RTD of a Perfectly Mixed Vessel

The mathematical statement of the above type of experiment is to inject an impulse of tracer into the vessel inlet at time zero. This is represented by the Dirac delta function or perfect unit impulse function  

This can be heuristically derived by considering the nature of the integrand with Eq. (a), and then using Eq. (b) at 0 = g. 

The transient mass balance for a perfectly mixed vessel for which M units of tracer are injected into the inlet stream is  

The solution of this simple first-order differential equation, with the initial concentration before injection taken to be zero, C(0) = 0, is  

NONIOEAL FLOW PATTERNS AND POPULATION BALANCE MODELS 

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