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First-Order Differential Equations 5. A tank initially contains 10 L of a salt solution. Water flows into the tank at a rate of 3 L/min, and the well- stirred mixture flows out at a rate of 2 L/min. After 5 min, the concentration of salt in the tank is 0.2 g/L. Find: (a) The amount of salt in the tank initially. (b) The volume of solution in the tank when the con- centration of salt is 0.1 g/L.

First-Order Differential Equations 5. A tank initially contains 10 L of a salt solution. Water flows into the tank at a rate of 3 L/min, and the well- stirred mixture flows out at a rate of 2 L/min. After 5 min, the concentration of salt in the tank is 0.2 g/L. Find: (a) The amount of salt in the tank initially. (b) The volume of solution in the tank when the con- centration of salt is 0.1 g/L.

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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66 CHAPTER 1 First-Order Differential Equations 5. A tank initially contains 10 L of a salt solution. Water flows into the tank at a rate of 3 L/min, and the well- stirred mixture flows out at a rate of 2 L/min. After 5 min, the concentration of salt in the tank is 0.2 g/L. Find: (a) The amount of salt in the tank initially. (b) The volume of solution in the tank when the con- centration of salt is 0.1 g/L.
Transcribed Image Text:66 CHAPTER 1 First-Order Differential Equations 5. A tank initially contains 10 L of a salt solution. Water flows into the tank at a rate of 3 L/min, and the well- stirred mixture flows out at a rate of 2 L/min. After 5 min, the concentration of salt in the tank is 0.2 g/L. Find: (a) The amount of salt in the tank initially. (b) The volume of solution in the tank when the con- centration of salt is 0.1 g/L.
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