Consider a system with two CSTRs in series (i.e., the output from the first reactor becomes the input to the second reactor). Assume a pollutant enters the system and undergoes first-order decay with a rate constant k.

(a) What mean residence time, θ = V/Q, is required in the first reactor to achieve 90 percent removal in that reactor (i.e., C1/Cin = 0.1, where C1 is the steady-state outlet concentration for a fixed inlet concentration Cin)? Express your answer as θ = f(k).

(b) If the two reactors are designed so that a total of 90% removal is attained from the inlet of reactor 1 to the outlet of reactor 2, what is the mean residence time θ required for each tank? (The total system residence time is 2θ.) Express your answer as θ = f(k).

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We know that for first order reaction carried out in a CSTR C in C1 C1 kT CinC11 KT 1 W... View the full answer