In chemistry, the mole fraction or molar fraction (
) is defined as the amount of a constituent (expressed in moles),
, divided by the total amount of all constituents in a mixture,
:
![x_i](https://upload.wikimedia.org/math/0/5/e/05e42209d67fe1eb15a055e9d3b3770e.png)
![n_i](https://upload.wikimedia.org/math/f/7/5/f75ef7544498f247df440d828aee41aa.png)
![n_{tot}](https://upload.wikimedia.org/math/9/f/c/9fc309b1b2871dd5f0ee4cace36aadfc.png)
The sum of all the mole fractions is equal to 1:
The same concept expressed with a denominator of 100 is the mole percent or molar percentage or molar proportion(mol%).
The mole fraction is also called the amount fraction. It is identical to the number fraction, which is defined as the number of molecules of a constituent
divided by the total number of all molecules
. The mole fraction is sometimes denoted by the lowercase Greek letter
(chi) instead of a Roman
. For mixtures of gases, IUPAC recommends the letter
.
![N_i](https://upload.wikimedia.org/math/b/4/a/b4ad80684ed94b4380f0d33ba54b91da.png)
![N_{tot}](https://upload.wikimedia.org/math/0/7/a/07a60eb610c55e410c2f899a84bbbb51.png)
![χ](https://upload.wikimedia.org/math/7/9/c/79c40dd2b43f3c03eaf88b5fc4c199b8.png)
![x](https://upload.wikimedia.org/math/9/d/d/9dd4e461268c8034f5c8564e155c67a6.png)
![y](https://upload.wikimedia.org/math/4/1/5/415290769594460e2e485922904f345d.png)
The National Institute of Standards and Technology of the United States prefers the term amount-of-substance fractionover mole fraction because it does not contain the name of the unit mole.
Whereas mole fraction is a ratio of moles to moles, molar concentration is a ratio of moles to volume.
The mole fraction is one way of expressing the composition of a mixture with a dimensionless quantity; mass fraction(percentage by weight, wt%) and volume fraction (percentage by volume, vol%) are others.
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