A styrofoam cooler (k = 0.030 W/(m.°C) has outside dimensions of 0.170 m x 0.250 m x 0.260 m, and an average thickness of 2.0 cm. How long will it take for 1.10 kg of ice at -5.0°C to melt (to water at 0°C) in the cooler if the outside temperature is 34.0°C? Assume that ice temperature increases linearly from -5.0°C to 0°C. Neglect any temperature change of the air in the cooler. Data: Specific heat of ice is 2050 J/(kg-K). Later heat of fusion of water is 3.34x105 1/kg.

A styrofoam cooler (k = 0.030 W/(m.°C) has outside dimensions of 0.170 m x 0.250 m x 0.260 m, and an average thickness of 2.0 cm. How long will it take for 1.10 kg of ice at -5.0°C to melt (to water at 0°C) in the cooler if the outside temperature is 34.0°C? Assume that ice temperature increases linearly from -5.0°C to 0°C. Neglect any temperature change of the air in the cooler. Data: Specific heat of ice is 2050 J/(kg-K). Later heat of fusion of water is 3.34x105 1/kg.