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PDF file - Facultatea de Chimie şi Inginerie Chimică

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OVERALL KINETICS FOR THE CATALYTIC IGNITION OF ETHANE-AIR MIXTURES ON PLATINUM<br />

where β is a proportionality constant including the pre-exponential factor<br />

∗<br />

and a critical amount, Δ C , of a reactant required to initiate the ignition<br />

∗<br />

∗<br />

( rR = ΔC<br />

Δt<br />

= ΔC<br />

τ i ), p ∗ is the standard pressure (≈101 kPa), n and Ea<br />

are the overall reaction or<strong>de</strong>r and activation energy, respectively, and R is<br />

the universal gas constant.<br />

On the other hand, the diffusion controlled reaction heat flow rate<br />

can be rationalized according to an Arrhenius type equation [8]:<br />

r R /(mol m -2 s -1 )<br />

dQ<br />

0.06<br />

0.05<br />

0.04<br />

0.03<br />

0.02<br />

0.01<br />

0.00<br />

-0.01<br />

r<br />

r<br />

∗<br />

n<br />

−Ea<br />

RTw<br />

dt = F = A0<br />

⋅ ( p0<br />

p ) ⋅ e<br />

(3)<br />

5.66% C2H6- air mixture<br />

p0 =100 kPa; Tw = 487 K<br />

induction period<br />

kinetic control<br />

kinetic to diffusion transition<br />

0 2 4 6 8 10<br />

time/s<br />

diffusion control<br />

Figure 1. Variation of the surface reaction rate in time indicating the existence of<br />

an induction period and of the transition from kinetic to diffusion control<br />

Equations (2) and (3) are used to evaluate the parameters n and Ea. It<br />

can be observed that equation (2) refers to the kinetic control, while equation (3)<br />

refers to the diffusion control.<br />

Activation energy evaluation. A typical plot for the kinetic control is<br />

given in Figure 2 resulted from the linear regression ln(τi) versus 1/Tw of<br />

equation (2) at constant pressure. Similar plots, ln(Fr) versus 1/Tw, were obtained<br />

also for the diffusion control from equation (3) at constant pressure.<br />

195

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