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Unformatted text preview: * 2 * 1 P P is greater than one. Moreover since 2 1 x < < the denominator of * 2 * 1 * 2 2 * 1 1 ( 1) P P P x P +can only take on a value in between the values given by 2 0, 1 x = that is * 2 2 2 2 * 1 P x y x P < < . Since * 2 * 1 P P > 1 and 2 1 x < < , 2 2 y x . Conversely, if * 2 P < * 1 P then * 2 * * * * * 1 2 2 1 1 1 2 * * 2 2 1 ( ) (1 ) P P x P P P P x P P ⇒ ++by inspection it follows that this term is always less than one which means 2 2 y x < ....
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 Fall '08
 Gruebele,M
 Thermodynamics, Statistical Mechanics, Entropy, Hermann von Helmholtz, Helmholtz free energy

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