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The kinetic theory of gases is a simple classical model of ... is one important result of the kinetic theory: The average molecular kinetic energy is proportional to ...
The Maxwell–Boltzmann distribution is a result of the kinetic theory of gases, which provides a simplified explanation of many fundamental gaseous properties, including pressure and diffusion. [3] The Maxwell–Boltzmann distribution applies fundamentally to particle velocities in three dimensions, but turns out to depend only on the speed ...
Kinetic theory may refer to: Kinetic theory of matter: A general account of the properties of matter, including solids liquids and gases, based around the idea that heat or temperature is a manifestation of atoms and molecules in constant agitation. Kinetic theory of gases, an account of gas properties in terms of motion and interaction of ...
The (Newtonian) kinetic energy of a particle of mass m, velocity v is given by = | | = (+ +), where v x, v y and v z are the Cartesian components of the velocity v.Here, H is short for Hamiltonian, and used henceforth as a symbol for energy because the Hamiltonian formalism plays a central role in the most general form of the equipartition theorem.
At the molecular level, gas dynamics is a study of the kinetic theory of gases, often leading to the study of gas diffusion, statistical mechanics, chemical thermodynamics and non-equilibrium thermodynamics. [2] Gas dynamics is synonymous with aerodynamics when the gas field is air and the subject of study is flight.
The general equation can then be written as [6] = + + (),. where the "force" term corresponds to the forces exerted on the particles by an external influence (not by the particles themselves), the "diff" term represents the diffusion of particles, and "coll" is the collision term – accounting for the forces acting between particles in collisions.
Thus, if the molecular weight of one gas is four times that of another, it would diffuse through a porous plug or escape through a small pinhole in a vessel at half the rate of the other (heavier gases diffuse more slowly). A complete theoretical explanation of Graham's law was provided years later by the kinetic theory of gases.
Kinetic theory of gases In the ... where is the molecular mass, = / is the ... For most simple cavity shapes, F is approximately 4.