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Solubility of inert gases in liquids as an example of spontaneously arising nanodispersions




 

L.N. Miserovsky, Doctor of science, Professor; P.R. Smirnov

G.A. Krestov Institute of Solution Chemistry of Russian Academy of Sciences

 

This report is devoted to thermodynamical analysis of inert gases liquid system under isochore-isobaric conditions. The analysis is based on the following points:

1. According to [1] solubility of inert gases in liquids (mole to mole of liquid) is described by equation

 

(1)

 

here VLm is the molar volume of the liquid; k is the molecular packing coefficient of the liquid calculated by [2]; k * is the limiting value of this parameter corresponding to the condition n 2 = 0; c g,∞ is the equilibrium gas concentration in the intrinsic phase, mol m3; K D is the constant of gas particles partition between the intrinsic phase and its intermolecular volume (VL,f *), which is determined from the ratio

 

(2)

 

where VgW is the van der Waals volume of 1 mole of gas molecules.

2. Mole Gibbs energy of gas (G g) at the temperature T and concentration equal to c g is subjected to equation

 

G g = G g0 kh (c g 1) + T ks ln c g, (3)

 

were G g0 is standard (at the gas concentration 1 mol m-3) mole Gibbs energy at the temperature T; kh and ks are empirical constants.

3. Real transfer process of gas particles to volume of liquid is approximated by hypothetical process, that consists of two stages: transfer of some quantity of gas moles from own phase to physical micro volume numerically equal to VL,f *, and distribution of these gas particles into separate cavities of the gas.

Verification of the model is conducted on the example of noble gases and nitrogen solubility data in n -decane at 280 300 K.


As a result it has been determined that:

biphasic bicomponent systems that arise at the contact of inert gases with liquids are thermodynamically unstable;

the increase of Gibbs energy in these systems is connected with transition of liquid component to volume tense condition as a result of formation of the second gas component;

the liquid, saturated by inert gas, can be considered a dispersion of gas clusters spontaneously formed in cavities of intermolecular volume;

the energy required for the formation of the cavities for gas clusters is compensated externally by maintaining constant temperature.

 





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