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50 kg/min 560 kg 480 kg Tank 1 Tank 2 76 kg/min Two well agitated tanks are connected to each other as seen above. Initially, the Ist tank contains 480 kg of pure water, while the 2nd tank contains 560 kg of alcohol-water mixture, 0.90 ethyl alcohol by mass. The mixture containing 0.15 ethyl alcohol by mass is

50 kg/min 560 kg 480 kg Tank 1 Tank 2 76 kg/min Two well agitated tanks are connected to each other as seen above. Initially, the Ist tank contains 480 kg of pure water, while the 2nd tank contains 560 kg of alcohol-water mixture, 0.90 ethyl alcohol by mass. The mixture containing 0.15 ethyl alcohol by mass is

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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50 kg/min 560 kg 480 kg Tank 1 Tank 2 76 kg/min Two well agitated tanks are connected to each other as seen above. Initially, the Ist tank contains 480 kg of pure water, while the 2nd tank contains 560 kg of alcohol-water mixture, 0.90 ethyl alcohol by mass. The mixture containing 0.15 ethyl alcohol by mass is fed to the Ist tank at a flow rate of 50 kg/min and the mixture is transferred from the Ist tank to the 2nd tank at a flow rate of 76 kg/min. 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/min) 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 replacing all known ones and making necessary simplifications. The initial conditions to be used in the solution should also be written.)
Transcribed Image Text:50 kg/min 560 kg 480 kg Tank 1 Tank 2 76 kg/min Two well agitated tanks are connected to each other as seen above. Initially, the Ist tank contains 480 kg of pure water, while the 2nd tank contains 560 kg of alcohol-water mixture, 0.90 ethyl alcohol by mass. The mixture containing 0.15 ethyl alcohol by mass is fed to the Ist tank at a flow rate of 50 kg/min and the mixture is transferred from the Ist tank to the 2nd tank at a flow rate of 76 kg/min. 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/min) 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 replacing all known ones and making necessary simplifications. The initial conditions to be used in the solution should also be written.)
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