Consider a hot water radiator that is used to heat a room. The water is circulating at a mass flow rate of m = 0.3 kg/s, the inlet temperature is Tin = 60 C and the outlet temperature is Tout = 55 o C. The room is kept at a temperature of T \infty = 20 C. The convective heat transfer coefficient is h = 5 W/m 2K, and the emissivity of the surface is = 0.9. What is the needed size of the radiator? Consider that the mode of heat transfer is 80% convection and 20% radiation. Give the answer as the surface areas needed for convection and radiation. Are the surface areas different? Comment on your answer.