# Literature Review: Prediction of Henry’s Law Constant

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Introduction

An informal definition of Henry’s Law states that the solubility of a compound in a solvent is directly proportional to the partial pressure of the compound in the vapour phase, at low partial pressures. In a plot of concentration dissolved vs. partial pressure, the slope of the curve is the Henry’s Law Constant (HLC). The system is taken to be at equilibrium; that is the Gibbs free energy is at a global minimum so the macroscopic properties of the system are static. Unfortunately this definition is often too simplistic to be used in most practical applications for reasons which will be explained later.

The formal definition of the HLC is:

lim┬(x_i→0)⁡〖(f ̂_i^L)/x_i 〗=H_ij (1)

where f ̂_i^L is the liquid fugacity of the solute i, xi is the mole fraction, and Hij is the HLC of the solute, in the solvent j. It is important to mention that the HLC is specific a particular solute-solvent pair. A common mistake is to use the vapour-phase fugacity instead of the liquid-phase one, and simply to take the HLC as the ratio of the vapour-phase fugacity to liquid phase composition. This is incorrect as it assumes that the activity coefficients are equal to one, and the HLC is the reference fugacity (Carroll, 1991). The most common form of Henry’s Law used assumes that the vapour is at a pressure low enough such that it acts as an ideal gas. When this assumption is made both the activity coefficient, γ, and the fugacity coefficient, φ ̂, are equal to unity.

x_i H_ij=y_i P (2)

This form of Henry’s Law can be used up to a pressure of about 200 kPa and liquid concentrations of 1 mol% (Carroll, 1991). This shows that at low partial pressures a plot of mole fraction of a compound vs. partial pressure of the compound in the g...

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...andan, N. N. and Speece, R. E. (1988) QSAR Model for Predicting Henry's Constant. Environmental Science & Technology, 22(11), pp. 1349-1357.

Sedlbauer, J., Bergin, G. and Majer, V. (2002) Group contribution method for Henry's Law constant of aqueous hydrocarbons. AIChE Journal, 48(12), pp. 2936-2959.

Sheikheldin, S. Y., Cardwell, T. J., Cattrall, R. W., Luque de Castro, M. D. and Kolev, S. D. (2000) Determination of Henry's Law Constants of Phenols by Pervaporation-Flow Injection Analysis. Environmental Science & Technology, 35(1), pp. 178-181.

Smith, F. L. and Harvey, A. H. (2007) Avoid common pitfalls when using Henry's law. Chemical Engineering Progress, 103(9), pp. 33-39.

Yin, C. and Hassett, J. P. (1986) Gas-partitioning approach for laboratory and field studies of mirex fugacity in water. Environmental Science & Technology, 20(12), pp. 1213-1217.