Consider a system of N non-interacting distinguishable particles in which the energy of each particle can assume two distinct values, 0 and  > 0. The total energy of the system is E. (a) Find the entropy of this system as a function of E. (b) Find the temperature as a function of E ans show that it can be negative. (c) Discuss what would happen when a system with negative temperature is allowed to exchange energy with a system with positive temperature

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Consider a system of N non-interacting distinguishable particles in which the energy of each
particle can assume two distinct values, 0 and  > 0. The total energy of the system is E.
(a) Find the entropy of this system as a function of E.
(b) Find the temperature as a function of E ans show that it can be negative.
(c) Discuss what would happen when a system with negative temperature is allowed to
exchange energy with a system with positive temperature

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