A large tank contains 400 liters of fluid in which 100 grams of salt is dissolved. Water is pumped into the tank at the rate of 5 L/min and the well mixed solution in the tank is pumped out at the rate of 10 L/min. Find the design equations for i). the liquid volume V (t) at any time t in the tank ii). the number of grams of salt S(t) in the tank as a function of time. Over what range of time will your equations be valid and why? What would be the salt content in the tank after one hour of operation?

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