Lecture 2 - Chem 338 Lecture 2 Micro to Macro: Molecular...

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Chem 338 C h em 3 3 8 L e c t u r e 2 Micro to Macro: Molecular Interactions 1. Liquid – Vapor Transitions 2. The Critical Point: P C , V C , and T C 3. Corresponding States: P/P C , V/V C , and T/T C 4. Virial Expansions: Z = PV/RT = 1 + B 2V (T)V -1 + B 3V (T)V -2 + a. Clausius Virial Theorem: PV/RT = 1 3/ kT < RdØ ( R ) /dR > b. Rayleigh’s Equation: PV/RT = 1 + 2 π N 2 kT / V [1 e ( R )/ kT ] R 2 dR 5. Dispersion Forces: Ø ( R ) = C 6 / R 6 6. Square Wells and the van der Waals Eq. : B 2V ( T ) = b a/RT
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Chem 338 1. Liquid – Vapor Transitions
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Chem 338 2. The Critical Point Although the material constants a and b in the usual form of the van der Waals equation differs for every single fluid considered, the equation can be recast into an invariant form applicable to all fluids. Defining the following reduced variables , where The first form of the van der Waals equation of state given above can be recast in the following reduced form: This equation is invariant (i.e., the same equation of state, viz., above, applies) for all fluids.
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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 2 - Chem 338 Lecture 2 Micro to Macro: Molecular...

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