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Belay Zeleke Dilnesa - Eawag-Empa Library

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CHAPTER 2 MATERIALS AND METHODS<br />

0<br />

that the heat capacity of the reaction, rC p , is constant in the considered temperature<br />

range.<br />

A2<br />

A0<br />

A lnT<br />

;<br />

T<br />

log KT 3<br />

0.<br />

4343<br />

R<br />

0<br />

0<br />

SCp 1lnT <br />

A0 r T0<br />

r T0<br />

0.<br />

4343<br />

<br />

R<br />

0<br />

0<br />

H Cp T <br />

A2 r T0<br />

r T0<br />

0.<br />

4343<br />

A <br />

R<br />

<br />

<br />

0<br />

3 r T0<br />

Cp<br />

<br />

<br />

<br />

T<br />

ln<br />

0 0<br />

0<br />

rST<br />

rST<br />

Cp<br />

0 r T0<br />

T0<br />

0<br />

0<br />

0<br />

rH<br />

T rH<br />

T Cp ( 0 r T0<br />

0<br />

G H T<br />

r<br />

0<br />

T<br />

r<br />

0<br />

T<br />

r<br />

S<br />

0<br />

T<br />

T T<br />

)<br />

0<br />

0<br />

where T0 is the reference temperature (298.15 K), S0 the entropy, H 0 the enthalpy and G 0<br />

the Gibbs free energy. A more detailed description of the temperature corrections used in<br />

GEMS is given elsewhere [50] and in the online documentation of GEMS. The value of<br />

0<br />

the heat capacity of the reaction, rC p , has little influence on the calculated log K values<br />

in the temperature range 0-100 °C. Generally, the difference between the 3-term<br />

extrapolation and the more complete description using 7 terms is usually negligible in the<br />

temperature range from 0 to 100 °C [51].<br />

The entropy S° was adjusted to obtain the best fit between the measured solubility data at<br />

different temperatures and the calculated solubility products. As only solubility products<br />

at two or three different temperatures were available, only the entropy was fitted, while<br />

27

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