Does Black Hole Evaporation Violate the Second Law of Thermodynamics?

[Einstein's Cat]

Hawking showed that black holes dissipate energy when virtual particles are "emitted" by black holes and therefore black holes evaporate. However it seems to me that a shrinking black hole means a decrease in entropy and thus a violation of the second law of thermodynamics; is this the case?

 

[Vanadium 50]

Hawkings showed that black holes dissipate energy when virtual particles are "emitted" by black holes and therefore black holes evaporate.

Hawkings didn't do this. Hawking did,

However it seems to me that a shrinking black hole means a decrease in entropy

Freezing water does the same thing.

nd thus a violation of the second law of thermodynamics

Does freezing water violate the second law? If not, why not? And does the same explanation apply to black holes?