TPR dynamic equation

On the assumption that gases are piston flows without diffusion of the axial and radial, consumption volume of H2 is expressed for AV at the unit dz zone of reactor  

In the low conversion rate, the composition of the gaseous phase is invariable in the whole reactor, so the reaction rate is  

When the reduction rate achieves maximum rate, we express it as  

Equation (7.119) is the rate equation of TPR. By taking logarithm on both sides, we get  

Plots 2 nTm — In/ ) vs. l/Tm, the activation energy Er can be obtained from the slop of the straight line. If Cam is regarded as the similar average concentration of H2, the Pre-exponential factor can be obtained by the line intercept and Er. 

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