4. A tank is initially filled to the brim with 1500 L of pure water. Brine containing 0.35 kg of salt per liter is pumped into the tank at a rate of 12 L/min. The well-mixed solution is pumped out at a rate of 24 L/min. Determine A. The number of kilograms of salt in the tank at time t. B. The time elapsed until the tank is empty.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter47: Applications Of Formulas To Cutting Speed, Revolutions Per Minute, And Cutting Time
Section: Chapter Questions
Problem 42A: Compute the following problems. Express the answers to 1 decimal place. Use: T=LFN Fifteen...
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Solve through application of first order differential equations. Item number 4 only (Both A and B)

4. A tank is initially filled to the brim with 1500 L of pure water. Brine containing 0.35 kg of salt
per liter is pumped into the tank at a rate of 12 L/min. The well-mixed solution is pumped out
at a rate of 24 L/min. Determine
A. The number of kilograms of salt in the tank at time t.
B. The time elapsed until the tank is empty.
Transcribed Image Text:4. A tank is initially filled to the brim with 1500 L of pure water. Brine containing 0.35 kg of salt per liter is pumped into the tank at a rate of 12 L/min. The well-mixed solution is pumped out at a rate of 24 L/min. Determine A. The number of kilograms of salt in the tank at time t. B. The time elapsed until the tank is empty.
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