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# hw1 - that is determine f(T L/n 3 Imagine an ensemble with...

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CHM 6461 Homework #1 Due Wednesday Jan 21 st Come to class ready to explain any (and all) of these problems to your classmates 1. Plot the number of ways that N (N=20) distinguishable particles can be separated in 2 groups with n 1 = 0,1,2. ..,N elements in each group 2. (Chandler’s excercise 1.2) An equation of state for a rubber ban is either 0 1 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 1 3 with 2 2 or 1 3 with 2 2 nE L L E L S L L L nl L L L L L S L e L L nl L L θ γ = - + - = = - + - = where γ , l 0 , and θ are constants, L is the length of the rubber band, and the other symbols have their usual meaning. Which of the two possibilities is acceptable? Why? For the acceptable choice deduce the dependece of the tension, f , upon T and L/n
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Unformatted text preview: ; that is determine f(T, L/n) . 3. Imagine an ensemble with total energy = E (with E = 6). Divide the ensemble in 8 systems ( A = 8) with possible e i values of 0,1,2. ..,6 a. Construct each of the possible distributions of a i (there are 11 of those) b. Evaluate the number of times that each distribution will be repeated c. For the particulr case {a i } ={2,6,0,0,0,0,0}. Label each system they are distinguishable!) and construct all the possible combinations yielding this distribution 4. McQuarrie 1.29 5. McQuarrie 1.46 6. McQuarrie 1.62...
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