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  4. An ice box made of Styrofoam (thermal conductivity =0.01Jm=1K) is used to keep liquids cool. It has a total wall area including lid of0.8 m2 and wall thickness of 2.0 cm. A bottle of water is placed in the box and filled with ice. If the outside temperature is 30?C, the rate of flow of, heat into the box is (in Js-1)

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Q. An ice box made of Styrofoam (thermal conductivity $ =0.01J{{m}^{=1}}K) $ is used to keep liquids cool. It has a total wall area including lid of0.8 m2 and wall thickness of 2.0 cm. A bottle of water is placed in the box and filled with ice. If the outside temperature is 30?C, the rate of flow of, heat into the box is (in Js-1)

MGIMS WardhaMGIMS Wardha 2011

Solution:

$ H=\frac{Q}{t}=\frac{KA({{\theta }_{1}}-{{\theta }_{2}})}{l}=\frac{0.01\times 0.8(30-0)}{2\times {{10}^{-2}}} $ $ =12\,J{{S}^{-1}} $