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In a production facility, 3-cm-thick large brass plates (k = 110 W/m·K, ρ = 8530 kg/m^{3}, c_{p} = 380 J/kg·K, and
α = 33.9 × 10^{-6} m^{2} /s) that are initially at a uniform temperature of 25°C are heated by passing them through an oven maintained at 700°C. The plates remain in the oven for a period of 10 min. Taking the convection heat transfer coefficient to be h = 80 W/m^{2}·K, determine the surface temperature of the plates when they come out of the oven. Solve this problem using analytical one-term approximation method (not the Heisler charts). Can this problem be solved using lumped system analysis? Justify your answer.
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