Reynolds 02 Show that in the high temperature limit, both the Einstein model heat capacity hwE where r = KT Cy = 3Nk- (ez – 1)2 and the Debye model heat capacity hwD r'edr 3 Cy = 3Nk where rp KT (e² – 1)2| agree with the law of Dulong and Petit. (HINT: Expand e/(e – 1)2 in a power series in r and retain only the first nonzero term. Extra Credit: What is the second nonzero term?)
Reynolds 02 Show that in the high temperature limit, both the Einstein model heat capacity hwE where r = KT Cy = 3Nk- (ez – 1)2 and the Debye model heat capacity hwD r'edr 3 Cy = 3Nk where rp KT (e² – 1)2| agree with the law of Dulong and Petit. (HINT: Expand e/(e – 1)2 in a power series in r and retain only the first nonzero term. Extra Credit: What is the second nonzero term?)
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Transcribed Image Text:Reynolds 02 Show that in the high temperature limit, both the Einstein model heat capacity
hwE
where r =
KT
Cy = 3Nk-
(ez – 1)2
and the Debye model heat capacity
hwp
r'edr
3
Cy = 3Nk
where rp
KT
agree with the law of Dulong and Petit. (HINT: Expand e/(e – 1)2 in a power series in r and retain
only the first nonzero term. Extra Credit: What is the second nonzero term?)
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