Mathematics, 15.04.2020 18:51 cerna
A newly constructed fish pond contains 1000 liters of water. Unfortunately the pond has been contaminated with 5 kg of a toxic chemical during the construction process. The pond's filtering system removes water from the pond at a rate of 200 liters/minute, removes 50% of the chemical, and returns the same volume of (the now somewhat less contaminated) water to the pond. Write a differential equation for the time (measured in minutes) evolution of:a) The total mass (in kilograms) of the chemical in the pond: dm/dt =
b) The concentration (in kg/liter) of the chemical in the pond: dc/dt =
c) The concentration (in grams/liter) of the chemical in the pond: dc/dt =
d) The concentration (in grams/liter) of the chemical in the pond, but with time measured in hours: dc/dt =
Answers: 3
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