A glass (k = 1.1 W/m · K) spherical tank is filled with chemicals undergoing exothermic reaction. The reaction keeps the inner surface temperature of the tank at 80°C. The tank has an inner radius of 0.5 m and its wall thickness is 10 mm. Situated in surroundings with an ambient temperature of 15°C and a convection heat transfer coefficient of 70 W/m² · K, the tank’s outer surface is being cooled by air flowing across it at 5 m/s. In order to prevent thermal burn on individuals working around the container, it is necessary to keep the tank’s outer surface temperature below 50°C. Determine whether or not the tank’s outer surface temperature is safe from thermal burn hazards.

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Air flow 15°C Ts, o Exothermic reaction Ts, i Spherical tank To