Question

(1 point) A pond contains 19201920 L of pure water and an uknown amount of an undesirable chemical. Water

contaninig 0.03

0.03 kg of this chemical per liter flows into the pond at a rate of 5

5 L/h. The mixture flows out at the same rate, so the amount of water in the pond remains constant. Assume that the chemical is uniformly distributed throughout the pond. 

Let Q(t)

Q(t) be the amount of chemical (in kg

kg) in the pond at time t

t hours.

(a) conduct a differential equation for the amount of chemical in the pond? 

at any time time (enter Q for Q(t)

Q(t): 

dQ

dt

=

dQdt= 

equation editor

Equation Editor

(b) How much chemical will be in the pond after a long time?

Q

∞

=

Q∞=equation editor

Equation Editor

(kg)

(c) Does the limiting value in part (b) depend on the amount that was present initially?

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