Unformatted text preview: and reflects nothing. A black hole of mass M has a total energy of Mc 2 , a surface area of 16πG 2 M 2 /c 4 , and a temperature of hc 3 /16π 2 kGM. G=6.67 × 1011 m 3 / kg 1 s 2 , c=3.0×10 8 m/s , h=6.63×1034 Js , k=1.38 × 1023 J/K , One solarmass = 2 × 10 30 kg Calculate the total power radiated by a onesolarmass black hole. Imagine that the black hole lives in vacuum where it emits radiation but absorbs nothing. As the black hole loses energy, its mass must decrease. Derive a differential equation for the mass as a function of time and solve the equation to obtain an expression for the lifetime of a black hole in terms of its initial mass. Calculate the lifetime of a onesolarmass black hole and compare to the estimated age of the known universe (~10 10 years)....
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 Fall '10
 yildiz
 Physics, Thermodynamics, Energy, Heat, Heat Transfer, Black hole, Fundamental physics concepts

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