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6: The Distribution of Gas Velocities

6: The Distribution of Gas Velocities

Last updated

Jan 31, 2020
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- 5.3: The Thermodynamic Functions of the N-molecule System
- 6.1: Distribution Functions for Gas-velocity Components

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6.1: Distribution Functions for Gas-velocity Components
6.2: Probability Density Functions for Velocity Components in Spherical Coordinates
6.3: Maxwell's Derivation of the Gas-velocity Probability-density Function
6.4: The Probability-density Function for Gas Velocities in One Dimension
6.5: Combining the One-dimensional Probability Density Functions
6.6: Boyle's Law from the Maxwell-Boltzmann Probability Density
6.7: Experimental Test of the Maxwell-Boltzmann Probability Density
6.8: Statistics for Molecular Speeds
Expected values for several quantities can be calculated from the Maxwell-Boltzmann probability density function.
6.9: Pressure Variations for Macroscopic Samples
Clearly the relative variation among molecular speeds in a sample of ordinary gas is very large. Why do we not observe macroscopic effects from this variation? In particular, if we measure the pressure at a small area of the container wall, why do we not observe pressure variations that reflect the wide variety of speeds with which molecules strike the wall?
6.10: Collisions between Gas Molecules Relative Velocity Coordinates
6.11: The Probability Density Function for the Relative Velocity
6.12: The Frequency of Collisions between Unlike Gas Molecules
6.13: The Rate of Collisions between Unlike Gas Molecules
6.14: Collisions between like Gas Molecules
6.15: The Geometry of A Collision between Spherical Molecules
6.16: The Energy of A Collision between Gas Molecules
6.17: Problems

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