11. A tank initially contains 100 L of brine with 25 N of dissolved salt. Fresh water and brine containing 2 N/L of dissolved salt enter the tank at 40 L/min and 10 L/min, respectively and the resulting mixture leaves the tank at 5 L/m in. If the capacity of the tank is 400L, find the amount of salt in the tank when it starts to overflow.

11. A tank initially contains 100 L of brine with 25 N of dissolved salt. Fresh water and brine containing 2 N/L of dissolved salt enter the tank at 40 L/min and 10 L/min, respectively and the resulting mixture leaves the tank at 5 L/m in. If the capacity of the tank is 400L, find the amount of salt in the tank when it starts to overflow.

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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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

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11. A tank initially contains 100 L of brine with 25 N of dissolved salt. Fresh water and brine containing 2 N/L of dissolved
salt enter the tank at 40 L/m in and 10 L/m in, respectively and the resulting mixture leaves the tank at 5 L/m in. If the capacity of the
tank is 400L, find the amount of salt in the tank when it starts to overflow.

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