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Unformatted text preview: S = 5 2 kN + kN ln V (2 mkT ) 3 / 2 Nh 3 8.13 Application to other systems Thermodynamics can be applied to other systems than gases and liquids. To do this the term d W = pdV has to be replaced with the correct work term, like d W rev =-Fdl for the stretching of a wire, d W rev =- dA for the expansion of a soap bubble or d W rev =-BdM for a magnetic system. A rotating, non-charged black hole has a temparature of T = hc/ 8 km . It has an entropy S = Akc 3 / 4 h with A the area of its event horizon. or a Schwarzschild black hole A is given by A = 16 m 2 . Hawkings area theorem states that dA/dt . Hence, the lifetime of a black hole m 3 ....
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- Spring '10