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