1. At 12:00 p.m. a tank contains 150 g of salt dissolved in 8 L of water. Pure water begins flowing intothe tank at a rate of 2 L per hour and the well-mixed solution flows out of the tank at a rate of 3 L perhour. At What time will the tank contain 100 g of salt (or will the tank empty before this happens)?2. At 12:00 p.m. the next day, another tank contains 150 g of salt dissolved in 8 L of water. Watercontaining 10 g of salt per L begins flowing into the tank at a rate of 2 L per hour and the well-mixedsolution flows out of the tank at the same rate. At What time will the tank contain 100 g of salt (orwill this never happen)?

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Answered: At 12:00 p.m. a tank contains 150 g of…

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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In the tank of 100 liters of brine containing 67kg totally dissolved salt. Pure water is allowed to run into the tank at the rate of 3 liters per minute. Brine runs out of the tank at rate of 2 liters minute. The instantaneous concentration in the tank is kept uniform by stirring. How much salt is in the tank at the end of 1 hour?
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 1000L of pure water. Brine that contains 0.05kg of salt per liter of water enters the tank at a rate of 5L/min. Another source of brine that contains 0.04kg of salt per liter of water enters the tank at a rate of 10L/min. The solution is kept thoroughly mixed and drains from the tank at a rate of 15 L/min. How much salt is in the tank after t minutes?
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A tand contains 1000 liters of pure water. Brine that contains 0.05 kg of salt per liter of water enters the tank at a rate of 5 liters/min. Brine that contains 0.04 kg of salt per liter of water enters the tank at the rate of 10 liters/min. The solution is kept thoroughly mixed and drains from the tank at 15 liters/min. How much salt is left in the tank after 1 hour?
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