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A well-mixed stirred tank reactor has a volume of 200 L. The feed to the reactor is a stream with a flow rate of 50 L/min that has a concentration of species A equal to 5 moles/L. This species undergoes a reaction in the tank of the form
A ----> B
The rate of the reaction (rate of consumption of A) is given by rA=kCa with K = 4 min-1. The exit stream from the reactor is also 50 L/min assume all solutions have the same density.
a. What is the steady state concentration of A in the exit stream?
b. After the steady state is reached, if at some time the inlet concentration of A is changed to 4 moles/L, derive the resultant exit concentration of A as a function of time and find out the time elapsed for the tank to reach again steady state.