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The diameter of a gas molecule is 2-4 x 10-10 m. Calculate the mean free path at NTP. Given Boltzmann constant k = 1-38 x 10-23 J molecule-l K-1.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter16: Temperature And The Kinetic Theory Of Gases

Section: Chapter Questions

Problem 3CQ

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Concept explainers

Maxwell speed distribution

Maxwell-Boltzmann distribution or commonly known as Maxwell speed distribution, explains the division of the energy levels of the molecules of an ideal gas on the basis of the statistical theory. In 1859, Scottish physicist James Clerk Maxwell established the context for the distribution of molecular velocities for random molecules moving in a closed environment. This theory was generalized in 1871 by German physicist Ludwig Boltzmann. He improvised the theory to express the distribution of energy levels among different molecules.

Question

The diameter of a gas molecule is 2-4 x 10-10
m. Calculate the mean free path at NTP. Given
Boltzmann constant k = 1-38 x 10-23 J
molecule-l K-1.

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