midterm2_solutions

midterm2_solutions - University of South Carolina...

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Unformatted text preview: University of South Carolina Department of Physics and Astronomy Phys 706, Thermodynamics and Statistical Physics. Midterm # 2 March 4, 2011 The test is open book/notes. You can use any materials you like. If you need extra paper or you forgot a calculator – please ask. There are 3 problems, each worth 10 points. It is enough to solve one problem to get a full credit. Choose any one you like. If you solve more, you will get extra credit. If you have a question about the problem’s formulation – please do not hesitate to ask. I will either answer your question or will tell you that I cannot do it without revealing the solution. Your solutions should have a readable form showing the flow of argument. You have to be able to express yourself in writing. Writing skills are important for any scientist. They are not just making your solutions look nicer. If you cannot explain yourself clearly, you probably do not understand what you are doing. You can still try to guess the answer for a problem. If the solution is a number or an expression, I will accept your answer (guessing will not be accepted for problems where the answer is “yes” or “no”). However, if no explanations are given, only correct answers will be graded positively. There will be no partial credit in the absence of correct, readable explanations. GOOD LUCK! 1 Helium balloons You run a business selling helium-filled balloons at the local Zoo. The balloons are popular and you decide to by a machine that will automatically compress helium and fill the balloons. Going to www.ebay.com you you find the following offer. A machine takes He at the atmospheric pressure P = 10 5 N/m 2 and room temperature T = 300 K. It fills each balloon with He at the pressure of P 1 = 1 . 1 P . The volume of a filled balloon is 10 liters. The properties of He are very close to those of an ideal gas.a filled balloon is 10 liters....
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midterm2_solutions - University of South Carolina...

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