Refractory bricks are used as linings for furnaces, and they generally have low thermal conductivity to minimize heat loss through the furnace walls. Consider a thick furnace wall lining with refractory bricks (k = 1.0 W/m·K and α = 5.08 × 10^-7m²/s), where initially the wall has a uniform temperature of 15°C. If the wall surface is subjected to uniform heat flux of 20 kW/m², determine the temperature at the depth of 10 cm from the surface after an hour of heating time.

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4; = 20,000 W/m? Thick refractory brick wall T, = 15°C