A radiation-cooled combustion chamber has an external temperature of 1500 K and operates in space where the ambient temperature is 3 K. The emissivity of the outer surface is 0.5. The chamber wall has a thickness and thermal conductivity of 8 mm and 100 W/m-K, respectively. The combustion gases inside have a temperature of 2500 K. Assuming the gases heat the chamber wall only by convection, determine the total heat flux, the inside wall temperature, and the convective heat transfer coefficient.