Solution Found!
Sketch the heat capacity of copper as a function of
Chapter 7, Problem 60P(choose chapter or problem)
Problem 60P
Sketch the heat capacity of copper as a function of temperature from 0 to 5 K, showing the contributions of lattice vibrations and conduction electrons separately. At what temperature are these two contributions equal?
Questions & Answers
QUESTION:
Problem 60P
Sketch the heat capacity of copper as a function of temperature from 0 to 5 K, showing the contributions of lattice vibrations and conduction electrons separately. At what temperature are these two contributions equal?
ANSWER:
Step 1 of 3
The expression relating the cube of temperature and the heat capacity is-
Here, which is the denotation of electronic heat capacity and which is the denotation of vibrational heat capacity. Hence,
Here, and
For calculating the Debye’s temperature, dividing the equation by ,we get:
From the relationship between and , it is evident that is the slope. Hence,