A tank initially contains 60 gal of pure water. Brine

Chapter 1, Problem 36P

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QUESTION:

A tank initially contains 60 gal of pure water. Brine containing 1 lb of salt per gallon enters the tank at 2 gal/min, and the (perfectly mixed) solution leaves the tank at 3 gal/min; thus the tank is empty after exactly 1 h. (a) Find the amount of salt in the tank after t minutes. (b) What is the maximum amount of salt ever in the tank?

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QUESTION:

A tank initially contains 60 gal of pure water. Brine containing 1 lb of salt per gallon enters the tank at 2 gal/min, and the (perfectly mixed) solution leaves the tank at 3 gal/min; thus the tank is empty after exactly 1 h. (a) Find the amount of salt in the tank after t minutes. (b) What is the maximum amount of salt ever in the tank?

ANSWER:

Solution:Step 1 of 4:In this problem, we need to find the amount of salt in the tank after t minutes and we have to find the maximum amount of salt ever in the tank.

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