Suppose that a large mixing tank initially holds 2500 L of water in which 70 kg of salt have been dissolved. Pure water is pumped into the tank at a rate of 25 L/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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Suppose that a large mixing tank initially holds 2500 L of water in which 70 kg of salt have been dissolved. Pure water is pumped into the tank at a rate of 25 L/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)?
