Question
A stream, which is polluted with insecticide at concentration 10 g/m3 , flows at a rate of 27 m3 /day into a pond of volume
A stream, which is polluted with insecticide at concentration 10 g/m3 , flows at a rate of 27 m3 /day into a pond of volume 2100 m3 . At the same time, water from the pond is flowing into the sea at rate 27 m3 /day. The initial insecticide concentration in the pond is 3.5 g/m3 .
(a) Let y(t) be the amount of insecticide (in grams) in the pond at time t (days). Write down and solve an appropriate differential equation for y(t) along with the appropriate initial condition.
(b) After a long time, what happens to the concentration of insecticide in the pond?
(c) It is known that if the insecticide concentration in the pond reaches 8 g/m3 the water beetles in the pond will die. How many days does it take for the insecticide concentration to reach this threshold?
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