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02-mte1 - PHY 3062 Thermal Physics Mid-term Examination 1...

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Unformatted text preview: PHY 3062 Thermal Physics: Mid-term Examination 1 Professor Mark W. Meisel, Department of Physics, University of Florida 20 September 2001 1. Brief, to-the-point responses please. A. (4 points) on a P versus T graph, sketch a typical phase diagram for a material that contracts on freezing. You need to label all phases, all lines, and all important points. B. (5 points) For a reversible, isothermal process involving an ideal gas, how much work is needed to move the system from V1 to V2? C. (4 points) Consider the following expression and state if it is an exact differential. Justify your answer. The expression is rdx = (3y2 + 4yz)dy + (2yz + y2)dz V D. (2 points) Is it possible to have the solid, liquid, and gas phases of a substance coexisting in equilibrium? If no, why not. If yes, give an example. 2. (7 points) A glass bottle of nominal capacity 250 cm3 is filled brim full of water at 20°C. If the bottle and contents are heated to 50°C, how much water spills over? (For water under these conditions, cP = 4200 J kg‘1 K‘1 and ,6 = 0.21 x 10‘3 K4. Assume that the expansion of the glass is neglibible.) 3. During the ascent of a meteorological balloon, its volume increases from 1 m3 to 1.8 m3, and the pressure of the ideal gas inside the balloon decreases from 1 bar to 0.5 bar. The internal energy of the gas is U = aT, where or is 800 UK. A. (4 points) Assume that in this process (the ascent) V = AP + B. Find A and B. B. (4 points) If the initial temperature is 300 K, what is the final temperature? C. (6 points) How much work is done by the gas in the balloon? D. (4 points) How much heat does it absorb? V4. (10 points) A long U—tube, as shown in the figure, has uniform cross section A and contains a fluid with density p to the depth shown. This fluid rises to a height h as shown in the figure, where x/Z < h. The barometn'c pressure is P0. The left side of the tube is now closed at the top, and the right side is connected to a good vacuum pump. The fluid level drops a distance 13 on the left side while rising by the same distance on the right side. Derive the quadratic equation that is necessary to solve for Z in terms of h, Po, p, and g which is the acceleration due to gravity. / A x A 1 ’ k “l 12 i , , 1 1n. ‘1 2 L. k ...
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