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Physical Chemistry 3: — Chemical Kinetics — - Christian-Albrechts ...

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2.1 Definitions and conventions 11<br />

I Example: Considering a generic rate law, like<br />

− [A] = | | [A] [B] (2.16)<br />

<br />

the total order of the reaction is = + . We also say, the reaction is -th order in<br />

[A] and -th order in B, ...<br />

The order of a reaction may be determined by the tangent method (Fig. 2.1): Its effects<br />

on the reaction rate are observable by increasing (e.g., doubling) the concentrations of<br />

the reaction partners one by one. Better methods will be explored later (⇒ homework<br />

assignments).<br />

I<br />

Caveats:<br />

• The order of a reaction is, in general, an empirical quantity; it has to be determined<br />

by an experimental measurement.<br />

• The order of a complex reaction cannot be determined by simply looking at the<br />

overall reaction.<br />

• There are reactions with integer order, like the first-order or second-order reactions<br />

above (Eqs. 2.14 and 2.15). However, the order can also be fractional, as for the<br />

following reactions:<br />

(1) CH 3 CHO → CH 4 +CO:<br />

[CH 4 ]<br />

<br />

= [CH 3 CHO] 32 (2.17)<br />

(2) H 2 +Br 2 → 2HBr:<br />

[HBr]<br />

<br />

= 0 [H 2 ][Br 2 ] 12<br />

1+ 00 [HBr] [Br 2 ]<br />

(2.18)<br />

• A negative order in a concentration means that the respective species acts as an<br />

inhibitor.<br />

• A positive order in a product concentration means that the reaction rate is enhanced<br />

by autocatalysis.<br />

2.1.4 The molecularity of a reaction<br />

I<br />

Definition 2.3: The molecularity of a reaction is the number of molecules in an elementary<br />

reaction step at the microscopic (molecular) level.

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