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Transcribed Image Text:The Einstein model for a solid assumes the system consists of 3N independent simple harmonic oscillators with frequencies &. Within these assumptions, the heat capacity at constant volume as:
Cv=3Nk() (-1)²
²
Complete the table for the molar heat capacity at various temperatures under either the Einstein model or high-temperature limit. You might like to use the Wolfram Alpha calculator to do the numerical calculations more
easily. Use k-0.695 cm /K.
High temperature limit value of molar heat capacity of metal is
T
1 K
10 K
50 K
-1
Einstein, = 100 cm Einstein, : = 500 cm
1.4021
3.8991
100 K
500 K
2.434E-4
1000 K
6.1499
2434E-4
kJ/mol.
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