Lecture 10

Lecture 10 - Chem 338 Lecture 10 The Second Law 1 The Arrow...

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Chem 338 C h em 3 3 8 L e c t u r e 1 0 The Second Law 1. The Arrow of time: 2. Entropy: dS = dq rev /T 3. The Second Law: a. b. Δ S(Universe) rev = 0 c. Δ S(Universe) irr > 0 4. Interpretation: S = k B ln W 5. Calculation: 0 dS = v rev Sd S Δ=
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Chem 338
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Chem 338
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Chem 338 2. Entropy: dS dq rev /T 3. The Second Law: a. b. Δ S(Universe) rev = 0 c. Δ S(Universe) irr > 0 0 dS = v
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Chem 338
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Chem 338 Boltzmann: S = k B ln Ω
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Chem 338
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Chem 338
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Chem 338
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Chem 338
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Chem 338 First Law: Calculate 1 st , 2 nd , 3 rd . Path Type q w Δ U A dT =0 2 1 V Uw R T V ⎛⎞ Δ− = ⎜⎟ ⎝⎠ ln 2 1 2 1 V V V PdV RT V −= ln 0 B dq =0 0 2 1 V V PdV 2 1 T V T CdT C dV =0 1 2 T V T 0 1 2 T V T B+C 1 2 T V T 2 1 T V T wUq C d T =− = 0 0 dU = v
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Chem 338 First Law: Calculate 1 st , 2 nd , 3 rd . Path Type q w Δ U A dT =0 2 1 V Uw R T V ⎛⎞ Δ− = ⎜⎟ ⎝⎠ ln 2 1 2 1 V V V PdV RT V −= ln 0 B+C 1 2 T V T CdT 2 1 T V T wUq C d T =− = 0 D dP =0 () 3 1 12 1 T V T CdT PV V +− -P 1 ( V 2 - V 1 ) 3 1 T V T E dV =0 1 3 T V T 0 1 3 T V T
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Lecture 10 - Chem 338 Lecture 10 The Second Law 1 The Arrow...

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