Physics for Scientists and Engineers, Vol. 1
Physics for Scientists and Engineers, Vol. 1
6th Edition
ISBN: 9781429201322
Author: Paul A. Tipler, Gene Mosca
Publisher: Macmillan Higher Education
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Chapter 38, Problem 35P
To determine

The molar specific heat at constant volume.

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Grüneisen parameter for silicon The silicon crystal (diamond structure) has the following properties at 500 K. The lattice parameter (a) = 0.5440 nm, thermal expansion coefficient (a) = 3.6x106 K-', and the bulk modulus is about the same as that at room temperature (K = 99 GPa). The Debye temperature of Si is 625 K. At room temperature (300 K) its density is 2.33 g cm³, and its lattice constant is 0.5430 nm. Calculate the Grüneisen parameter at 500 K and compare with its value at room temperature in Table 1. Is 3 constant?
The Fermi energy of silver is µF = 5.51 eV. a) Calculate µ(7) of Ag at T = 400 and 4000 K. b) What is the rms speed of electrons at 0 K? What is the Fermi velocity? c) Plot the Fermi function at 0 and 4000 K in one graph and discuss the differences.
Q3/ An experiment was conducted to find the relationship between the specific heat of potassium metal and the temperature, and it was found that this relationship takes the following formula at low temperatures 2.08 +2.57 T2 What is the value of each of: (1) the fermi temperature of potassium? (b) Debye temperature of potassium? Note that specific heat is measured in units of mj / mol / K.
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