A steel ball [c=0.46 kJ/kg.°C, k =35 W/m.°C] 5.0 cm in diameter and initially at a uniform temperature of 450°C is suddenly placed in a controlled environment in which the temperature is maintained at 100°C. The convection heat-transfer coefficient is 10 W/m2.°C. (a) Calculate the time required for the ball to attain a temperature of 200°C.

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ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter3: Transient Heat Conduction
Section: Chapter Questions
Problem 3.13P
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A steel ball [c=0.46 kJ/kg.°C, k =35 W/m.°C] 5.0 cm in diameter and initially at a uniform temperature of
450°C is suddenly placed in a controlled environment in which the temperature is maintained at 100°C. The
convection heat-transfer coefficient is 10 W/m2.°C.
(a) Calculate the time required for the ball to attain a temperature of 200°C.
(b) What is the time required for the ball to attain a temperature of 100°C?
Transcribed Image Text:A steel ball [c=0.46 kJ/kg.°C, k =35 W/m.°C] 5.0 cm in diameter and initially at a uniform temperature of 450°C is suddenly placed in a controlled environment in which the temperature is maintained at 100°C. The convection heat-transfer coefficient is 10 W/m2.°C. (a) Calculate the time required for the ball to attain a temperature of 200°C. (b) What is the time required for the ball to attain a temperature of 100°C?
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