The average thermal conductivity of the walls (includingwindows) and roof of a h

Question

The average thermal conductivity of the walls (includingwindows) and roof of a house in the figure is 4.8 x 10-4kW/m oC, and their average thickness is 22.0 cm. Thehouse is heated with natural gas, with a heat of combustion (energygiven off per cubic meter of gas burned) of 9300kcal/m3. How many cubic meters of gas must be burnedeach day to maintain an inside temperature of 23.0oC ifthe outside temperature is 0.0oC? Disregard radiationand energy loss by heat through the ground. When I work it out like the solution given I get 37.6.That is not the right answer so I don't know what I am doingwrong? The average thermal conductivity of the walls (includingwindows) and roof of a house in the figure is 4.8 x 10-4kW/m oC, and their average thickness is 22.0 cm. Thehouse is heated with natural gas, with a heat of combustion (energygiven off per cubic meter of gas burned) of 9300kcal/m3. How many cubic meters of gas must be burnedeach day to maintain an inside temperature of 23.0oC ifthe outside temperature is 0.0oC? Disregard radiationand energy loss by heat through the ground. When I work it out like the solution given I get 37.6.That is not the right answer so I don't know what I am doingwrong?

Explanation / Answer

The problem solution on here shows that sin(37) should be used in the area of the roof equation. It should be cos(37) instead. Try that and it should work out for you.

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