the coking properties of coal at elevated pressures. - Argonne ...

the coking properties of coal at elevated pressures. - Argonne ... the coking properties of coal at elevated pressures. - Argonne ...

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These phenomena iiiay be described by examining Figure 4 which is a plot of the diffusion coefficient data for the three WYODAK samples measured at various carbon conversions, The diffusion coefficient increases slowly at low conversion and is soinewhdt stable during the mid-range of conversion, but increases very quickly as the reaction nears completion. Overall the diffusion coefficient increases as carbon conversion inreases. can be correlated by These data ( - DC = (0.06) exp (1.7 . Xc) r C which gave an index of determination of 0.88. Physically, the pore structure after devolatilization consists of a small amount of void, charac- teristic of the low diffusion coefficient which means that the resistance to diffusion is substantial. During reaction these pores gradually enlarge due to gasification of the carbon. Therefore as conversion increases the pore volume or void increases resulting in less resistance to diffusion, which is reflected by the increase in the diffusion coefficient. The CD2-char reaction occurs at active carbon sites upon the coal char surface. Thus the consumption of the reactant carbon will affect the total surface area. The total surface area decreases for these WYODAK samples as the carbon conversion increases, Figure 5. As conversion goes toward completion, pore walls which are measured as surface area are gasified or consumed by the reaction causing a decrease in total surface area. Figure 5 shows the specific surface area versus the carbon conversion. The specific surface area first goes through a minimum at low carbon con- versions and then a maximum as carbon conversion goes toward completion. Mahajan and Walker (19) predicted the maximum in their qualitative descrip- tion of the reaction process. Dutta and Wen (16) found that the reaction rate reaches amaximum at a carbon conversion of approximately 0.2 for reac- tions carried out at low temperatures. In an attempt to correlate this data they assumed a reaction rate model, Equation 1). for the chemical controlled regime. They incorporated into the model a proposed function of conversion which describes changes in surface area. a = 1 2 100 x"," exp (-Bx,-) where a equals the specific surface area divided by the initial specific surface area. Fitting the model to the reaction rate versus conversion data the parameters of the proposed function were estimated by Dutta and Wen (16). This function describing changes in specific surface area exhibits a maximum at approximately the same conversion as our data. At low temperatures where reaction rate is predominantly chemically controlled, the maximum in the reaction rate vs. conversion data can be 36 21 1 !

explained by the fact that the specific surface for chemical reaction also goes through a maximum and this behavior of the specific area has been experimentally confirmed. The problem with equation 22) is that it predicts either a maximum or minimum for the value of a, but not both. In a recent paper Bhatia and Perlmuter (20), using a random pore model have derived an expression for surface area as a function of converslon where L , S and E are the initial total pore length, surface area to volu8e rstio, a8d porosity respectively. This equation correlates our data predicting both a minimum and maximum in values of specific surface area, Figure 6. Acknowledgements This work was supported by a National Science Foundation Research Institution Grant, Eng. 7907988. References Gadsby, J., Long, F. J.. Sleighthom, P., and Sykes, K. W., "The Mechanism of the Carbon Dioxide Reaction," Proc. Roy. SOC, London, Ser. A, 193, 377 (1948). Gulbransen, E. A., and Andrew, K. F., "Reaction of Carbon Dioxide with Pure Artificial Graphite at Temperatures of 5OO0C," Ind. Eng. -- Chem., 44, 1039 (1952).\ Walker, P. L., Foresti, R. J. and Wright, C. C., "Surface Area Studies of Carbon-Carbon Dioxide Reaction," Ind. Eng. Chem., - 45, 8, 1703 (1953). Petersen, E. E., Walker, P. L. and Wright, C. C., "Surface Area Development Within Artificial Graphite Rods Reacted with Carbon Dioxide from 900°C to 1300oC," Ind. Eng. Chem., 47, 1629 (1955). Wicke. E., "Fifth Symposium on Combustion," p. 245, Reinhold, New York, New York (1955). Rossberg, V. M., and Wicke, E., "Transportvogage and Oberflachem- reaktionen bei der Verbrennung Graphi ti schen Kohlenstoff ,I' Chem. Ing. Tech., 28, 191 (1956). Ergun, S., "Kinetics of the Reaction of Carbon Dioxide with Carbon," J. Phys. Chem., 60, 480 (1956). 37

These phenomena iiiay be described by examining Figure 4 which is a plot<br />

<strong>of</strong> <strong>the</strong> diffusion coefficient d<strong>at</strong>a for <strong>the</strong> three WYODAK samples measured<br />

<strong>at</strong> various carbon conversions, The diffusion coefficient increases slowly<br />

<strong>at</strong> low conversion and is soinewhdt stable during <strong>the</strong> mid-range <strong>of</strong> conversion,<br />

but increases very quickly as <strong>the</strong> reaction nears completion. Overall <strong>the</strong><br />

diffusion coefficient increases as carbon conversion inreases.<br />

can be correl<strong>at</strong>ed by<br />

These d<strong>at</strong>a (<br />

- DC = (0.06) exp (1.7 . Xc)<br />

r C<br />

which gave an index <strong>of</strong> determin<strong>at</strong>ion <strong>of</strong> 0.88. Physically, <strong>the</strong> pore<br />

structure after devol<strong>at</strong>iliz<strong>at</strong>ion consists <strong>of</strong> a small amount <strong>of</strong> void, charac-<br />

teristic <strong>of</strong> <strong>the</strong> low diffusion coefficient which means th<strong>at</strong> <strong>the</strong> resistance to<br />

diffusion is substantial. During reaction <strong>the</strong>se pores gradually enlarge due<br />

to gasific<strong>at</strong>ion <strong>of</strong> <strong>the</strong> carbon. Therefore as conversion increases <strong>the</strong> pore<br />

volume or void increases resulting in less resistance to diffusion, which<br />

is reflected by <strong>the</strong> increase in <strong>the</strong> diffusion coefficient.<br />

The CD2-char reaction occurs <strong>at</strong> active carbon sites upon <strong>the</strong> <strong>coal</strong> char<br />

surface. Thus <strong>the</strong> consumption <strong>of</strong> <strong>the</strong> reactant carbon will affect <strong>the</strong> total<br />

surface area. The total surface area decreases for <strong>the</strong>se WYODAK samples<br />

as <strong>the</strong> carbon conversion increases, Figure 5. As conversion goes toward<br />

completion, pore walls which are measured as surface area are gasified<br />

or consumed by <strong>the</strong> reaction causing a decrease in total surface area.<br />

Figure 5 shows <strong>the</strong> specific surface area versus <strong>the</strong> carbon conversion.<br />

The specific surface area first goes through a minimum <strong>at</strong> low carbon con-<br />

versions and <strong>the</strong>n a maximum as carbon conversion goes toward completion.<br />

Mahajan and Walker (19) predicted <strong>the</strong> maximum in <strong>the</strong>ir qualit<strong>at</strong>ive descrip-<br />

tion <strong>of</strong> <strong>the</strong> reaction process. Dutta and Wen (16) found th<strong>at</strong> <strong>the</strong> reaction<br />

r<strong>at</strong>e reaches amaximum <strong>at</strong> a carbon conversion <strong>of</strong> approxim<strong>at</strong>ely 0.2 for reac-<br />

tions carried out <strong>at</strong> low temper<strong>at</strong>ures. In an <strong>at</strong>tempt to correl<strong>at</strong>e this d<strong>at</strong>a<br />

<strong>the</strong>y assumed a reaction r<strong>at</strong>e model, Equ<strong>at</strong>ion 1). for <strong>the</strong> chemical controlled<br />

regime. They incorpor<strong>at</strong>ed into <strong>the</strong> model a proposed function <strong>of</strong> conversion<br />

which describes changes in surface area.<br />

a = 1 2 100 x"," exp (-Bx,-)<br />

where a equals <strong>the</strong> specific surface area divided by <strong>the</strong> initial specific<br />

surface area. Fitting <strong>the</strong> model to <strong>the</strong> reaction r<strong>at</strong>e versus conversion<br />

d<strong>at</strong>a <strong>the</strong> parameters <strong>of</strong> <strong>the</strong> proposed function were estim<strong>at</strong>ed by Dutta and<br />

Wen (16). This function describing changes in specific surface area<br />

exhibits a maximum <strong>at</strong> approxim<strong>at</strong>ely <strong>the</strong> same conversion as our d<strong>at</strong>a.<br />

At low temper<strong>at</strong>ures where reaction r<strong>at</strong>e is predominantly chemically<br />

controlled, <strong>the</strong> maximum in <strong>the</strong> reaction r<strong>at</strong>e vs. conversion d<strong>at</strong>a can be<br />

36<br />

21 1<br />

!

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