Question 4 A salt solution with concentration of 0.09kg of salt per liter of water is added into a tank containing 30kg of salt dissolved in 6000 liters of water at a rate of 25 liters per minute. To ensure that the volume of solution does not change, solution is drained from the tank at the same rate. Question 4a Let y(t) represents the amount of salt, in kg, present in the tank t minutes after adding the new salt solution. Form an initial value problem and show that the rate of change of salt in the tank is dy dt Question 4b What is the assumption made? Question 4d 2.25 Y 240' y(0) = 30. Question 4c Solve the initial value problem to find the amount of salt as a function of time. State the concentration of the solution in the long run and explain if it is logical.

Question 4 A salt solution with concentration of 0.09kg of salt per liter of water is added into a tank containing 30kg of salt dissolved in 6000 liters of water at a rate of 25 liters per minute. To ensure that the volume of solution does not change, solution is drained from the tank at the same rate. Question 4a Let y(t) represents the amount of salt, in kg, present in the tank t minutes after adding the new salt solution. Form an initial value problem and show that the rate of change of salt in the tank is dy dt Question 4b What is the assumption made? Question 4d 2.25 Y 240' y(0) = 30. Question 4c Solve the initial value problem to find the amount of salt as a function of time. State the concentration of the solution in the long run and explain if it is logical.

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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