Krichevsky-Kasarnovsky equation

Fig. 11. Success and failure of the Krichevsky-Kasarnovsky equation. Solubility of nitrogen in liquid ammonia.

One interesting feature of the Krichevsky-Kasarnovsky equation is that it predicts a maximum in the solubility as the pressure becomes very large. If we consider the liquid solvent (component 1) to be involatile, differentiation of Eq. (60) with respect to pressure gives... 

Kirby local-conditions hypothesis, 245-246 Krichevsky-Ilinskaya equation, 169-170 Krichevsky-Kasarnovsky equation, 166-169... 

Krichevsky-Kasarnovsky equation ln(f2/x2) = In H2 + V (p - p )/RT Krichevsky-Ilinskaya equation... 

Carmichael, G. R., D. G. Streets, G. Calori, M. Amman, M. Z. Jacobson, J. Hansen and H. Ueda (2002) Changing trends in sulfur emissions in Asia Implications for acid deposition, air pollution, and climate. Environmental Sciences and Technology 356, 4707-4713 Carroll, J. J. and A. E. Mather (1992) The system carbon dioxide-water and the Krichevsky-Kasarnovsky equation. Journal of Solution Chemistry 21, 607-621 Carlton, A. G., C. Wiedinnyer and J. H. Kroll (2009) A review of secondary organic aerosol (SOA) formation from isoprene. Atmospheric Chemistry and Physics 9, 4987-5005 Carslaw, K. S., O. Boucher, D. V Spracklen, G. W. Mann, J. G. L. Rae, S. Woodward and M. Kulmala (2010) A review of natural aerosol interactions and feedbacks within the Earth system. Atmospheric Chemistry and Physics 10, 1701-1737... 

At elevated pressures, deviation from a straight line behavior often becomes noticeable. There are two primary reasons. First, a correction due to the partial molar volume vi of the dissolved gas is needed, and second, a correction due to composition changes must be taken into account (although the latter need only be considered in the case of a very soluble gas). The first equation is often referred to as the Krichevsky-Kasarnovsky (40) equation. Tabulations for the partial molar volumes of many simple common gases (eg, H2, CO) in common liquids (eg, C2H5OH, toluene) are published (41). 

For gas-liquid solutions which are only moderately dilute, the equation of Krichevsky and Ilinskaya provides a significant improvement over the equation of Krichevsky and Kasarnovsky. It has been used for the reduction of high-pressure equilibrium data by various investigators, notably by Orentlicher (03), and in slightly modified form by Conolly (C6). For any binary system, its three parameters depend only on temperature. The parameter H (Henry s constant) is by far the most important, and in data reduction, care must be taken to obtain H as accurately as possible, even at the expense of lower accuracy for the remaining parameters. While H must be positive, A and vf may be positive or negative A is called the self-interaction parameter because it takes into account the deviations from infinite-dilution behavior that are caused by the interaction between solute molecules in the solvent matrix. 

The exponential terms in equations (S.5) and (S.6) are from Krichevsky and Kasarnovsky (13) for pressure correction to the Henry s constant. The constant was presented in a temperature fit equation of the same form as the equilibrium constant ... 

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