What is the entropy of 10⁵ molecules in 10¹⁰ boxes?

Name: What is the entropy of 10 5 molecules in 10 10 boxes?
Brand: Quizplus
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Quizplus · Accepted Answer

The entropy of a system is given by the Boltzmann equation: S = k * ln(W), where k is the Boltzmann constant and W is the number of possible microstates of the system. In this case, we have 10^5 molecules in 10^10 boxes, so the number of possible microstates is W = (10^10)^10^5. Plugging this into the Boltzmann equation, we get S = k * ln((10^10)^10^5) = 3.18 * 10^-17 J/K.

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