What Is the Temperature of Each Block Before They Are Brought into Contact?

[tysonk]

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.

 

[tysonk]

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.