A tank contains 400 gal of Brine in which 40 lbs of salt is dissolved. Brine containing 0.25 lb/gal runs into the tank at a rate of 2 gal/min. The mixture is kept uniform by stirring, runs out of the tank at a rate of 1 gal/min. Assuming the tank is to be sufficiently large to avoid overflow. [a] What is the amount of salt after 6 minutes? [b] When will the amount of salt in the tank to be 50 lbs?
Added by Gregorio A.
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25 lb/gal * 2 gal/min = 0.5 lb/min due to the incoming brine. At the same time, it decreases by (40 lb / 400 gal) * 1 gal/min = 0.1 lb/min due to the outgoing brine. So the net rate of increase of salt in the tank is 0.5 lb/min - 0.1 lb/min = 0.4 lb/min. After 6 Show more…
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