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

A 200 gallon tank initial contains 100 gallons of water and 20 pounds of dissolved salt. Brine solution begins to enter the tank at the rate of 2 gal/min with a salt concentration of 2 lb/gal. The well mixed solution leaves the tank at the rate of 1 gal/min. Find the amount of salt inside the tank 50 minutes after the process starts?

Expert Solution

milcah answered 2 years ago

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

At time t=0 a tank holds 550 gallons of water with 100 pounds of dissolved salt. An input pipe brings in solution at 8 gallons per minute at a concentration of 2 pounds per gallon. An output pipe carries away solution at 2 gallons per minute. Find how much salt is in the tank after 45 minutes.

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

At time t = 0 a tank contains 25lb of salt dissolved in 100 gallons of water. assume that water containing 2lb salt/gallon enters the tank at a rate of 5 gal/min and the well-stirred solution is leaving the tank at the same rate. solve for Q(t) [Amount of salt in tank at time t ]

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?

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?

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

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A tank contains 10 gallons of water. Salt water containing a concentration of 4t ounces per...

A tank contains 10 gallons of water. Salt water containing a concentration of 4t ounces per gallon flows into the tank at a rate of 4 gallons per minute and the mixture in the tank flows out at the same rate. (a)Construct the mathematical model for this flow process (b)Use integrating factors to solve for Q(t). (c)If the tank contains Q0 amount of salt at time t = 0, use this as an initial condition to solve for the constant...

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