• Support PF! Buy your school textbooks, materials and every day products Here!

Statistical mechanics problem.

  • Thread starter tysonk
  • Start date
  • #1
33
0
I'm kind of stuck on this problem, if someone could help me out that would be appreciated.

Consider 2 blocks treated as collections of Einstein oscillators. The first block has N1 oscillators of frequency omega. The second block has N2 oscillators of frequency 2omega. Initially the first block has a total energy E1 and the second has a total energy E2. Both N1 and N2 are very large, of order Avagadro's number. E1/(ℏ omega ) and E2/(ℏ omega ) are also very large. The blocks are brought into contact and reach thermal equilibrium without any energy escaping to the environment.
  • What is the temperature of each block before they are brought into contact?
  • What is the common temperature after they reach thermal equilibrium?

Thank you.
 

Answers and Replies

  • #2
33
0
For einstein solid,

1/T = dS/dE

Where E is internal energy and S is entropy. I can find relevant equations for E and S. But how do I calculate dS and dE?
Still not sure how to find their temp when in contact at equilibrium.
 

Related Threads for: Statistical mechanics problem.

  • Last Post
Replies
4
Views
238
  • Last Post
Replies
6
Views
4K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
2
Views
2K
Replies
3
Views
475
  • Last Post
Replies
8
Views
1K
  • Last Post
Replies
5
Views
1K
Replies
2
Views
879
Top