A rectangular cooler holding crushed ice and water is comprised of a 2 mm polypropylene internal wall and a 1mm stainles

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A rectangular cooler holding crushed ice and water is comprised
of a 2 mm
polypropylene internal wall and a 1mm stainless steel (AISI 316)
outer shell, with 5.5
cm of expanded polystyrene foam between them. If the cooler
measures 0.75 m x
0.25m x 0.5m, and is filled with a 50-50 mixture of ice and water,
and it is sitting,
with its lid in a room that is 35 ° C with a heat transfer
coefficient of 77 W·m-1·K-1,
how long will it take for all of the ice to melt? Assume that the
air and the floor of the
room are the same temperature, and the base of the cooler shares
the same materials
as the walls. You may ignore radiation and corner effects for
conduction.












Thermal conductivity values
(From Cengel)
kStainless=3.48 W·m-1·K-1
kEPS=0.04 W·m-1·K-1
kPP=0.12 W·m-1·K-1