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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 socalled spin excess. g ( N, s ) = 2 N parenleftbigg 2 πN 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 system’s 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 system’s temperature as a function of s : (e) Suppose I begin with s = − √ N . If I want to increase the system’s temperature, then should I raise or lower s ?...
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This note was uploaded on 09/28/2008 for the course CHEM 2880 taught by Professor Freed, j during the Spring '06 term at Cornell.
 Spring '06
 FREED, J
 Chemistry, pH

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