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Modeling Scenario

1-094-SteepingTea-ModelingScenario

Author(s): Jesica Bauer1, Eric Sullivan, Erica Wiens1

Carroll College, Helena MT USA

Keywords: concentration Surface Area color Newton's Law of Cooling tea sugar

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Abstract

Resource Image We provide photographs of steeping process for a tea steeped in hot water. Students build a differential equation model for the steeping process and do parameter estimation using the color of our tea as a way to measure relative concentration.

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Article Context

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

Description

Students then build a differential equation model for the dissolution of a sugar cube in the tea and use data to estimate parameters.

Finally, students use Newton's law of cooling to estimate the temperature of our tea after it has steeped for a certain amount of time and after the sugar has been completely dissolved.

Article Files

Authors

Author(s): Jesica Bauer1, Eric Sullivan, Erica Wiens1

Carroll College, Helena MT USA

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