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Answer :
Final answer:
The rate of heat flow per square meter of the wall can be calculated using the formula Q = ΔT / ΣR, where Q is the heat flow rate, ΔT is the temperature difference across the wall (850°C - 65°C = 785°C), and ΣR is the sum of the thermal resistances of the three layers.
Explanation:
To calculate the sum of thermal resistances, use the formula ΣR = L₁ / k₁ + L₂ / k₂ + L₃ / k₃, where L₁, L₂, and L₃ are the thicknesses of the fire brick, insulation brick, and red brick layers, and k₁, k₂, and k₃ are their respective thermal conductivities.
Substitute the given values: L₁ = 20 mm = 0.02 m, L₂ = 120 mm = 0.12 m, L₃ = 200 mm = 0.2 m, k₁ = 1.05 W/mK, k₂ = 0.15 W/mK, and k₃ = 0.85 W/mK, into the formula to calculate ΣR.
Finally, plug the values of ΔT and ΣR into the formula for Q to find the rate of heat flow per square meter of the wall.
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