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 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 unt the tank is filled (see figure below).
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 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 unt the tank is filled (see figure below).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 68E
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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8c5ae153-5ad6-47a9-8525-15d3a5b7eb2b%2F030e8831-f069-437d-a5bd-2fe22e938304%2Fhxvo4mp_processed.jpeg&w=3840&q=75)
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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