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Handbook of Solvents - George Wypych - ChemTech - Ventech!

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622 Victor Cherginets<br />

Ω= 14 − pK + pO<br />

l<br />

2−<br />

taking into account [10.4.15] eq. [10.4.16]<br />

( 14 )<br />

Ω= − pK + pI + pO<br />

[10.4.16]<br />

2−<br />

KCl −NaCl<br />

l [10.4.17]<br />

where (14 - pK KCl-NaCl)istheΩvalue in KCl-NaCl standard solution (pO=0) and pO 2- is the<br />

instrumental pO in the solvent studied.<br />

Therefore, the shift <strong>of</strong> pO scales vs. KCl-NaCl depends only on the I l value. On the basis<br />

<strong>of</strong> [10.4.13] it has been estimated as +7-8 log units (Figure 3 25 ) for KCl-LiCl at 1000K.<br />

Homogeneous Lux acid-base equilibria <strong>of</strong> type <strong>of</strong> [10.4.6] have not been earlier considered<br />

as available for estimations <strong>of</strong> oxoacidity indices. However, pK for these reactions<br />

may be written as<br />

pK<br />

NB<br />

=− log = pK KCl −NaCl<br />

+ pI l<br />

[10.4.18]<br />

N N I<br />

− ( 2 − )<br />

1 1<br />

A O l<br />

For the use <strong>of</strong> this type <strong>of</strong> equilibrium it is necessary to make the following non-thermodynamic<br />

assumption:<br />

⎛ γ<br />

⎜<br />

⎝ γ<br />

B<br />

⎞<br />

⎟<br />

⎠<br />

A l<br />

⎛ γ<br />

= ⎜<br />

⎝ γ<br />

B<br />

⎞<br />

⎟<br />

⎠<br />

A KCl −NaCl<br />

[10.4.19]<br />

where:<br />

γ corresponding activity coefficients <strong>of</strong> the acid and the base in solvent “l” and KCl-NaCl<br />

The use <strong>of</strong> [10.4.16] where A and B are anion acid and base for estimations <strong>of</strong> the<br />

oxobasicity indices may be justified because the acid and the conjugated base are negatively<br />

-2 -2<br />

charged (in the pair Cr2O7 /CrO4 they are <strong>of</strong> the same charge).<br />

Finally, let us consider the usability <strong>of</strong> the oxide solubility data<br />

MeO = Me + O<br />

s<br />

2+ 2−<br />

for pI l estimations. The solubility product value, P, may be presented as<br />

or<br />

− ( )<br />

P = N N I = P I<br />

1 −1<br />

MeO, l 2+ Me<br />

2−<br />

O l MeO, KCl −NaCl<br />

l<br />

pP = pP −pI<br />

MeO, l MeO, KCl − NaCl l<br />

[10.4.20]<br />

[10.4.21]<br />

[10.4.22]<br />

Metal cations in molten halides form halide complexes. The reaction [10.4.20] for<br />

chloride melts (N Cl - =1) suggests that the distribution <strong>of</strong> Me 2+ between different complexes<br />

MeCl n 2-n remains unchanged (similarly to eq. [10.4.10]-[10.4.12] for the oxide ion distribution).<br />

It is clear that the solubility data may be used for estimations <strong>of</strong> the oxoacidity indices<br />

only in melts with the same anion composition. The anion changes cause errors since Me 2+<br />

in eq. [10.4.21] is referred to essentially different acids, e.g., halide complexes MeCl 4 2- and

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