Lecture 17

Lecture 17 - Chem 338 Lecture 17 Keq(T ) from Partition...

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Chem 338 C h em 3 3 8 L e c t u r e 1 7 K eq ( T ) from Partition Functions 1. Partition Functions: 2. Fugacities: K f ( T ) = ( f C ) c ( f D ) d /( f A ) a ( f B ) b 3. Solutions: activities 4. The Debye-H ű ckel limit for dilute solutions () C D AB c d eq ab aA bB cC dD q q VV KT qq + →+ ⎡⎤ ⎢⎥ ⎣⎦ =
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Chem 338
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Chem 338 From Lecture 15: , , , , B B TV B VT AUT S U UT k Q T Ak T Q A dA SdT PdV dn n A n Q kT n Q RT N μ ≡− ⎛⎞ =− + ⎜⎟ ⎝⎠ + = ln ln ln ln ( ) 1 1 ! ! B N B B B BB B B B B B B B B B B B B q Q N QN q N Nq NN N Q qN N q N q RT N = + + = ln ln ln ln ln ln ln ln ln ln
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Chem 338 Back to the reaction: at equilibrium: () AB YZ A gB g Y gZ g ν νν + + U AA BB YY ZZ ABY Z Y Z Z Y Z Y Z Y Z qq RT NN νμ +=+ ⎧⎫ ⎛⎞ ⎪⎪ −+ = + ⎨⎬ ⎜⎟ ⎝⎠ ⎩⎭ = ln ln ln ln Y Z Y Z A B A B q q q q =
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Chem 338 for the reaction: () AB YZ A gB g Y gZ g ν νν + + U [] [ ] Y Z Y Z A B A B Y Z Y Z eq A BA B A B A B NN q q q q q q VV V V KT q q V V = ⎛⎞ ⎜⎟ ⎝⎠
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Lecture 17 - Chem 338 Lecture 17 Keq(T ) from Partition...

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