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If τ is the average residence time and σ^2 is the standard deviation, then the number of tanks necessary to model a real reactor as N ideal tanks in series is ____(a) N = \(\frac{\tau^2}{σ^2} \)(b) N = \(\frac{σ^2}{τ^2} \)(c) N = σ^2(d) N = \(\frac{1}{τ^2} \)The question was posed to me in semester exam.I need to ask this question from Tanks in Series Model in section Compartment Models, Models for Non Ideal Reactors of Chemical Reaction Engineering

Answer»

Right OPTION is (a) N = \(\FRAC{\tau^2}{σ^2} \)

Best EXPLANATION: τ^2 = 1 and σ^2 = \(\frac{1}{N}.\) The standard deviation is obtained as, σ^2 = \(\int_0^∞\)(t-τ)^2E(t)DT.



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