A 5000-gal aquarium is maintained with a pumping system that passes 100 gal of w

Question

A 5000-gal aquarium is maintained with
a pumping system that passes 100 gal of water
per minute through the tank. To treat a certain
fish malady, a soluble antibiotic is introduced
into the inflow system. Assume that the
inflow concentration of medicine is lOte- t/50
mgjgal, where t is measured in minutes. The
well-stirred mixture flows out of the aquarium
at the same rate.
(a) How much medicine is in the tank at any
timet> 0.
(b) What is the maximum concentration of
medicine achieved by this dosing and when
does it occur?

(c) For the antibiotic to be effective, its concentration
must exceed 100 mgjgal for
a minimum of 60 min. Was the dosing
effective?

Explanation / Answer

1.At concentration t>10 will be greater than 1.

2.Maximum concentration will be at t=1.!!

3.Yes it will be effective.!!!

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