FLUIDITY AND VAPOR PRESSURE 159 when they belong to very different classes. For 17 substances compared by this method, the average deviation between the observed and calculated values is approximately 3 per cent, so long as the vapor pressure is above 10 cm. A few examples will serve to make the use of the method clear. Thus the fluidity of ethyl acetate at its boiling-point (77.2°C) is 395.6 and the reduction factor is therefore 500/395.6 = 1.264. The fluidity of the substance as determined by Thorpe and Rodger for 30° is 249.9 and the reduced fluidity is therefore 249.9 X 1.264 = 315.8, and the vapor pressure read from the Table XL for the standard curve corresponding to this fluidity is 120.4 mm, while the vapor pressure observed by Young is 118.7 mm. As a further example, ethyl propyl ether has a flu- idity of 479.9 at its boiling-point (63.4°). The factor is 500/479.9 = 1.042. The fluidity at 20° as determined by Thorpe and Rodger is 314.9 and this reduced is 314.9 X 1.042 = 328.1, and according to the Table XL this corresponds to 142.5 mm which is practically identical with the experimental value of 142.6. Associated substances do not show the relation between fluidity and vapor pressure shown elsewhere. The greatest deviation is shown by isobutyl alcohol and formic acid and ethyl alcohol. In Fig. 59, there is plotted the vapor-pressure-tempera- ture curve of heptane (not reduced) with several "associated" substances which show large deviation from the standard. We note that isobutyl alcohol, formic acid, and ethyl alcohol show the most rapid increase in the vapor pressure. This is added evidence of the breaking down of association. (C/. pp. 276 and 277.) Before concluding our consideration of vapor pressure it may be remarked that since fluidity is related to volume and at the same time to vapor pressure, there is necessarily a relation be- tween volume and vapor pressure. The volume is doubtless affected by the internal forces between the molecules which we ordinarily call cohesion and vapor pressure naturally depends upon the same. So there may quite possibly be a connection between fluidity and cohesion, even though it is not the connec- tion which is often supposed.1 Cf. p. 147 et seq.