- #1

Elizabeth Chick

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## Homework Statement

Consider the system of two large, identical Einstein solids, each with oscillators, in thermal contact with each other. Suppose the total energy of the system is 2 units of the energy quanta, i.e., =2ℏ, (i) how many MACRO-states (e.g., one macro-state corresponds to one where all the energy =2ℏ is taken by the first solid, and another corresponds to the case where half of the is taken by the first solid and another half by the second. The latter is the most likely state); (ii) Find a general (approximate) expression for the total number of MICRO-states Ω for the combined system, (iii) An expression for Ω=Ωmax when the system is in its most likely macro-state. (iv) Express the entropy of the combined system when (a) all of the micro-states are allowed, and (b) when the system is in its most likely macro-state, using the Sterling approximation: ln!=ln−.

Full Question as below

https://ibb.co/eZrrTx