Heat flows through a wooden board 30mm thick at 0.0086 W/cm² when one of it's sides is 20°C warmer than the other. Determine the thermal conductivity of the wood.
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Answer:
We know that thermal conductivity is given by
Given the length of the two sides of the board L = 30 mm = 0.03 m
Heat flowing per sq cm of area = 0.0086 W/cm
Thus, Q/A = (0.086 ×3) W/cm² = (0.0086 × 10000 × 3) W/m² = 258 W/m²
Temperature difference ?T = 20°C = 20 K
Thus, the thermal conductivity of the wood
k = 0.387 W/mK
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