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In: Advanced Math

Tanks A and Bare filled with 100 gal and 200 gal of brine respectively. Initially, 40...

Tanks A and Bare filled with 100 gal and 200 gal of brine respectively. Initially, 40 lb of salt dissolved in the solution in tank A and 20 lb of salt dissolved in the solution in tankB. The system is closed in that the well-mixed liquid pumped from A into B and from B into A at a rate of 25gal/min each (so, the liquid volumes do not change over the time in both tanks).

(a) Find the general equation which represents the salt quantity. (Don’t forget that this is an IVP)

(b) Find the salt concentration of tank A after 1hr (60min). Explain the long term behavior briefly.

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Expert Solution

Colby Messinger answered 1 year ago
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