Mixtures 9. Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds of salt have been dissolved. Pure water is pumped into the tank at a rate of 3 gal/min, and when the solution is well stirred, it is then pumped out at the same rate. Determine a differential equation for the amount of salt A(t) in the tank at time t > 0. What is A(0)?

Question
Mixtures
9. Suppose that a large mixing tank initially holds 300 gallons
of water in which 50 pounds of salt have been dissolved. Pure
water is pumped into the tank at a rate of 3 gal/min, and when
the solution is well stirred, it is then pumped out at the same
rate. Determine a differential equation for the amount of salt
A(t) in the tank at time t > 0. What is A(0)?
Expand
Transcribed Image Text

Mixtures 9. Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds of salt have been dissolved. Pure water is pumped into the tank at a rate of 3 gal/min, and when the solution is well stirred, it is then pumped out at the same rate. Determine a differential equation for the amount of salt A(t) in the tank at time t > 0. What is A(0)?

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Differential Equations

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