# Chapter 3 Example

## Rate Law in terms of Partial Pressures

An example of a typical rate law found in the catalystic engineering literature for the gas phase catalyzed reaction.

If the reaction follows an Eley-Rideal mechanism (Ch 10) it will take the form

where k is the specific reaction rate and K_{A} and K_{C} are the equilibrium adsorption constant of K_{A} = 2 atm^{-1} and K_{C} = 0.5 atm^{-1}.

(a) Express as a function of conversion for an entering partial pressure of 8 atm
Using the ideal gas law we know

similarly

For an equal molar feed

We now can solve for the catalyst weight to achieve a specific conversion by combining -r`_{A} in terms of X with the mole balance

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