A tank contains 400 gallons of brine (salt in solution) in which 125 pounds of salt...

A tank contains 400 gallons of brine (salt in solution) in which 125 pounds of salt has been dissolved. Freshwater (with no salt added) runs into the tank at a rate of 4 gallons per minute, and the stirred mixture is drained from the tank at the same rate. (1) Find the amount of salt in the tank after an hour. (2) How long does it take to reduce the amount of salt in the tank to 10 pounds?

Expert Solution

milcah answered 2 years ago

A tank contains 40 lb of salt dissolved in 400 gallons of water. A brine solution...

A tank contains 40 lb of salt dissolved in 400 gallons of water. A brine solution is pumped into the tank at a rate of 4 gal/min; it mixes with the solution there, and then the mixture is pumped out at a rate of 4 gal/min. Determine A(t), the amount of salt in the tank at time t, if the concentration of salt in the inflow is variable and given by cin(t) = 2 + sin(t/4) lb/gal. A(t) =

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A tank is filled to capacity with 400 gallons water containing 30 lbs of salt. Brine...

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A 200 gallon tank initial contains 100 gallons of water and 20 pounds of dissolved salt....

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Suppose that a large mixing tank initially holds 400 gallons of water in which 65 pounds...

Suppose that a large mixing tank initially holds 400 gallons of water in which 65 pounds of salt have been dissolved. Another brine solution is pumped into the tank at a rate of 6 gal/min, and when the solution is well stirred, it is pumped out at a slower rate of 5 gal/min. If the concentration of the solution entering is 3 lb/gal, find the amount of salt in the tank after 10 minutes. PLEASE SHOW ALL WORK AND USE...

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