3 L/min pure water 4 L/min Tank A 50 L Tank B 50 L 3 L/min 1 L/min
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Two tanks, each holding 50 L of liquid, are interconnected by pipes with
liquid owing from tank A into tank B at a rate of 4 L / min, and from tank B into tank A at 1 L / min.
The liquid in each tank is kept well stirred. Pure water ows into tank A at a rate of 3 L/min, and the
solution ows out of tank B at 3 L / min. If initially tank A contains 2.5 kg of salt and tank B contains
only water (no salt), determine the mass of salt in each tank at time t ≥ 0.
Graph on the same axes the two quantities x1(t) and x2(t), where x1(t) is the mass of salt in tank A,
and x2(t) is the mass in tank B.
Transcribed Image Text:3 L/min
pure water
4 L/min
Tank A
50 L
Tank B
50 L
3 L/min
1 L/min
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