Physical Chemistry 3rd Midterm Test 2017上.pdf

Physical Chemistry 3rd Midterm Test 2017上.pdf - Physical...

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Physical Chemistry 3 rd Midterm Test (2017/12/21) 1. Please select the equal result (a-d) to (e-f) as the following differential equation. (hint: four exact differentials are dU = TdS – pdV, dG = Vdp – SdT, dH = TdS + Vdp and dA = -pdV – SdT) (8 points) 2. Please write T for (1) a perfect gas (PV=nRT) 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) (1) T for a perfect gas =_____________ (2) T for a van der Waal gas =_____________ 3. 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) 4. Consider a system consisting of 1.5 mol CO 2(g) , initially at 15°C and 9.0 atm and confined to a cylinder of cross-section 100.0 cm 2 . The sample is allowed to expand adiabatically against an external pressure of 1.5 atm until the piston has moved outwards through 15 cm. Assume that carbon dioxide may be considered a perfect gas with C V ,m = 28.8 J K −1 mol −1 , and calculate (a) q , (b) w , (c) Δ U , (d) Δ T , (e) Δ S . (15 points)
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5. Calculate the change in the entropies of the system and the surroundings, and the total change in entropy , when a sample of N 2
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