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.)

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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Question

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.)

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