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The wall of a house is 3 m high, 10 m long and 30 cm thick;...

The wall of a house is 3 m high, 10 m long and 30 cm thick; it has an effective thermal conductivity of 10 W/m K. The outer surface of the wall has an emissivity of 0.75. On a winter night, the outer surface of this wall is at a temperature of 0 °C and the air is at a temperature of –10 °C. The heat transfer coefficient for the outside wall is 8 W/m2 K. The outside wall also radiates to sky at –20 °C. What is the temperature of the inside wall of the house?

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