The total vapour pressure of liquid mixtures of argon and krypton has been measured over the whole range of composition at 11577°K (the triple-point of krypton) and at 103.94"K from an argon mole fraction of 4 . 4 to unity. The volume increase VE on mixing per mole has also been determined (at 11577°K). The excess Gibbs energy GE of mixing per mole has been evaluated, and for a given mixture is only about half that estimated from earlier experimental studies of this system. For the equimolar solution, GE is 20.06 cal at 11577"K, and 19.71 cal at 103-94°K. VE is negative, and has an unsymmetrical dependence on mole fraction.The experimental @ has been compared with values calculated from statistical theories of solutions. Theories based on the " two-liquid" or "refined average potential" model predict GE values too high by a factor of about 2. The calculated values are relatively little affected by the choice of intermolecular energy parameters or by the precise form of the intermolecular potential adopted. Values calculated on the " three-liquid " or " separate interaction " model are in much closer agreement with experiment. None of the ways of calculating VE at present available is satisfactory when applied to the argon+krypton system. A possible reason for the unsymmetrical variation of VE with composition is briefly considered.Details are given of a simple but efficient low-temperature fractionating column.Experimental studies have been made in this laboratory of the thermodynamic properties of a number of binary liquid systems composed of simple molecules, with the object of obtaining information suitable for testing statistical theories of solution. In all of the systems investigated, however, one or sometimes both of the components has consisted of diatomic molecules or of simple polyatomic molecules like methane. When there has been disagreement between the observed and calculated thermodynamic functions (which has frequently been the case), it has been difficult to know how far this has been because the theoretical treatment makes assumptions which are not necessarily valid when diatomic and polyatomic molecules are involved, as, e.g., that the interaction energy of a pair of molecules is a function only of their separation and not of their mutual orientation, that the pure liquids conform to the law of corresponding states, and that the partition function of a diatomic or polyatomic molecule for rotational degrees of freedom is the same for the pure liquid and for the solution. It has therefore been desirable to study the simplest possible binary liquid mixtures, viz., those consisting of two rare gases. The liquid ranges of the rare gases are such that they limit to two the number of such systems which can be investigated over the whole range of composition, viz., argon + krypton and krypton + xenon. An accurate study of either of these, however, is experimentally more difficult than a similar investigation of the systems already examined, since the vapour pressure of the more volatile component at the...