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In: Advanced Math

(62). (Transient Behavior of a Mixing tank): A tank initially holds 80 gal of a brine...

(62). (Transient Behavior of a Mixing tank): A tank initially holds 80 gal of a brine solution containing 0.125 lb of salt per gallon. At t=0, another brine solution containing 1 lb of salt per gallon is poured into the tank at a rate of 4 gal/min, while the well-stirred mixture leaves the tank at a rate of 8 gal/min. (a) Formulate a model for describing the transient behavior of the tank (b) Find the amount of salt in the tank when the tank contains exactly 40 gal of the solution.

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