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Mixing of citric acid takes place in a 12-liter capacity tank. The tank has
initially (t = 0), 4 Liters of fresh water (no citric acid). Citric acid solution stream at 0.1 kg/L concentration enters the tank at a rate = 0.1 L/min. The citric acid solution leaves out from a
nozzle in the tank at a rate = (t+1) L/min. Assume the tank is well-mixed and no reaction takes place.
1. Sketch and label the tank and show if the system is steady state or not, why?
2. Derive the ODE that show the relationship between citric acid concentration and
time?
3. Solve the ODE to get a relationship between Citric acid concentration and time?