3. A 200-liter tank initially contains 100 liters of brine solution containing 25kg of salt. A brinesolution containing 0.5 kg/liter of salt flows into the container at a rate of 1 liter/min. The solutionis kept thoroughly mixed, and the mixture flows out at a rate of 0.5 liters/min. How much salt isin the container after 10 minutes? When the tank is about to overflow, another drain is openedat 1 liter/min. How much salt is in the tank when the volume returns to what it was initially?

Answered: Image /qna-images/answer/a23c871a-2a30-4c1f-a972-28cce66c1d09.jpg

Answered: 3. A 200-liter tank initially contains…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A tank contains 1000 liters (L) of a solution consisting of 154 kg of salt dissolved in water . Pure water is pumped into the tank at the rate of 3 L/s , and the mixture - kept uniform by stirring - is pumped out at the same rate . How long will it be until only 14 kg of salt remains in the tank ? It will take about _____ seconds.
A tank contains 2000 liters (L) of a solution consisting of 120 kg of salt dissolved in water. Pure water is pumped into the tank at the rate of 4 L/s, and the mixture-kept uniform by stirring-is pumped out at the same rate. How long will it be until only 12 kg of salt remains in the tank? It will take about seconds. (Round to the nearest second as needed.)
A tank contains 100 liters of brine, with 50 kg total dissolved salt. Saltwater, with a concentration of 0.5 kg per liter, is allowed to run into the tank at the rate of 3 liters a minute. Brine run out of the tank at the rate of 2 liters a minute. The instantaneous concentration in the tank is kept uniform by stirring. How much salt is in the tank at the end of one hour?
The ER Dr. has asked you to administer 20 mg of Albuterol via continuous nebulization, over a 4-hour period, to a 14-year-old asthma patient. You gather your supplies, which includes a mini-heart nebulizer with and output of 15 mL/hr. at a flow of 2 LPM, and 2.5mg/3.0 mL vials of Albuterol sulfate. How much Normal Saline will you need to run your treatment?
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A tank contains 5000 liters (L) of a solution consisting of 80 kg of salt dissolved in water . Pure water is pumped into the tank at the rate of 4 L/s , and the mixture - kept uniform by stirring - is pumped out at the same rate . How long will it be until only 8 kg of salt remains in the tank ? It will take about _____ seconds.
2. A.tank initially contains 100 gal of a solution that holds 25 lb of a chemical. Water runs into the tank at the rate of 3 gal/min and the solution runs out at the same rate. How much of the chemical remains in the tank after of the chemical in to reduce the amount 15 min? How long does it take the tank to 1 lb?

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