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It’s a hot, 100°F (38°C), summer day and you are going for a picnic. To keep...

It’s a hot, 100°F (38°C), summer day and you are going for a picnic. To keep your food and drinks cold, you bring a white Styrofoam cooler packed with ice and put it in the shade. Assuming there is enough ice in the cooler that the inside temperature remains at 0°C, will your cooler receive more heat from radiation or conduction? The cooler is made out of 2 cm thick layer of Styrofoam with a thermal conductivity of 0.010 J/(s m °C) and a surface area of 2 m2. Assume that the inner and outer surface areas of the cooler, between which radiation is exchanged, are (roughly) equal in size, and that the temperature of the inner surface is 0°C and the outer surface is at 100°F (38°C). The emissivity of white Styrofoam is approximately 0.2.

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