The surface of the Sun has a temperature of 5500 °C. (a) Treating the Sun as a perfect blackbody, with an emissivity of 1.0, find the power that it radiates into space. The radius of the Sun is 7.0 × 10^8 m, and the temperature of space can be taken to be 3.0 K. (b) The solar constant is the number of watts of sunlight power falling on a square meter of the Earth's upper atmosphere. Use your result from part (a) to calculate the solar constant, given that the distance from the Sun to the Earth is 1.5 × 10^11 m.