出典(authority):フリー百科事典『ウィキペディア（Wikipedia）』「2016/11/19 04:19:26」(JST)
Molality, also called molal concentration, is a measure of the concentration of a solute in a solution in terms of amount of substance in a specified amount of mass of the solvent. This contrasts with the definition of molarity which is based on a specified volume of solution.
A commonly used unit for molality in chemistry is mol/kg. A solution of concentration 1 mol/kg is also sometimes denoted as 1 molal.
The molality (b), of a solution is defined as the amount of substance (in moles) of solute, n_{solute}, divided by the mass (in kg) of the solvent, m_{solvent}:^{[1]}
In the cases of solutions with more than one solvent, molality can be defined for the mixed solvent considered as a pure pseudosolvent. Instead of mole solut per kilogram solvent as in the binary case, units are defined as mole solut per kilogram mixed solvent.^{[2]}
The term molality is formed in analogy to molarity which is the molar concentration of a solution. The earliest known use of the intensive property molality and of its adjectival unit, the nowdeprecated molal, appears to have been published by G. N. Lewis and M. Randall in the 1923 publication of Thermodynamics and the Free Energies of Chemical Substances.^{[3]} Though the two terms are subject to being confused with one another, the molality and molarity of a weak aqueous solution are nearly the same, as one kilogram of water (solvent) occupies the volume of 1 liter at room temperature and a small amount of solute has little effect on the volume.
The SI unit for molality is moles per kilogram.
A solution with a molality of 3 mol/kg is often described as "3 molal" or "3 m". However, following the SI system of units, the National Institute of Standards and Technology, the United States authority on measurement, considers the term "molal" and the unit symbol "m" to be obsolete, and suggests mol/kg or a related unit of the SI.^{[4]} This recommendation has not been universally implemented in academia yet.
The primary advantage of using molality as a measure of concentration is that molality only depends on the masses of solute and solvent, which are unaffected by variations in temperature and pressure. In contrast, solutions prepared volumetrically (e.g. molar concentration or mass concentration) are likely to change as temperature and pressure change. In many applications, this is a significant advantage because the mass, or the amount, of a substance is often more important than its volume (e.g. in a limiting reagent problem).
Another advantage of molality is the fact that the molality of one solute in a solution is independent of the presence or absence of other solutes.
Unlike all the other compositional properties listed in "Relation" section (below), molality depends on the choice of the substance to be called “solvent” in an arbitrary mixture. If there is only one pure liquid substance in a mixture, the choice is clear, but not all solutions are this clearcut: in an alcoholwater solution, either one could be called the solvent; in an alloy, or solid solution, there is no clear choice and all constituents may be treated alike. In such situations, mass or mole fraction is the preferred compositional specification.
In what follows, the solvent may be given the same treatment as the other constituents of the solution, such that the molality of the solvent of an nsolute solution, say b_{0}, is found to be nothing more than the reciprocal of its molar mass, M_{0}:
The conversions to and from the mass fraction, w, of the solute in a singlesolute solution are
where b is the molality and M is the molar mass of the solute.
More generally, for an nsolute/onesolvent solution, letting b_{i} and w_{i} be, respectively, the molality and mass fraction of the ith solute,
where M_{i} is the molar mass of the ith solute, and w_{0} is the mass fraction of the solvent, which is expressible both as a function of the molalities as well as a function of the other mass fractions,
The conversions to and from the mole fraction, x, of the solute in a singlesolute solution are
where M_{0} is the molar mass of the solvent.
More generally, for an nsolute/onesolvent solution, letting x_{i} be the mole fraction of the ith solute,
where x_{0} is the mole fraction of the solvent, expressible both as a function of the molalities as well as a function of the other mole fractions:
The conversions to and from the molar concentration, c, for onesolute solutions are
where ρ is the mass density of the solution, b is the molality, and M is the molar mass of the solute.
For solutions with n solutes, the conversions are
where the molar concentration of the solvent c_{0} is expressible both as a function of the molalities as well as a function of the molarities:
The conversions to and from the mass concentration, ρ_{solute}, of a singlesolute solution are
where ρ is the mass density of the solution, b is the molality, and M is the molar mass of the solute.
For the general nsolute solution, the mass concentration of the ith solute, ρ_{i}, is related to its molality, b_{i}, as follows:
where the mass concentration of the solvent, ρ_{0}, is expressible both as a function of the molalities as well as a function of the mass concentrations:
Alternatively, we may use just the last two equations given for the compositional property of the solvent in each of the preceding sections, together with the relationships given below, to derive the remainder of properties in that set:
where i and j are subscripts representing all the constituents, the n solutes plus the solvent.
An acid mixture consists of 0.76/0.04/0.20 mass fractions of 70% HNO_{3} / 49% HF / H_{2}O, where the percentages refer to mass fractions of the bottled acids carrying a balance of H_{2}O. The first step is determining the mass fractions of the constituents:
The approximate molar masses in kg/mol are
First derive the molality of the solvent, in mol/kg,
and use that to derive all the others by use of the equal ratios:
Actually, b_{H2O} cancels out, because it is not needed. In this case, there is a more direct equation: we use it to derive the molality of HF:
The mole fractions may be derived from this result:
Osmolality is a variation of molality that takes into account only solutes that contribute to a solution's osmotic pressure. It is measured in osmoles of the solute per kilogram of water. This unit is frequently used in medical laboratory results in place of osmolarity, because it can be measured simply by depression of the freezing point of a solution, or cryoscopy (see also: osmostat and colligative properties).
Molality appears in the expression of the apparent (molar) volume of a solute as a function of the molality b of that solute (and density of the solution and solvent):
For multicomponent systems the relation is slightly modified by the sum of molalities of solutes.
Look up molality in Wiktionary, the free dictionary. 
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リンク元  「osmotic」「重量オスモル濃度」「osmolal」「osmolar」「osmolarity」 
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