MSE 308 Problem Set 10 Solutions

# MSE 308 Problem Set 10 Solutions - MSE 308 Thermodynamics...

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MSE 308 Dept. of Materials Science & Engineering Thermodynamics of Materials Spring 2005/Bill Knowlton Problem Set 10 Solutions 1. We derived Einstein’s famous crystal model in class. Repeat the exercise explaining all assumptions and steps. 1 of 8

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MSE 308 Dept. of Materials Science & Engineering Thermodynamics of Materials Spring 2005/Bill Knowlton 2. For each Einstein temperature, θ E , of 100K, 200K, 300K, and 500K, use a computer program other than Excel to calculate and plot the: a. partition function 0 100 200 300 400 500 T H K L 0 0.5 1 1.5 2 2.5 P θ E :1 0 0K = Blue ;200 K = Red ;300 K = Green ;500 K = Magenta b. C v for the Einstein model as a function of given E hv T k = . Consider the system as a simple cubic Einstein crystal. Of interest is the range of temperatures from 0-500K. Your plot should be similar to figure 6.1 in Gaskell. Use a mathematical program that is NOT
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MSE 308 Problem Set 10 Solutions - MSE 308 Thermodynamics...

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