Question

The door of a domestic refrigerator has an area of 0.7 m^2 and is made of a thin metal sheet with a 2.5 cm thick layer of insulation on the inside. The thermal conductivity of the insulation is 0.25 W/mK, and the heat transfer coefficients to the surrounding air on each side of the door are both 10 W/m^2K. Estimate the heat flow rate through the door and the surface temperature of the metal sheet. The inside of the refrigerator is maintained at 0°C, and the outside air of the kitchen is at 20°C, respectively. Consider the thermal resistance of the metal sheet as negligible.

          The door of a domestic refrigerator has an area of 0.7 m^2 and is made of a thin metal sheet with a 2.5 cm thick layer of insulation on the inside. The thermal conductivity of the insulation is 0.25 W/mK, and the heat transfer coefficients to the surrounding air on each side of the door are both 10 W/m^2K. Estimate the heat flow rate through the door and the surface temperature of the metal sheet. The inside of the refrigerator is maintained at 0°C, and the outside air of the kitchen is at 20°C, respectively. Consider the thermal resistance of the metal sheet as negligible.

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Added by Xavier B.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Shaiju T

05/06/2022

Step 1

- The area of the refrigerator door, \(A = 0.7 \, \text{m}^2\). - Thickness of the insulation layer, \(L = 2.5 \, \text{cm} = 0.025 \, \text{m}\) (converted from cm to m). - Thermal conductivity of the insulation, \(k = 0.25 \, \text{W/mK}\). - Heat transfer Show more…

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The door of a domestic refrigerator has an area of 0.7 m^2 and is made of a thin metal sheet with a 2.5 cm thick layer of insulation on the inside. The thermal conductivity of the insulation is 0.25 W/mK, and the heat transfer coefficients to the surrounding air on each side of the door are both 10 W/m^2K. Estimate the heat flow rate through the door and the surface temperature of the metal sheet. The inside of the refrigerator is maintained at 0°C, and the outside air of the kitchen is at 20°C, respectively. Consider the thermal resistance of the metal sheet as negligible.

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