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MODELING CHAR OXIDATION AS A FUNCTION OF PRESSURE ...

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List of Tables<br />

Table 2.1. Test Conditions for Various High Pressure Oxidation Rate Measurements….19<br />

Table 4.1. The Relative Error * (%) in the General Asymptotic Solution for m-th Order<br />

Rate Equations Using Eq. (4.2)………………………………………….33<br />

Table 4.2. The Relative Error* (%) in the General Asymptotic Solution for the<br />

Langmuir Rate Equation Using Eq. (4.3)………………………………..33<br />

Table 4.3. The Pattern of Error Associated with the General Asymptotic Solution for<br />

both Types of Reaction Rate Equations…………………………………. 37<br />

Table 4.4. Values of g(M T ) and f c (M T , m s )………………………………………………37<br />

Table 4.5. The Relative Error* (%) in the Corrected General Asymptotic Solution for<br />

m-th Order Rate Equations……………………………………………….38<br />

Table 4.6. The Relative Error* (%) in the Corrected General Asymptotic Solution for<br />

the Langmuir Rate Equation…………………………………………….. 39<br />

Table 4.7. Comparisons Between Simpler M T expressions (Eq. 4.24 and Eq. 4.25)<br />

and the Standard M T Expression for Langmuir Rate Equation (Eq. 4.3)<br />

at Different Values of KC s ………………………………………………. 40<br />

Table 4.8. The Relative Error* (%) in the General Asymptotic Solution for the<br />

Langmuir Rate Equation Using the Simpler Modulus in Eq. (4.24)……..41<br />

Table 4.9. The Relative Error* (%) in the General Asymptotic Solution for the<br />

Langmuir Rate Equation Using the Simpler Modulus in Eq. (4.35)……..41<br />

Table 4.10. Summary of the Uncorrected and Corrected General Asymptotic Solutions<br />

for Predicting the Effectiveness Factor for m-th Order Rate Equations<br />

and Langmuir Rate Equations…………………………………………… 44<br />

Table 5.1. The values of n obs at different values of KC s based on the standard general<br />

modulus and simpler general moduli……………………………………. 49<br />

Table 5.2. The Values of Critical Pore Radius (Å) at Different Temperatures and Gas<br />

Pressures…………………………………………………………………56<br />

Table 7.1. Pore Structure Parameters in Modeling the Data by Banin et al………………92<br />

Table 7.2. Results of Calculations of Reaction Rate and Reaction Order………………..94<br />

Table 7.3. Conditions of the Large Particle Experiments………………………………..98<br />

Table 7.4. Parameters Used in Modeling the Data by Mathias…………………………102<br />

Table 7.5. The Experimental Conditions and Measurements by Monson (1992)………105<br />

xiii

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