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Contaminated Water Downstream

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A certain pesticide is fatal to fish fingerlings at a level of 0.5 parts per million in water. A leaking metal can containing 2.0 kg of the pesticide was dumped into a stream with a flow of 10.0 Liters per second moving at 1.9 km/hr. The container leaks pesticide at a constant rate of 5.0 mg/sec. For what distance (in km) downstream is the water contaminated by fatal levels of the pesticide by the time the container is empty?

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This complete solution provides calculations, the answer and an explanation. 325 words.

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The container leaks pesticide at a constant rate of 5.0 mg/sec into a stream with a flow of 10.0 Liters per second.

In one second, 5 mg of pesticide is dumped into 10 Liters of water. Multiply the two rates by one second to obtain the amount of pesticide dumped into the flow volume during the one second of leakage. The concentration in the 10 Liters of the pesticide is 5mg/10L = 0.5 mg/L. This is the fatal ...

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