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Handbook of Solvents - George Wypych - ChemTech - Ventech!

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544 Y. Y. Fialkov, V. L. Chumak<br />

Thus Kus is calculated as a slope ratio <strong>of</strong><br />

A<br />

coordinates: 1/( Ka - K a ) = (1-xB)/xB and (Ka -<br />

A<br />

K a ) remainder is obtained as Y-intercept.<br />

Dependence <strong>of</strong> eq. [9.101] is presented in<br />

Figure 9.14.<br />

Kus for proton was calculated in a series<br />

<strong>of</strong> mixed solvents. It was shown 47 that, when<br />

pyridine, dimethylalanine or diphenylamine<br />

(resolvating agents with decreasing donor<br />

numbers) are added to the solution <strong>of</strong><br />

trifluoroacetic acid in DMSO, proton decreases<br />

consecutively and its values are equal<br />

to 2.7x10 4 ; 4.2x10 3 A<br />

Figure 9.14. Dependence <strong>of</strong> 1/(K and 35.4, respectively.<br />

a - K a ) for CF3COOH<br />

on the mixed solvent composition DMSO (A) - Consideration <strong>of</strong> permittivity <strong>of</strong> the<br />

dimethylalanine at different temperatures.<br />

mixed solvent has allowed calculation <strong>of</strong> proton<br />

in whole concentration range <strong>of</strong> the<br />

mixed solvent DMSO - diphenylamine. The data have been approximated using equation<br />

[9.55].<br />

ln K us = -12.2 + 3400/T + 453.7/ε - 75043/εT<br />

Equilibrium constants for exchange process <strong>of</strong> alcohol shell <strong>of</strong> solvates to water shell<br />

were calculated: 48<br />

+<br />

+<br />

ROH + H O ↔ H O + ROH<br />

[9.102]<br />

2<br />

2 3<br />

The solutions <strong>of</strong> HCl and HOSO 3CH 3 in aliphatic alcohol (i.e., C nH 2n+1OH) - normal<br />

alcohol C 1-C 5 and isomeric alcohol C 3-C 5 have been studied. If the components taking part<br />

in resolvation process are capable <strong>of</strong> H-bonding, the anion solvation by these components<br />

cannot be neglected. The differences in K us values for both acids in different solvents may<br />

be explained as follows.<br />

The dependence <strong>of</strong> K us on permittivity and temperate is described by the equation:<br />

( )<br />

2<br />

ln K = a00 + a01 / T + a02 / T + a10 + a11 / T / ε [9.103]<br />

The coefficients <strong>of</strong> equation [9.103] are presented in Table 9.5.<br />

Table 9.5. Coefficients <strong>of</strong> the equation [9.103] for constants <strong>of</strong> resolvation process<br />

System a00 a01×10 -2<br />

a02×10 -4<br />

a10 a11×10 -3<br />

±δ<br />

HCl - n-alcohol 12.4 46.0 56.3 186.8 71.1 0.3<br />

HCl - isomeric alcohol 13.1 5.9 -36.9 318.4 94.7 0.2<br />

HOSO3CH3 - n-alcohol 6.3 4.4 -5.4 177.7 60.9 0.3<br />

The solvent effect in the following resolvation process was studied: 49

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