Engine valves (cp = 440 J/kg·K and r = 7840 kg/m3) are to be heated from 40°C to 800°C in 5 min in the heat treatment section of a valve manufacturing facility. The valves have a cylindrical stem with a diameter of 8 mm and a length of 10 cm. The valve head and the stem may be assumed to be of equal surface area, with a total mass of 0.0788 kg. For a single valve, determine (a) the amount of heat transfer, (b) the average rate of heat transfer, (c) the average heat flux, and (d) the number of valves that can be heat treated per day if the heating section can hold 25 valves and it is used 10 h per day.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter17: Energy In Thermal Processes: The First Law Of Thermodynamics
Section: Chapter Questions
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Engine valves (cp = 440 J/kg·K and r = 7840 kg/m3)
are to be heated from 40°C to 800°C in 5 min in the heat treatment
section of a valve manufacturing facility. The valves have
a cylindrical stem with a diameter of 8 mm and a length of
10 cm. The valve head and the stem may be assumed to be of
equal surface area, with a total mass of 0.0788 kg. For a single
valve, determine (a) the amount of heat transfer, (b) the average
rate of heat transfer, (c) the average heat flux, and (d) the
number of valves that can be heat treated per day if the heating
section can hold 25 valves and it is used 10 h per day.

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