A Styrofoam ice box has a total area of 0.950 m² and walls with an average thickness of 2.50 cm. The box contains ice, water, and canned beverages at 0°C. The inside of the box is kept cold by melting ice. How much ice melts in one day if the ice box is kept in the trunk of a car at 35.0°C?

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A Styrofoam ice box has a total area of 0.950 m² and walls with an average thickness of 2.50 cm. The
box contains ice, water, and canned beverages at 0°C. The inside of the box is kept cold by melting ice.
How much ice melts in one day if the ice box is kept in the trunk of a car at 35.0°C?
Transcribed Image Text:A Styrofoam ice box has a total area of 0.950 m² and walls with an average thickness of 2.50 cm. The box contains ice, water, and canned beverages at 0°C. The inside of the box is kept cold by melting ice. How much ice melts in one day if the ice box is kept in the trunk of a car at 35.0°C?
Expert Solution
Introduction:
  • The amount of heat that is needed to cause a phase change between solid and liquid is known as the latent heat of fusion. The latent heat of vaporization is the amount of heat needed to cause a phase change between liquid and gas.

 

  • Since the heat transfer in the given situation takes place through conduction the rate of heat transfer will be given by,

Qt=kA(T2T1)d

Here k is the thermal conductivity of the material, A is the surface area, T1 and T2 are the temperatures, and d is the thickness across the material.

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