FLUIDITY AND TEMPERATURE 133 Unfortunately, fluidity-temperature curves are not generally linear throughout. Even the aliphatic hydrocarbons, which are supposedly unassociated, give curves which depart considerably from linearity. For this peculiarity two possible explanations suggest themselves. The effect of expansion is not linear except in the case of mercury and there may be changes in the molecular weight, either association or dissociation. Later each of these causes will be considered in detail. Suffice it for the present to note that the alcohols, Fig. 46, give fluidity-temperature curves which are strongly curved at low fluidities, but the curves tend to become linear at high fluidities as is true of the other classes of compounds. In a_________________________ given homologous series the evi- dence at hand shows a tendency for the fluidity-temperature curves near the ordinary boil- ing-points to become parallel to each other with equal dis- tances between them. But they must all meet at absolute zero of temperature, which requires that in the higher members of the series at least 7 7 7 7 7 7 7 Temperature absolute FIG. 49.—Diagram illustrating the there Should be a region of fluidity-temperature curves of a- homol- . & . ogous series of liquids. rapid curvature. This is the region of "softening" which has been observed in many viscous substances. According to the views here presented the phe- nomenon of softening may not occur in any substance con- sisting of monatomic molecules but will certainly become manifest as we increase the complexity of the molecule. These ideas are represented diagrammatically in Fig. 49. If they represent accurately the actual behavior of substances, the fluidity-temperature curves have the following properties: (1) They all approach linearity as the fluidity increases, i.e., each tends to become asymptotic to a line which forms an acute angle with the temperature-axis. (2) As the fluidity becomes very small, each curve tends to become asymptotic to the tem- perature-axis itself. Thus the general form of the fluidity- temperature curve must be a hyperbola, since this is the