A cylindrical preheat tank with a length-to-diameter ratio of 1 and a capacity of 100 m3 is

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A cylindrical preheat tank with a length-to-diameter ratio of 1 and a capacity of 100 m3 is used in a semi batch operation. The tank is completely jacketed, and the temperature of the heating material in the jacket is maintained at 100◦C by steam that condenses. The material to be heated has the properties of water, and you may assume that hT = 800 W/m2 K. The initial temperature of the liquid in the tank is 20◦C. How does the tank temperature vary with time? How long will it take for the tank temperature to reach 80C?

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