PHYSICAL CHEMISTRY IN BRIEF

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CHAP. 7: PHASE EQUILIBRIA [CONTENTS] 205

7.7 Liquid-gas equilibrium in mixtures


This problem concerns the solubility of gases in liquids in dependence of temperature, pressure,
and the liquid composition.


7.7.1 Basic concepts.



  • Liquid-gas equilibrium
    Let us have a multicomponent system formed by two coexisting phases, liquid and
    gaseous. If the system temperature is higher than the critical temperature of any of
    its components, we have to use the standard state of a pure hypothetical substance
    at an infinite dilution for this component [see 6.5.3]. In such cases we speak about
    liquid-gasequilibrium.


Note: If the system temperature is lower than the critical temperatures of all its com-
ponents, we may calculate phase equilibrium either as liquid-vapour equilibrium or as
liquid-gas equilibrium.


  • Gas solubility
    Gas solubility is understood as an equilibrium concentration of the gaseous component
    in the liquid phase of a given composition at a given temperature and pressure.


7.7.2 Henry’s law for a binary system


The relation
f 2 =KHx 2 , (7.40)


wheref 2 is the fugacity of component 2 in the gaseous phase andx 2 is its molar fraction in
the liquid, is called Henry’s law, and the constantKH=f(T, p) is calledHenry’s constant.
Component 2 is that which prevails in the gas, component 1 is that which prevails in the liquid.



  • At larger deviations from Henry’s law, relation (7.40) is made more accurate by way of
    introducing the activity coefficient


f 2 =KHx 2 γ 2 [x], (7.41)

whereγ 2 [x]defined by relation (6.100) is a function of composition.
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