Mass fraction (chemistry)
The symbol is also used to denote mass fraction. The sum of all the mass fractions is equal to 1:
Mass fraction can also be expressed, with a denominator of 100, as percentage by mass (in commercial contexts often called percentage by weight, abbreviated wt%; see mass versus weight). It is one way of expressing the composition of a mixture in a dimensionless size; mole fraction (percentage by moles, mol%) and volume fraction (percentage by volume, vol%) are others.
For elemental analysis, mass fraction (or mass percent composition) can also refer to the ratio of the mass of one element to the total mass of a compound. It can be calculated for any compound using its empirical formula or its chemical formula.
"Percent concentration" does not refer to this quantity. This improper name persists, especially in elementary textbooks. In biology, the unit "%" is sometimes (incorrectly) used to denote mass concentration, also called "mass/volume percentage." A solution with 1 g of solute dissolved in a final volume of 100 mL of solution would be labeled as "1 %" or "1 % m/v" (mass/volume). This is incorrect because the unit "%" can only be used for dimensionless quantities. Instead, the concentration should simply be given in units of g/mL. "Percent solution" or "percentage solution" are thus terms best reserved for "mass percent solutions" (m/m = m% = mass solute/mass total solution after mixing), or "volume percent solutions" (v/v = v% = volume solute per volume of total solution after mixing). The very ambiguous terms "percent solution" and "percentage solutions" with no other qualifiers continue to occasionally be encountered.
In alloys, especially those of noble metals, the term fineness is used for the mass fraction of the noble metal in the alloy.
The mass fraction is independent of temperature.
The mixing of two pure components can be expressed introducing the (mass) mixing ratio of them . Then the mass fractions of the components will be:
The mass ratio equals the ratio of mass fractions of components:
due to division of both numerator and denominator by the sum of masses of components.
The relation to molar concentration is like that from above substituting the relation between mass and molar concentration.
The mass percentage is sometimes called weight percent (wt%) or weight-weight percentage.
The mole fraction xi can be calculated using the formula
where Mi is the molar mass of the component i and M is the average molar mass of the mixture.
Replacing the expression of the molar mass-products: