How is Hawking Radiation Related to a Black Hole's Mass and Time of Dissipation?

AI Thread Summary
Hawking radiation is directly related to a black hole's mass, with a specific formula indicating that the time for a black hole to dissipate is proportional to the cube of its mass. The formula is t = m^3 / 3K, where K is a constant (3.98 x 10^15). This relationship suggests that more massive black holes take significantly longer to evaporate. The discussion also touches on concerns regarding hypothetical black holes created by the Large Hadron Collider (LHC) and their potential impact on Earth. Understanding this formula is crucial for calculating the dissipation time of such black holes.
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How exactly is the amount of Hawking radiation emitted by a black hole related to it's mass/Schwarzschild radius/etc? Is there a formula relating the two for instance?

(I'm trying to calculate the time it would take for one of the LHC black holes that will supposedly destroy the Earth - ad nauseum - to dissipate...)

Thanks
Sync.
 
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Perfect! Thanks for replying so promptly!
 
there's a formula derived from hawking radiation

t=m^3/3K

k=3.98 x 10^15
 

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