Problem 5) (100 points) A large Einstein solid is comprised of N₁ identical oscillators, with the energy levels of the o

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Problem 5 100 Points A Large Einstein Solid Is Comprised Of N Identical Oscillators With The Energy Levels Of The O 1 (200.79 KiB) Viewed 39 times

Problem 5) (100 points) A large Einstein solid is comprised of N₁ identical oscillators, with the energy levels of the oscillators separated by energies qo. If the system has a total internal energy of q=60N1qo. a) Find the multiplicity of the most probable state. (Hint: How is the energy distributed in equilibrium?) (20 points) b) What is the entropy of the most probable state? (20 points) c) If N₂ of the above systems come together and are in thermal contact. Write an expression for the most probable multiplicity of the new system.(20 points) d) Derive an equation for the entropy of the system in part c). (20 points) e) If N₁= 1x10¹0, №₂ = 1x10¹3 and qo=1 calculate a value (with units) for the entropy. (20 points)