Problem $01\mathrm{.}078$ Spacecraft

The outer surface of a spacecraft in space has an emissivity of $0\mathrm{.}48$ and a solar absorptivity of $0\mathrm{.}3.$ If solar radiation is incident on the spacecraft at a rate of $950\frac{W}{m^2},$ determine the surface temperature of the spacecraft when the radiation emitted equals the solar energy absorbed$.$

Answer: $$ K