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An ice skating rink is located in a building where the air is at T_air=20 C and the walls are at T_w=25 C. The convection heat transfer coefficient between the ice and the surrounding air is h=10 W/m^2K. The emissivity of ice is 0.95. The latent heat of fusion of ice is 333.7 kJ/kg and its density is 920 kg/m^3. (a) Calculate the refrigeration load of the system necessary to maintain the ice at T_s=0 C for an ice rink of 12 m by 40 m. (b) How long would it take to melt 3 mm of ice from the surface of the rink if no cooling is supplied and the surface is considered insulated on the back side?