Adiabatic Invariant: Modifying Entropy Derivation by Laura

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lark
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I modified an incorrect derivation of entropy from phase space volume of a gas in the Wikipedia entry
http://en.wikipedia.org/wiki/Adiabatic_invariant "Adiabatic expansion of an ideal gas"
and I'd like to know if my modified derivation is also incorrect somehow. I realize it doesn't include QM, but I tried to write a sensible classical derivation.
Adiabatic invariants are fascinating to me - I just got exposed to them and interested in the different contexts where they appear. Slowly shortening pendulum, etc.
Laura
 
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