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.
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Chapter1: Chemical Foundations
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7ae764b7-d237-4053-a9e9-5b016ede3169%2F412393e4-dfdb-4b31-8b00-3b38e7d6b9c2%2Fcz6ux1_processed.png&w=3840&q=75)
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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