Solved: A spherical vessel used as a reactor for producing

Chapter , Problem 3.7

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A spherical vessel used as a reactor for producing pharmaceuticals has a 10-mm-thick stainless steel wall (k 17 W/m K) and an inner diameter of l m. The exterior surface of the vessel is exposed to ambient air (T 25 C) for which a convection coefficient of 6 W/m2 K may be assumed. (a) During steady-state operation, an inner surface temperature of 50 C is maintained by energy generated within the reactor. What is the heat loss from the vessel? (b) If a 20-mm-thick layer of fiberglass insulation (k 0.040 W/m K) is applied to the exterior of the vessel and the rate of thermal energy generation is unchanged, what is the inner surface temperature of the vessel?

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