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MODELING CHAR OXIDATION AS A FUNCTION OF PRESSURE ...

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Farrauto and Batholomew (1997) proposed a three-step mechanism (adsorption<br />

of reactant, surface reaction, and desorption of product) and derived two expressions that<br />

can be simplified to the SNDL form based on two totally different assumptions: reaction<br />

control and desorption control. Since all four mechanisms can be described by the simple<br />

Langmuir rate equation, the physical meaning of k 1, k 0, and K depend on the mechanism<br />

leading to the SNDL. Therefore, it is more appropriate to k 1 and k 0 rather than k a and k d.<br />

Although the Langmuir rate equation is used in this study to model the carbon-oxygen<br />

reaction without specifying a mechanism, its application implies that the mechanism of<br />

this reaction necessarily involves adsorption and desorption of reactant(s) and product(s).<br />

Constant Fractional Reaction Order Issue<br />

Suuberg et al. (1988) carried out a detailed study on the reaction order and<br />

activation energy of char oxidation using phenol-formaldehyde resin chars with low<br />

impurity levels. It was observed that the reaction order varied in a narrow range<br />

(0.68±0.08) with burnout, char heat treatment temperature and oxidation temperature<br />

(573-673 K). The oxygen partial pressure examined was 0.5-101 kPa. The activation<br />

energy was observed to be about 130-150 kJ/mol (31 to 36 kcal/mol). Reade et al. (1995)<br />

and Reade (1996) determined the reaction orders and activation energies at atmospheric<br />

pressure for 7 different types of chars using a TGA. The reaction orders were observed<br />

to be about 0.7, and the activation energies were about 31-35 kcal/mol, consistent with the<br />

data by Suuberg and coworkers.<br />

These experiments raised a question for the theoretical validity of the Langmuir<br />

rate equation. In both of the above studies, the reaction order seems to be independent of<br />

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