The importance, of these observations in relation to the general theory of solution was first recognised by Van ’t Hoff. Osmotic pressure was regarded by him as analogous to gaseous pressure. Since P/C is constant for any one substance, and since for a definite weight of the solute the concentration is inversely as the volume of the solution, we obtain an equation analogous to the statement of Boyle’s law, PV = constant. Van ’t Hoff also found that the _osmotic pressure is proportional to the absolute temperature_, like the gaseous pressure. From these results, in conjunction with Avogadro’s hypothesis, it follows that _the osmotic pressure exerted by any substance in solution is the same as it would exert if present as gas in the same volume as that occupied by the solution, provided that the solution is so dilute that the volume occupied by the solute is negligible in comparison with that occupied by the solvent_. Another important consequence is that _solutes, when present in the ratio of their molecular weights in equal volumes of the same solvent, exert the same osmotic pressure_. Such solutions are said to be _isomotic_ or _isotonic_. It can be proved by thermodynamical reasoning that depression of the vapour pressure and freezing-point of a solution is proportional to its osmotic pressure. The significance of this relation in connection with the determination of the molecular weight of a soluble substance has already been referred to.[6] [6] See pp. 70–73. Determinations of molecular freezing-point depressions by Raoult and others showed that certain substances exerted only about half the osmotic pressure calculated from their known formulæ, whereas others have abnormally high osmotic pressures. The explanation of the discrepancies in the latter case was given in 1887 by Arrhenius, who pointed out that _only those solutions which have abnormally high osmotic pressures are electrically conductive_. This pregnant observation proved to be very fruitful in suggestiveness; and the connection between conductivity and Van ’t Hoff’s theory of solution was developed by Arrhenius into the doctrine of _electrolytic dissociation_ or _ionisation_—one of the most important consequences of Faraday’s electrolytic laws, the work of Hittorf, and the kinetic conceptions of Williamson and Clausius to which the last quarter of a century has given rise. Arrhenius showed that not only were free ions present in an electrically conductive solution before electrolysis, as maintained by Clausius, but that the proportion of molecules dissociated into ions could be calculated from measurements of electrical conductivity, as well as from measurements of osmotic pressure. Both methods give concordant results—a strong confirmation of the validity of the theory. In a solution of common salt, containing a gramme equivalent of that substance in a litre, Arrhenius calculated that only about three tenths of the salt exists as NaCl, the remaining