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The safety rules do not allow the concentration of the toxic solution exceeding 0.1 mg to be released in the environment. In a chemical factory, this toxic chemical solution is used in the process. The solution flows at a constant rate of 4 L/min into a safety tank that initially contains 100 L of pure water. The toxic solution inside the tank is kept well stirred and flows out of the tank at a rate of 3 L/min. The concentration of the toxic solution entering the tank is 0.3 mg/L.
a) Determine the mass of the toxic product in the tank after t minutes.
b) Find when the concentration of the toxic solution in the tank will be 0.1 mg/L.
c) Use Range-Kutta method with increment = Time in (question b) / 4 d) Compare your results by finding the error