A toxic species is removed from a waste stream using a continuous reactive process. However, when the system is initialized it takes some time reach steady state. Your task is to model this initial transient behavior.

The total volume of the reactor is 150.0 Liters and the volumetric flow rate is 2.0 L/min. The rate constant for the degradation of this species is k = 0.25 min-1. The flow into the reactor contains 35.0 mg/L of the toxic compound. Initially the reactor contains 0.0 mg/L of the compound.

a) Develop and expression relating the concentration of the toxic compound to the time since the process was initialized. In other words, find C(t), but you do not have to algebraically solve for C. b) Find the steady state concentration of the toxic compound. c) Find the amount of time required to reach steady state. d) Plot the concentration vs. time, clearly showing the initial transient behavior and eventual steady state value.