_Osmotic Pressure follows the Laws of Gaseous Pressure._--This osmotic
pressure is in fact gaseous pressure, and may be measured in millimetres of
mercury in just the same way. We may thus show that osmotic pressure
follows the laws of gaseous pressure as defined by Boyle, Dalton, and
Gay-Lussac. The coefficient of pressure variation for change of temperature
is the same for a solute as for a gas. The formula PV = RT is applicable to
both. The numerical value of the constant R is also the same for a solute
as for a gas. being .0819 for one gramme-molecule of either, when the
volume is expressed in litres and the pressure in atmospheres. The formula
PV = RT shows that for a given mass, with the same volume, the pressure
increases in proportion to the absolute temperature.
_Osmotic Pressure of Sugar._--A normal solution of sugar, containing 342
grammes of sugar per litre, has a pressure of 22.35 atmospheres, and it may
well be asked why such an enormous pressure is not more evident. The reason
will be found in the immense frictional resistance to diffusion. Frictional
resistance is proportional to the area of the surfaces in contact, and this
area increases rapidly with each division of the substance. When a solute
is resolved into its component molecules, its surface is enormously
increased, and therefore the friction between the molecules of the solute
and those of the solvent.
_Isotonic Solutions._--Two solutions which have the same {20} osmotic
pressure are said to be iso-osmotic or isotonic. When comparing two
solutions of different concentration, the solution with the higher osmotic
pressure is said to be hypertonic, and that with the lower osmotic pressure
hypotonic.
_Lowering of the Freezing Point._--Pure water freezes at 0deg C. Raoult
showed that the introduction of a non-ionizable substance, such as sugar or
alcohol, lowers the freezing point of a solution in proportion to the
molecular concentration of the solute. One gramme-molecule of the solute
introduced into one litre of the solution lowers its temperature of
congelation by 1.85deg C. Thus a normal solution of any non-ionizable
substance in water freezes at -1.85deg C. The measurement of this lowering
of the freezing point is called Cryoscopy, a method which is becoming of
great utility in medicine.
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