A tank initially holds 100 gal of a brine solution containing 1 lb of salt. At t = 0 another brine  solution containing 1 lb of salt per gallon is poured into the tank at the rate of 3 gal/min, while the wellstirred mixture leaves the tank at the same rate. Find: a. the amount of salt in the tank at any time t and  b. the time at which the mixture in the tank contains 2 lb of salt.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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A tank initially holds 100 gal of a brine solution containing 1 lb of salt. At t = 0 another brine 
solution
containing 1 lb of salt per gallon is poured into the tank at the rate of 3 gal/min, while the wellstirred
mixture leaves the tank at the same rate. Find:
a. the amount of salt in the tank at any time t and 
b. the time at which the mixture in the tank contains 2 lb of salt.

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