This paper presents a model for the evaporation of droplets of multicomponent liquids in which the mixture composition, properties and vapour-liquid equilibrium are described by the methods of continuous thermodynamics. Transport equations for the parameters of the distribution function describing the mixture composition are derived and solved numerically. The resulting solutions describe the changes in liquid and vapour composition with time as well as the variation of vapour composition in space. Sample calculations are presented for distributions approximating commercial petroleum fuels.