Prelim_I_Chem288 - Chemistry 288 Preliminary Exam I Spring...

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Unformatted text preview: Chemistry 288 Preliminary Exam I Spring 2004, Marohn CHEMISTRY 288 Prof. John A. Marohn PRELIMINARY EXAM I Thursday, March 11, 2004 7:30 PM to 9:00 PM Please do not open this exam until you are instructed to do so. You have 90 minutes to complete this exam. There are eleven numbered pages in this exam, including this cover sheet. Check to make sure you have a complete exam before beginning. The last page contains a number of constants and equations that you may or may not require. You may tear off the last page for easy access. Write directly on these pages. Show all work for full credit. Indicate UNITS where appropriate. Your name: 1 of 12 Chemistry 288 Preliminary Exam I Spring 2004, Marohn 1 . (20) 2 . (21) 3 . (20) 4 . (19) 5 . (20) Total . (100) 2 of 12 Chemistry 288 Preliminary Exam I Spring 2004, Marohn 1. Two level system . The following formula is the multiplicity function for a system consisting of a collection of N particles having two energy levels each, where s is the so-called spin excess. g ( N, s ) = 2 N parenleftbigg 2 N parenrightbigg 1 / 2 exp ( 2 s 2 N ) (a) What approximations went into deriving g ( N, s )? (b) What are the allowed values of s ? What does s mean physically? (c) Calculate and then sketch the systems entropy as a function of s : 3 of 12 Chemistry 288 Preliminary Exam I Spring 2004, Marohn Two level system (continued) (d) Calculate and then sketch the systems temperature as a function of s : (e) Suppose I begin with s = N . If I want to increase the systems temperature, then should I raise or lower s ?...
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Prelim_I_Chem288 - Chemistry 288 Preliminary Exam I Spring...

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