State. explain. and justify the steady-state approximation.

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter20: Kinetics
Section: Chapter Questions
Problem 20.80E
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State. explain. and justify the steady-state approximation.

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Step 1

The steady state approximation is applied under those condition in which all steps that involve in the reaction have the approximately same speed or it is hard to predict the slowest step. Consider the hypothetical reaction, shown below where R is the reactant, R* is the radical, and P is the product.

Chemistry homework question answer, step 1, image 1

Step 2

In the above reaction mechanism, R* is intermediate in the reaction mechanism whose life spam is very short and according to steady state approximation, the intermediate is consumed as fast as it is produced. So, on applying steady state approximation to R*, the concentration of R* is calculated as shown below.

Chemistry homework question answer, step 2, image 1

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