Heat flows through a wooden board 30mm thick at 0.0086 W/cm3 when one of it's sides is 20°C warmer than the other. Determine the thermal conductivity of the wood.
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The correct answer is 0.387 W/mK.
Explanation:
- To figure out the thermal conductivity we are given the length of the board i.e 30 mm. We convert it into meters i.e 0.03 m.
- Heat flowing through a wooden board per sq cm of the area is 0.0086 W/cm.
- Hence using the formula Q/A = (0.086 ×3) W/cm² = (0.0086 × 10000 × 3) W/m² = 258 W/m²
- So, the temperature difference is 20 K
- Putting in the values, k = 258 x 0.03 / 20 = 0.387 W/mK
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