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Lecture 15 - Chem 338 Phase Equilibria 1 Phase Diagrams 2...

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Chem 338 Chem 338 Lecture 15 Phase Equilibria 1. Phase Diagrams. 2. Open Systems: Chemical Potential, μ 3. Clapeyron Equation: 4. Clausius Clapeyron Equation (IG): 5. Chemical Potential from Statistical Mechanics: , , , , S V S P V T P T U H A G n n n n μ = = = , B V T Q k T n μ = − ln 0 G P H T T V Δ = Δ = Δ 2 0 1 vap vap G H P P T RT Δ = Δ =
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Chem 338 1. Phase Diagrams. a. MP ( P ) b. ρ l ( T C ) = ρ v ( T C ) c. Δ H vap ( T C ) = 0
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Chem 338 d. dU dq dw TdS PdV + = ( ) dH dU d PV TdS PdV PdV VdP TdS VdP + = + + = + 0 ( ) T P dG dH d TS TdS VdP TdS SdT dP dT S V G V S T P G = = − < = + = P P H C T = P P C S T T =
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Chem 338 e. 0
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