1-094-S-SteepingTea

By Eric Sullivan1, Erica Ruth Wiens2, Jesica A Bauer3

1. Mathematics, Carroll College, Helena MT USA 2. Mathematics, Carroll College,Helena MT USA 3. Carroll College, Helena MT USA

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Modeling Scenarios

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Abstract

In this activity, we provide photographs of the steeping process for a fruit 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 of the tea oils in solution. 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.

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Researchers should cite this work as follows:

  • Eric Sullivan; Erica Ruth Wiens; Jesica A Bauer (2017), "1-094-S-SteepingTea," https://www.simiode.org/resources/4190.

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Tags

  1. steeping
  2. tea