3. A system of two tanks connected by pipes each contains a volume of 100 gallons. Tank A initially contains salt water at a concentration of 0.5 pounds per gallon and tank B initially con- tains pure water. The salt water in each tank is kept well stirred. Salt water enters tank A at a rate of 15 gallons per minute with a concentration of 0.25 pounds per gallon. The mixture in tank A is then pumped into tank B at a flow of 25 gallons per minute. The mixture in tank B is allowed to drain at a rate of 15 gallons per minute. What is the salt content in Tank B when there is 200 gallons in of salt water in Tank A?

3. A system of two tanks connected by pipes each contains a volume of 100 gallons. Tank A initially contains salt water at a concentration of 0.5 pounds per gallon and tank B initially con- tains pure water. The salt water in each tank is kept well stirred. Salt water enters tank A at a rate of 15 gallons per minute with a concentration of 0.25 pounds per gallon. The mixture in tank A is then pumped into tank B at a flow of 25 gallons per minute. The mixture in tank B is allowed to drain at a rate of 15 gallons per minute. What is the salt content in Tank B when there is 200 gallons in of salt water in Tank A?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

3. A system of two tanks connected by pipes each contains a volume of 100 gallons. Tank A
initially contains salt water at a concentration of 0.5 pounds per gallon and tank B initially con-
tains pure water. The salt water in each tank is kept well stirred. Salt water enters tank A at a
rate of 15 gallons per minute with a concentration of 0.25 pounds per gallon. The mixture in tank
A is then pumped into tank B at a flow of 25 gallons per minute. The mixture in tank B is allowed
to drain at a rate of 15 gallons per minute. What is the salt content in Tank B when there is 200
gallons in of salt water in Tank A?

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