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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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Article Context

Resource Type
Differential Equation Type
Technique
Qualitative Analysis
Application Area
Course
Course Level
Lesson Length
Technology
Approach
Skills
Key Scientific Process Skills
Assessment Type
Pedagogical Approaches
Vision and Change Core Competencies - Ability
Principles of How People Learn
Bloom's Cognitive Level

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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