A 2000 L tank initially contains 40 kg of salt dissolved in 1000 L of water. A brine solution containing 0.02 kg/L of salt flows into the tank at a rate of 50 L/min. The solution is kept thoroughly mixed, and the mixture flows out at a rate of 25 L/min. (a) Find the quantity of salt in the tank at any time t > 0 prior to overflow. (b) Find the time of overflow.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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A 2000 L tank initially contains 40 kg of salt dissolved in 1000 L of water. A brine solution
containing 0.02 kg/L of salt flows into the tank at a rate of 50 L/min. The solution is kept
thoroughly mixed, and the mixture flows out at a rate of 25 L/min.
(a) Find the quantity of salt in the tank at any time t > 0 prior to overflow.
(b) Find the time of overflow.
Transcribed Image Text:A 2000 L tank initially contains 40 kg of salt dissolved in 1000 L of water. A brine solution containing 0.02 kg/L of salt flows into the tank at a rate of 50 L/min. The solution is kept thoroughly mixed, and the mixture flows out at a rate of 25 L/min. (a) Find the quantity of salt in the tank at any time t > 0 prior to overflow. (b) Find the time of overflow.
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