A tank of 200-liter capacity initially contains 300 grams of salt dissolved in 1

Question

A tank of 200-liter capacity initially contains 300 grams of salt dissolved in 100 liters of water. Starting at t = 0 additional solution with a concentration of 3 grams/liter begins to flow into the tank or the rate of 4 liter/min. The thoroughly mixed mixture is allowed to flow out of the bottom of the tank at the same rate. Write dawn an initial value problems that describes the amount of salt, Q(t), in grams, that would be in the tank at any time t Determine the quantity of salt that will be in the tank after 2 mins. To what value would the concentration of salt in the solution in the tank approach eventually (as t rightarrow infinity)?

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