The oxidation of carbon monoxide is carried out in excess oxygen in a "fluidized" CSTR containing catalyst particles impregnated with platinum: | |||
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The rate law for the disappearance of CO, (A), is | (CDE8-3.1) | ||
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Combining a mole balance with the rate law gives | (CDE8-3.2) | ||
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which is of the form | |||
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(CDE8-3.3) | ||
At the bifurcation point,![]() |
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(CDE8-3.4) | |
and Equation (CD8-12) requires | |||
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(CDE8-3.5) | ||
Combining Equations (CDE8-3.4) and (CDE8-3.5) yields | |||
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(CDE8-3.6) | ||
Solving Equation (CDE8-1.6) for CA gives us | |||
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(CDE8-3.7) | ||
For![]() |
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(CDE8-3.8) | ||
Note that the right-hand side of Equation (CDE8-3.8) goes through
a maximum as![]() |
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(CDE8-3.9) | ||
Substituting Equation (CDE8-3.9) into the right-hand side of Equation (CDE8-3.8) gives the maximum as | |||
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(CDE8-3.10) | ||
The maximum value of the right-hand side is 1/27; consequently, if![]() |
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![]() Figure CDE8-3.1 |
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To learn the regions where MSS exist, we need to carry the analysis
further. If we let![]() |
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(CDE8-3.11) | ||
and Equation (CDE8-3.5) as | |||
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(CDE8-3.12) | ||
Equations (CDE8-3.11) and (CDE8-3.12) are used to form Table CDE8-3.1.
Figure CDE8-3.2 shows a plot of as a function of![]() |
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![]() Figure CDE8-3.2 |