Suppose that a tank with a capacity of 90 gallons initially contains 60 gallons of pure water. A salt solution containing 4 pounds of salt per gallon is allowed to run into the tank at a rate of 45 gal/min, and the well stirred mixture is then removed at a rate of 30 gal/min, as shown in the figure. The process is continued until the tank is filled (see figure below). Fluid In W' + Mixture 1. Write an intial value problem for w, the total weight (in pounds) of salt in the tank. The concentration is W = Fluid Out w(0) = 2. Determine the concentration of the salt solution in the tank at the end of the process. Ibs/gal.
Suppose that a tank with a capacity of 90 gallons initially contains 60 gallons of pure water. A salt solution containing 4 pounds of salt per gallon is allowed to run into the tank at a rate of 45 gal/min, and the well stirred mixture is then removed at a rate of 30 gal/min, as shown in the figure. The process is continued until the tank is filled (see figure below). Fluid In W' + Mixture 1. Write an intial value problem for w, the total weight (in pounds) of salt in the tank. The concentration is W = Fluid Out w(0) = 2. Determine the concentration of the salt solution in the tank at the end of the process. Ibs/gal.
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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Transcribed Image Text:Suppose that a tank with a capacity of 90 gallons initially contains 60 gallons of pure water. A salt solution containing 4 pounds of salt per gallon is allowed to run
into the tank at a rate of 45 gal/min, and the well stirred mixture is then removed at a rate of 30 gal/min, as shown in the figure. The process is continued until
the tank is filled (see figure below).
Fluid In
W'+
Mixture
1. Write an intial value problem for w, the total weight (in pounds) of salt in the tank.
. The concentration is
W =
Fluid Out
w(0) =
2. Determine the concentration of the salt solution in the tank at the end of the process.
Ibs/gal.
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