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Modeling Scenario

1-042-KoolAid-ModelingScenario

Author(s): Kristin Burney1, Lydia Kennedy, Arati Nanda Pati, Audrey Malagon

Virginia Wesleyan College, Norfolk VA

Keywords: concentration compartment tanks KoolAid

31 total view(s), 21 download(s)

Abstract

Resource Image Students run experiments involving concentrated solution of drink powder flowing from upper to lower tank, initially filled with plain water. They make qualitative observations about the intensity of the color in the tanks, record data, and build model.

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Article Context

Resource Type
Differential Equation Type
Qualitative Analysis
Course Level
Lesson Length
Technology
Approach
Pedagogical Approaches
Vision and Change Core Competencies - Ability
Bloom's Cognitive Level

Description

In the first experiment, the spout on the lower tank remains closed; in the second, the solution flows from both tanks at the same flow rate.

Prior to experimentation, students are asked to predict the outcomes and sketch results.

Following experimentation, students develop mathematical models and use them to determine the amount of drink powder in the lower tank at the end of each experiment.

Specifically, first-order separable and linear differential equations are employed.

Additional components of the lab invite students to consider a situation in which tank outflow rates differ (i.e. changing tank volume over time) and, further, a scenario in which pollution is entering and leaving a lake via streams.

Article Files

Authors

Author(s): Kristin Burney1, Lydia Kennedy, Arati Nanda Pati, Audrey Malagon

Virginia Wesleyan College, Norfolk VA

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