_Concentration._--The concentration of a solution is the ratio between the
quantity of the solute and the quantity of the solvent. The concentration
of a solution is expressed in various ways. (_a_) The weight of solute
dissolved in 100 grammes of the solvent. (_b_) The weight of solute present
in 100 grammes of the solution. (_c_) The weight of solute dissolved in a
litre of the solvent. (_d_) The weight of solute in a litre of the
solution. The most usual method is to give the concentration as the weight
of solute dissolved in 100 grammes or in one litre of the solvent.
_Molecular Concentration._--Many of the physical and biological properties
of a solution are proportional, not to its mass or weight concentration,
but to its molecular concentration, _i.e_. to the number of
gramme-molecules of the solute contained in a litre of the solution. Many
physical properties are quite independent of the nature of the solute,
depending only on its degree of molecular concentration.
_Normal Solution._--A normal solution is one which contains one
gramme-molecule of the solute per litre. A decinormal solution contains
one-tenth of a gramme-molecule of the solute per litre, and a centinormal
solution one-hundredth of a gramme-molecule. A normal solution of urea, for
example, {16} contains 60 grammes of urea per litre, while a normal
solution of sugar contains 342 grammes of sugar per litre.
_The Dissolved Substance is a Gas._--Van t' Hoff, using the data obtained
by the botanist Pfeffer, showed that the dissolved matter in a solution
behaved exactly as if it were a gas. The analogy is complete in every
respect. Like the gaseous molecules, the molecules of a solute are mobile
with respect to one another. Like those of a gas, the molecules of a solute
tend to spread themselves equally, and to fill the whole space at their
disposal, _i.e._ the whole volume of the solution. The surface of the
solution represents the vessel containing the gas, which confines it within
definite limits and prevents further expansion.
_Osmotic Pressure._--Like the molecules of a gas, the molecules of a solute
exercise pressure on the boundaries of the space containing it. This
osmotic pressure follows exactly the same laws as gaseous pressure. It has
the same constants, and all the notions acquired by the study of gaseous
pressure are applicable to osmotic pressure. Osmotic pressure is in fact
the gaseous pressure of the molecules of the solute.
When a gas dilates and increases in volume, its temperature falls, and cold
is produced. Similarly, when a soluble substance is dissolved, it increases
in volume, and the temperature of the liquid falls. This phenomenon is well
known as a means of producing cold by a refrigerating mixture.
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