A tank initially contains 400 gal of water with 20 lb of salt dissolved. A brine with salt concentration 0.2 lb per gallon begins to flow in the tank at the constant rate 10 gal per minute. The completely mixed solution flows out at the same rate. Find the amount of salt in the tank after 30 minutes. How much salt would be in the tank if the flow never stopped?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A tank initially contains 400 gal of water with 20 lb of salt dissolved. A brine
with salt concentration 0.2 lb per gallon begins to flow in the tank at the
constant rate 10 gal per minute. The completely mixed solution flows out at
the same rate. Find the amount of salt in the tank after 30 minutes. How much
salt would be in the tank if the flow never stopped?
Transcribed Image Text:A tank initially contains 400 gal of water with 20 lb of salt dissolved. A brine with salt concentration 0.2 lb per gallon begins to flow in the tank at the constant rate 10 gal per minute. The completely mixed solution flows out at the same rate. Find the amount of salt in the tank after 30 minutes. How much salt would be in the tank if the flow never stopped?
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