A spherical vessel used as a reactor for producing pharmaceuticals has a 10-mm-thick stainless steel wall (k =17W /mK ) and an inner diameter of 1 m . The exterior surface of the vessel is exposed to ambient air (T=25 °C) for which a convection coefficient of 6 W /m2K 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) After maintaining the steady-state of part (a) for a while, the reactor is suddenly immersed in a very large bath mixture of ice and water ( h=20 W / m2K) at atmospheric conditions. What is the temperature of the shell at 5 mm below the shell surface when Fo = 0.1? Clearly state your assumptions regarding material, operating, and geometric parameters. (c) What elapsed time in sec does Fo = 0.1 represent?