Does Hawking Radiation Maintain a Black Hole's Maximum Entropy?

TriTertButoxy
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I read somewhere that a system consisting of a single black hole contains the maximum possible amount of entropy represented by the mass of the black hole. A thermodynamics law says that entropy must increase, in general, for all processes.

So, suppose I consider the Hawking Radiation -- the process by which Black Holes evaporate. If the black hole contains the maximal amount of entropy, is it true that Hawking Radiation maintains the entropy?

Strange...
 
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Hm... is this question misworded?
 

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