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Unformatted text preview: C of the black hole. (a) Use (3) and (1) to nd the heat capacity of the black hole as a function of M . (Hint: Its easier to nd 1 /C rst.) (b) Apply (1) again to nd the heat capacity as a function of T . Notice anything strange about this heat capacity? 2) Now lets explore the entropy of this black hole and discover something else thats weird about black holes. (a) Assume that the entropy starts at zero for a black hole with mass zero, and integrate using the equation of state (1) and the denition of dS to nd S ( M ), the entropy as a function of mass. It will again be helpful to use E = mc 2 . (b) Use (2) to reason that the entropy scales with the area of the black hole.For comparison, how does the entropy of an ideal gas sale with size? 1...
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 Fall '10
 yildiz
 Physics, Thermodynamics, Mass

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