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Molecular Kinetic Theory of Gases and Its Implications
- Bernoulli Equation as Implication of Molecular Kinetic Theory of Gases
- Ideal Gas Law
- Boltzmann Equation
- Compressibility of Ideal Gases: Boyle’s Law
- Volumetric Expansion of Ideal Gases: Gay-Lussac Law
- Pressure Expansion of Ideal Gases: Charles’ Law
- Dalton’s Law of Partial Pressures
- Amagat’s Law of Partial Volumes
- Measurement of Gas Molar Masses
- Examples Applied to Ideal Gas Laws
- Partition of Molecular Energy
- Partition of Molecular Energy by Quantum Mechanics
- Velocities of Molecules and Their Distribution
- Average Thermal Velocity
- The Most Probable Velocity
- Root Mean Square Velocity
- Velocity Distribution Functions Respecting the Direction of Molecular Motion
- Molecular Flux and Molecular Flux Density
- Mean Free Path of Particles
- Mean Free Path of Molecules in a Binary Gas Mixture
- Mean Free Path of Molecules in a Gas of the Same Kind
- Mean Free Path of Electrons in a Single Molecular Gas
- Mean Free Path of Ions in a Gas of the Same Kind
- Mean Free Path of Arbitrary Ions in a Single Gas Environment
- Mean Free Path of Electrons in an Electron Environment
- Sutherland Correction for Mean Free Path
- Distribution of Molecules According to Their Free Paths
- Practical Implication of Mean Free Paths and Their Distribution
- Analysis Depth at Auger Electron Spectroscopy and X-Ray Photoelectron Spectroscopy
- Photoionization Cross Section
- Reaction Rate for Ionization and Excitation
- The First Ionization Potential and Reduced Ionization Potential
- Criterion of Mean Free Path
- Examples for Kinetic Theory of Gases
Abstract
The fundamental principles of molecular kinetic theory were deduced by Bernoulli. Later, Clausius, Maxwell, Boltzmann, van der Waals, and Jeans extended this theory and worked out its details.
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