An ice-skating rink is located in an indoor shopping mall with an environmental air temperature of 22C

An ice-skating rink is located in an indoor shopping mall with an environmental air temperature of 22ºC and radiation surrounding walls of about 25ºC. The convection heat-transfer coefficient between the ice and air is about 10W/m2 · ºC because of air movement and the skaters' motion. The emissivity of the ice is about 0.95. Calculate the cooling required to maintain the ice at 0ºC for an ice rink having dimensions of 12 by 40 m. Obtain a value for the heat of fusion of ice and estimate how long it would 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.