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Handbook of Solvents - George Wypych - ChemTech - Ventech!

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

Only when A is a solvate-active component in the mixed solvent A-B, in the general<br />

case, both A and B initial components undergo specific solvation:<br />

E + A↔ EA<br />

[9.69]<br />

F + A↔ FA<br />

[9.70]<br />

where:<br />

EA, FA solvated molecules by the solvent (it is not necessary to take into account solvation<br />

number for further reasoning)<br />

Since specific solvation <strong>of</strong> the adduct EF is negligible in comparison with specific solvation<br />

<strong>of</strong> initial components, A-B interaction in the solvent can be presented by the scheme:<br />

EA + FA ↔ EF + 2 A<br />

[9.71]<br />

i.e., the heteromolecular association process in the specific medium is a resolvation process,<br />

since both initial components change their solvative surrounding. That is why equilibrium<br />

constants <strong>of</strong> the heteromolecular association process, calculated without consideration <strong>of</strong><br />

this circumstance, belong indeed to the [9.71] process but not to the process [9.68].<br />

Let us develop a quantitative relation between equilibrium constants for the process<br />

[9.68]<br />

[ ] [ ][ ]<br />

K = EF / E F<br />

[9.72]<br />

EF<br />

and for the resolvation process [9.71]<br />

[ ] [ ][ ]<br />

K = EF / EA FA<br />

[9.73]<br />

us<br />

Concentration <strong>of</strong> the solvate active solvent or the solvate active component A <strong>of</strong><br />

mixed solvent in dilute solution is higher than the initial concentration <strong>of</strong> equilibrium components<br />

[E] 0 and [F] 0. Then activity <strong>of</strong> equilibrium components is equal to their concentrations.<br />

Then equations <strong>of</strong> material balance for components A and B can be set down as<br />

[ E] [ E] [ EF] [ EA]<br />

0<br />

= + + [9.74]<br />

[] F [] F [ EF] [ FA]<br />

0<br />

= + + [9.75]<br />

Hence equilibrium constants <strong>of</strong> the process [9.69, 9.70] are presented by expressions<br />

( 0 )<br />

( )<br />

[ ] / [ ] [ ] / [ ] [ ] [ ]<br />

K = EA E = EA E − EF − EA<br />

EA<br />

[ ] / [ ] [ ] / [ ] [ ] [ ]<br />

K = FA F = FA F − EF − FA<br />

FA<br />

Definition [9.72] is presented in the form<br />

[ ] [ ] [ ] [ ]<br />

/<br />

0<br />

( ) ( [] [ ][ ] )<br />

K = EF E − EF − EA F − EF − FA<br />

EF<br />

and re-solvation constant<br />

0 0<br />

[9.76]<br />

[9.77]<br />

[9.78]

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