A wooden wall of area and thickness separates indoor air at from outdoor air at

PHYSICS · Single correct · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

A wooden wall of area 15 m215\,\text{m}^2 and thickness 0.040 m0.040\,\text{m} separates indoor air at 22 ∘ ⁣C22\,^{\circ}\!\text{C} from outdoor air at 2 ∘ ⁣C2\,^{\circ}\!\text{C}. The wood’s thermal conductivity is 0.12 W ⁣/ ⁣(m⋅K)0.12\,\text{W}\!\big/\!(\text{m}\cdot\text{K}). If the temperature difference remains constant for 1010 hours, what total amount of energy (to the nearest kilowatt-hour) is conducted through the wall? (a) 15 kWh15\text{ kWh} (b) 5 kWh5\text{ kWh} (c) 9 kWh9\text{ kWh} (d) 90 kWh90\text{ kWh}

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