1.1.3 - Initial Conditions for the Differential Equation
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Practice Questions
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What is a mass transfer coefficient?
💡 Hint: Think about what influences the movement of pollutants.
How would you define initial concentration?
💡 Hint: Consider the starting point of a chemical release scenario.
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Interactive Quizzes
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What is the primary purpose of the mass transfer coefficient in environmental monitoring?
💡 Hint: Think about how substances move in the environment.
True or False: The initial concentration of a contaminant must always be known before formulating differential equations.
💡 Hint: Recall the importance of starting values in equations.
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Challenge Problems
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Calculate the concentration after 2 hours given a continuous spill of 10 kg/hr over a lake of 2000 m³, with a mass transfer coefficient of 0.5.
💡 Hint: Consider the continuous nature of the spill.
In a model where winds are dispersing a pollutant, derive a formula to project concentration change over time accounting for wind speed and mass transfer coefficient.
💡 Hint: Wind speed will influence the rate - remember to incorporate it into your equations.
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