Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

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?

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

An Introduction to Measure Theoretic Probability

Authors: George G. Roussas

2nd edition

128000422, 978-0128000427

More Books

Students also viewed these Mathematics questions

Question

How is GDP computed? L-P82

Answered: 1 week ago