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#### 5.2.1 Batch Reaction Times

The time necessary to achieve a specific conversion depends upon how fast the reaction takes place, which in turn is dependent on the rate constant and the reactant concentration. To get a feel of how long it takes to carry a batch reaction, we shall calculate the batch reaction times for different values of the reaction rate constant, k, for a first- and for a second-order reaction. First, let’s solve for the time to achieve a conversion X for the second order reaction

2AB + C

The Algorithm

1. The mole balance on a constant-volume, V = V0, batch reactor is

2-6

Mole balance

Dividing by NA0 and recognizing CA0 =

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