The system for temporal analysis of products consists of a micro-react
or, a high-speed gas pulsing valve, and a computer-controlled real-tim
e quadrupole mass spectrometer. A pulse of reactant is introduced at t
he entrance of the micro-reactor and evacuated through the catalyst be
d creating a mass spectrometer response. Quantification of kinetic par
ameters from such measurements requires a well-defined flow mechanism
in the micro-reactor and an appropriate model of the system. Experimen
tal methods for establishing Knudsen flow in the catalyst bed are outl
ined. The governing differential equation for the packed-bed micro-rea
ctor is established, and the suitability of various boundary condition
s is discussed. The effect of the inlet section on the response is ill
ustrated and quantified. A simple boundary condition of zero exit conc
entration is justified. The developed model provides the foundation fo
r quantification of results obtained in transient response experimenta
l systems that utilize evacuated packed-bed micro-reactors.