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Is entropy of planets and others bodies proportional to the area? If yes, how do I prove that? I know it works for a black hole but, and for others? If no, then the entropy is really proportional to the volume in some cases? I have seen this proportionality in some cases in thermodynamics.

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The total entropy is an integral of the entropy density over the body volume. I do not know if it even makes any sense for planets, though.

Black holes are exotic (thoeretical) objects with non verifiable properties.

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  • $\begingroup$ In some places it was said that the entropy of a volume was related to its area and not volume, so the question $\endgroup$
    – Ian
    Commented Aug 24, 2021 at 8:45
  • $\begingroup$ If a body only consists of some surface, then maybe, but in general case the science says clearly how to calculate entropy of a 3D body. $\endgroup$ Commented Aug 24, 2021 at 14:51

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