N-Ch5b.pdf - What is an Ideal Gas(Assumptions of the Kinetic-Molecular Theory of Gasses Chapter 5 Size of particles is negligible in comparison with the

# N-Ch5b.pdf - What is an Ideal Gas(Assumptions of the...

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Chapter 5 GASES AND THE KINETIC-MOLECULAR THEORY THE KINETIC-MOLECULAR THEORY What is an Ideal Gas?(Assumptions of the Kinetic-Molecular Theory of Gasses) Size of particles is negligible in comparison with the volume of the container (particle is a point mass). Except for the collisions, particles do not interact (no attraction nor repulsion). Between collisions a particle moves in a random direction, but in a straight line with constant velocity. The kinetic energy and the momentum (magnitude and direction) of a particle change during each collision. However, the average kinetic energy of the particles remains constant at constant temperature. Conclusions of the Kinetic-Molecular Theory of Gasses: Temperature is a measure of the average kinetic energy of gas particles. for one gas particle: KE = 3 2 k T k is Boltzman constant for one mole of gas KE = 3 2 R T R ideal gas constant Mean (average) square speed of a particle: KE = 1 2 m u 2 = 3 2 k T ) u 2 = 3 k T m = 3 R T M root mean square speed: u rms = p u 2 = q 3 R T M
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