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Molar concentration or molarity is most commonly expressed in units of moles of solute per litre of solution. [2] For use in broader applications, it is defined as amount of substance of solute per unit volume of solution, or per unit volume available to the species, represented by lowercase c {\displaystyle c} : [ 3 ]
It is also equal to the molar mass (M) divided by the mass density (ρ): = = The molar volume has the SI unit of cubic metres per mole (m 3 /mol), [ 1 ] although it is more typical to use the units cubic decimetres per mole (dm 3 /mol) for gases , and cubic centimetres per mole (cm 3 /mol) for liquids and solids .
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 now-deprecated 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]
Normality is defined as the number of gram or mole equivalents of solute present in one liter of solution.The SI unit of normality is equivalents per liter (Eq/L). = where N is normality, m sol is the mass of solute in grams, EW sol is the equivalent weight of solute, and V soln is the volume of the entire solution in liters.
The molar concentration is defined as the amount of a constituent (in moles) divided by the volume of the mixture : =. The SI unit is mol/m 3. However, more commonly the unit mol/L (= mol/dm 3) is used.
Historically, the mole was defined as the amount of substance in 12 grams of the carbon-12 isotope.As a consequence, the mass of one mole of a chemical compound, in grams, is numerically equal (for all practical purposes) to the mass of one molecule or formula unit of the compound, in daltons, and the molar mass of an isotope in grams per mole is approximately equal to the mass number ...
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The International Bureau of Weights and Measures defined the mole as "the amount of substance of a system which contains as many elementary entities as there are atoms in 0.012 kilograms of carbon-12." Thus, by that definition, one mole of pure 12 C had a mass of exactly 12 g. [15] [5] The four different definitions were equivalent to within 1%.