of the velocity in (c) to the speed of light? 2. In 1913 Neils Bohr proposed a model for the hydrogen, now known as the Bohr atom, that explained the emission spectrum of the hydrogen atom as well as one-electron ions like Het. The model permits the electron to orbit the nucleus by a set of discrete orbits where each orbit is associated with an integer value n, known as the principal quantum number. Depending upon the orbital occupied by the electron, the energy of the hydrogen atom (or one-electron ions) can only assume the following discrete values 1terd 30 tF aconstant En n2 prineiple 2 S1 where RH 2.18x10-18 J is the Rydberg constant and Z is the number of protons in the nucleus.(a) List the energies of the hydrogen atom for the first three orbits (n-1, 2, and 3).*(b) Compute the energy absorbed by the hydrogen atom when the electron is excited from the lowest orbit (n 1) to the third lowest orbit (n 3). (c) Calculate the frequency v of the photon E = y absorbed by the hydrogen atom when the electron is excited fromn=1 to n =3, as in part (b), where Planck's constant h is 6.626x10-34 Js. (d) Does the frequency in part (c) correspond to visible light? (e) Compute the ionization energy of the hydrogen atom, that is (T) 1 the energy required to move an electron from n= 1 to n = oo. 3. Use the Maple worksheet "Structure of the Atom" to answer the following
of the velocity in (c) to the speed of light? 2. In 1913 Neils Bohr proposed a model for the hydrogen, now known as the Bohr atom, that explained the emission spectrum of the hydrogen atom as well as one-electron ions like Het. The model permits the electron to orbit the nucleus by a set of discrete orbits where each orbit is associated with an integer value n, known as the principal quantum number. Depending upon the orbital occupied by the electron, the energy of the hydrogen atom (or one-electron ions) can only assume the following discrete values 1terd 30 tF aconstant En n2 prineiple 2 S1 where RH 2.18x10-18 J is the Rydberg constant and Z is the number of protons in the nucleus.(a) List the energies of the hydrogen atom for the first three orbits (n-1, 2, and 3).*(b) Compute the energy absorbed by the hydrogen atom when the electron is excited from the lowest orbit (n 1) to the third lowest orbit (n 3). (c) Calculate the frequency v of the photon E = y absorbed by the hydrogen atom when the electron is excited fromn=1 to n =3, as in part (b), where Planck's constant h is 6.626x10-34 Js. (d) Does the frequency in part (c) correspond to visible light? (e) Compute the ionization energy of the hydrogen atom, that is (T) 1 the energy required to move an electron from n= 1 to n = oo. 3. Use the Maple worksheet "Structure of the Atom" to answer the following
Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter4: Introduction To Quantum Mechanics
Section: Chapter Questions
Problem 40P: When metallic sodium is dissolved in liquid sodium chloride, electrons are released into the liquid....
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