Question: Consider two large tanks, connected as shown in Fig. 6.2. 15. Tank A is initially filled with I 00 gal of water in which 25

Consider two large tanks, connected as shown in Fig. 6.2. 15. Tank A is initially filled with I 00 gal of water in which 25 lb of salt has been dissolved. Tank B is initially filled with l 00 gal of pure water. Pure water is poured into tank A at the constant rate of 4gal/min. The well-mixed solution from tank A is constantly being pumped to tank B at a rate of 6 gal/min, and the solution in tank B is constantly being pumped totank A at the rate of 2 gal/min. The solution in tank B also exits the tank at the rate of 4 gal/min.

(a) Find the amount of salt in each tank at any time.
(b) Draw graphs to show how the salt level in each tank changes with respect to time.
(c) Does the amount of salt in tank 8 ever exceed that in tank A?
(d) What is the long-term behavior in each tank?

12 gal/min 4 galmin025 Bigal 4 gal/min FIGURE 6.2.15 Two-tank arrangement for Problem 52

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