The outflow of the tank in Exercise 51 is directed into a second tank containing V liters of fresh water where it mixes instantaneously and exits at the same rate of 40 L/min. Determine the salt concentration c₂(t) in the second tank as a function of time in the following two cases:
(a) V = 200 

(b) V = 300 

In each case, determine the maximum concentration.

Data From Exercise 51

At t = 0, a tank of volume 300 liters is filled with 100 L of water containing salt at a concentration of 8 g/L. Fresh water flows in at a rate of 40 L/min, mixes instantaneously, and exits at the same rate. Let c₁(t) be the salt concentration at time t.