. 8 - Construct a concept map for the configurations of...
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- Consider an electron for a hydrogen atom in an excited state. The maximum wavelength of electromagnetic radiation that can completely remove (ionize) the electron from the H atom is 1460 nm. What is the initial excited state for the electron (n = ?)?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_forwardFor hydrogen atoms, the wave function for the state n = 3, l = 0, ml = 0 is 300=1813(1a0)3/2(2718+22)e where = r/a0 and a0 is the Bohr radius (5.29 1011 m). Calculate the position of the nodes for this wave function.arrow_forward
- Imagine 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_forwardWhy 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?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
- How far from the nucleus in angstroms (1 angstrom =11010 m) is the electron in a hydrogen atom if it has an energy of 8.721020 J?arrow_forward(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.arrow_forwardEstimate 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.)arrow_forward
- The figure below represents part of the emission spectrum for a one-electron ion in lhe gas phase. All the lines result from electronic transitions from excited states to the n = 3 state. (See Exercise 160.) a. What electronic transitions correspond to lines A and B? b. If the wavelength of line B is 142.5 nm, calculate the wavelength of line A.arrow_forwardCalculate En for n=1,2,3, and 4 (R H=2.1801018J). Make a one-dimensional graph showing energy, at different values of n, increasing vertically. On this graph, indicate by vertical arrows transitions in the (a) Lyman series (nlo=1) (b) Balmer series (nlo=2).arrow_forwardThe Lyman series of spectral lines for the H atom, in the ultraviolet region, arises from transitions from higher levels to n = 1. Calculate the frequency and wavelength of the least energetic line in this series.arrow_forward
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