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Three tanks in series are used to preheat a multicomponent oil solution before it is fed to a distillation column for separation. Each tank is
Three tanks in series are used to preheat a multicomponent oil solution before it is fed to a distillation column for separation. Each tank is initially filled with 1000 kg of oil at 43 C. Saturated steam at a temperature of 300 C condenses within coils immersed in each tank. The oil is fed into the first tank at the rate of 100 kg/min and overflows into the second tank and third tanks at the same flowrate. The temperature of the oil fed into the first tank is 20 C. The tanks are well mixed so that the temperature inside the tanks is uniform, and the outlet stream temperature is the temperature within the tank. The heat capacity, Cp, of the oil is 2 kJ/kgC. For a particular tank, the rate at which heat is transferred to the oil from the steam coil is given by the expression Q=UA(Tsteam-T) Where UA is the product of the heat transfer coefficient and the area of the coil. UA = 10 kJ/minC T = temperature of the oil in the tank in C Q = rate of heat transferred in kJ/min = = a) Determine the steady-state temperatures in all three tanks. What time interval will be required for T3 to reach 99% of this steady-state value during startup? b) Determine after the operation at steady, the oil feed is stopped for three hours. What are the highest temperatures that the oil in each tank will reach during this period
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