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A midterm exam for thermal physics 224, held on november 19, 2007. The exam includes questions related to the generalized thermodynamic identity and the sackur-tetrode equation for the entropy of an ideal monatomic gas. The exam is closed-book and students are not allowed to bring notes or calculators.
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Page 1 Name __________solutions___________ Thermal Physics 224 Second midterm 9.30 am, Monday November 19, 2007 Autumn 2007 Instructor: David Cobden
Do not turn this page until the buzzer goes at 9.30. You must hand your exam to me by the time Ileave the room at 10.25.
Attempt all the questions. Please write your name on every page and your SID on the first page. Write all your working on these question sheets. Use this front page for extra working. It is important to show your calculation or derivation. Some of the marks are given for showing clear and accurate working and reasoning. Watch the blackboard for corrections or clarifications during the exam. This is a closed book exam. No books, notes or calculators allowed.
The generalized thermodynamic identity is ܷ݀ܰ݀ߤ ܸ݀ െ ܵ݀ܶൌ. (i) The Sackur-Tetrode equation for the entropy of an ideal monatomic gas is
ܵ݇ܰൌ ቈln ቊ (^) ே ቀସగଷே మ ቁ
యమ ቋ ହଶ. (ii)