A brine solution of salt flows at a constant rate of 3 L/min into a large tank that initially held 230 L of brine solution in which was dissolved 15 kg of salt. The solution inside the tank is kept well stirred and flows out of the tank at the same rate that it flows in. The concentration of salt in the brine entering the tank is 0.45 kg/L. (a) Write a differential equation modeling the change in mass (in kg) of salt in the tank. Use x and t if necessary. (b) Determine the mass of the salt in the tank after t min. Include units.
A brine solution of salt flows at a constant rate of 3 L/min into a large tank that initially held 230 L of brine solution in which was dissolved 15 kg of salt. The solution inside the tank is kept well stirred and flows out of the tank at the same rate that it flows in. The concentration of salt in the brine entering the tank is 0.45 kg/L. (a) Write a differential equation modeling the change in mass (in kg) of salt in the tank. Use x and t if necessary. (b) Determine the mass of the salt in the tank after t min. Include units.
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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A brine solution of salt flows at a constant rate of 3 L/min into a large tank that initially held 230 L of brine solution in which was dissolved 15 kg of salt. The solution inside the tank is kept well stirred and flows out of the tank at the same rate that it flows in. The concentration of salt in the brine entering the tank is 0.45 kg/L.
(a) Write a differential equation modeling the change in mass (in kg) of salt in the tank. Use x and t if necessary.
(b) Determine the mass of the salt in the tank after t min. Include units.
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