The image presents a question related to the Gibbs definition of entropy, given by the formula:\[ S = -k_B \sum_j p_j \ln(p_j) \]The question asks, what is the distribution at 0 K that is consistent with the Third Law of Thermodynamics?- One state has a probability of 1, and all others are zero.- Two states have probabilities of 0.5, and all others are zero.- All states are populated with exactly equal probabilities.- The states are populated with completely random probabilities.

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Answered: Gibbs definition of entropy is S=-k Law…

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Gibbs definition of entropy is S=-k Law of Thermodynamics? B P,In(P)- what is the distribution at 0 K that allows this distribution to be consistent with the Third