(20 points) The outer surface of a space shuttle has an emissivity of 0.85 and a solar absorptivity of 0.25. If solar radiation is incident upon the spacecraft at 950W/m2 determine the temperature of the spacecraft when the radiation emitted equals the solar energy absorbed.

(a) Determine the amount of heat from the sun absorbed by the spacecraft.

(b) Use the Stefan-Boltzmann law to determine the heat transfer rate away from the spacecraft that matches the heat determined in part (a). Solve for T. Hint: what is Tamb in space?