Lecture 5 - Chem 338 Partition Functions: U and P(V,T)...

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Chem 338 C h em 3 3 8 L e c t u r e 5 Partition Functions: U and P(V,T) 1. Partition Functions - Sum of States ( Zustandssumme ): 2. Internal Energy, U or E : a. E { E j , g j , T } b. Heat Capacity, C V : 3. Molar Partition Function from Molecular Partition Function: (indistinguishable molecules) 4. Equations of State, P(V,T) : j B j j T k g Z Q ε exp V N B T Q T k U , 2 = ln V N V T U C , ( ) , ln This relationship allows us to determine the equation of state from the quantum mechanical behavior of individual molecules. B NT Q Pk T V = [] ! ) , ( A N N j j N T V q q Q A A = =
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Chem 338 2 2 1 1 ,, , exp j j j B NV jj j j B B j j B B j j j B Qg kT QQ TQ T g Qk T g Q T g ⎡⎤ = ⎢⎥ ⎣⎦ ∂∂ ⎛⎞ = ⎜⎟ ⎝⎠ = = ln ln E EE
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Chem 338
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Chem 338
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Chem 338
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This note was uploaded on 06/28/2010 for the course CHEM 338 taught by Professor Petersson during the Spring '10 term at Wesleyan.

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Lecture 5 - Chem 338 Partition Functions: U and P(V,T)...

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