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

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5.3 Transport processes in gases 113<br />

5.3.3 Heat conduction<br />

I<br />

Figure 5.10: Heat conduction is described by Fourier’s law.<br />

• Fourier’s law (for constant temperature gradient):<br />

−→ =<br />

µ <br />

= − <br />

(5.117)<br />

• Ansatz:<br />

y<br />

• Result:<br />

Γ = = internal energy per molecule (5.118)<br />

−→ <br />

= − 1 µ <br />

2 <br />

= − 1 µ µ <br />

<br />

2 <br />

= − 1 µ µ<br />

2 <br />

<br />

= − 1 µ <br />

2 <br />

<br />

<br />

(5.119)<br />

(5.120)<br />

(5.121)<br />

(5.122)<br />

= 1 2 (5.123)<br />

with = number density and = specific heat per molecule.

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