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176-final-exam-05-06-10

176-final-exam-05-06-10 - Print your name clearly Signature...

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Print your name clearly: Signature: “I agree to neither give nor receive aid during this exam.” Physics 176 Final Exam Professor Greenside Thursday, May 6, 2010 Please read the following carefully before starting the test: 1. This exam is closed book and will last the entire exam period. 2. No calculators or other electronic devices are allowed. 3. Please hand in your two pages of notes with your exam (and put your name on the two pages). 4. Look over the entire exam and get a sense of its length, what kinds of questions are being asked, and which questions are worth the most points. 5. Answer the true-false and multiple choice questions on the exam itself. Answer all other questions on the extra blank pages. If you need extra pages during the exam, let me know. 6. Please write your name and the problem number at the top of each extra page. 7. Please write clearly. If I can not easily understand your answer, you will lose credit. 8. Unless otherwise stated, you must justify any written answer with enough details for me to understand what you are doing. 9. If you are not sure about the wording of a problem, please ask me during the exam. 1
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Problems That Require Writing Please write your answers to the following problems on extra blank sheets of paper. Also make sure to write your name and the problem number at the top of each sheet. Unless otherwise stated, you need to justify your answers to get full credit . 1. (10 points) Sketch qualitatively correct graphs of the Gibbs free energy G = U - TS + PV versus temperature T for the three phases of water (ice, water, and steam) at atmospheric pressure. You should draw your three graphs on the same set of axes so that you can see how they imply which phase is stable at a given temperature. Also make sure to indicate where on your temperature axis T = 0 C and T = 100 C. 2. (20 points) Consider the following 3-step cyclic process A B C A in the pressure- volume plane that characterizes an ideal monoatomic gas: the gas starts at point A = ( V 0 , P 0 ) with initial temperature T 0 , initial pressure P 0 and initial volume V 0 . The gas then expands isobarically to point B = (2 V 0 , P 0 ), is then compressed by following a straight line segment from point B to the point C = ( V 0 , 2 P 0 ), and finally the gas is brought back to the the point A by an isochoric process. After this cycle is carried out once, determine (a) the total change in energy Δ U of the gas; (b) the total heat Q added to the gas; (c) the total work W done on the gas; (d) the total change in temperature Δ T of the gas; (e) the total change in entropy Δ S of the gas. Assume that each step is carried out quasistatically (the gas and environment are always in thermo- dynamic equilibrium). 3. (10 points) Estimate to the nearest power of ten how many candy bars you would have to eat during a 24-hour period to supply the energy that you lose to the surrounding environment via blackbody radiation from your skin. To simplify this problem, assume that during this 24-hour period you are
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