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Heat Transport: Conduction, Convection and Flux

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A cubical cavity of width 0.5 m on a side. The cavity wall is made of Pyrex and the thickness is 3 cm. A block of 1 kg ice at 0 degrees Celsius is contained in the box. The exterior wall temperature of the cube is 20 degrees Celsius. The box is suspended in mid-air of a big room where the air and surrounding temperatures are the same. The convection coefficient in the room is h = 20W/(m^2*K).
1.Find the rate of ice melting inside the box and
2.the air temperature in the room.

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