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5. A long rod 40 mm in diameter, is fabricated from sapphire (aluminum oxide) and initially at a uniform temperature of 800K, is suddenly cooled by a fluid at 300 K having a heat transfer coefficient of 1600 W/(m2 K). After 35 s, the rod is wrapped in insulation and experiences no heat loss. a. Using MATLAB, plot the temperature profile in the rod at t = 35 s.

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