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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.