E- and F-Curves for a Series of Stirred Tank Reactors

Consider a series of well-stirred reaetors eaeh having the same volume, where the total volume is V[. Let Cj, Cj. . . . .. he 

The aetual volume Vr ean he replaeed hy N identieal stirred tank reaetor whose total volume is the same as that of the aetual reaetor. That is  

It is possible to determine the value of N that gives the best fit to the response eurve of the aetual reaetor as deseribed below. Consider a steady flow u m /see of fluid in and out of the first reaetor volume 

At time t = 0, a pulse of traeer is injeeted into the vessel that, when evenly distributed in the vessel, has a eoneentration Cg. At any time t after the traeer is introdueed, a material balanee on the first reaetor gives 

Input Rate - Output Rate = Rate of aeeumulation of traeer 

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