Consider a lake with a volume of 8 billion ft and an initialpollutant concentration of 0.25%. An inflowing river bringsin 500 million ft of water daily with a low pollutantconcentration of 0.05%, and an outflowing river removes500 million ft of the lake water daily. Assume the water isperfectly mixed. How long will it take to reduce thepollutant concentration in the lake to 0.10%?

Given that: Volume of lake=8 billion ft3=8000 million ft3Initial concentration of pollutant =…

Answered: Consider a lake with a volume of 8…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter12: Quadratic Functions

Section12.6: Solving Problems Involving Quadratic Equations

Problem 1.3E

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2. A small lake of volume 10 cubic meters has accidentally been polluted by 10 000 kilograms of a highly toxic substance. A river flows into and out of the lake at a rate of 20000 cubic meters per hour. Assuming that the entering river contains fresh water and that the toxic substance is fully mixed throughout the lake at all times, find the number of hours for the mass of the pollutant to decrease to an acceptable 100 kilograms.
4. A well-circulated pond contains 1 million L of water that contains a pollutant at a concentration of 0.01 kg/L. Pure water enters from a stream at 100 L/h. Water evaporates from the pond (leaving the pollutant behind) at 50 L/h. How many days will it take for the concentration of pollutant to drop to 0.001 kg/L?
2) A tank, which has a capacity of 100 L, is initially half full of a solution that contains 50g of chemical. A solution containing 0.5g/L of the same chemical flows into the tank at a rate of 6L/min, and the well-stirred mixture flows out at a rate of 4 L/min. Determine the concentration of chemical in the tank just before the solution overflows.
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Lake Ontario has a volume of approximately V =1600 km3. It is heavily polluted by a certain pollutant with a concentration of co = 0.1%.As a part pollution control, the pollutant concentration of the inflow is reduced to cin = 0.02%. The inflow and outflow rates Qin = Qout = Q = 500 km3 per year. Suppose that pollutant from the inflow is well mixed with the lake water before leaving the lake. How long will it take for the pollutant concentration in the lake to reduce to 0.05%?
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