Q$1.(30$ points$)$ A spherical communications satelite, $2$ m in diameter, is placed in arbit

cround the earth. The satellite generates $1000$ W of infernal power from a small nuclear

generator. If the surface of the satelite has an emissivity of $0\mathrm{.}3,$ and is shaded from solar

radiation by the earth, estimate its surface temperature. What would the temperature

be if the satellite with an absorptivity of $0\mathrm{.}2$ were in an orbit in which il would be exposed

to solar radiation? Assume the sum is a blackbody at $5800$ K