A long cylindrical wood log (k = 0.17 W/m2·K and α = 1.28 × 10-7 m2 /s) is 10 cm in diameter and is initially at a uniform temperature of 25°C. It is exposed to hot gases at 600°C in a fireplace with a heat transfer coefficient of 13.6 W/m2 ·K on the surface. If the ignition temperature of the wood is 420°C, determine how long it will be before the log ignites.
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