Molar mass constant

Mu=0.00100000000105 kg/molM_{\mathrm{u}} = 0.00100000000105\ \text{kg/mol}
Value0.00100000000105 kg/mol
StatusMeasured: ± 3.10e-13 kg/mol (3.1e-10 relative)
SourceCODATA 2022
CategoriesThermodynamicChemistry
M_u in every molar mass unit
gram per mole1 g/mol
kilogram per mole0.001 kg/mol

Learning zone

Molar mass is the relative atomic or molecular mass times this constant: M = Ar · Mu. For the whole of the twentieth century Mu was exactly 1 g/mol by construction, because the mole was defined as the number of atoms in 12 g of carbon-12, so a species of relative mass 18.015 had a molar mass of 18.015 g/mol by definition.

The 2019 redefinition fixed the Avogadro constant instead, which cut the tie to carbon-12 and turned Mu into a measured quantity. It is now 1.000 000 001 05(31) × 10⁻³ kg/mol — different from 1 g/mol by about one part in a billion, which is a rounding error in any chemistry you will ever do, and a real effect in mass metrology. CODATA still recommends using 1 g/mol for ordinary work.