Two well agitated tanks are connected to each other as seen above. Initially, Tank 1 contains 480 kg of pure water, while Tank 2 contains 560 kg of alcohol-water mixture, 0.90 ethyl alcohol by mass. The mixture containing 0.18 ethyl alcohol by mass is fed to the 1st tank at a flow rate of 50 kg/da and the mixture is transferred from the 1st tank to the 2nd tank at a flow rate of 70 kg/da. Given that there is no accumulation in the tanks (mixture mass in Tank 1 and Tank 2 does not change over time): a. Find the mass flow rates (kg/da) of the outlet stream and the stream through which the mixture is transferred from Tank 2 to Tank 1. b. For tanks 1 and 2, derive expressions showing the time-dependent variation of the mass fraction of ethyl alcohol in the mixture and propose a method for solving the equations you have obtained. [Equations should be finalized by substituting all known ones and making necessary simplifications. The initial conditions to be used in the solution should also be written.
Two well agitated tanks are connected to each other as seen above. Initially, Tank 1 contains 480 kg of pure water, while Tank 2 contains 560 kg of alcohol-water mixture, 0.90 ethyl alcohol by mass. The mixture containing 0.18 ethyl alcohol by mass is fed to the 1st tank at a flow rate of 50 kg/da and the mixture is transferred from the 1st tank to the 2nd tank at a flow rate of 70 kg/da. Given that there is no accumulation in the tanks (mixture mass in Tank 1 and Tank 2 does not change over time): a. Find the mass flow rates (kg/da) of the outlet stream and the stream through which the mixture is transferred from Tank 2 to Tank 1. b. For tanks 1 and 2, derive expressions showing the time-dependent variation of the mass fraction of ethyl alcohol in the mixture and propose a method for solving the equations you have obtained. [Equations should be finalized by substituting all known ones and making necessary simplifications. The initial conditions to be used in the solution should also be written.
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