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Handbook of Solvents - George Wypych - ChemTech - Ventech!

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9.4 Mixed solvent influence on the chemical equilibrium 533<br />

Table 9.2. Equilibrium constants <strong>of</strong> adduct (nHAc•TBP) formation in the mixed solvent<br />

n-hexane - nitrobenzene (298.15K) and coefficients <strong>of</strong> equation [9.65]<br />

Solvent<br />

HAc•TBP 2HAc•TBP 3HAc•TBP 4HAc•TBP<br />

Hexane (ε=2.23) 327 8002 6.19×10 5<br />

1.46×10 -7<br />

H+NB (ε=9.0) 28.1 87.5 275 1935<br />

H+NB (ε=20.4) 19.6 45.0 88.1 518<br />

Nitrobenzene<br />

(ε=34.8)<br />

17.4 36.2<br />

Coefficients <strong>of</strong> equation [9.65]:<br />

60.8 337<br />

a 2.69 3.28 3.58 5.21<br />

b 5.82 10.73 18.34 21.22<br />

When stoichiometric coefficients are equal to m and n (equation [9.64]), K add expression<br />

is an equation <strong>of</strong> higher degree relative to c M<br />

o<br />

n<br />

o ( M)<br />

( MF M)<br />

Kadd<br />

K = c c −nc c −mc<br />

/ , , [9.67]<br />

EmFn M M E<br />

Let us consider an example <strong>of</strong> the interaction between acetic acid and tributyl phosphate<br />

(the change <strong>of</strong> permittivity <strong>of</strong> universal solvent permits us to change essentially the<br />

output <strong>of</strong> the reaction product). When initial concentration <strong>of</strong> the components equals to<br />

o<br />

c M=0.1<br />

mol/l, the output (in %) <strong>of</strong> complexes <strong>of</strong> different composition is listed in table below:<br />

1:1 2:1 3:1 4:1<br />

In hexane 84 46 32 22<br />

In nitrobenzene 43 13 4.5 2<br />

Relative concentration changes the more essentially, the larger the value <strong>of</strong> electro-<br />

el<br />

static component <strong>of</strong> the process free energy, ΔG ε =0 .<br />

Just as in the previous cases, the solvent use in this case is an effective means <strong>of</strong> process<br />

adjustment. To reduce the output <strong>of</strong> adduct HAc•TBF in nitrobenzene to the same<br />

value as in hexane solution, nitrobenzene solution must be cooled down to -78 o C (taking<br />

into account that enthalpy <strong>of</strong> adduct formation equals 15 kJ/mol). 24 Naturally, the process is<br />

not possible because the nitrobenzene melting point is +5.8 o C.<br />

Let us consider the effect <strong>of</strong> specific solvation on equilibrium constant <strong>of</strong> the<br />

heteromolecular association process as an example <strong>of</strong> associate formation with a simplest<br />

stoichiometry:<br />

E + F ↔ EF<br />

[9.68]<br />

m

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