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
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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd76a2d57-02e6-4734-ba8a-6fadc8c476a5%2F8f4ea287-4882-4dc2-bcf1-af45829ad0a3%2Fz9utt5m_processed.png&w=3840&q=75)
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