Consider an ice chest with the following dimensions:
Length= 50 cm, width= 40 cm, and height= 30 cm, made of a 3-cm-thick insulating material (k= 0.033 W/[m *C]). The chest is filled with 30 kg of ice at 0*C. The inner wall surface temperature of the ice chest is assumed to be constant at 0*C. The latent heat of fusion of ice is 333.2 kJ/kg. The outside wall surface temperature of the chest is assumed to remain constant at 25*C.
How long would it take to completely melt the ice? Assume negligible heat transfer through the bottom surface.