4. Suppose a heated open-air tank is fed a salt solution with concentration 3 lb/gal via pipe at a rate of 3gal/min. Water in the tank evaporates at rate of 2gal/min and a fresh water is added at a rate 3gal/min. The well-mixed solution is drained at a rate of 4gal/min. If the tank initially contains a volume of 400gals with 100 lb of salt. Solve for the amount of salt in the tank after 100 min. Also find the limiting amount of salt in the tank after a long time.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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4. Suppose a heated open-air tank is fed a salt solution with concentration 3 lb/gal
via pipe at a rate of 3gal/min. Water in the tank evaporates at rate of 2gal/min and
a fresh water is added at a rate 3gal/min. The well-mixed solution is drained at a
rate of 4gal/min. If the tank initially contains a volume of 400gals with 100 lb of
salt. Solve for the amount of salt in the tank after 100 min. Also find the limiting
amount of salt in the tank after a long time.
Transcribed Image Text:4. Suppose a heated open-air tank is fed a salt solution with concentration 3 lb/gal via pipe at a rate of 3gal/min. Water in the tank evaporates at rate of 2gal/min and a fresh water is added at a rate 3gal/min. The well-mixed solution is drained at a rate of 4gal/min. If the tank initially contains a volume of 400gals with 100 lb of salt. Solve for the amount of salt in the tank after 100 min. Also find the limiting amount of salt in the tank after a long time.
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