Quantum mechanics predicts that the energy of the ground state of the H atom is –13.6 eV. Insight into the magni- tude of this quantity is gained by considering several methods by which it can be measured. (a) Calculate the longest wavelength of light that will ion- ize H atoms in their ground state. (b) Assume the atom is ionized by collision with an elec- tron that transfers all its kinetic energy to the atom in the ionization process. Calculate the speed of the electron before the collision. Express your answer in meters per second (m s-') and miles per hour (miles h-1). (c) Calculate the temperature required to ionize a H atom in its ground state by thermal excitation. (Hint: Recall the criterion for thermal excitation of an oscillator in Planck's theory of blackbody radiation is that hv z kµT.)

Quantum mechanics predicts that the energy of the ground state of the H atom is –13.6 eV. Insight into the magni- tude of this quantity is gained by considering several methods by which it can be measured. (a) Calculate the longest wavelength of light that will ion- ize H atoms in their ground state. (b) Assume the atom is ionized by collision with an elec- tron that transfers all its kinetic energy to the atom in the ionization process. Calculate the speed of the electron before the collision. Express your answer in meters per second (m s-') and miles per hour (miles h-1). (c) Calculate the temperature required to ionize a H atom in its ground state by thermal excitation. (Hint: Recall the criterion for thermal excitation of an oscillator in Planck's theory of blackbody radiation is that hv z kµT.)

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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