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Not to mention the surface of the sun is not that hot (around 5000C)

The interior of the sun however is a different story (around 1.57*10E7 K per Wikipedia)

Interestingly while the surface of the sun is rather cool, the corona (the region 'above' the surface) is much hotter, getting up to 10M degrees C.

This is a phenomenon of some interest, since it intuitively seems like the 2nd law of thermodynamics should prevent this from happening: http://en.wikipedia.org/wiki/Corona#Coronal_heating_problem

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