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Long cylindrical AISI stainless steel rods (k=7.74 Btu/h ft F and alpha=0.135 ft^2/h) of 4-in-diameter are heat treated by drawing them at a velocity of 7 ft/min through a 21-ft-long oven maintained at 1700 F. The heat transfer coefficient in the oven is 20 Btu/h ft^2 F. If the rods enter the oven at 70 F, determine their centerline temperature when they leave.

Long cylindrical AISI stainless steel rods (k=7.74 Btu/h ft F and alpha=0.135 ft^2/h) of 4-in-diameter are heat treated by drawing them at a velocity of 7 ft/min through a 21-ft-long oven maintained at 1700 F. The heat transfer coefficient in the oven is 20 Btu/h ft^2 F. If the rods enter the oven at 70 F, determine their centerline temperature when they leave.