. A tank is filled with 100.0L of water which contains a solute A. The initial concentration of A in the tank is 10 g/L. Pure water flows into the

tank at a rate of 2 L/sec. The solution flowing out has the same flow rate. We can assume that the concentration is dilute enough that the concentration of species A does not impact the volume of the solution so the volume in the tank will remain constant. (a) Derive an expression for concentration of A as a function of time. (b) How long will it take to reduce the concentration in the tank my 90% ? (c) How long will it take to reduce the concentration in the tank by 99%?