1.

The exit age distribution as a function of time is ____(a) E = \(\frac{t^{N-1}}{τ^N}\frac{N^N}{(N-1)!}e^\frac{-tN}{τ}\)(b) E = \(\frac{t^{N-1}}{τ^N}\frac{N}{(N-1)!}e^\frac{-tN}{τ}\)(c) E = \(\frac{t^N}{τ^N}\frac{N^N}{(N-1)!}e^\frac{-tN}{τ}\)(d) E = \(\frac{t^{N-1}}{τ^2}\frac{N^N}{(N-1)!}e^\frac{-tN}{τ}\)I got this question in a national level competition.The doubt is from Tanks in Series Model topic in section Compartment Models, Models for Non Ideal Reactors of Chemical Reaction Engineering

Answer»

The correct option is (a) E = \(\FRAC{t^{N-1}}{τ^N}\frac{N^N}{(N-1)!}e^\frac{-tN}{τ}\)

The best explanation: For N TANKS in series, the exit age DISTRIBUTION is, E = \(\frac{t^{N-1}}{τ^N}\frac{N^N}{(N-1)!}e^\frac{-tN}{τ}.\) The number of tanks in series, N = \(\frac{τ^2}{σ^2}. \)



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