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1-051-OneTankSaltModel-ModelingScenario

Author(s): Brian Winkel

SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

Keywords: compartment salt tank mixing flow

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Abstract

Resource Image A large tank initially contains 60 pounds of salt dissolved into 90 gallons of water. Salt water flows in at a rate of 4 gallons per minute, with a salt density of 2 pounds per gallon. The incoming water is mixed in with the contents of the tank and flows

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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

  • Develop a differential equation model with an initial condition which predicts the amount of salt in the tank as a function of time.
  • Solve the differential equation which models this salt flow problem.
  • Plot your solution over the time interval [0, 100] min.
  • Determine the maximum amount of salt possible in the tank over time.
  • Determine if and when the amount of salt in the tank gets to 80% of the maximum amount of salt possible.

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Authors

Author(s): Brian Winkel

SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

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