Modeling with First-Order First-Degree Differential Equations. 1. A brine solution of salt flows at a constant rate of 8 L/min into a large tank that initially held 100 L of brine solution in which was dissolved 0.5 kg of salt. The solution inside the tank is kept well stirred and flows out of the tank at the same rate. If the concentration of salt in the brine entering the tank is 0.05 kg/L, determine the mass of salt in the tank after t min. When will the concentration of salt in the tank reach 0.02 kg/L? 2. A nitric acid solution flows at a constant rate of 6 L/min into a large tank that initially held 200 L of a 0.5% nitric acid solution. The solution inside the tank is kept well stirred and flows out of the tank at a rate of 8 L/min. If the solution entering the tank is 20% nitric acid, determine the volume of nitric acid in the tank after t min. When will the percentage of nitric acid in the tank reach 10%
Modeling with First-Order First-Degree Differential Equations. 1. A brine solution of salt flows at a constant rate of 8 L/min into a large tank that initially held 100 L of brine solution in which was dissolved 0.5 kg of salt. The solution inside the tank is kept well stirred and flows out of the tank at the same rate. If the concentration of salt in the brine entering the tank is 0.05 kg/L, determine the mass of salt in the tank after t min. When will the concentration of salt in the tank reach 0.02 kg/L? 2. A nitric acid solution flows at a constant rate of 6 L/min into a large tank that initially held 200 L of a 0.5% nitric acid solution. The solution inside the tank is kept well stirred and flows out of the tank at a rate of 8 L/min. If the solution entering the tank is 20% nitric acid, determine the volume of nitric acid in the tank after t min. When will the percentage of nitric acid in the tank reach 10%
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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Modeling with First-Order First-Degree Differential Equations.
1. A brine solution of salt flows at a constant rate of 8 L/min into a large tank that initially held
100 L of brine solution in which was dissolved 0.5 kg of salt. The solution inside the tank is
kept well stirred and flows out of the tank at the same rate. If the concentration of salt in
the brine entering the tank is 0.05 kg/L, determine the mass of salt in the tank after t min.
When will the concentration of salt in the tank reach 0.02 kg/L?
2. A nitric acid solution flows at a constant rate of 6 L/min into a large tank that initially held
200 L of a 0.5% nitric acid solution. The solution inside the tank is kept well stirred and
flows out of the tank at a rate of 8 L/min. If the solution entering the tank is 20% nitric acid,
determine the volume of nitric acid in the tank after t min. When will the percentage of
nitric acid in the tank reach 10%?
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