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ME104_FinalExam_Solutions_Spring2009_NoRestriction

ME104_FinalExam_Solutions_Spring2009_NoRestriction -...

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NAME___ SOLUTIONS _______ INSTRUCTOR :(circle one) Kalnitsky 8am Levy 9am Smith 10am Oztekin 10am Macpherson 11am LEHIGH UNIVERSITY DEPARTMENT OF MECHANICAL ENGINEERING AND MECHANICS ME 104 — THERMODYNAMICS I Final Exam (Closed Books and Notes) SPRING 2009 ______________________________________________________________________________ INSTRUCTIONS: 1. No unauthorized books, notes, or other similar materials are permitted. 2. Use thermodynamic tables provided as necessary. 3. Information stored in the memory of a calculator can not be used in the exam and receives no credit. 4. Show all your assumptions clearly. 5. Show ALL the steps in the solution of problems, both analytical and numerical, ON PAPER to receive credit. 6. LEGIBILITY is essential or the exam can not be graded properly . ______________________________________________________________________________ Problem No. Points Grade 1 25 2 25 3 25 4 25 5 25 6 25 Total 150 The below set of thermodynamic equations may be useful. C P = R + C v C P / C v = k T dS = dU + P dV T dS = dH - V dP Δ s = C v dT / T + R ln ( v 2 / v 1 ) Δ s = C v,ave ln ( T 2 / T 1 ) + R ln ( v 2 / v 1 ) Δ s = C P dT / T - R ln ( P 2 / P 1 ) Δ s = C P,ave ln ( T 2 / T 1 ) - R ln ( P 2 / P 1 ) Δ s = s 2 0 - s 1 0 - R ln ( P 2 / P 1 ) P 2 / P 1 = P r2 / P r1 v 2 / v 1 = v r2 / v r1 P 2 / P 1 = ( v 1 / v 2 ) k T 2 / T 1 = ( P 2 / P 1 ) (k – 1)/k T 2 / T 1 = ( v 1 / v 2 ) k – 1 η C = w s / w a η T = w a / w s
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