A cylindrical container is being designed to contain an exothermic chemical reaction. The container has an external diameter of 80 mm and is 0.2 m tall. The temperature of the cylinder must not exceed 500 °C. To improve cooling of the container, fins of thickness t=5 mm and length L= 40 mm are spaced at least 10 mm apart. Each fin has an efficiency of n= 40%. The ambient temperature is maintained at 22 °c and the heat transfer coefficient between the ambient air and the cylinder is 50 W/m2K. If the chemical reaction produces a maximum of 3.2 kW per kilogram of substance, the maximum mass of substance which can safely be processed in the container to 2 decimal places is kg. The effectiveness of each fin to 1 decimal place is You may neglect heat transfer from the tips of the fins and from the circular surfaces of the cylinder.

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