Kinetic Molecular Theory

Kinetic Molecular Theory - Kinetic Molecular Theory Chapter...

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Kinetic Molecular Theory – Chapter 21 Let’s derive the famous equation: M RT u 3 = where u = “average” speed and M = Mol.Wt. [u is actually the root mean square (rms) speed] What is Pressure? Area Force P = But what causes this Force? It is the collisions that the gas molecules make with the surface of the container (or balloon). The more molecules, the higher the pressure, and the more collisions the molecules make. So, let’s derive this force that the molecules exert on the container. What is Force? t v m dt dv m a m force that recall = = = When a molecule strikes the wall and is bounced back, its initial velocity, v, is converted into –v. So, the force for this one molecule will be given by: L mv v L v m t v m F x x x x 2 2 2 = = = And the pressure will be given by: V mv LA mv A F P x x 2 2 = = = where V is the volume of the container. So far, we have only considered the velocity in the x-direction. But, we are generally more interested in the speed of the molecule, u. In three dimensions, the resulting speed from molecules having
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This note was uploaded on 03/14/2011 for the course CHEM 481 taught by Professor Berkowitz during the Spring '09 term at UNC.

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Kinetic Molecular Theory - Kinetic Molecular Theory Chapter...

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