Physical Chemistry 3rd Midterm Test 2016上.doc

Physical Chemistry 3rd Midterm Test 2016上.doc - Physical...

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Physical Chemistry 3 rd Midterm Test (2016/12/22) 1. Please write Maxwell relations according to these exact differentials (12 points) a. dU = TdS - pdV b. dG = Vdp - SdT c. dH = TdS + Vdp d. dA = -pdV - SdT 2. Please calculate T for (1) a perfect gas and for (2) a van der Waal gas (hint: p v T p T T , van der Waals equation: 2 m m V a b V RT p ) (6 points) 3. Calculate the root mean square speeds of (a) CO 2 molecules and (b) He atoms at 27 o C. (hint: v rms = M RT 3 ) (4 points) 4. a. Please decide each degree of freedom of (a), (b) and (c) point in the one- component phase. (hint: F=C-P+2) (6 points) b. What is the maximum number of phases that can be in mutual equilibrium in a four-component system? (3 points) 5. a. Prove the Clapeyron equation ( V T H dT dp vap vap ) for the liquid-vapor boundary. Starting from the relation of d liquid d vapor (5 points) b. Prove the Clausius-Clapeyron equation ( 2 ln RT H dT p d vap ) from Clapeyron equation. (5 points) c. Please calculate the slopes ( 2
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