22-30. (a) The mean free path is the average distance a molecule travels before colliding with another molecule. The mean free path, A, is given by A = kT/(V20P), where k is Boltzmann's constant, T is temperature (K), P is pressure (Pa), and o is the collision cross section. For a molecule with a diameter d, the col- lision cross section is nd. The collision cross section is the area swept out by the molecule within which it will strike any other molecule it encounters. The magnetic sector mass spectrometer is maintained at a pressure of ~10¯³ Pa so that ions do not collide with (and deflect) one another as they travel through the mass analyzer. What is the mean free path of a molecule with a diam- eter of 1 nm at 300 K in the mass analyzer?
22-30. (a) The mean free path is the average distance a molecule travels before colliding with another molecule. The mean free path, A, is given by A = kT/(V20P), where k is Boltzmann's constant, T is temperature (K), P is pressure (Pa), and o is the collision cross section. For a molecule with a diameter d, the col- lision cross section is nd. The collision cross section is the area swept out by the molecule within which it will strike any other molecule it encounters. The magnetic sector mass spectrometer is maintained at a pressure of ~10¯³ Pa so that ions do not collide with (and deflect) one another as they travel through the mass analyzer. What is the mean free path of a molecule with a diam- eter of 1 nm at 300 K in the mass analyzer?
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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![22-30. (a) The mean free path is the average distance a molecule
travels before colliding with another molecule. The mean free
path, A, is given by A = kT/(V20P), where k is Boltzmann’s
constant, T is temperature (K), P is pressure (Pa), and o is the
collision cross section. For a molecule with a diameter d, the col-
lision cross section is nd. The collision cross section is the area
swept out by the molecule within which it will strike any other
molecule it encounters. The magnetic sector mass spectrometer is
maintained at a pressure of ~103 Pa so that ions do not collide
with (and deflect) one another as they travel through the mass
analyzer. What is the mean free path of a molecule with a diam-
eter of 1 nm at 300 K in the mass analyzer?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F23334f90-ebd4-445a-9d76-7298f7549b01%2Fe7fb6807-b09e-4832-b89a-09e57f1dc505%2F4pcwicg_processed.png&w=3840&q=75)
Transcribed Image Text:22-30. (a) The mean free path is the average distance a molecule
travels before colliding with another molecule. The mean free
path, A, is given by A = kT/(V20P), where k is Boltzmann’s
constant, T is temperature (K), P is pressure (Pa), and o is the
collision cross section. For a molecule with a diameter d, the col-
lision cross section is nd. The collision cross section is the area
swept out by the molecule within which it will strike any other
molecule it encounters. The magnetic sector mass spectrometer is
maintained at a pressure of ~103 Pa so that ions do not collide
with (and deflect) one another as they travel through the mass
analyzer. What is the mean free path of a molecule with a diam-
eter of 1 nm at 300 K in the mass analyzer?
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