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Understanding Isothermal Atmosphere: Gas Dynamics in Gravitational Fields

Explore the dynamics of gas in a container under gravity, with insights on Boltzmann Factor, density, and equilibrium states. Analyze potential energy and probability densities for ideal gases in numerous configurations.

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Understanding Isothermal Atmosphere: Gas Dynamics in Gravitational Fields

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  1. 1.4. The Density In An Isothermal Atmosphere The Boltzmann Factor In The Potential Energy

  2. Thermodynamic quantity is macroscopically small but microscopically large

  3. Gas inside a container in a gravitational field.

  4. Gravitational force on layer : In equilibrium:

  5. where Probability density of finding a molecule in a MSML volume dV around point r Probability of finding the system in configuration For an ideal gas

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