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The tank in the figure contains 4000 L of water in which initially 50 kg of salt is dissolved. Brine runs at a rate of 40 L/min, and each liter contains 2.5 kg of dissolved salt. The mixture in the tank is kept uniform by stirring. Brine runs out at 40 L/min. Write and simplify the differential equation to determine the amount of salt in the tank at any time t.

The tank in the figure contains 4000 L of water in which initially 50 kg of salt is dissolved. Brine runs at a rate of 40 L/min, and each liter contains 2.5 kg of dissolved salt. The mixture in the tank is kept uniform by stirring. Brine runs out at 40 L/min. Write and simplify the differential equation to determine the amount of salt in the tank at any time t.

Advanced Engineering Mathematics
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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The tank in the figure contains 4000 L of water in which initially 50 kg of salt is dissolved. Brine runs at a rate of 40 L/min, and each liter contains 2.5 kg of dissolved salt. The mixture in the tank is kept uniform by stirring. Brine runs out at 40 L/min. Write and simplify the differential equation to determine the amount of salt in the tank at any time t.
Transcribed Image Text:The tank in the figure contains 4000 L of water in which initially 50 kg of salt is dissolved. Brine runs at a rate of 40 L/min, and each liter contains 2.5 kg of dissolved salt. The mixture in the tank is kept uniform by stirring. Brine runs out at 40 L/min. Write and simplify the differential equation to determine the amount of salt in the tank at any time t.
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