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13_-_Kinetic_Theory

13_-_Kinetic_Theory - 13 Kinetic Theory of Gasses The View...

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13 – Kinetic Theory of Gasses Ludwig Boltzmann ~1890 Available energy is the main object at stake in the struggle for existence and the evolution of the world. James Clerk Maxwell 1855 2 The View from 30,000 feet We have a model for main sequence stars. White dwarfs cannot be fit by these models. In order to understand the problem we have to bring in some quantum mechanics. In particular the Pauli exclusion principle. From there we can predict a huge gas pressure even at zero temperature. Neutron stars are white dwarfs except they are depending on neutron degeneracy. Black holes are the end of the line. 3 The Plan Why does confining a gas (air) in a small chamber produce a pressure? The ideal gas law: – PV = NRT N number of moles – P = nkT n number of “atoms”/cm 3 . The connection of the macro and micro views of gas pressure: – P = nkT – P = 2/3 n{KE} Degenerate gasses: pressure at T=0. 4 Sun Degenerate gas pressure Homogeneous Inhomogeneous M < 0.08Mo will not burn H M>50Mo will be unstable O B A F G K M HR Diagram
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5 Ideal Gas Law x
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