Calculate the mass and Schwarzschild radius of a black hole at room temperature (see Pro...

Calculate the mass and Schwarzschild radius of a black hole at room temperature (see Problem 14). How many solar masses is this?

Problem 14

Stephen Hawking has predicted the temperature of a black hole of mass M to be , where k is Boltzmann’s constant. (a) Calculate the temperature of a black hole with the mass of the sun. Discuss the implications of the temperature you calculate. (b) Find the temperature of a supermassive black hole, which may exist at the center of some galaxies, with a mass 6.0 × 10⁹ times the sun’s mass.