- 2073 Bhadra · 2 marks
Temperature difference across insulating layer, 1600 W
The magnitude of heat transfer through an insulating layer, 0.8 m² surface area, 5 cm thick and having a thermal conductivity of 0.25 W/mK is found to be 1600 W. Determine the temperature difference existing across the material.
Given: A = 0.8 m², L = 5 cm = 0.05 m, k = 0.25 W/m·K, Q = 1600 W.
Fourier's law for a plane layer: Q = kA ΔT/L
ΔT = Q L/(kA) = 1600 × 0.05/(0.25 × 0.8) = 80/0.2
Answer: ΔT = 400 K (400 °C) across the insulating layer.
✓ Answer checked by Claude Opus 5.5 (high effort)
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