A tank initially contains 300 gallons of a salt solution made by dissolving 30 pounds of...

A tank initially contains 300 gallons of a salt solution made by dissolving 30 pounds of salt in water. A solution containing 0.6 pounds of salt per gallon enters the tank at a rate of 5 gallons per minute. A drain is opened at the bottom of the tank through which the well stirred solution leaves the tank at the same rate of 5 gallons per minute. Let y(t) denote the amount of salt (in pounds) which is in the tank at time t. (A) find out y(t)?( B) how much salt is in the tank after 1/2 hour?

Expert Solution

genius_generous answered 1 year ago

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?

initially a large tank with a capacity of 300 gallons contains 150 gallons of clean water....

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

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A tank contains 365 gallons of water and 50 oz of salt. Water containing a salt...

A tank contains 365 gallons of water and 50 oz of salt. Water containing a salt concentration of 1/6(1 + 1/4 sin t) oz/gal flows into the tank at a rate of 8 gal/min, and the mixture in the tank flows out at the same rate. The long-term behavior of the solution is an oscillation about a certain constant level. a) What is this level? b) What is the amplitude of the oscillation?

A tank contains 360 gallons of water and 50 oz of salt. Water containing a salt...

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A 100 gallon tank initially contains 10 gallons of fresh water. At t=0 a brine solution...

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A tank contains 200 gallons of water that has 5 lbs of salt already in it....

A tank contains 200 gallons of water that has 5 lbs of salt already in it. A brine containing .5 lbs of salt per gallon is entering the tank at a rate of 2 gal min , and the well stirred mixture exits the tank at the same rate. What is the concentration of salt in the tank after 5 minutes?

At time t = 0 a tank contains 25lb of salt dissolved in 100 gallons of...

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At time t=0 a tank holds 550 gallons of water with 100 pounds of dissolved salt....

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A tank contains 420 litres of a solution, with 20 kilograms of salt in the solution....

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