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An Example Application of the Mean Value Theorem

To account for the effects of transport resistance in a catalyst pellet, effectiveness factors (defined as the ratio between the observed reaction rate to that obtained when neither concentration nor temperature gradients exist between the ambient phase and any point in the catalyst pellet) are used [Pg.62]

Reactions in series were discussed in Section 2.4.2.1. For reactions occurring in a spherical catalyst pellet with the pore radius R, the concentration of the intermediate product, B, is proportional to the overall effectiveness factor given by [Pg.63]

The limit of a function as its independent variable approaches a value is indeterminate if it has one of the following forms  [Pg.63]

L Hospital s rule is applicable to the first two forms, namely, 0/0 or The rest of the forms can be rewritten in terms of the first two. [Pg.63]

For limits that yield 0/0 or oo/oo, L Hospital s rule states [Pg.63]


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An application

Example applications

Examples of applications

Mean value

THE THEOREM

The Mean Value Theorem

The Value

Theorem mean value

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