Water Tank Problem
A 300 gal capacity tank contains a solution of 200 gal of water and 50 lbs of salt. A solution containing 3 lbs of salt per gallon is allowed to flow into the tank at the rate of 4 gal/min. The mixture flows from the tank at the rate of 2 gal/min.
How much salt is in the tank at the end of 60 min?
How many pounds of salt are in the tank at the end of 30 min?
When does the tank start to overflow?
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A tank with capacity of 700 gal of water originally contains 300 gal of water with 50 lb of salt in solution Water containing 1 lb of salt per gallon is entering at a rate of 4 gal/min, and the mixture is allowed to flow out of the tank at a rate of 2 gal/min. Let Q(t) (in pounds) be the amount of salt in the tank and V(t) (in gallons) be the volume of water in the tank. a) Find...
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A tank originally contains 100 gal of fresh water. Then water containing to of salt per gallon is poured into the tank at a rate of 2 gamin, and the mixture is allowed to leave at the same rate. After 10 min the process is stopped, and fresh water is poured into the tank at a rate of 9 gal/min, with the mixture again leaving at the same rate. Find the amount of salt in the tank at the end...
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