Lecture 8 - Chem 338 The First Law Lecture 8 1. Definitions...

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Chem 338 C h em 3 3 8 L e c t u r e 8 The First Law 1. Definitions a. System vs. Surroundings b. Open, Closed, Isolated c. Reversible vs. Irreversible d. Work: dw = -PdV , Heat: dq e. Internal Energy: dU = dq + dw f. Isothermal, Isobaric, Isochoric, Adiabatic dT = 0 dP = 0 dV = 0 dq = 0 2. First Law: 3. Adiabatic Path: 0 dU = v () 11 2 2 22 12 aa PV b P V b VV γ ⎛⎞ +− = + ⎜⎟ ⎝⎠
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Chem 338 a. System vs. Surroundings b. Open, Closed, Isolated
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Chem 338 c. Reversible vs. Irreversible
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Chem 338 d. Work: dw = -PdV , Heat: dq e. Internal Energy: dU = dq + dw
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Chem 338 2. First Law: 0 dU = v
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Chem 338
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Chem 338
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Chem 338
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Chem 338 Ideal Gas: all paths lead to Δ U.
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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
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Lecture 8 - Chem 338 The First Law Lecture 8 1. Definitions...

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