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PHYS427fa08_HW08

PHYS427fa08_HW08 - Physics 427 Fall 2008 Homework 8 October...

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Unformatted text preview: Physics 427 Fall 2008 Homework # 8 October 13; due October 20, 2008 1. 2. 3. Kittel and Kroemer: Chapter 6; Problem 6; "Entropy of mixing". Kittel and Kroemer: Chapter 6; Problem 9. "Gas of atoms with internal degrees of freedom". Kittel and Kroemer: Chapter 6; Problem 10. "Isentropic relations of an ideal gas". The following steps are recommended: a.) write down the equation ( ,V) = N( log 3/ 2 + log V + const. ) + int ( ) where "const." is independent of and V, and int() is independent of V. b.) Substitute V = N/p (an equation that still holds for an ideal gas, even if each molecule has internal degrees of freedom) to find (,p). c.) From the two expressions for that you now have written down, find Cv and Cp d.) Subtract Cv from Cp and then show that CV = N / ( - 1), and C p = N / ( - 1). e.) Finish the problem, and show that the differential equations you have derived can be integrated to obtain Equations 66, 67, and 68 in Chapter 6. 4. 5. Kittel and Kroemer: Chapter 6; Problem 12. "Ideal gas in two dimensions". Kittel and Kroemer: Chapter 6; Problem 14. "Ideal gas calculations" ...
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