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If one has two identical systems and joins them together it has twice the volume and twice the number of particles. In this context, the internal energy of both systems must and is equal to the sum of that of each system separately. However, if the entropy is calculated, it turns out that the sum of the added system is different from the sum of the entropies of each system separately, which does not make sense. This contradiction is the so-called Gibbs paradox and its resolution has profound implications for how nature behaves. Their solution makes it necessary to accept that the particles of the systems that are being studied are indistinguishable, that is, they do not have something that makes them distinguishable.

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ID:(471, 'ky')

Description

If one has two identical systems and joins them together it has twice the volume and twice the number of particles. In this context, the internal energy of both systems must and is equal to the sum of that of each system separately. However, if the entropy is calculated, it turns out that the sum of the added system is different from the sum of the entropies of each system separately, which does not make sense. This contradiction is the so-called Gibbs paradox and its resolution has profound implications for how nature behaves. Their solution makes it necessary to accept that the particles of the systems that are being studied are indistinguishable, that is, they do not have something that makes them distinguishable.

ID:(471, 0)