Plug-flow reactor and single continuous stirred tank

1 Plug-flow reactor and single continuous stirred tank 

For a first-order reaction which is not accompanied by any change in density, the design equation for a plug-flow reactor can be integrated to give 

if the reactors are operating at the same temperature with the same flow rate and conversion 

Similarly, for a second-order reaction, from eqns. (67) and (144) it follows that 

As Table 5 shows, the volume of a continuous stirred tank with a certain performance is greater than that of the corresponding plug-flow reactor. The volume ratio with a second-order reaction is markedly greater than when first-order kinetics apply and this effect is greater at high conversions where both ratios can be very large. 

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