19-Kinetic Molecular Theory

19-Kinetic Molecular Theory - Kinetic Molecular Theory B A...

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Kinetic Molecular Theory B. A. Rowland 53750/53760 Kinetic Molecular Theory of Gases Kinetic Molecular Theory (KMT) was developed by Clausius, Maxwell, and Boltzmann in the 19 th century to provide a theoretical justification for the behavior of ideal gases (until this point all evidence was empirical). KMT provides strong evidence for the atomic theory of matter. There are four central assumptions one makes when applying KMT: 1. Gas particles have no volume. 2. Gas particles are in random motion. 3. There are no IMFs between gas particles (they travel in straight line paths). 4. Collisions by the gas particles with the walls of the container are elastic; that is, they lose no energy. KMT Derivations I, II, III Slides shown for your curiosity. You do not need to know this derivation. However, you do need the resulting equation from this derivation: In this expression, R takes on the value of 8.3145 J K -1 mol -1 . This is because we are now dealing with units of energy, and we express energy in terms of Joules (J). There are two things to note in this equation: 1. Kinetic Energy is proportional to the temperature: this means that temperature is proportional to the average of all the velocities of all the gas particles in the sample. 2. This is true for all ideal gases, regardless of their identity. Practice Problem 1:
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This note was uploaded on 02/02/2009 for the course CH 53750 taught by Professor Rowland during the Spring '09 term at University of Texas.

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19-Kinetic Molecular Theory - Kinetic Molecular Theory B A...

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