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Lecture_9 - Todays Lecture Gases 5.6 The Kinetic Molecular...

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1 Gases Today’s Lecture 5.6 The Kinetic Molecular Theory of Gases 1 Kinetic Molecular Theory of Gases the kinetic molecular theory of gases is a simple model that attempts to explain the properties of an ideal gas l postulates: the volume of the individual gas particles is assumed to be negligible the collisions of the gas particles with the walls of the container are assumed to be the cause of the pressure exerted by the gas 2 the gas particles are assumed not to exert forces on each other the average kinetic energy of a collection of gas particles is assumed to be directly proportional to the Kelvin temperature of the gas
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2 Quantitative Kinetic Molecular Model consider a single ideal gas particle of mass m, moving with a velocity u, in a rapid, random, straight-line motion colliding with the walls of a cubic container with sides each of length L we want to compute the force imparted to the walls of the L the collisions will be assumed to be elastic 3 container as a result of the collision of the gas particle with the walls of the container mu is the momentum of the particle (mass x velocity) Δ Δ = Δ Δ = = t mu t u m ma F Steps Involved derive an equation for the change in momentum of a particle impinging on one set of parallel walls derive an equation for the force of a particle impinging on one set of parallel walls derive an equation for the total force of a particle impinging on all 6 walls (of the cubic container) using P = F/A , derive an expression for the total pressure
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