By Brody Dylan Johnson1, Elodie Pozzi1

1. Saint Louis University, Saint Louis MO USA

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This project involves the application of Newton's law of cooling to the study of insulated water bottles. Students have the option to conduct experiments with their own bottles outside of class or use data included in the student version. The modeling scenario leads the students through an analysis of the phase line, the solution of the separable differential equation, and the implementation of the model on the data. Finally, the notion of half-life for a water bottle is introduced, which provides a concrete point of comparison for the quality of two insulated water bottles.

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Researchers should cite this work as follows:

  • Brody Dylan Johnson; Elodie Pozzi (2021), "1-142-S-WaterBottles," https://www.simiode.org/resources/8702.

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