olution. Water containing 1 lb of salt per gallon is entering a the amount of salt in the tank at any time prior to the instant verflow. Find the concentration (in pounds per gallon) of salt -oint of overflowing. Compare this concentration with the theor the tank had infinite capacity.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A tank with a capactiy of 500 gal originally contains 200 gal of water with 100 lb of salt in
solution. Water containing 1 lb of salt per gallon is entering at a rate of 3 gal/min. Find
the amount of salt in the tank at any time prior to the instant when the solution begins to
overflow. Find the concentration (in pounds per gallon) of salt in the tank when it is on the
point of overflowing. Compare this concentration with the theoretical limiting concentration
if the tank had infinite capacity.
Transcribed Image Text:A tank with a capactiy of 500 gal originally contains 200 gal of water with 100 lb of salt in solution. Water containing 1 lb of salt per gallon is entering at a rate of 3 gal/min. Find the amount of salt in the tank at any time prior to the instant when the solution begins to overflow. Find the concentration (in pounds per gallon) of salt in the tank when it is on the point of overflowing. Compare this concentration with the theoretical limiting concentration if the tank had infinite capacity.
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