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7.62 The quantum-mechanical treatment of the H atom gives the energy, E, of the electron as a function of n: E= - (n = 1, 2, 3, ...) where h is Planck's constant, m, is the electron's mass, and ao is 52.92x10"² m. (a) Write the expression in the form E = -(constant)(1/n°), evalu- ate the constant (in J), and compare it with the corresponding= expression from Bohr's theory. (b) Use the expression from part (a) to find AE between n = 2 and n= 3. (c) Calculate the wavelength of the photon that corresponds to this energy change.

7.62 The quantum-mechanical treatment of the H atom gives the energy, E, of the electron as a function of n: E= - (n = 1, 2, 3, ...) where h is Planck's constant, m, is the electron's mass, and ao is 52.92x10"² m. (a) Write the expression in the form E = -(constant)(1/n°), evalu- ate the constant (in J), and compare it with the corresponding= expression from Bohr's theory. (b) Use the expression from part (a) to find AE between n = 2 and n= 3. (c) Calculate the wavelength of the photon that corresponds to this energy change.

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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7.62 The quantum-mechanical treatment of the H atom gives the energy, E, of the electron as a function of n: E = - (n = 1, 2, 3, ...) where h is Planck's constant, m, is the electron's mass, and ao is 52.92x10-12 m. (a) Write the expression in the form E = -(constant)(1/n*), evalu- ate the constant (in J), and compare it with the corresponding expression from Bohr's theory. (b) Use the expression from part (a) to find AE between n = 2 and n= 3. (c) Calculate the wavelength of the photon that corresponds to this energy change.
Transcribed Image Text:7.62 The quantum-mechanical treatment of the H atom gives the energy, E, of the electron as a function of n: E = - (n = 1, 2, 3, ...) where h is Planck's constant, m, is the electron's mass, and ao is 52.92x10-12 m. (a) Write the expression in the form E = -(constant)(1/n*), evalu- ate the constant (in J), and compare it with the corresponding expression from Bohr's theory. (b) Use the expression from part (a) to find AE between n = 2 and n= 3. (c) Calculate the wavelength of the photon that corresponds to this energy change.
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