. a) If the classical theory of specific heat were valid, what would be the thermal energy of one mole of Cu at the temperature T=0D? The Debye temperature for Cu is 340°K. b) Calculate the actual thermal energy according to the Debye theory (use Fig. 3.13), and compare with the classical value obtained above. (For the purpose of this calculation, you may approximate the Debye curve by a straight line joining the origin to the point on the Debye curve at T=0p.) c) What is the order of magnitude of the maximum displacement of a Cu atom at the Debye temperature? Compare this displacement with the interatomic distance. C., cal/g-mol - "K Cu, 343°K Ag. 226°K ■ Pb, 102°K x C, 1860°K 0.5 T/OD Fig. 3.13 Specific heats versus reduced temperature for four substances. Numbers refer to Debye temperatures. Note the high Debye temperature for diamond.
. a) If the classical theory of specific heat were valid, what would be the thermal energy of one mole of Cu at the temperature T=0D? The Debye temperature for Cu is 340°K. b) Calculate the actual thermal energy according to the Debye theory (use Fig. 3.13), and compare with the classical value obtained above. (For the purpose of this calculation, you may approximate the Debye curve by a straight line joining the origin to the point on the Debye curve at T=0p.) c) What is the order of magnitude of the maximum displacement of a Cu atom at the Debye temperature? Compare this displacement with the interatomic distance. C., cal/g-mol - "K Cu, 343°K Ag. 226°K ■ Pb, 102°K x C, 1860°K 0.5 T/OD Fig. 3.13 Specific heats versus reduced temperature for four substances. Numbers refer to Debye temperatures. Note the high Debye temperature for diamond.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:. a) If the classical theory of specific heat were valid, what would be the thermal
energy of one mole of Cu at the temperature T=0D? The Debye temperature
for Cu is 340°K.
b) Calculate the actual thermal energy according to the Debye theory (use Fig.
3.13), and compare with the classical value obtained above. (For the purpose of
this calculation, you may approximate the Debye curve by a straight line joining
the origin to the point on the Debye curve at T=0p.)
c) What is the order of magnitude of the maximum displacement of a Cu atom at
the Debye temperature? Compare this displacement with the interatomic distance.
C., cal/g-mol - "K
Cu, 343°K
Ag. 226°K
■ Pb, 102°K
x C, 1860°K
0.5
T/OD
Fig. 3.13 Specific heats versus reduced temperature for four substances. Numbers refer
to Debye temperatures. Note the high Debye temperature for diamond.
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