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Suppose that a large mixing tank initially holds 1200 L of water in which 25 kg of salt have been dissolved. Another brine solution is pumped into the tank at a rate of 10 L/min, and when the solution is well stirred, it is then pumped out at a slower rate of 7.5 L/min. If the concentration of the solution entering is 0.25 kg/L. determine a differential equation for the amount of salt A(t) in the tank at time t > O. (Use A for A(t)

Suppose that a large mixing tank initially holds 1200 L of water in which 25 kg of salt have been dissolved. Another brine solution is pumped into the tank at a rate of 10 L/min, and when the solution is well stirred, it is then pumped out at a slower rate of 7.5 L/min. If the concentration of the solution entering is 0.25 kg/L. determine a differential equation for the amount of salt A(t) in the tank at time t > O. (Use A for A(t)

Advanced Engineering Mathematics
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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Suppose that a large mixing tank initially holds 1200 L of water in which 25 kg of salt have been dissolved. Another brine solution is pumped into the tank at a rate of 10 L/min, and when the solution is well stirred, it is then pumped out at a slower rate of 7.5 L/min. If the concentration of the solution entering is 0.25 kg/L, determine a differential equation for the amount of salt A(t) in the tank at time t > O. (Use A for A(t))
Transcribed Image Text:Suppose that a large mixing tank initially holds 1200 L of water in which 25 kg of salt have been dissolved. Another brine solution is pumped into the tank at a rate of 10 L/min, and when the solution is well stirred, it is then pumped out at a slower rate of 7.5 L/min. If the concentration of the solution entering is 0.25 kg/L, determine a differential equation for the amount of salt A(t) in the tank at time t > O. (Use A for A(t))
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