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Steel is sequentially heated and cooled (annealed) to relieve stresses and to make it less brittle. Consider a 100-mm-thick plate (k = 45 W/m∙ K, 7800 kg/m3, ρcp = 500 J/kg ∙ K) that is initially at a uniform temperature of 300°C and is heated (on both sides) in a gas-fired furnace for which T∞ = 700°C and h = 500 W/m2 ∙ K. How long will it take for a minimum temperature of 550°C to be reached in the plate?
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