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Chapter 14 (III) - ∞ − 3 Most probable speed v m 4...

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14.5 Maxwell Distribution of Molecular Speeds , ) ( ) ( , ) ( ) ( ) ( / / kT kT e Z N d g d N e Z N d g d N f ε ε ε ε ε ε ε ε ε ε ε = = = . ) 2 ( 2 / 3 2 h mkT V Z π = Now, we want to apply Maxwell-Boltzman distribution of particles among energy levels to the speed distribution of an ideal gas. From M-B stat., we have where N( ε )d ε is the number of molecules in the energy range of ε to ε +d ε . For an ideal gas, . 2 4 ) ( 2 / 1 2 / 3 3 ε ε π ε ε d m h V d g =
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