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Modeling Scenario

7-040-TankInterruptMixing-ModelingScenario

Author(s): Norman Loney

University of Cincinnati, Cincinnati OH USA

Keywords: Laplace transform inverse Laplace Transform salt tank mixing interrupt

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Abstract

Resource Image We present a first order differential equation model for the interrupted mixing of a tank with salt water. We offer two solution strategies (1) two step approach and (2) Laplace Transforms.

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Description

Water containing 2 kg of salt per liter (L) is poured into a tank at a rate of 1 L/min, and the well-stirred mixture leaves at the same rate. After 10 min, the process is stopped and fresh water is poured into the tank at a rate of 1 L/min, with the new mixture leaving at 1 L/min. We seek to model this situation in order to determine the amount (kg) of salt in the tank at the end of 20 min if there were 100 L of pure water initially in the tank.

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Authors

Author(s): Norman Loney

University of Cincinnati, Cincinnati OH USA

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