Question

If τ^2 = 100 and σ^2 = 10, the number of tanks necessary to model a real reactor as N ideal tanks in series is ____

(a) 1

(b) 10

(c) 5

(d) 100

I got this question in a national level competition.

My question comes from Tanks in Series Model in section Compartment Models, Models for Non Ideal Reactors of Chemical Reaction Engineering

Answer 1

Correct option is (b) 10

Best explanation: N = \(\frac{τ^2}{σ^2} \)

N = \(\frac{100}{10}\) = 10.