determinations (previously unpublished) of Wüllner, which somewhat exceed his own. (On the other hand, the observations of Bineau substantially agree with those of Regnault.)
If we compare the observations of Horstmann with the values given by equation (12), on the basis of Landolt's pressures, we find a very marked disagreement, as may be seen by the following numbers, which relate to the highest temperatures of Horstmann's experiments, where the disagreement is least:—
| Temperature | 63.1 | 62.9 | 59.9 | 51.1 | 49.0 | 48.7 | 44.6 | 41.4 |
| Pressure (Land.) | 110.0 | 109.2 | 97.0 | 69.0 | 63.4 | 63.0 | 53.1 | 46.6 |
| Density cale. eq. (12) | 3.67 | 3.67 | 3.69 | 3.75 | 3.77 | 3.77 | 3.79 | 3.81 |
| Density obs. | 3.19 | 3.11 | 3.12 | 3.16 | 2.89 | 2.98 | 2.75 | 2.62 |
It will be observed that while the values obtained from equation (12) increase with diminishing temperatures, the values obtained from Horstmann's experiments diminish. This diminution continues as far as the experiments go, until finally at 12° or 15° the densities are only one half as great as those obtained by Bineau, by direct experiment at the same temperatures and at somewhat less pressures, in a series of observations which bear every mark of a very exceptional precision. (Compare Tables VII and IV.) The explanation of this disagreement is doubtless to be found in the values of the pressures employed in the calculations, and it will be interesting to see how the results may be modified by the adoption of different pressures.
In determinations of the pressure of saturated vapors, too great values are so much more easily accounted for than errors in the opposite direction, especially when the pressures are small, that especial interest attaches to the lowest figures which are supported by a competent authority. The experiments of Regnault[1] were made with three different preparations of acetic acid, of which the second was once, and the third twice, purified by distillation over anhydrous phosphoric acid. Each distillation considerably diminished the pressure of the saturated vapor, the effect of the second distillation being about half that of the first. The numbers obtained with the third preparation are given in the following table with their logarithms, and the differences of the logarithms for one degree of temperature:—
| Temperature | Pressure. | log. pressure. | diff. per 1°. |
| 9.71 | 6.42 | .8075 | |
| 12.12 | 7.33 | .8651 | .0239 |
| 14.33 | 8.42 | .9253 | .0272 |
| 14.87 | 8.59 | .9340 | .0161 |
| 17.23 | 9.85 | .9934 | .0252 |
| 19.84 | 11.455 | 1.0590 | .0251 |
| 22.37 | 13.15 | 1.1189 | .0237 |
| 25.28 | 15.36 | 1.1864 | .0232 |
- ↑ Mém. Acad. Sciences, vol. xxvi, p. 758. The experiments date from 1844.
