Sketch the heat capacity of copper as a function of

Chapter 7, Problem 60P

(choose chapter or problem)

Get Unlimited 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?

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,

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back