A radiator surface on a spacecraft is sized to deliver 1000 W heat load to deep space where the sink temperature is assumed to be 10 K. the radiator surface is 10 m x 1 m and has a solar abosrptance of 0.2 and an emissivity of 0.8. Determine the surface temperature in degree Rankine of the radiator if the surface also receives 100 W/m^2 of solar energy that also needs to be radiated to space.