The top surface of a metal plate (k plate = 237 W/m K) is being cooled

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The top surface of a metal plate (kplate = 237 W/m ∙ K) is being cooled by air (kair = 0.243 W/m ∙ K) while the bottom surface is exposed to a hot steam at 100°C with a convection heat transfer coefficient of 30 W/m2 ∙ K. If the bottom surface temperature of the plate is 80°C, determine the temperature gradient in the air and the temperature gradient in the plate at the top surface of the plate.

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