Micro-Mixing and Segregated Flow

Between these two extremes, there are various levels of micro-mixing in which mixing of fluid takes place within a mixture of segregated fluid elements and individual fluid molecules present in different proportions. A parameter X, which denotes the extent of micro-mixing, is assumed to vary between 0 (for completely segregated flow) and 1 (for complete micro-mixing). 

For a first-order reaction A— B, with rate equation (-r ) = 

Given the RTD E(0) for the reaction vessel obtained from the tracer test, the conversion in the segregated flow reactor is calculated as the average of conversions achieved in all the fluid elements leaving the reaction vessel at any particular time, that is 

Calculate the conversion of a first-order reaction with rate constant k = 0.421 min carried out in Reactor I of Problem 3.15 assuming that the reactor is a completely segregated flow reactor. 

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