Students on a spring break picnic bring a cooler that contains 5.1 kg of ice at 0.0 aC. The cooler has walls that are 3.8 cm thick and are made of Styrofoam, which has a thermal conductivity of 0.030 W/(m · C°). The surface area of the cooler is 1.5 m2, and it rests in the shade where the air temperature is 21 °C. (a) Find the rate at which heat flows into the cooler, (b) How long does it take for the ice in the cooler to melt?
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