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

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1.4 References 8<br />

2. Formal kinetics<br />

2.1 Definitions and conventions<br />

2.1.1 The rate of a chemical reaction<br />

I<br />

Rate of a simple reaction of type A + B → C+D:<br />

≡− A<br />

= − B<br />

=+ C<br />

=+ D<br />

<br />

= − [A]<br />

<br />

= − [B]<br />

<br />

=+ [C]<br />

<br />

=+ [D]<br />

<br />

(2.1)<br />

(2.2)<br />

We will usually write the concentrations of a species A by using square brackets, i.e.,<br />

[A] and understand that [A] is time dependent, i.e., [A ()].<br />

I Definition of the rate of reaction: 12 Using the standard convention for the signs<br />

of the stoichiometric coefficients of the reactants (−1) and products (+1), we write a<br />

generic chemical reaction as<br />

1 B 1 + 2 B 2 + → B + +1 B +1 + (2.3)<br />

I<br />

The progress of the reaction from reactants to products can be described using the<br />

reaction progress coordinate :<br />

= <br />

(2.4)<br />

<br />

The time dependence leads to the definition of the reaction rate.<br />

Definition 2.1: The reaction rate is defined as<br />

≡ 1 <br />

<br />

<br />

(2.5)<br />

For the above reaction, therefore,<br />

= − 1 1<br />

| 1 | = − 1 2<br />

| 2 | = =+ 1 <br />

| | =+ 1 +1<br />

| +1 | <br />

= (2.6)<br />

I Units: 13<br />

• SI unit for the reaction rate:<br />

[] = mol m 3 s (2.7)<br />

12 Reaction rate = Reaktionsgeschwindigkeit. Von manchen Schulen wird auch der Begriff “Reaktionsrate”<br />

verwendet. Die bevorzugte “einzig wahre korrekte Übersetzung” wird von der jeweils anderen<br />

Seite sehr ernst genommen, allerdings gilt in Kiel in dieser Hinsicht Waffenstillstand.<br />

13 For general information on the SI system see (Mills 1988) or (Homann 1995).

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