5_60_lecture24

5_60_lecture24 - MIT OpenCourseWare http://ocw.mit.edu 5.60...

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Unformatted text preview: MIT OpenCourseWare http://ocw.mit.edu 5.60 Thermodynamics & Kinetics Spring 2008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms . 5.60 Spring 2008 Lecture #24 page 1 STATISTICAL MECHANICS Properties of Individual Atoms/Molecules H = E Macroscopic Statistical Thermodynamic Properties Mechanics G 0 = H 0 S T = RT ln K p Goal of Statistical Mechanics: to describe macroscopic, thermodynamic properties in terms of microscopic atomic & molecular properties Properties of a system can be described at two levels: 1) Macroscopic thermodynamic description e.g. p, V, n, C V , H, A, G ,.. 2) Microscopic description Specify the state of each molecule! Use classical or quantum mechanics More than 10 23 variables! And need to update them every 10-15 s or so! Either classical or quantum description is impractical. Statistical mechanics describes macroscopic mechanics in statistical terms, i.e. in terms of average or most probable results. Probability of system in a state with given energy What is functional form? For independent energies i and j the joint probability should be the product: P ij ( i + j ) = P i ( i )P j ( j ) ( i + j ) C i C Suggests exponential form P ij ( i + j ) e C = e e j (C constant) 5.60 Spring 2008 5....
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This note was uploaded on 11/27/2011 for the course CHEM 5.43 taught by Professor Timothyf.jamison during the Spring '07 term at MIT.

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5_60_lecture24 - MIT OpenCourseWare http://ocw.mit.edu 5.60...

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